2 papers
math.OC2025
Adaptive Stochastic Gradient Descents on Manifolds with an Application on Weighted Low-Rank Approximation
Peiqi Yang, Conglong Xu, Hao Wu
We prove a convergence theorem for stochastic gradient descents on manifolds with adaptive learning rate and apply it to the weighted low-rank approximation problem.
math.OC2025
Weighted Low-rank Approximation via Stochastic Gradient Descent on Manifolds
Conglong Xu, Peiqi Yang, Hao Wu
We solve a regularized weighted low-rank approximation problem by a stochastic gradient descent on a manifold. To guarantee the convergence of our stochastic gradient descent, we e…