7 citations · 10 across the 10 of their papers we have counts for
11 papers
Partial Envelope for Optimization Problem with Nonconvex Constraints
Xiaoyin Hu, Xin Liu, Kim-Chuan Toh +1
In this paper, we consider the nonlinear constrained optimization problem (NCP) with constraint set , where is a closed convex subset…
A Hybrid Subgradient Method for Nonsmooth Nonconvex Bilevel Optimization
Nachuan Xiao, Xiaoyin Hu, Xin Liu +1
In this paper, we focus on the nonconvex-nonconvex bilevel optimization problem (BLO), where both upper-level and lower-level objectives are nonconvex, with the upper-level problem…
A Minimization Approach for Minimax Optimization with Coupled Constraints
Xiaoyin Hu, Kim-Chuan Toh, Shiwei Wang +1
In this paper, we focus on the nonconvex-strongly-concave minimax optimization problem (MCC), where the inner maximization subproblem contains constraints that couple the primal va…
Learning-rate-free Momentum SGD with Reshuffling Converges in Nonsmooth Nonconvex Optimization
Xiaoyin Hu, Nachuan Xiao, Xin Liu +1
In this paper, we propose a generalized framework for developing learning-rate-free momentum stochastic gradient descent (SGD) methods in the minimization of nonsmooth nonconvex fu…
Developing Lagrangian-based Methods for Nonsmooth Nonconvex Optimization
Nachuan Xiao, Kuangyu Ding, Xiaoyin Hu +1
In this paper, we consider the minimization of a nonsmooth nonconvex objective function over a closed convex subset of , with additional nonsmoot…
Stochastic Subgradient Methods with Guaranteed Global Stability in Nonsmooth Nonconvex Optimization
Nachuan Xiao, Xiaoyin Hu, Kim-Chuan Toh
In this paper, we focus on providing convergence guarantees for stochastic subgradient methods in minimizing nonsmooth nonconvex functions. We first investigate the global stabilit…
Adam-family Methods for Nonsmooth Optimization with Convergence Guarantees
Nachuan Xiao, Xiaoyin Hu, Xin Liu +1
In this paper, we present a comprehensive study on the convergence properties of Adam-family methods for nonsmooth optimization, especially in the training of nonsmooth neural netw…
CDOpt: A Python Package for a Class of Riemannian Optimization
Nachuan Xiao, Xiaoyin Hu, Xin Liu +1
Optimization over the embedded submanifold defined by constraints has attracted much interest over the past few decades due to its wide applications in various areas. Pl…
An Improved Unconstrained Approach for Bilevel Optimization
Xiaoyin Hu, Nachuan Xiao, Xin Liu +1
In this paper, we focus on the nonconvex-strongly-convex bilevel optimization problem (BLO). In this BLO, the objective function of the upper-level problem is nonconvex and possibl…
A Constraint Dissolving Approach for Nonsmooth Optimization over the Stiefel Manifold
Xiaoyin Hu, Nachuan Xiao, Xin Liu +1
This paper focus on the minimization of a possibly nonsmooth objective function over the Stiefel manifold. The existing approaches either lack efficiency or can only tackle prox-fr…
A Fast Exact Algorithm for Airplane Refueling Problem
Jianshu Li, Xiaoyin Hu, Junjie Luo +1
We consider the airplane refueling problem, where we have a fleet of airplanes that can refuel each other. Each airplane is characterized by specific fuel tank volume and fuel cons…