3 papers
math.OC2026
Adaptive Schauder Stochastic Mirror Descent in Banach Spaces
Jinhui Bai, Shuai Lu, Lei Shi
In this paper, we extend stochastic mirror descent (SMD) to infinite-dimensional Banach spaces for solving a class of risk functional minimization problems, where stochastic gradie…
cs.LG2025
Truncated Kernel Stochastic Gradient Descent with General Losses and Spherical Radial Basis Functions
Jinhui Bai, Andreas Christmann, Lei Shi
In this paper, we propose a novel kernel stochastic gradient descent (SGD) algorithm for large-scale supervised learning with general losses. Compared to traditional kernel SGD, ou…
cs.LG2024
Truncated Kernel Stochastic Gradient Descent on Spheres
Jinhui Bai, Lei Shi
Inspired by the structure of spherical harmonics, we propose the truncated kernel stochastic gradient descent (T-kernel SGD) algorithm with a least-square loss function for spheric…