62 citations · 186 across the 19 of their papers we have counts for
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math.OC2023★ 3 cited
Optimization on product manifolds under a preconditioned metric
Bin Gao, Renfeng Peng, Ya-xiang Yuan
Since optimization on Riemannian manifolds relies on the chosen metric, it is appealing to know that how the performance of a Riemannian optimization method varies with different m…
stat.ML2023★ 1 cited
Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints
Pierre Ablin, Simon Vary, Bin Gao +1
Orthogonality constraints naturally appear in many machine learning problems, from principal component analysis to robust neural network training. They are usually solved using Rie…
math.OC2023
Riemannian preconditioned algorithms for tensor completion via tensor ring decomposition
Bin Gao, Renfeng Peng, Ya-xiang Yuan
We propose Riemannian preconditioned algorithms for the tensor completion problem via tensor ring decomposition. A new Riemannian metric is developed on the product space of the mo…