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20172026
most citedA Brief Introduction to Manifold Optimization

2 citations · 5 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.OC2026

A Retraction-Free EXTRA Method for Decentralized Optimization on the Stiefel Manifold

Shu Li, Jiang Hu

Decentralized optimization provides a fundamental framework for large-scale learning and signal processing with distributed data. We study decentralized optimization with orthogona…

math.OC2025

An efficient primal dual semismooth Newton method for semidefinite programming

Zhanwang Deng, Jiang Hu, Kangkang Deng +1

In this paper, we present an efficient semismooth Newton method, named SSNCP, for solving a class of semidefinite programming problems. Our approach is rooted in an equivalent semi…

math.OC20231 cited

Decentralized Douglas-Rachford splitting methods for smooth optimization over compact submanifolds

Kangkang Deng, Jiang Hu, Hongxia Wang

We study decentralized smooth optimization problems over compact submanifolds. Recasting it as a composite optimization problem, we propose a decentralized Douglas-Rachford splitti…

math.OC20192 cited

A Brief Introduction to Manifold Optimization

Jiang Hu, Xin Liu, Zaiwen Wen +1

Manifold optimization is ubiquitous in computational and applied mathematics, statistics, engineering, machine learning, physics, chemistry and etc. One of the main challenges usua…

math.OC2018

Structured Quasi-Newton Methods for Optimization with Orthogonality Constraints

Jiang Hu, Bo Jiang, Lin Lin +2

In this paper, we study structured quasi-Newton methods for optimization problems with orthogonality constraints. Note that the Riemannian Hessian of the objective function require…

math.OC20172 cited

Adaptive Regularized Newton Method for Riemannian Optimization

Jiang Hu, Andre Milzarek, Zaiwen Wen +1

Optimization on Riemannian manifolds widely arises in eigenvalue computation, density functional theory, Bose-Einstein condensates, low rank nearest correlation, image registration…