6 citations · 10 across the 7 of their papers we have counts for
7 papers
MultiEarth 2022 -- The Champion Solution for the Matrix Completion Challenge via Multimodal Regression and Generation
Bo Peng, Hongchen Liu, Hang Zhou +2
Earth observation satellites have been continuously monitoring the earth environment for years at different locations and spectral bands with different modalities. Due to complex s…
A Dimension-Insensitive Algorithm for Stochastic Zeroth-Order Optimization
Hongcheng Liu, Yu Yang
This paper concerns a convex, stochastic zeroth-order optimization (S-ZOO) problem. The objective is to minimize the expectation of a cost function whose gradient is not directly a…
Learnable Descent Algorithm for Nonsmooth Nonconvex Image Reconstruction
Yunmei Chen, Hongcheng Liu, Xiaojing Ye +1
We propose a general learning based framework for solving nonsmooth and nonconvex image reconstruction problems. We model the regularization function as the composition of the $l_{…
A Novel Learnable Gradient Descent Type Algorithm for Non-convex Non-smooth Inverse Problems
Qingchao Zhang, Xiaojing Ye, Hongcheng Liu +1
Optimization algorithms for solving nonconvex inverse problem have attracted significant interests recently. However, existing methods require the nonconvex regularization to be sm…
Regularized Sample Average Approximation for High-Dimensional Stochastic Optimization Under Low-Rankness
Hongcheng Liu, Charles Hernandez, Hung Yi Lee
This paper concerns a high-dimensional stochastic programming problem of minimizing a function of expected cost with a matrix argument. To this problem, one of the most widely appl…
High-Dimensional Learning under ApproximateSparsity with Applications to Nonsmooth Estimation and Regularized Neural Networks
Hongcheng Liu, Yinyu Ye, Hung Yi Lee
High-dimensional statistical learning (HDSL) has wide applications in data analysis, operations research, and decision-making. Despite the availability of multiple theoretical fram…
Optimality condition and complexity analysis for linearly-constrained optimization without differentiability on the boundary
Gabriel Haeser, Hongcheng Liu, Yinyu Ye
In this paper we consider the minimization of a continuous function that is potentially not differentiable or not twice differentiable on the boundary of the feasible region. By ex…