arXiv Machine Learning By Flavia Esposito, Andersen Ang

Optimization on the Oblique Manifold for Sparse Simplex Constraints via Multiplicative Updates

Read the original on arXiv Machine Learning →

arXiv:2503. 24075v4 Announce Type: replace-cross Abstract: Low-rank optimization problems with sparse simplex constraints involve variables that must satisfy nonnegativity, sparsity, and sum-to-1 conditions, making their optimization particularly challenging due to the interplay between low-rank structures and constraints.

Summary generated by The Flow from the publisher's feed. The full article lives at arXiv Machine Learning.

arXiv Machine Learning
Jun 2

Riemannian Optimization for Hadamard Products of Low-Rank Matrices

arXiv:2606. 01216v1 Announce Type: new Abstract: The elementwise Hadamard product of two low-rank matrices provides a parameter-efficient model for data with multiplicative structure, but its modeling is challenging due to the presence of additional symmetries under coupled row/column scalings between the two factors.

By Pratik Jawanpuria, Ankish Chandresh, Bamdev Mishra
arXiv Machine Learning
1d ago

Iso-Riemannian Optimization on Learned Data Manifolds

arXiv:2510. 21033v3 Announce Type: replace-cross Abstract: We develop a theory of iso-Riemannian optimization for problems constrained to learned data manifolds, a setting in which classical Riemannian optimization - and Riemannian gradient descent in particular - can be poorly suited.

By Willem Diepeveen, Melanie Weber
arXiv Machine Learning
Jun 24

Constrained Variable Projection for Structured Problems

arXiv:2606. 23939v1 Announce Type: cross Abstract: Variable projection is a classical technique for separable nonlinear least-squares problems, in which variables that enter linearly are eliminated exactly, yielding a reduced nonlinear problem.

By Emanuele Zangrando, Sara Venturini, Francesco Rinaldi, Francesco Tudisco