Generalizing neural network verification to the family of piece-wise linear activation functions

In this paper, we extend an available neural network verification technique to support the full class of piece-wise linear activation functions. Furthermore, we extend the algorithms, which provide in their original form exact, respectively, over-approximative results for bounded input sets represented as star sets, to allow also unbounded input sets. We implemented our algorithms and demonstrate their effectiveness on some case studies.

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Publication Details

Journal
Science of Computer Programming
Published
2025-02-05
DOI
https://doi.org/10.1016/j.scico.2025.103269
Citations
2
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
4.96

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article

Generalizing neural network verification to the family of piece-wise linear activation functions

László Antal, Erika Ábrahám, Hana Masara
2 citations
Science of Computer Programming
Neural Networks and Applications
4.96
article

Generalizing neural network verification to the family of piece-wise linear activation functions

László Antal, Erika Ábrahám, Hana Masara
article en
2 citations

Abstract

In this paper, we extend an available neural network verification technique to support the full class of piece-wise linear activation functions. Furthermore, we extend the algorithms, which provide in their original form exact, respectively, over-approximative results for bounded input sets represented as star sets, to allow also unbounded input sets. We implemented our algorithms and demonstrate their effectiveness on some case studies.

Science of Computer ProgrammingVol. 243
RWTH Aachen University (DE)
H2020 Marie Skłodowska-Curie Actions
Openalex Percentile: Top 6%
Neural Networks and Applications
4.96
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