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An approach to reachability analysis for feed-forward ReLU neural networks

5 Pith papers cite this work. Polarity classification is still indexing.

5 Pith papers citing it
abstract

We study the reachability problem for systems implemented as feed-forward neural networks whose activation function is implemented via ReLU functions. We draw a correspondence between establishing whether some arbitrary output can ever be outputed by a neural system and linear problems characterising a neural system of interest. We present a methodology to solve cases of practical interest by means of a state-of-the-art linear programs solver. We evaluate the technique presented by discussing the experimental results obtained by analysing reachability properties for a number of benchmarks in the literature.

years

2026 3 2025 2

representative citing papers

Relaxation-Informed Training of Neural Network Surrogate Models

math.OC · 2026-04-24 · conditional · novelty 7.0

Regularizers that penalize big-M constants, unstable neurons, and per-sample LP relaxation gaps during neural network training reduce MILP solve times by up to four orders of magnitude while preserving surrogate accuracy.

Hybrid Robustness Verification for Spatio-Temporal Neural Networks

cs.CV · 2026-06-08 · unverdicted · novelty 6.0

STBP computes exact closed-form bounds for the first convolutional layer of spatio-temporal networks and propagates scalable approximations through the rest to certify robustness under subset-frame or patch perturbations.

Faster Verified Explanations for Neural Networks

cs.LG · 2025-11-28 · unverdicted · novelty 6.0

FaVeX accelerates verified explanations for neural networks via dynamic batch-sequential processing and query reuse while introducing verifier-optimal robust explanations that incorporate verifier incompleteness.

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