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.

What it's for

Closes the probability-quality loop after a calibration audit or e-process alarm by producing a validated deployable correction map.

What you give it

Inputs split into evidence read from your connected systems, calibration your team owns, and numerical controls that affect precision but never the result's meaning.

Field Type Role Required
bootstrap_draws integer ≥ 200, ≤ 20000 Numerical control Optional
calibration_rows array of objects (3 fields) Evidence Yes
confidence_level number ≥ 0.8, ≤ 0.999 Your calibration Optional
folds integer ≥ 2, ≤ 10 Your calibration Optional
minimum_brier_improvement number ≥ 0 Your calibration Optional
probabilities_to_recalibrate array of objects (2 fields) Evidence Optional
seed integer Numerical control Optional

Each calibration_rows record

Field Type Required
id string (non-empty) Yes
outcome one of "0", "1" Yes
predicted_probability number (≥ 0, ≤ 1) Yes
Example input
{
  "bootstrap_draws": 200,
  "calibration_rows": [
    {
      "id": "forecast-0",
      "outcome": 1,
      "predicted_probability": 0.2
    },
    {
      "id": "forecast-1",
      "outcome": 0,
      "predicted_probability": 0.2
    },
    {
      "id": "forecast-2",
      "outcome": 0,
      "predicted_probability": 0.2
    },
    {
      "id": "forecast-3",
      "outcome": 0,
      "predicted_probability": 0.2
    },
    {
      "id": "forecast-4",
      "outcome": 1,
      "predicted_probability": 0.2
    },
    {
      "id": "forecast-5",
      "outcome": 0,
      "predicted_probability": 0.2
    },
    {
      "id": "forecast-6",
      "outcome": 0,
      "predicted_probability": 0.2
    },
    {
      "id": "forecast-7",
      "outcome": 0,
      "predicted_probability": 0.2
    },
    {

Truncated for display — the full payload is 512 lines.

What you get back

This is the actual output of running the example above — computed by the same function the platform calls, not an illustration.

Example output
{
  "assumptions": [
    "Calibration rows are resolved, representative, and use immutable probabilities recorded before outcomes.",
    "The calibration relationship is monotone: higher original scores should not imply lower event frequency.",
    "The deployment gate uses out-of-fold predictions; the final map is refit on all calibration rows only after validation.",
    "Recalibration repairs probability reliability, not ranking discrimination, missing predictors, or causal validity."
  ],
  "calibration_map": [
    {
      "calibration_rows": 50,
      "input_probability_high": 0.2,
      "input_probability_low": 0.2,
      "recalibrated_probability": 0.26
    },
    {
      "calibration_rows": 50,
      "input_probability_high": 0.7,
      "input_probability_low": 0.7,
      "recalibrated_probability": 0.76
    }
  ],
  "cross_fitted_validation": {
    "brier_after": 0.2007,
    "brier_before": 0.191,
    "brier_improvement": -0.0097,
    "brier_improvement_interval": {
      "high": 0.0018,
      "low": -0.0221
    },
    "ece_after": 0.113,
    "ece_before": 0.06,
    "log_loss_after": 0.5989,
    "log_loss_before": 0.5718
  },
  "decision": "retain_original_probabilities",
  "method": "cross_fitted_pav_isotonic_recalibration_v1",
  "recalibrated_probabilities": [
    {
      "id": "new-risk",
      "original_probability": 0.2,
      "recalibrated_probability": 0.26
    }
  ],
  "sample": {

Truncated for display — the full payload is 49 lines.

How it works

Statistical audit & measurement — Check whether a number is fit to decide on: coverage, timing, reconciliation, and the gaps a dashboard hides.

  1. 1 Repair monotone probability calibration with pool-adjacent-violators while using cross-fitting and a paired bootstrap to prove out-of-sample Brier improvement.
  2. 2 Evaluate the method-specific diagnostics and gates returned by the function, then abstain unless the declared decision clears them under locally governed thresholds.

Before you trust it

Every tool in the catalog ships with the conditions under which its answer is meaningful — and the conditions under which it should abstain instead of guessing.

Assumptions & guardrails

  • Metric definitions, weights, aggregate grain, sampling, missingness, dependence, and comparison windows correspond to the management claim being audited.
  • Association, instability, or measurement quality is not a causal effect and must not be converted directly into an individual employment decision.

Minimum evidence

  • calibration_rows: required and organization-defined

How to validate it

Use chronological train/calibration/test windows, compare proper scores and decision value with a simple baseline, and recalibrate only from outcomes resolved after prediction time.

Calibrating it to your org

Same for everyone

The mathematical kernel, validation rules, method version, and JSON output semantics are organization-independent; no tenant-trained coefficients or company benchmark is embedded in the function.

Specific to you

  • metric/outcome definitions, entity grain, observation window, costs, thresholds, priors, and constraints represented by the function inputs

Calibration workflow

  1. 1 Define the management decision, target outcome, aggregate unit, privacy boundary, cadence, and prediction/intervention horizon for this organization.
  2. 2 Build a tenant-scoped historical cohort using only information available before each prediction or decision; preserve zero periods, censoring, assignment probabilities, and unresolved outcomes when the method requires them.
  3. 3 Estimate statistical parameters on training history, but obtain costs, utilities, risk tolerance, practical-effect thresholds, capacity, and policy constraints from accountable decision owners.
  4. 4 Validate on later time windows or held-out aggregate units at the deployment grain, against a simple baseline and the function-specific validation strategy.
  5. 5 Deploy only if the returned decision clears evidence, overlap, calibration, robustness, and guardrail checks; warning, unsupported, schema-gap, and fallback decisions are abstentions.
  6. 6 Monitor realized outcomes, data drift, coverage, and decision regret; recalibrate at a governed cadence or after a detected regime/definition change, never merely because a stakeholder dislikes the result.

Call it from your AI

You don't wire up 388 tools in your MCP client. The GitRevio MCP server exposes 18 tools, three of which let an agent search the catalog, read a tool's schema, and run it — so the assistant finds this one on its own.

gitrevio_capabilities_search
  { "q": "repair monotone probability calibration with pooladjacentviolators" }
  → finds "fit_cross_fitted_isotonic_recalibrator"

gitrevio_capability_describe
  { "capability_id": "fit_cross_fitted_isotonic_recalibrator" }
  → returns the input schema and agent guidance shown on this page

gitrevio_capability_run
  { "capability_id": "fit_cross_fitted_isotonic_recalibrator", "arguments": { ... } }
  → returns the result shown above

Works in Claude Desktop, Claude Code, Cursor, Cline, Continue.dev, Goose and Aider. See the MCP server.

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