Paper Overview
Field: Machine Learning Authors: Parivesh Priye, Yufeng Wang, Haibin Ling, Michael Chaykowsky Published: 2026-09-18 arXiv: 2609.22048
Abstract (English)
A selective predictor acts as a safety gate: it returns an output only when the prediction appears sufficiently trustworthy. Deployments increasingly require this reliability to be certified at a target precision for every reporting unit of interest, such as a tool, policy label, or patient subgroup. The main difficulty is often not whether a granted certificate is valid, but whether finite calibration data can produce one at all. As the gate becomes safer or more fine-grained, some units may receive too little evidence to certify.
The authors make this notion of availability computable through classical exact-binomial inversion and formulate reporting-partition selection, under a fixed group order, as a dynamic program that exposes the trade-off among safety, granularity, and served traffic.
Key Findings
- The resulting frontier reveals substantial population opportunity almost erased by finite-sample estimation: an informed, truthful planner gains 0.157 higher average coverage than support-balanced selection, while a naive estimator recovers only 0.005 — making recovery from finite data the central challenge.
- Building candidate partitions on one planning partition and selecting on another partially bridges this gap, improving average coverage by 0.060 over support-balanced selection, with the direction reproduced in 59 of 60 model effects across three intent-routing datasets and two architectures.
- A complementary validity-preserving lever — redistributing family-wise error budgets across reporting units — recovers additional coverage under both population-scale and noisy estimation.
- The same frontier recurs as a predictor-specific ceiling across LLM tool calling, content moderation, lesion classification, and recommendation scenarios.
Conclusion
Certified availability is a plannable deployment resource: it determines when safety gates can be certified, at what granularity, and how much traffic they serve.
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