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| id: ML18 |
| title: "Post-hoc calibration methods for sklearn classifiers on tabular benchmarks" |
| arxiv_id: null |
| venue: "ARC-Bench 2026" |
| paper_asset: null |
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| synthesis: | |
| Many widely used scikit-learn classifiers optimize discrimination rather |
| than probability quality. Random forests, gradient boosting models, and |
| RBF-kernel SVMs can achieve strong accuracy while output probabilities are |
| miscalibrated, especially on small or moderately imbalanced tabular data. |
| This matters in decision settings where thresholds, risk ranking, or cost- |
| sensitive actions depend on reliable confidence estimates. |
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| Post-hoc calibration methods are attractive because they can be layered onto |
| existing models without retraining the base learner. Platt scaling fits a |
| sigmoid map, isotonic regression fits a non-parametric monotone map, and |
| temperature scaling applies a single-parameter logit rescaling (implemented |
| for binary tasks via optimization on held-out logits/probabilities). These |
| methods differ in flexibility and overfitting risk, so their relative value |
| may depend on classifier family and dataset size. |
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| A credible CPU-scale study should compare uncalibrated outputs versus at |
| least three calibrators across multiple sklearn tabular datasets, using a |
| proper train/calibration/test protocol and repeated seeds. Because this is a |
| calibration-centric question, expected calibration error (ECE) and log loss |
| should be primary metrics, with accuracy used as a guardrail to ensure that |
| calibration does not degrade classification utility. |
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| The goal is not to reproduce a single paper result but to test whether any |
| one calibrator is consistently superior across heterogeneous models and |
| datasets under tight compute constraints. The key uncertainty is whether |
| method ranking is stable enough to justify a default choice. |
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| *Which post-hoc calibration method (Platt, isotonic, temperature) most reliably improves ECE across RF/GBM/SVM-RBF on small tabular sklearn benchmarks without materially harming accuracy?* |
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| hypotheses: |
| - id: H1 |
| statement: "At least one post-hoc calibrator (Platt, isotonic, or temperature) reduces ECE by at least 10% relative to the uncalibrated model for at least 2 of 3 classifiers on at least 2 of 3 datasets, averaged over >=3 seeds." |
| measurable: true |
| - id: H2 |
| statement: "Isotonic regression achieves lower mean ECE than Platt scaling on at least 2 of 3 datasets when calibration-set size is >=150 samples." |
| measurable: true |
| - id: H3 |
| statement: "Applying post-hoc calibration changes test accuracy by no more than 1.0 absolute percentage point (mean over seeds) for each classifier-dataset pair." |
| measurable: true |
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| experiment_design: |
| research_question: "Which post-hoc calibration method (Platt, isotonic, temperature) most consistently improves probability calibration for RF/GBM/SVM-RBF on sklearn tabular datasets while preserving accuracy?" |
| conditions: |
| - name: "uncalibrated" |
| description: "Base classifier probabilities/decision scores used directly with no calibration." |
| - name: "platt_scaling" |
| description: "Sigmoid calibration fit on a held-out calibration split (CalibratedClassifierCV with method='sigmoid' or equivalent)." |
| - name: "isotonic_regression" |
| description: "Isotonic calibration fit on a held-out calibration split (CalibratedClassifierCV with method='isotonic' or equivalent)." |
| - name: "temperature_scaling" |
| description: "Single temperature parameter optimized on calibration split to minimize NLL; applied to logits/scores before probability mapping." |
| baselines: |
| - "uncalibrated outputs are the primary baseline" |
| - "platt_scaling serves as a classic parametric calibration baseline" |
| metrics: |
| - name: "ece" |
| direction: "minimize" |
| description: "Expected Calibration Error (10-15 bins) on the held-out test split, averaged over seeds." |
| - name: "log_loss" |
| direction: "minimize" |
| description: "Negative log-likelihood on test probabilities." |
| - name: "test_accuracy" |
| direction: "maximize" |
| description: "Classification accuracy on held-out test split to verify discrimination is preserved." |
| datasets: |
| - name: "breast_cancer" |
| source: "sklearn.datasets.load_breast_cancer" |
| - name: "wine" |
| source: "sklearn.datasets.load_wine" |
| - name: "digits_binary" |
| source: "sklearn.datasets.load_digits with target transformed to binary (e.g., digit<5 vs >=5)" |
| compute_requirements: |
| gpu_required: false |
| estimated_wall_clock_sec: 480 |
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| rubric_path: "experiments/arc_bench/config/ml/rubrics/ML18.json" |
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