activity
20192026
most citedRelating lp regularization and reweighted l1 regularization

3 citations · 8 across the 9 of their papers we have counts for

collaborators

10 papers

math.OC2026

Stochastic Trust-Region Methods for Over-parameterized Models

Aike Yang, Hao Wang

Under interpolation-type assumptions such as the strong growth condition, stochastic optimization methods can attain convergence rates comparable to full-batch methods, but their p…

math.OC2026

Regularization for Sparse Optimization: Consistency and Global Convergence

Yaohua Hu, Hao Wang, Xiaoqi Yang

The regularization method has a strong sparsity promoting capability in approaching sparse solutions of linear inverse problems and gained successful applicatio…

math.OC2024

Alternating Iteratively Reweighted and Subspace Newton Algorithms for Nonconvex Sparse Optimization

Hao Wang, Xiangyu Yang, Yichen Zhu

This paper presents a novel hybrid algorithm for minimizing the sum of a continuously differentiable loss function and a nonsmooth, possibly nonconvex, sparse regularization functi…

math.OC2024★ 1 cited

Efficient Low-rank Identification via Accelerated Iteratively Reweighted Nuclear Norm Minimization

Hao Wang, Ye Wang, Xiangyu Yang

This paper considers the problem of minimizing the sum of a smooth function and the Schatten- norm of the matrix. Our contribution involves proposing accelerated iteratively rew…

math.OC2024

Avoiding strict saddle points of nonconvex regularized problems

Luwei Bai, Yaohua Hu, Hao Wang +1

In this paper, we consider a class of non-convex and non-smooth sparse optimization problems, which encompass most existing nonconvex sparsity-inducing terms. We show the second-or…

cs.LG2022

A Screening Strategy for Structured Optimization Involving Nonconvex Regularization

Tiange Li, Xiangyu Yang, Hao Wang

In this paper, we develop a simple yet effective screening rule strategy to improve the computational efficiency in solving structured optimization involving nonconvex …

math.OC2021★ 1 cited

An Iteratively Reweighted Method for Sparse Optimization on Nonconvex Ball

Hao Wang, Xiangyu Yang, Wei Jiang

This paper is intended to solve the nonconvex -ball constrained nonlinear optimization problems. An iteratively reweighted method is proposed, which solves a sequence of…

math.OC2021★ 1 cited

Minimization Over the Nonconvex Sparsity Constraint Using A Hybrid First-order method

Xiangyu Yang, Hao Wang, Yichen Zhu +1

We investigate a class of nonconvex optimization problems characterized by a feasible set consisting of level-bounded nonconvex regularizers, with a continuously differentiable obj…

math.OC2021★ 2 cited

Towards An Efficient Approach for the Nonconvex Ball Projection: Algorithm and Analysis

Xiangyu Yang, Jiashan Wang, Hao Wang

This paper primarily focuses on computing the Euclidean projection of a vector onto the ball in which . Such a problem emerges as the core building block in s…

math.OC2019★ 3 cited

Relating lp regularization and reweighted l1 regularization

Hao Wang, Hao Zeng, Jiashan Wang

We propose a general framework of iteratively reweighted l1 methods for solving lp regularization problems. We prove that after some iteration k, the iterates generated by the prop…