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Paper · arXiv

Probabilistic Verification of Neural Networks via Efficient Probabilistic Hull Generation

The problem of probabilistic verification of a neural network investigates the probability of satisfying the safe constraints in the output space when the input is given by a probability distribution. It is significant to answer this problem when the input is affected by disturbances often modeled by probabilistic variables. In the paper, we propose a novel neural network probabilistic verification framework which computes a guaranteed range for the safe probability by efficiently finding safe and unsafe probabilistic hulls. Our approach consists of three main innovations: (1) a state space subdivision strategy using regression trees to produce probabilistic hulls, (2) a boundary-aware sa...

AuthorsJingyang Li, Xin Chen, Hongfei Fu et al.
Primary categorycs.AI
Published23 April 2026
Last updated at source23 April 2026
cs.AIcs.SE
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