Tag: mirror
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Implicit Bias and Convergence of Matrix Stochastic Mirror Descent
Implicit Bias and Convergence of Matrix Stochastic Mirror Descent arXiv:2602.18997v1 Announce Type: new Abstract: We investigate Stochastic Mirror Descent (SMD) with matrix parameters and vector-valued predictions, a framework relevant to multi-class classification and matrix completion problems. Focusing on the overparameterized regime, where the total number of parameters exceeds the number of training samples, we prove…
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Mirror Flow Matching with Heavy-Tailed Priors for Generative Modeling on Convex Domains
Mirror Flow Matching with Heavy-Tailed Priors for Generative Modeling on Convex Domains arXiv:2510.08929v1 Announce Type: new Abstract: We study generative modeling on convex domains using flow matching and mirror maps, and identify two fundamental challenges. First, standard log-barrier mirror maps induce heavy-tailed dual distributions, leading to ill-posed dynamics. Second, coupling with Gaussian priors performs poorly…
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Mirror Descent Using the Tempesta Generalized Multi-parametric Logarithms
Mirror Descent Using the Tempesta Generalized Multi-parametric Logarithms arXiv:2506.13984v1 Announce Type: new Abstract: In this paper, we develop a wide class Mirror Descent (MD) algorithms, which play a key role in machine learning. For this purpose we formulated the constrained optimization problem, in which we exploits the Bregman divergence with the Tempesta multi-parametric deformation logarithm…