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Anthea Monod

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#machine learning Preprint Oct 2026

Explicit Bounds on Hoffman Constants for Sparse Polyhedral Regularizers

Hoffman constants quantify the distance to the solution set of a polyhedral system in terms of its residual; they control error bounds, geometric conditioning, the convergence rate of first-order iterative algorithms, and the stability of regression estimators to target perturbations. Despite their importance, explicit...

Faris Chaudhry, Anthea Monod, Keisuke Yano · 0 citations
#machine learning Preprint May 2024

A Computational Tropical Geometry Framework for Neural Networks

This work proposes a computational tropical geometry framework for the symbolic analysis of neural networks with tropical activations, and presents an algorithm, together with a proof of correctness, which computes the linear regions of a neural network as explicit unions of polyhedra.

Paul Lezeau, Thomas Walker, Yueqi Cao et al. · 1 citation

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