AI tools for ctos

Tools the platform makes available to ctos. Access is enforced server-side by persona, tenant and scope — the catalog a given account can reach reflects its permissions, not this page.

387 of 388 tools.

Aggregate risk register copula

Aggregate risk-register occurrence and lognormal severity marginals through a validated Gaussian copula into expected loss, VaR, CVaR, dependence amplification, and tail shares.

Risk, tails & resilience Statistical audit & measurement

Allocate attention budget

Use exact knapsack optimization to allocate limited expert-review time by expected avoided loss.

Capacity, staffing & flow Constrained optimization

Allocate budget with CVAR constraint

Maximize expected portfolio return while keeping probability-weighted loss CVaR below a finance-owned tail-risk ceiling across aligned joint scenarios.

Investment & portfolio choice Constrained optimization

Allocate capacity by marginal value

Allocate indivisible aggregate capacity across initiative-specific diminishing marginal-value scenario curves, activation thresholds, hard minimum commitments, unit cost, and portfolio CVaR with discrete next-unit value and explicit solver certainty.

Capacity, staffing & flow Constrained optimization

Allocate capacity nash bargaining

Allocate discrete shared capacity by weighted Nash social welfare over concave team utility curves, with disagreement guarantees and a utilitarian counterfactual.

Capacity, staffing & flow Constrained optimization

Allocate restless bandit interventions

Allocate scarce recurring interventions across evolving Markov units with Whittle indices, explicit indexability checks, and paired policy simulation.

Risk, tails & resilience Sequential Bayesian & bandits

Analyze coordination entropy

Quantify privacy-safe cross-team seam complexity, concentration, latency, and failure load.

Org design, incentives & decisions Decision analysis

Analyze deep uncertainty minimax regret

Apply Savage minimax regret when scenario probabilities are not defensible, compare maximin and equal-weight choices, and use PRIM-style iterative peeling to discover compact context boxes where the robust choice remains vulnerable.

Measurement integrity Decision analysis

Analyze delayed management feedback stability

Stress the dynamic stability of a delayed signed organizational feedback model: build a VAR companion matrix from interval-valued lagged influences, evaluate midpoint, interval corners, and sampled simultaneous coefficients, calculate spectral and transient amplification margins, and rank one-edge damping leverage without claiming an exhaustive robust-control certificate.

Org design, incentives & decisions Decision analysis

Analyze info gap robust satisficing

Select a robust-satisficing action under severe uncertainty with Info-Gap Decision Theory: evaluate worst and best payoff across a governed nested uncertainty envelope, maximize the radius before a critical requirement fails, report windfall opportuneness, and use no scenario probabilities.

People, retention & knowledge Decision analysis

Attribute commercial dependency tail loss

Calculate expected loss, VaR and CVaR for commercial value concentrated in shared technical components, then allocate every modeled tail-loss dollar exactly once across components with normalized negative-log survival hazard rather than overlapping leave-one-out sensitivities.

Risk, tails & resilience Forecasting & survival

Audit agentic action control integrity

Audit operational AI-agent actions from bounded least-privilege permission scope through independently tested authorization, approval, sandbox, monitoring, rollback or compensation, and kill-switch controls, counting unique value exposure once.

AI risk, rights & assurance Statistical audit & measurement

Audit aggregate metric reversal

Detect Simpson's-paradox-style sign reversals between an executive aggregate relationship and its weighted within-stratum fixed-effect relationship, with whole-stratum bootstrap uncertainty and practical-magnitude gates.

Measurement integrity Statistical audit & measurement

Audit AI capability fallback integrity

Prove that every aggregate capability required when AI is unavailable has a current approved runbook and a sufficiently large, timely, successful, independently observed exercise conducted with AI actually disabled.

AI cost, routing & return Statistical audit & measurement

Audit AI code change evidence integrity

Prove that aggregate AI-assisted coding evidence comes from prospectively registered, nonoverlapping treatment/control studies with immutable assignment, configuration, trace and mature-outcome denominators before anyone estimates an effect.

AI cost, routing & return Causal inference & experiment design

Audit AI configuration release integrity

Audit that the exact immutable AI configuration bundle evaluated and approved is the bundle exposed in every staged rollout, with consecutive parent lineage, complete blast-radius declaration, effective runtime controls, monotone traffic and a tested prior-version rollback path.

AI risk, rights & assurance Causal inference & experiment design

Audit AI data rights provenance integrity

Audit every AI training, fine-tuning, retrieval, evaluation, logging and persisted-output use against an immutable rights grant and the complete derivative lineage, including time, revocation, deletion, purpose, jurisdiction, consent, derivative and evidence gates.

AI risk, rights & assurance Statistical audit & measurement

Audit AI evaluation contamination integrity

Audit frozen AI evaluation suites for temporal or answer leakage, model-version mismatch, incomplete pre-label predictions, weak label provenance, missing subgroup support, cross-suite case reuse and near-duplicate content components before evaluation scores are trusted.

AI risk, rights & assurance Forecasting & survival

Audit AI inference cost allocation integrity

Reconcile provider AI invoices bottom-up to workload and route usage, price terms, cached requests, retries, fixed charges and credits without combining currencies or silently allocating unexplained spend.

AI cost, routing & return Statistical audit & measurement

Audit AI knowledge grounding integrity

Audit the complete AI knowledge supply chain from immutable source versions through indexed chunks and effective access policy to retrieved evidence, claim-level citations and honestly mature grounding outcomes, without treating unresolved answers as failures.

AI cost, routing & return Constrained optimization

Audit AI model routing evidence integrity

Audit every live AI-model route against current version-matched local evaluation, uncontaminated temporal holdout, pricing freshness, residency, retention, reliability and genuinely independent provider fallback evidence, counting each workload's value at risk once.

AI cost, routing & return Forecasting & survival

Audit AI output IP provenance integrity

Audit aggregate AI outputs against the exact model and provider terms effective at generation, pre-commercialization similarity evidence, counsel-owned ownership/use rules, human review and any claimed indemnity coverage.

AI risk, rights & assurance Statistical audit & measurement

Audit AI privacy budget integrity

Recompute each aggregate AI privacy account from its immutable release ledger using additive Rényi differential-privacy composition and target-delta conversion, while auditing order grids, sequence, hashes, accounting periods, purpose, review approval, evidence and claimed-versus-actual budget spend.

AI risk, rights & assurance Statistical audit & measurement

Audit AI regulatory obligation evidence integrity

Audit point-in-time AI-system classification, counsel-supplied obligation applicability, control evidence and incident-reporting clocks without pretending to infer law.

AI risk, rights & assurance Statistical audit & measurement

Audit AI routing experiment integrity

Audit prospectively registered AI-route experiments at the randomization-unit/period/route grain, reconciling logged propensities, allocation fidelity, pre-assignment balance, crossover, outcome maturity, simultaneous-experiment overlap and unique value at risk before any causal effect is reported.

AI cost, routing & return Causal inference & experiment design

Audit AI workflow trace value integrity

Audit every AI workflow execution from root trace through model, tool, cache, review and control steps to one mature business outcome, reconciling parent lineage, retries, wall-clock latency, direct cost and uniquely attributed net value while retaining unfinished work.

AI cost, routing & return Statistical audit & measurement

Audit analytical specification multiverse

Audit whether an analytical conclusion survives a prespecified multiverse of admissible windows, cohorts, metrics, and models using aligned bootstrap draws, a weighted specification curve, practical-effect support gates, and descriptive choice-influence diagnostics.

Analytics assurance & orchestration Statistical audit & measurement

Audit analytics challenger independence

Audit whether an analytical challenger supplies genuinely independent error information: use paired temporal moving-block bootstrap bounds on error correlation, incumbent-failure catch rate and common-mode joint failure, with simultaneous Bonferroni control across every screened challenger and explicit evidence gates.

Analytics assurance & orchestration Statistical audit & measurement

Audit analytics function calibration readiness

Gate analytical functions on paired out-of-time decision loss against a frozen baseline using temporal moving-block bootstrap, autocorrelation- and weight-adjusted effective sample size, evidence coverage, lower confidence bounds, improvement probability and recent degradation rather than declaring a model calibrated from training fit.

Analytics assurance & orchestration Statistical audit & measurement

Audit analytics transportability

Audit whether locally calibrated analytical functions retain decision-loss improvement across target-similar operating environments using similarity-weighted random-effects meta-analysis, between-environment variance, I-squared, sign consistency and a conservative target prediction interval.

Analytics assurance & orchestration Forecasting & survival

Audit attention fragmentation evidence integrity

Audit consented point-in-time contributor identity, availability, privacy-safe calendar metadata and work-session lineage before reporting aggregate meeting load, protected focus blocks or cross-project switching.

People, retention & knowledge Statistical audit & measurement

Audit attrition risk prediction integrity

Audit an attrition model's complete eligible cohort, point-in-time features, supportive-use governance, intervention-contaminated labels, competing outcomes, calibration, false positives and authorized subgroup error before any person-level use.

People, retention & knowledge Forecasting & survival

Audit benefit double counting

Reconcile business-case benefit claims to unique economic source pools and allocation fractions, exposing overallocated sources and claim-level mismatches before portfolio value is aggregated.

Finance & unit economics Constrained optimization

Audit budget constraint binding

Audit whether a claimed budget constraint genuinely blocks value after dependency-feasible portfolio reallocation, separating current-plan inefficiency from scarcity with scenario CVaR and a discrete budget shadow price.

Investment & portfolio choice Constrained optimization

Audit cash flow timing consistency

Audit whether economic-event and cash-settlement timing obey governed lag rules across coherent scenarios, quantify the resulting NPV distortion, reconstruct scenario liquidity paths, and separate timing exceptions from liquidity-tail exposure without treating exceptions as wrongdoing.

Finance & unit economics Statistical audit & measurement

Audit causal claim negative controls

Gate a causal effect claim using prespecified negative outcome/exposure controls, Benjamini-Hochberg multiplicity control, and an omnibus chi-square falsification test.

Causal evidence & experiments Causal inference & experiment design

Audit CI pipeline evidence integrity

Audit the complete point-in-time change-to-pipeline-to-job-to-rerun cohort, exposing missing CI, orphan records, future leakage, inconsistent required-job outcomes, incomplete provider evidence and same-configuration fail-then-pass flake proxies without scoring people.

Quality, incidents & reliability Statistical audit & measurement

Audit cluster randomization integrity

Audit cluster-randomized experiments for practical baseline imbalance and differential outcome observation, with cluster-size-weighted standardized differences and assignment permutation diagnostics.

Causal evidence & experiments Causal inference & experiment design

Audit code knowledge concentration integrity

Audit file, module, service, or repository knowledge concentration from point-in-time substantive changes, reviews, incident response and documentation using identity-confidence filtering, recency decay, Bayesian ownership uncertainty, entropy-effective owners, HHI and leave-top-owner-out resilience—without turning contribution evidence into a person-performance score.

People, retention & knowledge Sequential Bayesian & bandits

Audit commercial resilience claim integrity

Audit resilience ROI claims against a unique commercial-source to technical-component graph: recompute each action's avoided loss under joint failure scenarios, cap support at graph-derived value, detect duplicate effects, probability drift and weak evidence, and prevent overlapping component benefits from being sold twice.

Risk, tails & resilience Network & dependency analysis

Audit commercial technical commitment integrity

Audit signed commercial promises against explicitly allocated technical scope, dependency order, funded capacity, acceptance criteria and evidence; expose orphan scope, double allocation, cycles, late plans and maximum contractual penalty without interpreting legal rights from engineering activity.

Delivery forecasting & commitments Constrained optimization

Audit cost allocation consistency

Audit whether shared engineering, platform, cloud, vendor, or operating cost pools reconcile to source totals and follow their declared pro-rata allocation bases at every target.

Finance & unit economics Statistical audit & measurement

Audit cost capitalization sensitivity

Audit whether permitted software-cost capitalization choices change reported project ROI and priority even though scenario cash NPV, downside, and economic rank are unchanged.

Finance & unit economics Statistical audit & measurement

Audit cyber control evidence integrity

Audit whether claimed defense in depth is supported by current independent control tests mapped to declared attack-path steps, while preserving duplicate mappings and counting each exposed business asset only once.

Security, access & compliance Statistical audit & measurement

Audit data sovereignty residency evidence integrity

Audit every governed data asset's point-in-time storage, processing, replica, backup, log/cache and key locations plus cross-region transfers against an effective counsel-supplied residency policy, independent evidence, encryption controls and retention limits.

Security, access & compliance Constrained optimization

Audit decision execution fidelity

Audit whether approved decisions actually became verified implementation at the promised aggregate-unit and component grain, with whole-unit bootstrap uncertainty and simultaneous gates for fidelity, overdue scope, unverifiable evidence, exceptions and critical gaps.

Delivery forecasting & commitments Statistical audit & measurement

Audit decision flow integrity

Audit management decision histories for unresolved work, state cycles, unowned dwell and excessive lead-time tails using immutable event sequences, whole-decision bootstrap uncertainty, simultaneous flow-level gates and state bottleneck diagnostics.

Org design, incentives & decisions Statistical audit & measurement

Audit decision rank robustness smaa

Measure rank acceptability, regret, pairwise dominance, and central winning weights under uncertain criterion scores and bounded stakeholder weights.

Risk, tails & resilience Statistical audit & measurement

Audit delivery to cash chain integrity

Reconcile each governed milestone from delivery-ready evidence through customer acceptance, billing eligibility, net invoicing and collected cash; enforce temporal ordering, eligible-unbilled and outstanding-receivable identities, evidence separation and bounded diagnostics without treating Git activity as an accounting fact.

Finance & unit economics Statistical audit & measurement

Audit executive technology reporting integrity

Audit a frozen executive technology pack for complete metric/risk scope, point-in-time source and definition lineage, numerical reconciliation, supported narrative direction, independent review and evidence coverage.

Org design, incentives & decisions Statistical audit & measurement

Audit extreme metric tail dependence

Detect extreme metric co-exceedances beyond independence with empirical tail coefficients, permutation inference, practical magnitude gates, and FDR control.

Risk, tails & resilience Statistical audit & measurement

Audit financing term sheet integrity

Audit startup financing terms as exact share, price, proceeds and ownership identities: include pre-money option-pool increases and converting instruments in the pricing denominator, keep secondary purchases out of company cash and post-money share creation, reconcile primary issuance, post-money equity value and reported investor ownership, and retain evidence failures and impossible fees or secondary sales.

Investment & portfolio choice Statistical audit & measurement

Audit forecast ensemble lineage integrity

Audit whether a claimed forecast ensemble is a complete, independently sealed and point-in-time evidence set rather than duplicated consensus, then score only mature uncontaminated outcomes.

Analytics assurance & orchestration Forecasting & survival

Audit fundraising pipeline integrity

Audit a fundraising pipeline as point-in-time evidence rather than CRM theater: reconstruct monotone stage events, terminal status and primary proceeds, retain open opportunities as censored, reject forecasts made after resolution, detect duplicate active investor accounts, and gate the portfolio on mature-forecast support, Brier loss and calibration gap.

Investment & portfolio choice Forecasting & survival

Audit growth incrementality experiment integrity

Audit aggregate randomized growth experiments before anyone trusts channel incrementality: enforce unique experimental units, nondegenerate logged propensities, both arms, control-spend discipline, baseline balance, spillover and evidence gates; then estimate propensity-weighted baseline-adjusted contribution, cluster-unit bootstrap uncertainty and incremental return on spend.

Causal evidence & experiments Causal inference & experiment design

Audit human AI decision complementarity

Audit whether a governed human-AI decision process reduces prospective loss below the better standalone human or AI policy using paired shadow decisions, cluster bootstrap uncertainty, disagreement support and simultaneous gates across all screened systems.

AI cost, routing & return Constrained optimization

Audit incident learning evidence integrity

Audit the complete point-in-time incident-to-postmortem-to-corrective-action lineage, separating missing or contradictory evidence from genuine overdue learning debt without attributing individual fault.

Quality, incidents & reliability Statistical audit & measurement

Audit informative metric missingness

Audit whether aggregate metric availability is associated with a governed outcome using permutation inference, bootstrap intervals, practical effect gates, and false-discovery control.

Measurement integrity Statistical audit & measurement

Audit joint metric dependency drift

Detect changes in cross-metric dependence with empirical-copula ranks, random-feature permutation inference, sliced Wasserstein magnitude, and FDR-controlled pair diagnostics.

Measurement integrity Statistical audit & measurement

Audit joint outcome network integrity

Audit whether a company-specific Bayesian joint-outcome network is fit for reliance by validating point-in-time lineage, DAG and CPT completeness, effective support, protected-attribute exclusions, and strictly out-of-time outcome calibration against a baseline.

Causal evidence & experiments Sequential Bayesian & bandits

Audit KPI threshold bunching

Detect a post-target excess concentration immediately above a governed KPI threshold: compare within-unit pre/post local mass and above-versus-below mirror asymmetry, bootstrap whole units, report density bins and a smoothed log-density jump, and explicitly refuse to equate bunching with individual gaming or intent.

Delivery forecasting & commitments Statistical audit & measurement

Audit metric regime stability

Detect practical structural breaks across aggregate metric histories with recursive max-CUSUM search, moving-block null resampling, and familywise false-alarm control, then identify the defensible baseline regime.

Risk, tails & resilience Statistical audit & measurement

Audit multigroup metric measurement invariance

Audit whether a multi-indicator aggregate management metric measures a comparable one-factor construct across teams, products, repositories, periods, or companies: fit training-only pooled and group PCA loadings, test configural dominance, metric loading cosine, scalar intercept range, residual variance, and untouched-test reconstruction invariance before any group ranking is trusted.

Org design, incentives & decisions Statistical audit & measurement

Audit multivariate metric drift

Detect material distribution shifts with reference-fixed quantile bins, PSI, Jensen-Shannon divergence, standardized Wasserstein distance, permutation tests, and FDR control.

Measurement integrity Statistical audit & measurement

Audit onboarding mentorship evidence integrity

Audit point-in-time onboarding cohorts, ordered autonomy milestones, source completeness and corroborated mentorship windows before publishing privacy-safe ramp evidence.

People, retention & knowledge Statistical audit & measurement

Audit operational alert decision integrity

Audit every point-in-time operational alert evaluation by recomputing fire/suppress decisions and verifying effective policy, cooldown, evidence freshness, context, controls, severity routing, acknowledgement, action and mature outcome lineage.

Quality, incidents & reliability Constrained optimization

Audit order to cash bridge integrity

Reconcile the operational finance chain period by period: remaining performance obligation equals opening RPO plus bookings minus scope reductions and recognized revenue; signed net contract position equals opening position plus net billings minus revenue; accounts receivable equals opening AR plus net billings minus cash and write-offs; then enforce continuity, evidence and impossible-balance gates.

Finance & unit economics Statistical audit & measurement

Audit org health score integrity

Reconstruct the organization-health composite from frozen component evidence and block publication when source completeness, consent, versioning, construct balance, cross-group measurement invariance, redundancy, privacy or leave-one-component stability fails.

People, retention & knowledge Statistical audit & measurement

Audit organizational change simulation integrity

Audit whether an organizational or technology what-if simulation is fit for reliance by checking point-in-time model lineage, local history, factor support, second-order dependency structure, calibration, scenario reconciliation and individual-level safeguards.

Org design, incentives & decisions Statistical audit & measurement

Audit point in time model integrity

Gate an analytical or AI model on point-in-time correctness by auditing actual feature availability, snapshot creation, target-window ordering, outcome resolution, source-record reuse, and embargoed train/calibration/test boundaries, with row and feature diagnostics rather than a generic leakage warning.

Measurement integrity Statistical audit & measurement

Audit policy feedback performativity

Audit whether deploying a probability-driven policy is associated with a changed score-to-outcome relationship: compute cluster-level exposed-versus-comparison pre/post differences in predictions, outcomes, calibration residuals, and Brier loss; bootstrap the assignment unit; and abstain when baseline balance or score overlap cannot support the comparison.

Measurement integrity Forecasting & survival

Audit portfolio dependency value double counting

Reconcile project and dependency business-case claims to governed unique benefit sources under coherent scenarios, quantifying naive, unique, duplicated, and unassigned value before portfolio prioritization.

Risk, tails & resilience Constrained optimization

Audit probabilistic forecasts

Audit whether resolved probability forecasts are accurate, calibrated, discriminating, and better than a base-rate prediction.

Measurement integrity Forecasting & survival

Audit probability policy subgroup equity

Audit an aggregate probability-driven policy across governed groups using weighted selection, error-rate, predictive-value, Brier, and calibration disparities; within-group bootstrap uncertainty; practical tolerances; privacy/support abstention; and Benjamini-Hochberg false-discovery control.

People, retention & knowledge Constrained optimization

Audit proxy metric integrity

Audit whether an incentivized proxy structurally decoupled from outcomes or harmed guardrails using counterfactual residuals, bootstrap break tests, placebos, and multiplicity correction.

Measurement integrity Statistical audit & measurement

Audit recommendation coherence

Audit whether analytical recommendations for the same decision remain comparable, current, supported and coherent after every unique evidence lineage receives one vote split across its claimants, preventing duplicated source data from manufacturing consensus.

Analytics assurance & orchestration Statistical audit & measurement

Audit recurring revenue bridge integrity

Audit recurring revenue as a continuous stock/flow ledger: reconcile opening revenue through new, expansion, reactivation, contraction, churn, FX and acquisition/divestiture movements to closing revenue; require each next opening to equal the prior close; and recompute GRR and NRR on an organic existing-customer perimeter that cannot be inflated by new business, reactivation, FX or M&A.

Customer, revenue & pricing Statistical audit & measurement

Audit release risk prediction integrity

Audit a complete eligible-change release-risk cohort for point-in-time prediction lineage, exact change-to-deployment linkage, mature mutually exclusive outcomes, selective labels, score-triggered intervention contamination, calibration and false alarms before the score influences a release decision.

Delivery forecasting & commitments Forecasting & survival

Audit ROI denominator integrity

Reconcile each claimed ROI investment denominator with evidenced cost entries, required categories, inclusion fractions, and shared evidence identity, then recompute ROI before a business case reaches prioritization.

Finance & unit economics Statistical audit & measurement

Audit root cause traceback evidence integrity

Audit whether an anomaly traceback is complete, point-in-time, multiplicity-controlled and honestly labeled as temporal or causal, including every upstream candidate, path lag, edge identification basis and later root-recovery validation.

Quality, incidents & reliability Causal inference & experiment design

Audit scenario tree decision integrity

Audit whether an adaptive management or capital policy is executable rather than clairvoyant: reconcile terminal probability mass, tree depth and unique node ancestry; require identical actions and information releases for indistinguishable histories; reject actions whose declared evidence is revealed only later; and retain unverified scenario exposure.

Risk, tails & resilience Constrained optimization

Audit selective label partial identification

Partially identify event risk, calibration gap, and Brier score when a policy selectively reveals outcomes: retain missing labels, model observed-versus-missing event odds within each decision stratum under a governed sensitivity ratio, propagate Beta posterior uncertainty, expose unsupported strata and label coverage, and fail closed on wide bounds or undocumented decision rules.

Measurement integrity Sequential Bayesian & bandits

Audit service continuity recovery evidence integrity

Audit whether each critical service has a current, independently reviewed recovery plan whose complete capability/dependency path, backup, restore, failover, communications, RTO and RPO were proven in a recent production-representative exercise.

Risk, tails & resilience Statistical audit & measurement

Audit shadow AI inventory integrity

Reconcile the approved AI-service registry against gateway, DNS/CASB, SSO, expense and provider evidence by deduplicating canonical aggregate usage events, then audit registration, status, domain/data-class policy, broker routing, contracts, security/privacy review, telemetry completeness and reported usage/spend.

AI risk, rights & assurance Constrained optimization

Audit software supply chain integrity

Audit the deployed runtime software supply chain from application roots through resolved dependency edges: reconcile SBOM freshness, version resolution, source pinning, artifact attestation, support horizon, license policy, vulnerability disposition, evidence coverage and unique application value without treating repository text as provenance or exploitability evidence.

Security, access & compliance Constrained optimization

Audit staggered rollout identification

Audit staggered team-by-team adoption with not-yet-treated controls and require every simultaneous pre-period interval to fit inside a governed equivalence margin.

Causal evidence & experiments Causal inference & experiment design

Audit strategic assumption lineage

Audit every aggregate initiative-value claim against a versioned canonical premise, unit, validation period and independent evidence lineage; retain unknown references, detect stale, unverified, conflicting and source-reused exposure, and gate hidden portfolio concentration in assumptions shared across initiatives.

Analytics assurance & orchestration Constrained optimization

Audit sunk cost escalation

Audit whether cumulative sunk cost predicts aggregate project continuation after project fixed effects, checkpoint time, forward value, success probability, remaining cost, and future irreversibility, with project-cluster bootstrap uncertainty.

Delivery forecasting & commitments Statistical audit & measurement

Audit technical asset lifecycle integrity

Audit technical-asset lifecycle and value lineage across placed-in-service, assessment and retirement events; detect orphan active assets, stale recoverability evidence, active value links after retirement, remaining book value on retired assets and duplicated value-source attribution without treating engineering activity as accounting evidence.

Finance & unit economics Statistical audit & measurement

Audit technology diligence evidence integrity

Audit a frozen technology diligence case against buyer-declared system/domain/claim scope, management assertions and fresh, rights-cleared, independently reviewed point-in-time evidence.

Investment & portfolio choice Statistical audit & measurement

Audit technology financing plan integrity

Audit multi-period technology financing plans as continuous sources-and-uses ledgers: reconcile cash and debt identities, opening-to-closing continuity, period completeness, verified evidence, liquidity headroom and reported versus computed net-leverage covenants without hiding undefined leverage behind a favorable ratio.

Finance & unit economics Statistical audit & measurement

Audit technology loss scenario integrity

Audit a technology loss-scenario ledger as a complete, zero-inclusive, point-in-time financial perimeter: reconcile every expected aggregate exposure and source, freeze scenario/currency/price basis, enforce evidence and privacy, and detect economic-loss lineage reused outside an explicit shared-loss group.

Risk, tails & resilience Statistical audit & measurement

Audit technology risk appetite integrity

Audit whether board technology-risk appetite is executable rather than rhetorical: verify approval and point-in-time lineage, reconcile the root to finance limits, cover every aggregate risk unit exactly once, validate an acyclic owner/action limit tree, cap unsupported diversification credit and surface every breach with an executable escalation.

Risk, tails & resilience Statistical audit & measurement

Audit value realization chain integrity

Audit one frozen aggregate cohort chain from eligible strategy scope through implementation, adoption, business outcome, monetization and cash collection, using whole-cohort bootstrap and simultaneous conversion, end-to-end, evidence and support gates.

Investment & portfolio choice Statistical audit & measurement

Audit vendor lock in exposure

Audit whether every vendor-dependent business capability has a complete, scenario-executable exit portfolio; solve minimum-loss set cover exactly inside a governed state boundary, disclose heuristic fallback, and report infeasible-exit probability, expected loss, CVaR, lead time, and value concentration without converting vendor exposure into misconduct evidence.

Vendors, sourcing & build-vs-buy Constrained optimization

Audit workforce identity access evidence integrity

Audit the point-in-time chain from an opaque workforce subject through authorized accounts, independent identity evidence, approved least-privilege grants and MFA/device-backed access events.

Security, access & compliance Statistical audit & measurement

Bayesian account risk triage

Prioritize human review of auditable account-security and policy-conflict evidence using Bayes factors and decision costs.

Security, access & compliance Sequential Bayesian & bandits

Build reverse stress scenarios

Solve the minimum standardized bounded combination of adverse driver shocks needed to breach a governed operating or financial threshold, with driver contributions, binding bounds, and single-driver break points.

Finance & unit economics Decision analysis

Calculate analytics calibration liability

Price the hidden financial liability of stale analytical functions from coherent joint calibration-failure scenarios, decision value at risk, loss fractions and remediation costs; calculate expected loss, VaR, CVaR, reserve breach probability, required reserve and exactly reconciled tail contributions.

Analytics assurance & orchestration Simulation & stress testing

Calculate analytics portfolio realized ROI

Reconcile the analytics portfolio's realized ROI from unique finance-owned incremental benefit sources, causal-evidence weights, non-overlapping function allocations, implementation/recurring/shared costs and coherent joint scenarios, with positive-value probability and CVaR loss gates.

Analytics assurance & orchestration Causal inference & experiment design

Calculate break even delivery date

Find the latest economically supported delivery period across coherent value, remaining-cost, recurring-contribution, operating-cost, value-decay, cost-growth and delay-cost scenarios; enforce expected NPV, positive-NPV probability and CVaR gates while keeping the economic deadline distinct from a completion forecast.

Delivery forecasting & commitments Forecasting & survival

Calculate build buy partner npv

Compare build, buy, and partner lifecycle NPV under coherent joint scenarios, explicit strategic option and switching value, downside CVaR, and governed value gates.

Vendors, sourcing & build-vs-buy Decision analysis

Calculate capital efficiency frontier

Construct a monotone concave capital-to-realized-value envelope, estimate each initiative or portfolio company's relative capital efficiency and value gap, and expose diminishing frontier returns without arbitrary weights.

Finance & unit economics Constrained optimization

Calculate churn prevention break even

Calculate the absolute churn reduction an intervention must cause to break even, then test aligned baseline/treated scenarios against probability-of-positive-value and portfolio CVaR gates.

Customer, revenue & pricing Constrained optimization

Calculate customer concentration technology risk

Quantify the joint tail risk created when customer contribution is concentrated on shared technology, using coherent failure scenarios, non-additive dependency losses, CVaR, and overlapping component sensitivities.

Finance & unit economics Decision analysis

Calculate decision debt liability

Price unresolved management decision debt from coherent joint scenarios for accumulated delay, value at risk, rework, staleness and resolution cost; calculate expected liability, reserve breach, confidence reserve, CVaR and exactly reconciled decision tail contributions.

Org design, incentives & decisions Simulation & stress testing

Calculate earned value forecast

Turn period-level planned value, accepted earned value, and actual cost into a correlated Bayesian CPI/SPI distribution for final cost, completion period, budget overrun, and deadline miss, with classical EAC cross-checks and an early-progress abstention gate.

Delivery forecasting & commitments Sequential Bayesian & bandits

Calculate engineering runway

Compare three-point roadmap effort with three-point team capacity and expose unfunded commitments.

Capacity, staffing & flow Decision analysis

Calculate engineering unit economics

Calculate uncertainty-aware engineering cost and net incremental contribution per adopted business outcome across aligned scenarios, including quality/run cost and downside-margin probability.

Finance & unit economics Decision analysis

Calculate execution value leakage

Translate incomplete scope, delay-driven value decay, rework and approved-exception costs into coherent expected, reserve-quantile and tail-CVaR execution leakage, with exact decision-level reconciliation to net realized value.

Delivery forecasting & commitments Decision analysis

Calculate feature cost to serve

Calculate fully loaded feature cost and CVaR cost per verified adopted account across aligned build-amortization, run, support, usage, and adoption scenarios.

Finance & unit economics Decision analysis

Calculate financial value of modularity

Value modular architecture as a portfolio of exercisable future-change options, comparing architecture-specific cost, lead time, throughput capacity, discounting, value decay, downside CVaR, and the break-even modular investment.

Risk, tails & resilience Constrained optimization

Calculate financing exit waterfall

Calculate a financing exit waterfall across coherent outcomes with debt and transaction costs, preferred seniority, equal-rank pro-rata shortfall, liquidation preferences, participating residual, iterative participation caps and endogenous class-by-class conversion; require a pure no-profitable-deviation conversion equilibrium, exact payout reconciliation and verified security/scenario evidence before reporting stakeholder payout, MOIC, annualized return and downside.

Investment & portfolio choice Statistical audit & measurement

Calculate hidden work tax

Translate unplanned work, rework, incidents, and coordination into capacity and cost leakage.

Capacity, staffing & flow Decision analysis

Calculate human AI decision system value

Calculate the complete economic value of a prospectively validated human-AI decision system from coherent volume and loss scenarios after implementation, AI operation, human review and decision-delay costs, with positive-value probability, return-on-cost and CVaR downside.

AI cost, routing & return Statistical audit & measurement

Calculate incremental cost effectiveness ratio

Construct a probabilistic incremental cost-effectiveness frontier from jointly aligned cost and outcome scenarios; remove strict and extended dominance before calculating ICERs, and select by expected net benefit plus a cost-effectiveness acceptability curve at organization-owned willingness-to-pay thresholds.

Delivery forecasting & commitments Statistical audit & measurement

Calculate opportunity cost of WIP

Quantify the expected value-delay cost of the current WIP completion pattern against the Smith-rule focus sequence, including scenario probability and tail disadvantage.

Delivery forecasting & commitments Forecasting & survival

Calculate procurement negotiation range

Calculate an uncertainty-aware procurement bargaining zone from independently governed buyer and supplier BATNA economics; protect both reservation prices at explicit confidence levels, derive a bargaining-weight target, quantify ZOPA probability and tail overpayment, and abstain when evidence cannot support an overlap.

Customer, revenue & pricing Decision analysis

Calculate recommendation conflict exposure

Price the expected, reserve-quantile and tail-CVaR regret of a current action when locally calibrated analytical recommendations conflict, using coherent action-loss scenarios and provenance-adjusted support that cannot be inflated by duplicate source lineage.

Analytics assurance & orchestration Decision analysis

Calculate risk adjusted npv

Discount aligned scenario cash-flow paths, expose positive-NPV probability and loss VaR/CVaR, then apply an explicit finance-owned CVaR penalty to test a risk-adjusted investment hurdle.

Investment & portfolio choice Decision analysis

Calculate shadow price of capacity

Calculate lumpy, discrete capacity shadow prices by re-optimizing a scenario-valued initiative portfolio after a governed increment to each resource, with CVaR penalty and explicit exact or heuristic solver status.

Capacity, staffing & flow Constrained optimization

Calculate shared assumption risk exposure

Price coherent portfolio value loss when necessary assumptions interact multiplicatively and recur across initiatives; size reserve, breach probability and CVaR, then use exact continuous-integral Shapley attribution to reconcile nonlinear expected and tail loss to the premises creating hidden concentration.

Analytics assurance & orchestration Constrained optimization

Calculate strategy to cash conversion

Reconcile approved strategy value sequentially through implementation, adoption, outcome, monetization and collection under coherent scenarios, producing mutually exclusive stage leakage, gross and net cash conversion, reserve need, breach probability, CVaR and exact initiative tail contributions.

Investment & portfolio choice Decision analysis

Calculate technology economic capital

Calculate expected loss, loss VaR/CVaR, unexpected-loss economic capital, capital charge and technology RAROC under coherent finance-owned scenarios; count shared platform/provider loss once and reconcile it to aggregate units with exact or seeded-permutation Shapley allocation.

Risk, tails & resilience Decision analysis

Calculate technology plan financeability

Calculate whether a technology plan remains liquid and net-leverage compliant across coherent multi-period cash, debt, investment, financing and EBITDA scenarios; derive the exact minimum period-zero unrestricted capital per path, confidence reserve, breach trajectory and CVaR residual funding shortfall.

Finance & unit economics Decision analysis

Calculate technology risk capacity and headroom

Translate technology loss into board-level risk capacity by jointly stressing liquidity, earnings, covenant and capital absorption; report expected loss, exact probability-mass VaR/CVaR, unexpected-loss capital, appetite headroom, binding constraints and the maximum supported loss multiplier before the approved breach probability fails.

Risk, tails & resilience Decision analysis

Calculate value of delay to decide

Calculate a period-by-period value-of-delay curve that separates prospectively available information from waiting cost and changing action economics under coherent scenarios.

Delivery forecasting & commitments Decision analysis

Calculate value of independent analytics challenge

Calculate the economic value of an independent analytical challenge from coherent incumbent and challenged loss scenarios after complete challenge and decision-delay costs, with probability-of-positive-value and CVaR downside gates.

Analytics assurance & orchestration Decision analysis

Calculate value of management flexibility

Price only executable management flexibility on one coherent scenario set: compare a frozen static plan, a nonanticipative adaptive policy and a perfect-information upper bound; separate expected flexibility from remaining information value, tail underperformance and tail regret; quantify liquidity-risk reduction; and refuse value when policy integrity, evidence or dominance fails.

Risk, tails & resilience Constrained optimization

Calculate venture milestone efficiency

Compare evidence-adjusted milestone progress and scenario value uplift per cash consumed, preserving efficiency, value, and downside as a Pareto frontier instead of one opaque portfolio-company score.

Investment & portfolio choice Constrained optimization

Calibrate business case forecasts

Calibrate positive business-case forecasts with chronological empirical-Bayes log-ratio correction, sparse-category shrinkage, proper-score validation, and interval-coverage gates.

Investment & portfolio choice Forecasting & survival

Cluster process markov archetypes

Discover privacy-eligible workflow archetypes from aggregate Markov transition counts using empirical-Bayes shrinkage, Jensen-Shannon k-medoids, silhouette quality, and posterior assignment stability.

Delivery forecasting & commitments Sequential Bayesian & bandits

Compute robust operating viability kernel

Compute the maximal robust controlled-invariant set of safe operating states under complete set-valued state-action transitions, identify every feedback action that keeps all modeled successors viable indefinitely, and expose finite guaranteed-survival layers for states outside the kernel without using probabilities or rewards.

Measurement integrity Forecasting & survival

Conformalize prediction intervals

Apply finite-sample split-conformal inflation to model intervals, with Mondrian group corrections and explicit global fallback for sparse groups.

Measurement integrity Forecasting & survival

Construct calibration shared evidence graph

Discover stable candidate relationships for shared calibration design by correlating standardized held-out loss improvement across common environments, resampling whole environments, stability-selecting practical edges, controlling sign discoveries with Benjamini-Hochberg FDR and returning connected components without claiming parameter transfer.

Analytics assurance & orchestration Network & dependency analysis

Construct deterministic project pareto frontier

Construct the exact practically nondominated frontier and successive Pareto layers across projects, products, vendors, or investments without hiding tradeoffs behind arbitrary score weights.

Investment & portfolio choice Statistical audit & measurement

Construct quality speed cost pareto surface

Construct a stochastic three-dimensional quality, delivery-time, and cost Pareto surface with practical dominance, membership probability, and a transparent maximin navigator.

Finance & unit economics Decision analysis

Construct stochastic pareto frontier

Construct a stochastic Pareto frontier from aligned joint criterion scenarios using scenario-wise frontier membership and pairwise practical chance dominance rather than dominance of point estimates.

Investment & portfolio choice Statistical audit & measurement

Control online alert false discoveries

Control false discoveries across a prespecified live hypothesis stream with LORD++ and an infinite geometric alpha-spending sequence.

Measurement integrity Decision analysis

Decompose product margin change

Decompose product operating-profit and margin change across volume, price, variable unit cost, and fixed cost using an order-invariant exact Shapley bridge.

Finance & unit economics Statistical audit & measurement

Design balanced stepped wedge rollout

Assign teams or other aggregate clusters to capacity-constrained rollout waves with pair-exchange optimization of cumulative causal balance, represented population, and rollout risk.

Causal evidence & experiments Causal inference & experiment design

Design incentive compatible metric contract

Design metric weights and audit rates as a robust Stackelberg contract, anticipating effort, gaming, detection, guardrail harm, and adversarial equilibrium tie-breaking.

Org design, incentives & decisions Statistical audit & measurement

Detect operational critical slowing down

Detect early-warning patterns associated with an aggregate system losing resilience before a possible regime transition: locally detrend rolling windows, track rising lag-one autocorrelation, variance, and spectral reddening, compare endpoint shifts with a frozen reference regime, and control multiplicity under a circular moving-block bootstrap.

Risk, tails & resilience Decision analysis

Discover environment invariant predictive model

Search every nonempty subset of up to eight candidate features for a sparse predictive relationship whose validation residual bias and error remain within governed limits across represented environments, select without touching the test split, and compare the chosen model once against the full model on future-held-out environment data.

Measurement integrity Decision analysis

Estimate budget contingency reserve

Size an engineering or investment contingency reserve from one coherent joint cost distribution, stress represented scenario probabilities inside a governed total-variation radius, preserve natural offsets, and exactly reconcile robust tail overrun to aggregate cost items.

Delivery forecasting & commitments Statistical audit & measurement

Estimate cannibalization adjusted feature value

Estimate feature value after posterior cannibalization of legacy contribution, using aligned adoption scenarios, beta-binomial substitution uncertainty, and value plus substitution-risk gates.

Customer, revenue & pricing Sequential Bayesian & bandits

Estimate causal value of execution fidelity

Estimate how much outcome value an additional unit of implementation fidelity causes by using randomized enablement as an encouragement instrument, with whole-cluster arm bootstrap, first-stage, balance, negative-control and ratio-stability gates.

Delivery forecasting & commitments Causal inference & experiment design

Estimate competing delivery risks

Estimate age-conditional probabilities of delivery, cancellation, escalation, or remaining active with Aalen-Johansen competing risks and bootstrap intervals.

Delivery forecasting & commitments Statistical audit & measurement

Estimate coordination network percolation

Estimate organizational network tipping points under random versus targeted aggregate-unit loss, with weighted connected-component curves, Monte Carlo intervals, and structural-hub diagnostics.

Org design, incentives & decisions Network & dependency analysis

Estimate cost of delay distribution

Translate probabilistic delivery delay into discounted contribution-value loss, permanent value decay, and governed penalties, including expected cost, tail cost, and the probability of material exposure.

Investment & portfolio choice Statistical audit & measurement

Estimate decision reversal probability

Estimate how often planned evidence would reverse the current decision under a correlated Bayesian preposterior model, while separating fragility, regret, and net information value.

Risk, tails & resilience Sequential Bayesian & bandits

Estimate delivery delay value at risk

Translate aligned portfolio completion-date draws into expected delay loss, VaR/CVaR, dependence amplification, and initiative tail attribution.

Delivery forecasting & commitments Forecasting & survival

Estimate dynamic execution factor

Extract a direction-aligned latent execution factor from aggregate metric vectors and forecast its level and velocity with a likelihood-tuned local-linear-trend state-space model.

Delivery forecasting & commitments Markov & state-space control

Estimate engineering extreme value risk

Estimate rare incident, delay, loss, or pipeline-duration return levels with peaks-over-threshold generalized-Pareto fitting, bootstrap uncertainty, and threshold-stability diagnostics.

Risk, tails & resilience Statistical audit & measurement

Estimate engineering learning curve

Estimate a team-fixed-effects power-law learning curve with work-size adjustment, cluster bootstrap uncertainty, and a defect-rate quality guardrail.

Capacity, staffing & flow Statistical audit & measurement

Estimate engineering portfolio VAR

Estimate correlated cost, schedule, success, value-decay and portfolio downside VaR/CVaR with initiative tail attribution.

Risk, tails & resilience Constrained optimization

Estimate estimate at completion distribution

Turn bottom-up component actuals and locally calibrated remaining-cost p50/p90 estimates into a correlated Gaussian-copula lognormal estimate-at-completion distribution with antithetic simulation, budget-breach probability, CVaR, correlation uplift, finite-draw error, and exactly reconciled component tail contributions.

Delivery forecasting & commitments Forecasting & survival

Estimate feature incremental value

Estimate rollout value from segment-level treated/control outcomes with beta-binomial uplift posteriors, finance-owned contribution economics, and a probability-of-positive-value gate.

Customer, revenue & pricing Causal inference & experiment design

Estimate financing dilution scenarios

Estimate financing dilution with a scenario cap-table waterfall that solves pre-money option-pool top-ups and capped or discounted convertible claims before allocating post-money ownership.

Investment & portfolio choice Statistical audit & measurement

Estimate FX exposure for engineering

Measure base-currency engineering cash-flow exposure across coherent amount and FX-rate scenarios, preserving natural netting, executable hedge payoffs and premiums, expected loss, CVaR, hedge effectiveness, and exactly reconciled currency tail contributions.

Finance & unit economics Statistical audit & measurement

Estimate lee bounds under attrition

Partially identify a randomized treatment effect under differential outcome attrition using direction-aware fractional Lee trimming and bootstrap outer bounds.

Causal evidence & experiments Causal inference & experiment design

Estimate liquidity at risk

Estimate liquidity-at-risk, tail funding need, committed-facility exhaustion probability, and residual unfunded shortfall from aligned operating paths.

Finance & unit economics Statistical audit & measurement

Estimate longitudinal policy effect MSM

Estimate repeated-intervention regime effects with stabilized inverse-probability weights, an explicit marginal structural model, cluster bootstrap uncertainty, and positivity gates.

Causal evidence & experiments Constrained optimization

Estimate marginal engineering ROI

Evaluate an ordered engineering investment curve increment by increment, stopping at the first increment that misses its marginal ROI or downside-probability hurdle.

Finance & unit economics Statistical audit & measurement

Estimate model risk reserve

Calculate an explicit model-risk reserve from the upper weighted quantile of competing approved models' CVaR loss relative to their weighted CVaR, with disagreement and model-level diagnostics.

Finance & unit economics Statistical audit & measurement

Estimate multilevel metric generalizability

Decompose aggregate management-metric variance into unit, period, and residual components, bootstrap reliability, and calculate the sampling needed for dependable comparisons.

Measurement integrity Forecasting & survival

Estimate network direct and spillover effects

Estimate direct, neighbor-spillover, and total effects under Bernoulli-randomized network interference using exact exposure probabilities and randomization inference.

Causal evidence & experiments Causal inference & experiment design

Estimate platform network option value

Value when to activate a shared platform under endogenous network adoption with an exact finite-horizon Markov dynamic program; optimize the invest/wait policy by observed adopter state, compare it with every fixed launch date and never investing, and reconcile option value, investment timing, and adoption quantiles.

Vendors, sourcing & build-vs-buy Markov & state-space control

Estimate portfolio company execution beta

Estimate company sensitivity to an external portfolio execution factor using company regressions, random-effects heterogeneity, empirical-Bayes shrinkage, uncertainty intervals, and systematic variance shares.

Investment & portfolio choice Constrained optimization

Estimate portfolio diversification benefit

Measure coherent portfolio diversification by comparing joint-scenario CVaR with standalone CVaRs and reconciling Euler tail-risk contributions, stress loss, and concentration gates.

Risk, tails & resilience Constrained optimization

Estimate pricing experiment value

Choose pricing experiment arms by posterior future contribution, conversion-harm probability, and a model-conditional perfect-information value upper bound.

Customer, revenue & pricing Sequential Bayesian & bandits

Estimate productivity rebound effect

Estimate how much aggregate capacity released by a productivity intervention is absorbed by induced output or workload using stacked matched-cohort log difference-in-differences; separate fixed-output efficiency, induced output and total resource use, audit pretrends, reconcile the log identity, and cluster-bootstrap rebound uncertainty including backfire above 100 percent.

Delivery forecasting & commitments Statistical audit & measurement

Estimate randomized causal mediation

Decompose a randomized intervention into natural direct and mediated effects with optional treatment-mediator interaction, bootstrap intervals, and total-effect reconciliation.

Causal evidence & experiments Causal inference & experiment design

Estimate real option abandonment boundary

Learn a continuous-state project abandonment policy with cross-fitted least-squares Monte Carlo, explicit salvage economics, option uplift precision, support warnings, and boundary-shape diagnostics.

Risk, tails & resilience Constrained optimization

Estimate risk contribution shapley

Allocate portfolio CVaR loss across initiatives, companies, services, or risk factors with exact subset Shapley values or disclosed sampled permutations while preserving diversification and hedge contributions.

Finance & unit economics Constrained optimization

Estimate role adjusted contribution

Estimate role-relative outcome contributions with empirical-Bayes shrinkage, uncertainty, provenance, and cohort privacy.

People, retention & knowledge Statistical audit & measurement

Estimate software reliability growth

Estimate long-run software reliability growth with a power-law nonhomogeneous Poisson process, bootstrap trend evidence, and future incident exposure.

Quality, incidents & reliability Forecasting & survival

Estimate staggered policy rollout effects

Estimate cohort-aware dynamic effects of a team-by-team policy rollout against not-yet-treated controls, with a simultaneous pretrend identification gate.

Causal evidence & experiments Causal inference & experiment design

Estimate switchback policy effect

Estimate randomized operational switchback effects with unit and period fixed effects, declared washout exclusions, distributed carryover lags, overlap enforcement, and whole-unit bootstrap uncertainty.

Causal evidence & experiments Causal inference & experiment design

Estimate synthetic control impact

Estimate intervention effects against a constrained donor-weighted counterfactual with placebo inference and donor sensitivity.

Causal evidence & experiments Statistical audit & measurement

Estimate systemic portfolio contagion

Estimate nonlinear financial distress propagation across a directed portfolio network under coherent joint shocks, separating direct from contagion loss and reporting CVaR, convergence, spectral instability, tail attribution, and finite-round loss influence.

Risk, tails & resilience Network & dependency analysis

Estimate team stochastic frontier

Estimate a Cobb-Douglas team production frontier with half-normal inefficiency, symmetric noise, conditional efficiency, and bootstrap uncertainty.

Capacity, staffing & flow Statistical audit & measurement

Estimate threshold policy effect rdd

Estimate a local sharp or fuzzy regression-discontinuity effect for threshold-assigned policies, with weak-first-stage, density-manipulation, placebo, and bootstrap diagnostics.

Causal evidence & experiments Constrained optimization

Estimate transportable intervention effect

Transport intervention effects to a target environment with similarity-weighted random-effects meta-regression, support diagnostics, and leave-one-environment-out validation.

Causal evidence & experiments Statistical audit & measurement

Estimate transportable root cause probability

Estimate how likely a mechanism actually caused an observed failure using transport-weighted Bayesian random-effects MCMC across remediation studies, posterior probability of necessity, convergence diagnostics and mandatory unmeasured-confounding sensitivity.

Quality, incidents & reliability Sequential Bayesian & bandits

Estimate value of flexibility

Value a strategy's pre-action signal-contingent flexibility against its best fixed action, including enablement cost, tail loss, and perfect-information headroom.

Causal evidence & experiments Statistical audit & measurement

Evaluate offline policy doubly robust

Estimate a proposed contextual policy's value from logged decisions using cross-fitted outcome models, doubly robust scores, paired bootstrap safety bounds, and overlap diagnostics.

Causal evidence & experiments Constrained optimization

Explain metric shift shapley

Fit a cross-validated second-order ridge response surface and decompose its reference-to-current aggregate metric shift with an efficiency-preserving Shapley allocation, bootstrap uncertainty, and an explicit unexplained residual.

People, retention & knowledge Statistical audit & measurement

Fit anchor regression shift robust model

Fit anchor regression across declared operating environments, penalizing residual variation predictable from environment anchors over a governed gamma path; choose robustness strength only on held-out worst-environment RMSE; and expose average fit, environment bias, coefficients, and leave-one-environment stability without claiming generic or causal invariance.

Measurement integrity Causal inference & experiment design

Fit cross fitted isotonic recalibrator

Repair monotone probability calibration with pool-adjacent-violators while using cross-fitting and a paired bootstrap to prove out-of-sample Brier improvement.

Measurement integrity Statistical audit & measurement

Fit honest intervention policy tree

Learn an interpretable heterogeneous intervention rule using separate structure, effect-estimation, and untouched policy-evaluation samples.

Causal evidence & experiments Constrained optimization

Fit incident hawkes process

Estimate incident aftershock dynamics with a stationary exponential Hawkes process and conditionally simulate near-term incident counts.

Quality, incidents & reliability Simulation & stress testing

Fit team behavior regime HMM

Learn persistent privacy-safe team operating regimes and transitions with a Gaussian hidden Markov model.

Org design, incentives & decisions Markov & state-space control

Forecast acquisition technology integration economics

Forecast acquisition-technology integration time, cost, stranded cost, synergy realization and economic-shortfall CVaR from pooled lognormal history, dependency paths, finite capacity and shared disruption states.

Investment & portfolio choice Forecasting & survival

Forecast agentic action loss

Forecast expected and tail operational AI-agent loss with tenant-local empirical-Bayes absorbing Markov chains across execution, deviation, containment, recovery, completion and loss, preserving shared control-failure regimes and unresolved-chain mass.

AI risk, rights & assurance Markov & state-space control

Forecast aggregate workforce capacity risk

Forecast aggregate role-capacity shortfall with a partially pooled discrete-time competing-risk model that learns cause-specific hazards from right-censored employment spells, simulates the active role portfolio, exposes unseen-role and unsupported-period extrapolation, and never produces named-person attrition scores.

People, retention & knowledge Forecasting & survival

Forecast AI capability atrophy loss

Learn how aggregate fallback capability decays with AI reliance and is preserved by unaided practice using a Bayesian right-censored transition model, then forecast ready/degraded/unavailable capacity and correlated provider-outage economic VaR/CVaR.

AI cost, routing & return Sequential Bayesian & bandits

Forecast AI code maintenance liability

Forecast the long-run maintenance liability of aggregate AI-assisted code inventory with a Bayesian Gamma-Poisson recurrent-event model, learned AI/complexity/age hazards, lognormal severity and correlated repository shock VaR/CVaR.

AI cost, routing & return Sequential Bayesian & bandits

Forecast AI configuration regression loss

Forecast material AI configuration regression, rollback-capped request exposure, excess failures, net value and economic-loss VaR/CVaR from tenant-local concurrent control/candidate evidence, partially pooled lognormal severity, coherent operating scenarios and a shared platform-regression state.

AI risk, rights & assurance Forecasting & survival

Forecast AI data rights liability

Forecast correlated AI data-rights loss, disruption and response cost with locally calibrated Beta defect priors, partially shared Gaussian-copula occurrence and severity, lognormal harm, coherent jurisdiction scenarios, controls and portfolio VaR/CVaR.

AI risk, rights & assurance Forecasting & survival

Forecast AI evaluation production validity

Forecast whether offline AI evaluation scores will remain valid in production using a tenant-pooled Bayesian logit calibration with workload effects and time drift, coherent operating scenarios, false-promotion risk, breach timing, net value and quality-shortfall VaR/CVaR.

AI risk, rights & assurance Sequential Bayesian & bandits

Forecast AI inference avoidable cost

Forecast AI inference spend and the safely avoidable portion from semantic response caching, retry prevention and batching using tenant-local empirical-Bayes rates, log-normal unit demand, shared scenarios, Shapley savings attribution and cost VaR/CVaR.

AI cost, routing & return Forecasting & survival

Forecast AI inference economics

Forecast full AI-inference cost, retry demand, terminal-failure loss, gross value and economic-loss VaR/CVaR with tenant-local Gamma-Poisson, Beta-Binomial and partially pooled lognormal models plus shared provider-outage scenarios.

AI cost, routing & return Forecasting & survival

Forecast AI knowledge staleness loss

Forecast stale and unsupported AI answers plus economic-loss VaR/CVaR by learning tenant-local knowledge-change hazards, retrieval failure and lognormal stale-loss severity, then simulating scheduled refreshes under coherent demand/change/loss scenarios and a shared index-failure state.

AI cost, routing & return Forecasting & survival

Forecast AI output IP claim liability

Forecast aggregate AI-output IP claim frequency, gross cost, defense and disruption, collectible indemnity and net VaR/CVaR using tenant-local Bayesian recurrence/severity evidence plus shared provider events and counterparty default.

AI risk, rights & assurance Sequential Bayesian & bandits

Forecast AI privacy attack loss

Forecast correlated membership-inference or reconstruction loss from tenant-local member/nonmember red-team trials using Beta posterior attack advantage, partially pooled lognormal harm, binomial subject exposure, coherent attacker regimes, common asset-group compromise, control effects and loss VaR/CVaR.

AI risk, rights & assurance Sequential Bayesian & bandits

Forecast AI regulatory change liability

Forecast counsel-defined regulatory-change frequency, lognormal remediation work and cost, capacity queues, shared jurisdiction shocks, enforcement exposure and liability CVaR.

AI risk, rights & assurance Forecasting & survival

Forecast AI route quality cost drift

Forecast route-level quality, inference cost, p95 latency, breach timing, net value and economic-loss VaR/CVaR with partially pooled Bayesian trends and one common disruption state shared across every route on the same provider.

AI cost, routing & return Sequential Bayesian & bandits

Forecast AI workflow execution economics

Forecast multi-step AI workflow demand, retry and loop depth, success, p95 latency, full cost, failure loss and net business value with tenant-local empirical Bayes, log-normal attempt economics, shared operating scenarios and common-control failure VaR/CVaR.

AI cost, routing & return Forecasting & survival

Forecast alert fatigue and missed risk loss

Forecast alert storms, duplicate notifications, aggregate attention-state saturation, missed material conditions, interruption cost and financial VaR/CVaR with a Markov-modulated Gamma-Poisson and compound log-normal model.

Quality, incidents & reliability Markov & state-space control

Forecast analytics calibration survival

Forecast how long each locally calibrated analytical function remains decision-safe using right-censored calibration episodes, a discrete empirical-Bayes failure hazard, conditional survival from current calibration age, posterior uncertainty and explicit endpoint-support gates.

Analytics assurance & orchestration Sequential Bayesian & bandits

Forecast cash burn uncertainty

Forecast aligned cash paths into reserve-breach probability by period, ending-cash uncertainty, first breach timing, and rescue capital required to restore the governed minimum reserve.

Finance & unit economics Forecasting & survival

Forecast change adoption bass diffusion

Forecast aggregate organizational change or tool adoption with a Bayesian Bass diffusion model learned from reconciled historical cohorts, jointly estimating spontaneous innovation and imitation, simulating posterior uptake under per-cohort enablement capacity, pricing enabled value, exposing grid-boundary misspecification, and gating a target adoption probability.

Measurement integrity Sequential Bayesian & bandits

Forecast CI feedback loop economics

Forecast company-local CI feedback delay, compute spend, terminal failure and governed post-release escape loss with hierarchical Dirichlet/Beta outcomes, log-normal feedback, runner-queue amplification, coherent common shocks and strict latest-period validation against global baselines.

Quality, incidents & reliability Forecasting & survival

Forecast cloud cost commitment exposure

Forecast cloud commitment waste, uncovered on-demand cost, savings distribution, probability of negative savings, and CVaR loss over aligned demand paths.

Finance & unit economics Forecasting & survival

Forecast contract delivery and liability

Forecast remaining commercial-commitment delivery time, on-time probability, contractual penalties, acceptance cash and liquidity from a right-censored empirical-Bayes lognormal duration model, conditioning each live promise on its age and refusing sparse or unverified classes.

Delivery forecasting & commitments Forecasting & survival

Forecast correlated milestone slippage

Forecast joint portfolio milestone slippage from complete historical episode-by-category planned/actual duration ratios: fit log-error marginals and a positive-definite shrinkage Gaussian copula, mix shared and idiosyncratic shocks, propagate durations through the current dependency DAG, and report joint confidence, finish distributions, and tail value at risk.

Delivery forecasting & commitments Forecasting & survival

Forecast cross border data restriction loss

Forecast migration, operating, contract and common jurisdiction loss from counsel-defined cross-border data restrictions with a Gamma-Poisson event model, pooled log-normal duration/cost and coherent tail scenarios.

Security, access & compliance Forecasting & survival

Forecast customer facing service interruption loss

Forecast customer-facing outage frequency, duration, SLA credits, interrupted revenue, churn exposure and total financial VaR/CVaR using local zero-inclusive service history, compound log-normal severity and coherent shared-dependency events.

Risk, tails & resilience Forecasting & survival

Forecast customer lifetime value uncertainty

Forecast prospective customer lifetime value by jointly propagating beta-binomial retention uncertainty and lognormal contribution-margin parameter uncertainty through discounted cohort economics.

Customer, revenue & pricing Forecasting & survival

Forecast cyber control failure loss

Forecast expected and tail cyber loss with locally pooled threat frequency, control reliability and lognormal loss severity, drawing one shared control state across every path it protects to preserve common-mode failure.

Security, access & compliance Forecasting & survival

Forecast delivery to cash conversion

Forecast how delivery-ready, accepted and invoiced value converts to collected cash and minimum liquidity from complete right-censored stage episodes, empirical-Bayes cohort/age hazards and coherent shared scenarios, while refusing unsupported stages or unverified evidence.

Finance & unit economics Forecasting & survival

Forecast dependency adjusted consensus

Combine independently sealed human and model forecasts while learning context base rates and source reliability on earlier questions, discounting empirical and declared information dependence, and abstaining unless later questions beat both base rates and naive consensus.

Analytics assurance & orchestration Forecasting & survival

Forecast engineering investment benefit realization

Forecast whether an engineering-investment portfolio will realize finance-defined benefits within a decision horizon using a partially pooled Bayesian hurdle/lognormal model for zero-benefit risk, positive benefit multiples, and realization lag; correlated organization shocks; discounting; NPV/ROI gates; and explicit unseen-category fallback.

Measurement integrity Sequential Bayesian & bandits

Forecast executive technology commitment credibility

Recalibrate executive technology commitments with class-local isotonic Beta posteriors, then simulate correlated on-time outcomes, conditional lognormal delay, value erosion and financial-shortfall VaR/CVaR.

Org design, incentives & decisions Sequential Bayesian & bandits

Forecast feature adoption revenue

Forecast feature adoption, revenue, and contribution with a grouped discrete-time hazard model trained on reconciled censored cohorts, required to beat a pooled-hazard baseline on later cohorts before posterior and capacity-constrained forecasts are decision-safe.

Capacity, staffing & flow Sequential Bayesian & bandits

Forecast focus fragmentation delivery economics

Forecast current-task completion and delay-cost tails with a company-local ridge log-normal accelerated-failure-time model that uses attention covariates only after beating a global model on the latest whole period.

People, retention & knowledge Forecasting & survival

Forecast fundraising close and runway

Forecast whether enough primary capital closes before runway pressure by fitting empirical-Bayes age-state competing-risk hazards to advanced, closed, lost and right-censored stage episodes, then simulating every live opportunity under one common market scenario and an explicit burn-before-close cash convention.

Investment & portfolio choice Forecasting & survival

Forecast governed attrition competing risks

Forecast voluntary departure, internal transfer and involuntary exit as calibrated discrete-time competing risks with company-local chronological validation, peer partial pooling, posterior intervals and an automatic abstention when the model does not beat role base rates.

People, retention & knowledge Sequential Bayesian & bandits

Forecast governed release competing risks

Forecast company-local rollback, hotfix and incident incidence conditional on deployment with inverse-propensity-corrected discrete-time competing risks, strict whole-release chronological validation, posterior intervals and mandatory improvement over both a simple baseline and the legacy PR score.

Delivery forecasting & commitments Sequential Bayesian & bandits

Forecast growth channel response saturation

Learn organization-specific channel saturation from resolved aggregate incrementality estimates: fit a likelihood-weighted Bayesian grid of Hill response curves, reserve the newest periods for honest validation against a linear baseline, expose posterior boundary misspecification and evidence failures, and return contribution and marginal-return distributions for proposed spend levels.

Causal evidence & experiments Sequential Bayesian & bandits

Forecast hiring ramp capacity

Forecast an aggregate hiring plan with a locally calibrated hierarchical lognormal ramp-time model, Weibull productivity curves, correlated organization shocks, mentor-load displacement, commitment risk, and discounted capacity economics.

People, retention & knowledge Forecasting & survival

Forecast incident learning debt economics

Forecast how much corrective-action debt will remain open and what recurrent incident and operating loss it may create using hierarchical closure, recurrence and severity models that must beat global baselines on the latest whole period.

Quality, incidents & reliability Forecasting & survival

Forecast infrastructure cost elasticity

Select a continuous piecewise log-log infrastructure cost response on an internal future block, refit before an untouched chronological holdout, validate against constant unit cost and interval coverage, then forecast price-index-restored cost across coherent workload scenarios.

Finance & unit economics Forecasting & survival

Forecast intervention effect half life

Learn how quickly a governed intervention's effect decays across resolved cohorts using a shared exponential half-life, cohort-specific amplitudes, a persistent floor, reported standard errors, and a profiled Bayesian grid; then forecast effect/value paths and when each current intervention is likely to fall below a practical threshold.

Measurement integrity Sequential Bayesian & bandits

Forecast joint engineering outcome distribution

Learn a company-local partially pooled discrete Bayesian network from complete mature observations, validate it strictly out of time against an independent baseline, and answer coherent conditional joint engineering-outcome queries with exact inference and Dirichlet posterior intervals.

Causal evidence & experiments Sequential Bayesian & bandits

Forecast knowledge continuity semimarkov

Forecast critical code-knowledge continuity with a company-local hierarchical Bayesian semi-Markov model whose state-exit hazard depends on time already resilient, concentrated, orphaned or recovering; require a strict latest-period holdout improvement over persistence, simulate coherent common shocks, and expose orphaning, delay, recovery-cost and portfolio VaR/CVaR without predicting named departures.

People, retention & knowledge Sequential Bayesian & bandits

Forecast onboarding time to autonomy economics

Forecast remaining time-to-autonomy and delay-cost tails with a company-local right-censored, partially pooled log-normal AFT model that must beat a global baseline on the latest whole cohort.

People, retention & knowledge Forecasting & survival

Forecast operational recovery half life

Forecast how quickly operational performance recovers after incidents, migrations, reorganizations, outages, or other shocks: estimate each resolved shock's exponential remaining-loss half-life, retain stalled trajectories at a governed cap, partially pool log half-lives by severity, and simulate current recovery confidence plus cumulative value loss.

Org design, incentives & decisions Forecasting & survival

Forecast org health operating loss

Prove whether the company-local organization-health score leads later delivery, reliability and capacity losses, then simulate their correlated economic tail only after a latest-whole-period baseline challenge passes.

People, retention & knowledge Forecasting & survival

Forecast organizational change load capacity

Forecast whether the organization's planned portfolio of migrations, launches, reorganizations, policy changes, and platform transitions exceeds aggregate operating capacity: select a saturating distributed-lag change-load model on pretest history, beat an autoregressive baseline on later periods, then simulate peak strain and limit-breach probability.

Risk, tails & resilience Forecasting & survival

Forecast organizational change second order effects

Forecast the incremental capacity, review, knowledge, quality, backlog, recovery and financial distribution of a submitted departure, hire, restructure, reassignment, PTO, AI rollout, framework migration or contractor scenario using company-local completed episodes and a dependency DAG.

Org design, incentives & decisions Causal inference & experiment design

Forecast privileged identity exposure loss

Forecast aggregate privileged-identity compromise frequency and financial tail loss with separate Gamma-Poisson security states, locally pooled log-normal severity and one coherently simulated common identity-provider event.

Security, access & compliance Forecasting & survival

Forecast receivables collection and liquidity

Forecast cash collection, disputes, defaults and minimum liquidity from right-censored receivable histories: fit empirical-Bayes categorical transition probabilities by lawful aggregate risk class, state and age; retain censored exposure; simulate every current aggregate receivable under shared market/cash scenarios; and abstain on unsupported states, unverified evidence or inadequate liquidity probability.

Finance & unit economics Forecasting & survival

Forecast recurring revenue regimes

Fit a diagonal-Gaussian hidden Markov model to consecutive organic ARR growth, GRR, gross margin and cash-burn intensity, order latent regimes by growth rather than arbitrary labels, test effective regime support and improvement over a single-state model, then simulate ARR and unrestricted cash through fitted transitions, within-regime variation and coherent common market scenarios.

Customer, revenue & pricing Markov & state-space control

Forecast shadow AI unseen exposure loss

Estimate AI services missed by every detector with a Bayesian zero-truncated binomial capture–recapture model, then simulate scenario-dependent visibility, incidents, common provider exposure, usage, value disruption and lognormal loss to produce unseen-inventory and economic VaR/CVaR tails.

AI risk, rights & assurance Sequential Bayesian & bandits

Forecast software supply chain loss

Forecast aggregate software supply-chain loss with tenant-calibrated empirical-Bayes Gamma-Poisson incident frequencies, partially pooled lognormal loss marks, common frequency/severity/business scenarios, and multiplicative unique-application disruption paths; unsupported risk classes make the output diagnostic-only.

Security, access & compliance Forecasting & survival

Forecast support cost to serve

Forecast future support cost and budget-breach probability with a chronological held-out lognormal regression on accounts, supported products, and ticket load.

Finance & unit economics Forecasting & survival

Forecast technical asset obsolescence

Forecast product retirement, technical obsolescence, security/compliance retirement and vendor/platform end as competing technical-asset risks using complete right-censored lifecycle episodes, age-specific empirical-Bayes Dirichlet hazards, coherent common scenarios and current-age simulation of stranded carrying value plus foregone contribution.

Finance & unit economics Forecasting & survival

Forecast vendor spend at risk

Forecast correlated vendor spend with lognormal marginals, a Gaussian copula, contractual floors and caps, budget-overrun uncertainty, total-spend CVaR, and reconciled vendor tail contributions.

Vendors, sourcing & build-vs-buy Forecasting & survival

Forecast workflow absorption semimarkov

Forecast terminal workflow outcomes and remaining time from Bayesian transition and lognormal dwell-time posteriors over status histories.

Delivery forecasting & commitments Sequential Bayesian & bandits

Infer competing root cause posterior

Rank competing, compound and unknown root mechanisms from company-local resolved incidents using partially pooled Dirichlet-Beta learning, strict temporal holdout scoring, reliability-tempered signals and posterior uncertainty rather than a single brittle traceback winner.

Quality, incidents & reliability Sequential Bayesian & bandits

Infer revealed policy preferences maxent irl

Infer aggregate linear state-feature rewards and their implied stochastic policy from sequential demonstrations using finite-horizon maximum-causal-entropy inverse reinforcement learning.

Causal evidence & experiments Causal inference & experiment design

Infer stability selected temporal metric graph

Infer a compact aggregate temporal dependency graph with a chronologically held-out ridge VAR, moving-block coefficient bootstrap, practical-effect stability selection, and false-discovery control.

Risk, tails & resilience Network & dependency analysis

MCMC project completion forecast

Forecast live task and project completion with a censored Bayesian lognormal model, MCMC uncertainty, dependencies, and finite parallelism.

Delivery forecasting & commitments Sequential Bayesian & bandits

Measure decision policy realized value

Measure candidate-versus-baseline realized net value from logged decisions with cross-fitted doubly robust policy scores, full action propensities, cluster bootstrap, importance-weight clipping, positivity mass, effective sample size, logging-policy calibration and cumulative value—so Gitrevio can substantiate decision ROI without relabeling correlation as impact.

Analytics assurance & orchestration Constrained optimization

Monitor forecast calibration eprocess

Continuously monitor binary forecasts for calibration drift with an anytime-valid mixture e-process that does not incur a repeated-peeking penalty.

Measurement integrity Sequential Bayesian & bandits

Monitor sequential intervention experiment

Monitor cumulative binary intervention outcomes with beta-binomial posteriors, Bayes factors, expected regret, and preregistered success, harm, or futility stopping.

Causal evidence & experiments Sequential Bayesian & bandits

Optimize adaptive analytics plan

Choose an exact adaptive sequence of analyses and an outcome-contingent terminal action by Bayesian belief-state dynamic programming, allowing early stopping while enforcing cost, duration, dependency, exclusion and analysis-step constraints and measuring value over the best fixed analysis sequence.

Analytics assurance & orchestration Sequential Bayesian & bandits

Optimize agentic autonomy portfolio

Choose one manual, approval-required, bounded-autonomous or autonomous operating mode per action class, maximizing scenario net value under hard authorization/reversibility controls, shared-asset loss, reviewer capacity, cost, availability, dependencies and CVaR.

AI risk, rights & assurance Constrained optimization

Optimize AI capability resilience portfolio

Choose unaided drills, work rotations, cross-training, dual running, fallback redesign or monitoring per aggregate capability class using exact binomial shortfall, common-provider unique loss, hard readiness/control/capacity gates and a CVaR Pareto frontier.

AI cost, routing & return Constrained optimization

Optimize AI code assurance portfolio

Choose standard, expert, pair, property, formal or canary assurance per aggregate AI-code change stratum using Beta-binomial defect simulation, unique shared-component loss, hard controls/resources and a CVaR Pareto frontier.

AI cost, routing & return Constrained optimization

Optimize AI compliance control portfolio

Select reusable AI compliance controls and one plan per obligation using Beta-binomial residual risk, shared jurisdiction loss, exact shared costs/resources and a CVaR Pareto frontier.

AI risk, rights & assurance Constrained optimization

Optimize AI configuration rollout portfolio

Select one current or staged rollout plan per AI configuration release, maximizing expected value minus CVaR regret under hard controls, failure ceilings, application concurrency, dependencies, budget and shared resources while computing overlapping application blast-radius loss once from joint survival.

AI risk, rights & assurance Causal inference & experiment design

Optimize AI data rights remediation portfolio

Choose license, replace, delete, disable or retrain actions that maximize preserved risk-adjusted AI value under budget, legal/execution gates, dependencies and scarce resources, while pricing scenario CVaR and counting shared lineage contamination once at its weakest residual member.

AI risk, rights & assurance Constrained optimization

Optimize AI evaluation value of information portfolio

Select additional AI evaluation plans by multi-stratum posterior-predictive value of sample information, discounting duplicate content and optimizing budget, reviewer capacity, delay, quality lower bounds and expected/CVaR incremental false-deployment loss with exact or disclosed beam search.

AI risk, rights & assurance Sequential Bayesian & bandits

Optimize AI inference efficiency portfolio

Choose one governed AI inference efficiency design per workload across semantic caching, retry prevention, batching and unit reduction, maximizing risk-adjusted economic value under quality, latency, scenario availability, shared capacity, dependency, budget and CVaR-regret constraints.

AI cost, routing & return Constrained optimization

Optimize AI knowledge refresh portfolio

Select one governed periodic refresh policy per unique knowledge source across every dependent AI application, using renewal-theory freshness, shared-source economics, hard access/control/grounding/loss/resource gates and expected plus CVaR scenario regret.

AI cost, routing & return Constrained optimization

Optimize AI model routing portfolio

Choose one evidenced AI-model route per workload on a value/CVaR Pareto frontier under hard privacy, residency, retention, quality, latency, endpoint-capacity, route-availability, provider-diversity, concentration, budget and dependency constraints.

AI cost, routing & return Constrained optimization

Optimize AI output IP risk portfolio

Choose keep, scan, license, redesign, replace, exclude or insure policies per aggregate AI-output class using Beta-binomial claim simulation, collectible indemnity, unique provider loss, hard controls/resources and a CVaR Pareto frontier.

AI risk, rights & assurance Constrained optimization

Optimize AI privacy utility portfolio

Select one validated privacy mechanism per AI workload to maximize expected value minus privacy-loss CVaR while enforcing exact shared-account RDP composition, utility, latency, controls, dependencies, exclusions, budget and scarce privacy-engineering capacity, with shared compromise priced once.

AI risk, rights & assurance Constrained optimization

Optimize AI workflow design portfolio

Select one governed AI workflow graph per use case, maximizing risk-adjusted business value under hard control, success, latency and scenario-availability gates plus shared model/tool/review capacity, dependencies, implementation budget and economic-regret CVaR.

AI cost, routing & return Network & dependency analysis

Optimize alert decision threshold

Choose a cost-sensitive alert action threshold using cross-validated decision curves and bootstrap net-benefit evidence against constant policies.

Measurement integrity Constrained optimization

Optimize analytics challenger portfolio

Optimize a budgeted portfolio of complementary analytical challengers over coherent common-mode failure scenarios, residual losses, stochastic review demand, dependencies, exclusions and tail-risk appetite, with exact subset enumeration or a disclosed dependency-closed greedy fallback.

Analytics assurance & orchestration Constrained optimization

Optimize attention aware alerting portfolio

Choose one governed alert policy per risk class with Erlang-C response queues and Monte Carlo risk, maximizing protected value net of missed/common loss, false-alert interruption, operating cost and CVaR under hard evidence, quality, response, budget, relation and capacity constraints.

Quality, incidents & reliability Constrained optimization

Optimize board technology attention portfolio

Select a board technology-attention portfolio under agenda time, assurance budget, resource, mandatory-review, dependency and residual-risk gates while pricing Beta-binomial failures, shared strategic loss and CVaR.

Org design, incentives & decisions Constrained optimization

Optimize budgeted initiative portfolio

Select the highest expected-value initiative portfolio under cash and multi-resource budgets while enforcing dependencies and mutual exclusions across aligned business scenarios.

Investment & portfolio choice Constrained optimization

Optimize calibration experiment portfolio

Choose which analytical functions to calibrate next with exact Beta-binomial posterior-predictive value of sample information, result-contingent activation thresholds, false-activation loss, experiment budget/capacity, dependencies, exclusions and exact-or-disclosed portfolio search.

Analytics assurance & orchestration Sequential Bayesian & bandits

Optimize capability transition network

Plan training and hiring as integral capacity flows through a time-expanded skill network, maximizing multi-period demand value net of transition cost and lead time.

Capacity, staffing & flow Network & dependency analysis

Optimize carbon cost performance portfolio

Construct a dependency-, exclusion-, budget-, and capacity-feasible portfolio frontier across investment, expected and CVaR total cost including scenario carbon price, residual emissions, and performance capacity, with explicit interactions and exact-or-disclosed heuristic search.

Finance & unit economics Constrained optimization

Optimize causal release assurance portfolio

Select one release, assurance or hold option per change from prospectively identified Beta-binomial relative-risk effects while pricing delay, failure and shared common-mode loss under budget, scarce resources, mandatory controls, expected-failure and CVaR constraints with an exact or disclosed beam-search Pareto frontier.

Delivery forecasting & commitments Causal inference & experiment design

Optimize CI assurance portfolio

Choose one baseline, cache, shard, test-selection, flaky-repair, mutation, integration-suite or runner-scale option per assurance unit using only prospective randomized/known-propensity fault-detection and feedback evidence, common random scenarios, controls, relations, budget, implementation and runner capacity, undetected-fault, latency and CVaR gates.

Quality, incidents & reliability Causal inference & experiment design

Optimize cloud reserved capacity

Choose an integer portfolio of dated cloud reservations across coherent demand, realization, spot, and on-demand scenarios; price unused commitment and unserved demand explicitly, enforce coverage and capital gates, optimize expected-plus-CVaR cost, and disclose exact versus deterministic supported-set search.

Finance & unit economics Constrained optimization

Optimize commercial commitment portfolio

Select decline or one executable contract-term package per commercial opportunity under common delivery scenarios, period capacity, delivery budget, expected penalty, acceptance-cash, liquidity and CVaR gates; value acceptance and relationship economics and disclose exact or uncertified beam search.

Delivery forecasting & commitments Constrained optimization

Optimize commercial resilience portfolio

Select a budgeted, capacity-feasible technical resilience portfolio directly on a deduplicated commercial exposure graph, combining simultaneous failures and multiple mitigations multiplicatively, enforcing CVaR and critical-loss gates, returning a cost-loss-tail Pareto frontier, and disclosing exact or deterministic beam search.

Risk, tails & resilience Network & dependency analysis

Optimize contingent technology financing policy

Optimize initial and observed-signal-contingent financing, restructuring or investment-response actions on a coherent cash/debt/EBITDA scenario tree; enforce nonanticipativity, dependencies, exclusions, node budgets/capacity, liquidity and leverage chance constraints, tail funding need, enterprise value and exact-or-disclosed beam search.

Finance & unit economics Constrained optimization

Optimize correlated experiment sequence

Sequence pure-learning experiments over correlated intervention effects using conjugate Gaussian updates, Gauss-Hermite lookahead, early stopping, and terminal deployment value.

Causal evidence & experiments Constrained optimization

Optimize cyber control portfolio

Find a budget-, capacity-, availability- and defense-depth-feasible cyber-control portfolio on a nonlinear attack-path graph, recomputing unique-asset expected loss and CVaR under dependencies, exclusions and multiplicative effects.

Security, access & compliance Network & dependency analysis

Optimize deadline recovery plan

Choose a budget-feasible deadline recovery plan over a dependency DAG using correlated triangular task durations, uncertain acceleration effects, common random numbers, probability-gain-per-cost search, and backward pruning.

Risk, tails & resilience Constrained optimization

Optimize decision authority queue policy

Optimize delegation and escalation by assigning one eligible authority option to each decision class while internalizing nonlinear Erlang-C waiting externalities across shared reviewer pools, wrong-decision and escalation loss, coherent demand scenarios, operating cost, utilization-breach probability and CVaR.

Org design, incentives & decisions Constrained optimization

Optimize decision calendar

Schedule dependent strategic decisions as information arrives, balancing contingent action value, delay cost, portfolio tail risk, deadlines, precedence, and scarce decision capacity.

Investment & portfolio choice Constrained optimization

Optimize delivery to cash intervention policy

Choose at most one evidence-backed intervention for each aggregate delivery-ready, accepted or invoiced milestone segment; propagate sequential stage mass under shared scenarios and maximize expected collected-cash net value minus CVaR subject to budget, capacity, liquidity and cash-target gates, with exact or explicitly uncertified beam search.

Finance & unit economics Constrained optimization

Optimize discount policy

Optimize one aggregate discount option per commercial segment against scenario purchase, retention, service-cost and contribution economics; enforce expected discount spend, delivery capacity, cross-segment rate-gap and downside gates, compare with an explicit zero-discount baseline, and disclose exact or heuristic search.

Customer, revenue & pricing Constrained optimization

Optimize distributionally robust action

Choose the action with the best worst-case expected value when scenario probabilities may vary inside a KL-divergence ambiguity set.

Risk, tails & resilience Constrained optimization

Optimize engineering observability portfolio

Exactly select the budget-feasible metric and integration subset maximizing multivariate Gaussian information, then require held-out information retention with bootstrap uncertainty.

Quality, incidents & reliability Constrained optimization

Optimize enterprise technology capital plan

Optimize a two-stage enterprise technology portfolio that commits initial capital now and allocates follow-on capital only after observable signals; enforce non-anticipativity, dependencies, exclusions, signal-specific budget/capacity and eligibility, compare with the best one-shot portfolio, quantify option value and CVaR loss, and disclose solver certainty.

Finance & unit economics Constrained optimization

Optimize error budget portfolio

Choose dependency-safe reliability interventions under money and capacity constraints using posterior SLO-breach economics.

Quality, incidents & reliability Sequential Bayesian & bandits

Optimize financing terms nash bargaining

Select financing terms through exact risk-adjusted Pareto and weighted Nash bargaining: evaluate full-cost founder and new-investor payoffs on identical exit scenarios, convert lower-tail payout into transparent certainty adjustments, enforce company cash, founder control, investor return, downside, evidence and individual-rationality constraints, remove dominated terms and maximize the weighted log product of surplus above governed disagreement values.

Investment & portfolio choice Constrained optimization

Optimize finops commitment portfolio distributionally robust

Select a complete FinOps commitment portfolio that minimizes worst-case expected cost when scenario probabilities may move within a governed total-variation ambiguity radius.

Finance & unit economics Constrained optimization

Optimize focus coordination policy portfolio

Choose aggregate async, meeting-batching, protected-focus or coordination policies using prospectively identified effects shrunk by design reliability, common scenarios, unique shared loss, Pareto search and hard budget, capacity, response, focus, timezone and CVaR gates.

People, retention & knowledge Forecasting & survival

Optimize forecast elicitation portfolio

Choose which independent human or model forecasts to obtain next by learning chronologically validated contextual directional skill, simulating conservative entropy reduction, pricing decision relevance and removing duplicated information under budget and source-capacity constraints.

Analytics assurance & orchestration Forecasting & survival

Optimize fundraising attention policy

Allocate the current fundraising attention epoch with age-aware controlled Markov arm values and an exact multiple-choice capacity knapsack: compare action versus passive continuation through later stages, price founder distraction and action cost, expose a dynamic attention index, and disclose that independently relaxed future capacity is not a globally certified multi-period schedule.

Investment & portfolio choice Markov & state-space control

Optimize global review assignment

Assign an entire review portfolio globally under expertise, conflict, capacity, urgency, quality, independence, and load-balance constraints.

Capacity, staffing & flow Constrained optimization

Optimize identity assurance response portfolio

Choose one preauthorized identity-assurance response per aggregate account-risk case by maximizing simulated net access value minus security, false-positive, operating and CVaR costs under budget, capacity, control, availability and due-process constraints.

Security, access & compliance Sequential Bayesian & bandits

Optimize incident learning portfolio

Choose immediate remediation or a predeclared experiment-contingent action for each failure mode using Bayesian value of information, prospective test accuracy and causal remediation effects, common scenarios, shared-loss accounting, Pareto search and hard cost, capacity and tail-risk gates.

Quality, incidents & reliability Causal inference & experiment design

Optimize insurance retention

Select an insurance retention and limit by minimizing premium plus expected retained loss and a configurable CVaR tail-risk charge under an optional tail-cost constraint.

Finance & unit economics Constrained optimization

Optimize knowledge resilience portfolio

Choose one baseline, cross-training, paired-review, rotation, documentation or backup-owner posture per critical knowledge unit using prospectively identified transport-weighted Beta-binomial relative-failure effects, contributor-availability and common-loss scenarios, exact or disclosed beam search, mentor/learner capacity, budget, expected-failure, CVaR and Pareto constraints.

People, retention & knowledge Constrained optimization

Optimize learning vs earning allocation

Solve the exact finite-horizon Beta–Bernoulli bandit for allocating scarce units between a known earning baseline and uncertain actions that earn and update their posterior.

Delivery forecasting & commitments Sequential Bayesian & bandits

Optimize license seat portfolio

Choose integer license packs across aggregate seat pools under coherent demand, on-demand price and capacity scenarios; explicitly price unused and unserved seats, enforce budget, coverage and CVaR gates, and disclose exact versus deterministic supported-set search.

Customer, revenue & pricing Constrained optimization

Optimize model averaged joint outcome decision

Choose a governed aggregate engineering action across competing plausible Bayesian-network structures using pseudo-Bayesian out-of-time model weights, coherent joint outcome worlds, causal-identification mass, weighted CVaR, worst-model regret, decision stability and the expected value of resolving model uncertainty.

Causal evidence & experiments Causal inference & experiment design

Optimize multi period calibration maintenance

Optimize a finite-horizon analytics maintenance schedule by propagating each function's healthy/degraded Markov belief under passive operation or recalibration, valuing healthy decisions and uncalibrated loss, enforcing period cash and specialist-capacity constraints, and disclosing exact state enumeration versus deterministic beam search.

Analytics assurance & orchestration Markov & state-space control

Optimize multi period capital allocation

Allocate indivisible project funding schedules across every period budget while respecting dependencies, exclusions, uncertain terminal value, discounting, and a retain-capital baseline.

Investment & portfolio choice Constrained optimization

Optimize multi period growth budget saturation

Allocate aggregate growth capital across channels and periods on coherent common scenarios while preserving channel-specific Hill saturation and carryover state: search discrete spend schedules, propagate contribution and unrestricted cash, and maximize expected net incremental value minus CVaR shortfall subject to total/period budgets, liquidity and contribution-probability gates, with exact certification or disclosed deterministic beam search.

Causal evidence & experiments Constrained optimization

Optimize onboarding mentorship portfolio

Choose an interference-aware mentorship portfolio using only prospective controlled effects, reliability shrinkage, common autonomy scenarios, unique shared loss, mentor capacity, service gates, CVaR and exact-or-disclosed beam search.

People, retention & knowledge Forecasting & survival

Optimize org health intervention portfolio

Select an anti-Goodhart intervention portfolio using conservative causal lower bounds on real operating loss, never score movement, with design/transport/fidelity shrinkage, negative controls, interference, shared-loss, equity, resource and CVaR constraints.

People, retention & knowledge Causal inference & experiment design

Optimize organizational change mitigation portfolio

Choose a dependency-safe portfolio of documentation, cross-training, review redistribution, onboarding, staffing buffers, staged rollout, rollback or migration-support mitigations that minimizes change loss under nonlinear overlap, common risk, budget, scarce skills, recovery deadlines and CVaR.

Org design, incentives & decisions Causal inference & experiment design

Optimize post merger technology integration portfolio

Choose retain, bridge, migrate, integrate or retire for every target capability while pricing delayed synergy, retained standalone value, Beta-binomial failures, unique platform loss, resources, budget and CVaR.

Investment & portfolio choice Constrained optimization

Optimize preventive maintenance policy

Optimize preventive replacement or refactoring intervals with Bayesian-scenario Weibull renewal-reward economics and a worst-case cost penalty.

Quality, incidents & reliability Sequential Bayesian & bandits

Optimize probabilistic roadmap commitment

Select the highest-value dependency-safe roadmap that satisfies a joint capacity commitment probability and optional tail-overtime limit.

Delivery forecasting & commitments Constrained optimization

Optimize product mix

Optimize one discrete quantity option per product across a shared cash budget and multiple capacity pools using aligned contribution scenarios, expected value, CVaR downside, and an explicit exact or heuristic solver boundary.

Investment & portfolio choice Constrained optimization

Optimize queue staffing SLA

Invert an Erlang-C queue across weighted demand scenarios to find the lowest expected-cost staffing level that satisfies a wait-time SLA.

Capacity, staffing & flow Constrained optimization

Optimize queueing network capacity

Choose minimum-cost integer capacity additions across a routed open queueing network using traffic equations, M/M/c waits, and exact budget dynamic programming.

Capacity, staffing & flow Network & dependency analysis

Optimize receivables intervention policy

Choose at most one evidence-backed action for each lawful aggregate receivable segment, propagate open/disputed payment and default mass period by period on coherent market/cash scenarios, and maximize expected collected-cash net value minus CVaR shortfall subject to intervention budget, capacity, relationship loss, liquidity and collection-probability gates, using exact enumeration or disclosed deterministic beam search.

Finance & unit economics Constrained optimization

Optimize regime contingent growth capital policy

Choose one action for each observable recurring-revenue regime and reuse it on every matching future, charging unique commitment resources once; evaluate every policy on coherent regime paths with multiplicative ARR, cash-burn and full action cost, then maximize expected terminal ARR value plus cash minus CVaR shortfall subject to liquidity, target-ARR, dependencies, exclusions, budget and capacity.

Customer, revenue & pricing Constrained optimization

Optimize reliability investment frontier

Construct a dependency- and exclusion-feasible Pareto frontier across investment cost, expected residual loss, CVaR loss, and expected downtime under coherent scenarios and explicit pair interactions, then select the least-cost evaluated portfolio clearing governed reliability targets.

Delivery forecasting & commitments Forecasting & survival

Optimize reserve follow on allocation

Solve a two-stage follow-on capital problem: choose how much reserve to hold now, then choose at most one funding tier per company conditional only on the signal partition genuinely observable later, with coherent scenario value, opportunity cost, CVaR, a reserve Pareto frontier, value of available information, and exact-or-disclosed supported-policy search.

Delivery forecasting & commitments Constrained optimization

Optimize retention interventions by principal strata

Estimate who an optional retention intervention can actually help—not merely who looks likely to leave—from randomized principal strata, then allocate scarce capacity by conservative net value under harmed-stratum sensitivity, budget and fairness constraints.

People, retention & knowledge Causal inference & experiment design

Optimize risk adjusted technology portfolio

Choose a dependency- and exclusion-feasible technology investment portfolio on an expected-value, cost, shared-loss CVaR and economic-capital frontier, maximizing net value after a finance-owned capital charge while enforcing budget, capital, tail-loss and RAROC hurdles with exact or disclosed beam search.

Risk, tails & resilience Constrained optimization

Optimize risk mitigation portfolio

Select a dependency- and exclusion-feasible mitigation portfolio that maximizes expected net loss avoided within budget and an optional residual-CVaR ceiling.

Investment & portfolio choice Constrained optimization

Optimize roadmap real options

Optimize continue, defer, abandon and expand decisions across staged initiatives using Bellman recursion and current capital rationing.

Investment & portfolio choice Constrained optimization

Optimize roadmap under resource substitution

Choose a value-maximizing roadmap and one explicitly validated native or substitute resource plan per initiative within all capability capacities.

Delivery forecasting & commitments Constrained optimization

Optimize robust intervention portfolio

Choose a dependency-safe action portfolio that balances expected and worst-case outcomes.

Risk, tails & resilience Constrained optimization

Optimize safe AI routing exploration portfolio

Allocate bounded production traffic to one safe challenger per AI workload by posterior-predictive knowledge gradient, maximizing net learning value under local quality/harm evidence, privacy, latency, provider diversity, shared endpoint capacity, exploration budget, provider concentration and regret CVaR constraints.

AI cost, routing & return Sequential Bayesian & bandits

Optimize sample size by decision value

Choose a two-arm experiment sample size by Bayesian expected value of sample information after implementation economics, sampling cost, posterior adoption and harm gates, regret, and Monte Carlo recommendation precision.

Finance & unit economics Sequential Bayesian & bandits

Optimize selective human AI review policy

Choose one eligible automation or human-review policy per decision segment using a coherent-scenario multi-choice stochastic program over residual loss, complete cost and review hours; enforce complementarity evidence, scenario capacity-breach probability and residual-loss CVaR with exact enumeration or disclosed beam search.

AI cost, routing & return Constrained optimization

Optimize sequence dependent roadmap

Optimize a dependency-feasible roadmap sequence under category setup time, execution duration and cost, aligned uncertain value, and exponential value decay, with bounded exact enumeration and visible heuristic fallback.

Capacity, staffing & flow Constrained optimization

Optimize service continuity investment portfolio

Choose one production-exercised continuity posture per service-risk unit by maximizing retained business value minus direct/common interruption loss, full cost and CVaR under RTO, RPO, residual-risk, control, dependency, budget and resource constraints.

Risk, tails & resilience Constrained optimization

Optimize shadow AI governance portfolio

Choose block, broker, migrate, allow-with-controls or monitor policy for each aggregate shadow-AI service class, maximizing expected value minus loss CVaR under residual-exposure, detection, control, dependency, exclusion, budget and resource gates while pricing common provider value at risk once through joint survival.

AI risk, rights & assurance Forecasting & survival

Optimize shared assumption hedging portfolio

Choose a budgeted, capacity-feasible portfolio of validation, option, diversification or mitigation actions against shared business assumptions, combining repeated actions as diminishing remaining-gap closure while preserving cross-initiative reach, multi-premise complementarity, dependencies, exclusions, common scenario costs, positive-value probability and CVaR.

Analytics assurance & orchestration Constrained optimization

Optimize shared platform investment

Choose a shared-platform option and adopter coalition under budget, capacity, joint scenarios, pairwise network value, CVaR, and individually rational Shapley-informed cost allocation.

Investment & portfolio choice Network & dependency analysis

Optimize software supply chain remediation portfolio

Choose exactly one accept, patch, upgrade, replace, isolate or remove option per governed component while unique application disruption paths, direct incident loss, transition/operating/upfront cost, license compliance, scenario availability, cross-option feasibility, budget, capacity and CVaR are optimized together with exact or disclosed beam search.

Security, access & compliance Constrained optimization

Optimize sovereign data placement portfolio

Choose one executable regional placement per governed data workload by Monte Carlo posterior risk and exact/beam Pareto search under hard residency, KMS, encryption, diversity, latency, availability, relation, budget and capacity constraints.

Security, access & compliance Sequential Bayesian & bandits

Optimize stage gate funding

Value project continuation and abandonment by backward induction at each evidence gate, then select a portfolio within initial and expected follow-on capital limits.

Delivery forecasting & commitments Constrained optimization

Optimize stochastic flow control MPC

Optimize the next delivery-flow control with stochastic receding-horizon model-predictive control, serial queue dynamics, calibrated arrival and capacity scenarios, expected/CVaR cost, switching limits, exact sequence search, and a disclosed beam-search fallback.

People, retention & knowledge Constrained optimization

Optimize stratified evidence sampling

Allocate a fixed evidence budget across finite-population strata with exact discrete Neyman allocation and quantify precision gained over proportional sampling.

Measurement integrity Constrained optimization

Optimize tail risk budget allocation

Allocate a finite mitigation budget across mutually exclusive component mitigation levels to minimize portfolio CVaR while preserving aligned scenario dependence.

Risk, tails & resilience Constrained optimization

Optimize team topology

Partition the collaboration graph into bounded teams while balancing preserved working relationships, skill coverage, membership stability, and fixed assignments.

Org design, incentives & decisions Network & dependency analysis

Optimize technical asset lifecycle portfolio

Choose exactly one retain, modernize, migrate or retire option per technical asset under common scenarios, unique value-stream capability coverage, full lifecycle cost and obsolescence loss, cross-option feasibility, budget/capacity and expected-loss/CVaR gates; return a cost-value-tail Pareto frontier with exact or optimistic-bound beam-search disclosure.

Finance & unit economics Constrained optimization

Optimize technical debt paydown portfolio

Choose a dependency- and exclusion-safe technical-debt portfolio under capacity and cash budgets by discounting compounding recurring drag, failure exposure, remediation effectiveness, risk reduction, and engineering opportunity cost.

Measurement integrity Constrained optimization

Optimize technology risk limit allocation

Allocate scarce aggregate technology risk limits across discrete locally executable operating envelopes, preserving option relations and common loss once; maximize expected net value after a capital charge subject to nominal, expected-loss, CVaR, economic-capital and RAROC appetite, then reconcile selected unit capital with exact or seeded Shapley allocation.

Risk, tails & resilience Constrained optimization

Optimize time consistent capital policy

Optimize a finite multistage capital policy that can actually be followed: attach action bundles to observable scenario-tree nodes, enforce local budgets/capacity plus pathwise dependencies and exclusions, roll scenario cash and terminal enterprise value, constrain liquidity chance and recursively nested conditional CVaR, and disclose exact global enumeration or deterministic beam fallback.

Risk, tails & resilience Constrained optimization

Optimize value realization recovery portfolio

Choose a budgeted, capacity-feasible portfolio of stage-specific value-recovery interventions under coherent scenarios, combining each action as diminishing closure of its remaining gap while preserving cross-stage strategic complementarity, dependencies, exclusions, positive-value probability, CVaR and exact-or-disclosed beam search.

Investment & portfolio choice Constrained optimization

Optimize vendor contract terms

Optimize vendor contract terms across coherent usage, service-credit, exit, and fallback-price scenarios using exact option evaluation, CVaR, Pareto screening, and total-variation probability robustness.

Vendors, sourcing & build-vs-buy Constrained optimization

Optimize workforce policy tree

Optimize staged team/role capacity actions through uncertain demand by Monte Carlo backward induction.

Capacity, staffing & flow Constrained optimization

Rank experiments by expected information gain

Rank prospective experiments by Bayesian mutual information and decision-aware expected value of sample information across explicit hypotheses, result likelihoods and decision payoffs; price usability, monetary cost and decision delay, expose recommendation-change probability, and preserve a value-information-cost-delay Pareto set.

Delivery forecasting & commitments Sequential Bayesian & bandits

Rank features by evidence adjusted ROI

Rank feature investments by reliability-shrunk ROI, downside probability, and CVaR using aligned outcome scenarios and an explicit skeptical prior.

Customer, revenue & pricing Forecasting & survival

Rank initiatives evidence adjusted value

Rank initiatives using an explicit mixture of finance-approved value scenarios and a skeptical prior weighted by backtested evidence reliability, with downside and CVaR gates.

Investment & portfolio choice Forecasting & survival

Rank management actions

Rank reversible, evidence-backed management actions and separate blocked work.

Org design, incentives & decisions Decision analysis

Rank portfolio companies by risk adjusted progress

Rank stage-comparable portfolio companies by evidence-shrunk milestone value minus a CVaR downside penalty per cash consumed, with weak evidence explicitly unranked.

Investment & portfolio choice Constrained optimization

Recommend safe contextual bandit action

Recommend contextual aggregate interventions with Bayesian reward learning only inside a posterior logistic harm constraint, explicitly falling back to a governed baseline when no arm is safe enough.

Risk, tails & resilience Sequential Bayesian & bandits

Recommend stop continue scale decisions

Recommend stop, continue learning, or scale for aggregate initiatives using beta-binomial posterior rollout economics, independent harm gates, simulation precision, sampling cost, and opportunity decay.

Delivery forecasting & commitments Causal inference & experiment design

Reconcile hierarchical delivery forecasts mint

Reconcile independently produced portfolio, product, team, repository, or workstream forecasts into one additive hierarchy using shrinkage MinT: learn the cross-level residual covariance on training forecasts, prove coherence, gate accuracy on later untouched periods, and return coherent current forecasts with uncertainty intervals.

Risk, tails & resilience Forecasting & survival

Reconcile plan actual variance drivers

Reconcile plan-to-actual value variance with an exact, order-independent Shapley decomposition of a declared multilinear operating model.

Causal evidence & experiments Decision analysis

Score evidence readiness

Gate an analytical claim on coverage, freshness, identity resolution, sample size, and source agreement.

Measurement integrity Statistical audit & measurement

Simulate contextual thompson bandit

Simulate Bayesian contextual Thompson sampling and quantify intervention reward, regret, and policy uncertainty.

Causal evidence & experiments Sequential Bayesian & bandits

Simulate delivery flow digital twin

Simulate delivery as a network of finite queues with stochastic arrivals, lognormal service, rework, WIP limits, and policy economics.

Capacity, staffing & flow Network & dependency analysis

Simulate dependency cascade risk

Stress-test correlated baseline failures and directed dependency cascades with portfolio loss VaR/CVaR and risk contributions.

Risk, tails & resilience Network & dependency analysis

Simulate startup financing survival

Simulate dependency-gated milestone execution, correlated fundraising conditions, event-timed burn and insolvency to quantify survival, financing dependence, and rescue capital.

Investment & portfolio choice Forecasting & survival

Solve bayesian influence diagram

Solve an exact discrete Bayesian influence diagram over actions, chance-node DAGs, action-dependent conditional probabilities, pre-decision evidence, and additive utility tables, then quantify action regret and the expected value of perfect information for observable exogenous nodes.

Analytics assurance & orchestration Sequential Bayesian & bandits

Solve belief state management policy

Solve a finite-horizon partially observable management problem over calibrated latent operating states and quantify the value of adaptive observation.

Risk, tails & resilience Constrained optimization

Solve budgeted bayesian experiment portfolio

Choose a budget- and resource-feasible portfolio of Bayesian experiments whose correlated observations can change multiple governed deployment decisions.

Causal evidence & experiments Sequential Bayesian & bandits

Solve distributionally robust markov policy

Solve a discounted Markov policy against simultaneous L1 transition-confidence sets derived from empirical state-action counts.

Risk, tails & resilience Markov & state-space control

Solve distributionally robust product portfolio

Solve a budgeted product portfolio under ambiguity in scenario probabilities, acyclic dependencies, mutually exclusive choices, and governed pairwise cannibalization or synergy using a total-variation uncertainty set.

Investment & portfolio choice Constrained optimization

Solve entropic risk sensitive markov policy

Solve a finite-horizon Markov policy under exponential downside utility and compare it with the risk-neutral policy using paired Monte Carlo lower-tail CVaR.

Risk, tails & resilience Markov & state-space control

Solve robust multiobjective portfolio

Solve a budgeted dependency-safe portfolio against both scenario-probability ambiguity and every vertex of a bounded stakeholder-preference simplex, using governed utility anchors and returning practically nondominated supported tradeoffs.

Capacity, staffing & flow Constrained optimization

Solve robust policy across causal models

Choose an aggregate policy across competing interventional causal models and a bounded posterior credal set: derive model-by-action expected utility from outcome probabilities, compute exact lower/upper utility and adversarial model weights, minimize worst-case regret, expose model disagreement and value of perfect model information, and fail closed when any causal evidence gate fails.

Delivery forecasting & commitments Causal inference & experiment design

Stack resolved probability forecasts

Fit convex weights to frozen probability forecasts on chronological training history and require bootstrap-validated log-loss improvement over the training-selected best component on future outcomes.

Measurement integrity Forecasting & survival

Stress test causal effect robustness

Quantify the omitted-confounder partial-R² strength required to erase a causal point estimate or its statistical significance, benchmarked against observed covariates.

Causal evidence & experiments Causal inference & experiment design

Stress test investment memo assumptions

Stress an investment memo's local value model by shrinking weak claims toward declared adverse values, pricing pairwise nonlinear interactions, and finding the first failure fraction along a joint adverse path.

Investment & portfolio choice Decision analysis

Stress test knowledge resilience

Simulate partial-mastery knowledge coverage under individual and correlated team shocks, attribute continuity criticality, and optimize cross-training under money and capacity constraints.

People, retention & knowledge Constrained optimization

Stress test operating plan assumptions

Stress every operating-plan assumption individually and along a common adverse path, exposing remaining outcome headroom and the linear breakpoint at which the plan fails.

Risk, tails & resilience Decision analysis

Validate temporal leading indicators

Validate aggregate leading indicators only when their lagged history improves expanding-window forecasts beyond target autoregression, with block inference and FDR.

Measurement integrity Forecasting & survival

Value AI assistant rollout ROI

Value an aggregate AI-assistant rollout from aligned joint causal-effect draws, preserving delivery/time/defect/incident dependence while enforcing identification, out-of-time, overlap, metric-integrity, effective-sample, quality-harm, NPV, ROI, and payback gates.

Analytics assurance & orchestration Causal inference & experiment design

Value architecture migration option

Value an irreversible architecture migration as a finite-horizon, signal-contingent optimal-stopping policy that cannot see future information; compare its expected and tail cost with never migrating, every fixed migration date, and a perfect-information ceiling, then expose the option value of waiting for real evidence.

Vendors, sourcing & build-vs-buy Constrained optimization

Value dependency unblocking

Value shortening one blocker by propagating aligned duration scenarios through a dependency DAG, repricing earlier completion under task-specific value decay, and mixing unblock success or failure after cost.

Capacity, staffing & flow Forecasting & survival

Value next round option

Value raising now versus delaying for a milestone by simulating posterior milestone success, bridge-capacity failure, conditional future dilution, terminal stakeholder value, and lower-tail delay loss.

Investment & portfolio choice Sequential Bayesian & bandits

Value of information

Calculate how much it is worth paying for more information before making an engineering decision.

Measurement integrity Decision analysis

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