https://arxiv.org/abs/2306.11827

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Computer Science > Machine Learning

arXiv:2306.11827 (cs)
[Submitted on 20 Jun 2023]

Title:Any Deep ReLU Network is Shallow

Authors:Mattia Jacopo Villani, Nandi Schoots
Download a PDF of the paper titled Any Deep ReLU Network is Shallow,
by Mattia Jacopo Villani and 1 other authors
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    Abstract: We constructively prove that every deep ReLU network
    can be rewritten as a functionally identical three-layer network
    with weights valued in the extended reals. Based on this proof,
    we provide an algorithm that, given a deep ReLU network, finds
    the explicit weights of the corresponding shallow network. The
    resulting shallow network is transparent and used to generate
    explanations of the model s behaviour.

Comments: 12 pages including bibliography and appendix
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI);
          Machine Learning (stat.ML)
Cite as:  arXiv:2306.11827 [cs.LG]
          (or arXiv:2306.11827v1 [cs.LG] for this version)
          https://doi.org/10.48550/arXiv.2306.11827
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: Mattia Jacopo Villani [view email]
[v1] Tue, 20 Jun 2023 18:37:21 UTC (7,539 KB)
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