StepCOPS: Closed-Testing Lower-Tail Certificates for Language-Model Policy Selection
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Abstract (arXiv)
Post-training pipelines must select one language-model policy from many checkpoints, prompts, and decoding rules. Mean evaluator scores can conceal rare failures, whereas simultaneous candidate-wise confidence bounds can be unnecessarily conservative. We introduce StepCOPS, which uses an independent proposal split to nominate one lower-tail floor per candidate, exact binomial tests on a fresh certification split, and Holm's step-down procedure to certify a set of floors. With probability at least 1-δ, every certified floor, including the largest floor used for policy selection, is below its candidate's population lower α-quantile. This guarantee assumes i.i.d. evaluation units while allowing arbitrary within-unit dependence across candidates. Across 24 predeclared configurations and 11 benchmarks, StepCOPS obtains 96.4% selected-policy coverage over 500 paired trials, raises the certified floor by 1.5 points over both proposal-Bonferroni and exact COPS, remains 0.6 points below the large-reference jury oracle, and abstains in 2.4% of trials. Shadow-judge, benchmark-native, artifact, and leave-one-judge-out audits characterize the proxy boundary: the guarantee applies to the fixed jury score, not directly to human safety.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 19 of its 31 references that are in the map. First posted on arXiv 26 Aug 2026.
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References · 19
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7 more
- 2019Batch Policy Learning under Constraintscited by 242
- 2023Cal-QL: Calibrated Offline RL Pre-Training for Efficient Online Fine-Tuningcited by 230
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- 2025Conformal Tail Risk Control for Large Language Model Alignmentcited by 8
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