Deep Sturm–Liouville: From Sample-Based to 1D Regularization with Learnable Orthogonal Basis Functions

David Vigouroux; Joseba Dalmau; Louis Béthune; Victor Boutin

2025 ICML ICML 2025

Deep Sturm–Liouville: From Sample-Based to 1D Regularization with Learnable Orthogonal Basis Functions

Abstract

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🌉 Interdisciplinary Bridge - Artificial Intelligence and Mathematics & Optimization

Authors

David Vigouroux, Joseba Dalmau, Louis Béthune, Victor Boutin

Topics

Deep Learning > Architectures > Neural Networks Mathematics & Optimization > Optimization > Continuous Optimization

Keywords

stochastic gradient descent implicit regularization field lines orthogonal basis functions rank-1 parabolic eigenvalue problem sturm-liouville

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