activity
20172023
most citedBetween hard and soft thresholding: optimal iterative thresholding algorithms

9 citations · 22 across the 10 of their papers we have counts for

collaborators

11 papers

cs.LG2023★ 6 cited

Towards Trustworthy and Aligned Machine Learning: A Data-centric Survey with Causality Perspectives

Haoyang Liu, Maheep Chaudhary, Haohan Wang

The trustworthiness of machine learning has emerged as a critical topic in the field, encompassing various applications and research areas such as robustness, security, interpretab…

math.OC2022

Augmented Lagrangian Methods for Time-varying Constrained Online Convex Optimization

Haoyang Liu, Xiantao Xiao, Liwei Zhang

In this paper, we consider online convex optimization (OCO) with time-varying loss and constraint functions. Specifically, the decision maker chooses sequential decisions based onl…

math.OC2022

Regrets of Proximal Method of Multipliers for Online Non-convex Optimization with Long Term Constraints

Liwei Zhang, Haoyang Liu, Xiantao Xiao

The online optimization problem with non-convex loss functions over a closed convex set, coupled with a set of inequality (possibly non-convex) constraints is a challenging online…

math.OC2021★ 1 cited

A Decomposition Augmented Lagrangian Method for Low-rank Semidefinite Programming

Yifei Wang, Kangkang Deng, Haoyang Liu +1

We develop a decomposition method based on the augmented Lagrangian framework to solve a broad family of semidefinite programming problems, possibly with nonlinear objective functi…

math.ST2019

Minimax rates in sparse, high-dimensional changepoint detection

Haoyang Liu, Chao Gao, Richard J. Samworth

We study the detection of a sparse change in a high-dimensional mean vector as a minimax testing problem. Our first main contribution is to derive the exact minimax testing rate ac…

stat.ML2019★ 3 cited

Exact high-dimensional asymptotics for Support Vector Machine

Haoyang Liu

The Support Vector Machine (SVM) is one of the most widely used classification methods. In this paper, we consider the soft-margin SVM used on data points with independent features…

math.OC2019

Low-rank Matrix Optimization Using Polynomial-filtered Subspace Extraction

Yongfeng Li, Haoyang Liu, Zaiwen Wen +1

In this paper, we study first-order methods on a large variety of low-rank matrix optimization problems, whose solutions only live in a low dimensional eigenspace. Traditional firs…

math.OC2018★ 2 cited

An equivalence between critical points for rank constraints versus low-rank factorizations

Wooseok Ha, Haoyang Liu, Rina Foygel Barber

Two common approaches in low-rank optimization problems are either working directly with a rank constraint on the matrix variable, or optimizing over a low-rank factorization so th…

stat.ME2018★ 9 cited

Between hard and soft thresholding: optimal iterative thresholding algorithms

Haoyang Liu, Rina Foygel Barber

Iterative thresholding algorithms seek to optimize a differentiable objective function over a sparsity or rank constraint by alternating between gradient steps that reduce the obje…

math.ST2017

Density Estimation with Contaminated Data: Minimax Rates and Theory of Adaptation

Haoyang Liu, Chao Gao

This paper studies density estimation under pointwise loss in the setting of contamination model. The goal is to estimate at some with i.i.d. observatio…

math.OC2017★ 1 cited

A Sparse Completely Positive Relaxation of the Modularity Maximization for Community Detection

Junyu Zhang, Haoyang Liu, Zaiwen Wen +1

In this paper, we consider the community detection problem under either the stochastic block model (SBM) assumption or the degree-correlated stochastic block model (DCSBM) assumpti…