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PAC Confidence Sets for Deep Neural Networks via Calibrated Prediction

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arxiv 2001.00106 v2 pith:GAYCCKDM submitted 2019-12-31 cs.LG stat.ML

classification cs.LGstat.ML
keywords confidencesetscalibratedconstructdeeplearningmodelnetworks
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose an algorithm combining calibrated prediction and generalization bounds from learning theory to construct confidence sets for deep neural networks with PAC guarantees---i.e., the confidence set for a given input contains the true label with high probability. We demonstrate how our approach can be used to construct PAC confidence sets on ResNet for ImageNet, a visual object tracking model, and a dynamics model for the half-cheetah reinforcement learning problem.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. How Many Iterations to Jailbreak? Dynamic Budget Allocation for Multi-Turn LLM Evaluation

    cs.LG 2026-05 unverdicted novelty 7.0 of 10

    DAPRO provides the first dynamic, theoretically guaranteed way to allocate interaction budgets across test cases for bounding time-to-event in multi-turn LLM evaluations, achieving tighter coverage than static conform...

  2. Position: There Is No Free Bayesian Uncertainty Quantification

    stat.ML 2025-06 conditional novelty 4.0 of 10

    Bayesian updating is reframed as an optimization problem without inherent uncertainty quantification, and a PAC-style calibration step is proposed to give predictive intervals frequentist coverage.

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