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arXiv · 2402.08676

A Convergence Analysis of Approximate Message Passing with Non-Separable Functions and Applications to Multi-Class Classification

Burak Çakmak·Yue M. Lu·Manfred Opper
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Abstract

Motivated by the recent application of approximate message passing (AMP) to the analysis of convex optimizations in multi-class classifications [Loureiro, et. al., 2021], we present a convergence analysis of AMP dynamics with non-separable multivariate nonlinearities. As an application, we present a complete (and independent) analysis of the motivated convex optimization problem.

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Burak Çakmak, Yue M. Lu, Manfred Opper. 2024-02-13. A Convergence Analysis of Approximate Message Passing with Non-Separable Functions and Applications to Multi-Class Classification. https://arxiv.org/abs/2402.08676

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