activity
20192026
most citedAn Analysis of Stochastic Variance Reduced Gradient for Linear Inverse Problems

6 citations · 11 across the 6 of their papers we have counts for

collaborators

7 papers

math.NA2026

On the convergence of doubly stochastic block gradient descent method for linear inverse problems

Yuxin Xia, Zehui Zhou

Stochastic gradient descent (SGD) and randomized block coordinate descent (RBCD) belong to two fundamentally different classes of stochastic iterative regularization methods, and a…

math.NA2025

On the convergence of stochastic variance reduced gradient for linear inverse problems

Bangti Jin, Zehui Zhou

Stochastic variance reduced gradient (SVRG) is an accelerated version of stochastic gradient descent based on variance reduction, and is promising for solving large-scale inverse p…

math.NA2024

On the Convergence of A Data-Driven Regularized Stochastic Gradient Descent for Nonlinear Ill-Posed Problems

Zehui Zhou

Stochastic gradient descent (SGD) is a promising method for solving large-scale inverse problems, due to its excellent scalability with respect to data size. In this work, we analy…

math.NA2023

On the Approximation of Bi-Lipschitz Maps by Invertible Neural Networks

Bangti Jin, Zehui Zhou, Jun Zou

Invertible neural networks (INNs) represent an important class of deep neural network architectures that have been widely used in several applications. The universal approximation…

math.NA2021★ 6 cited

An Analysis of Stochastic Variance Reduced Gradient for Linear Inverse Problems

Bangti Jin, Zehui Zhou, Jun Zou

Stochastic variance reduced gradient (SVRG) is a popular variance reduction technique for accelerating stochastic gradient descent (SGD). We provide a first analysis of the method…

math.OC2020

On the Saturation Phenomenon of Stochastic Gradient Descent for Linear Inverse Problems

Bangti Jin, Zehui Zhou, Jun Zou

Stochastic gradient descent (SGD) is a promising method for solving large-scale inverse problems, due to its excellent scalability with respect to data size. The current mathematic…

math.OC2019★ 5 cited

On the Convergence of Stochastic Gradient Descent for Nonlinear Ill-Posed Problems

Bangti Jin, Zehui Zhou, Jun Zou

In this work, we analyze the regularizing property of the stochastic gradient descent for the efficient numerical solution of a class of nonlinear ill-posed inverse problems in Hil…