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Estimation of the Lipschitz Norm with Neural Networks

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Abstract

This paper describes a method to estimate the Lipschitz gain of an operator through identification with neural networks. It is shown that through simple manipulation of the network coefficients, the Lipschitz constant could be estimated. Illustrations and applications are also given to show the effectiveness and usefulness of this estimation scheme.

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Authors and Affiliations

  1. Department of Electronic Engineering, The Hong Kong Polytechnic University, HungHom, Hong Kong

    K.C. Sio & C.K. Lee

Authors
  1. K.C. Sio
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  2. C.K. Lee
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Sio, K., Lee, C. Estimation of the Lipschitz Norm with Neural Networks. Neural Processing Letters 6, 99–108 (1997). https://doi.org/10.1023/A:1009667824060

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  • DOI: https://doi.org/10.1023/A:1009667824060

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