b'Michael K. Ng'

research

∙ 12/30/2022

Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax Rates, Covariate Quantization, and Uniform Recovery

This paper studies the quantization of heavy-tailed data in some fundame...

Junren Chen, et al. ∙

research

∙ 12/01/2022

Low-Rank Tensor Function Representation for Multi-Dimensional Data Recovery

Since higher-order tensors are naturally suitable for representing multi...

Yisi Luo, et al. ∙

research

∙ 11/16/2022

SVD-PINNs: Transfer Learning of Physics-Informed Neural Networks via Singular Value Decomposition

Physics-informed neural networks (PINNs) have attracted significant atte...

Yihang Gao, et al. ∙

research

∙ 11/05/2022

Stochastic Variance Reduced Gradient for affine rank minimization problem

We develop an efficient stochastic variance reduced gradient descent alg...

Ningning Han, et al. ∙

research

∙ 10/12/2022

A Momentum Accelerated Adaptive Cubic Regularization Method for Nonconvex Optimization

The cubic regularization method (CR) and its adaptive version (ARC) are ...

Yihang Gao, et al. ∙

research

∙ 09/27/2022

Approximate Secular Equations for the Cubic Regularization Subproblem

The cubic regularization method (CR) is a popular algorithm for unconstr...

Yihang Gao, et al. ∙

research

∙ 09/26/2022

Uniform Exact Reconstruction of Sparse Signals and Low-rank Matrices from Phase-Only Measurements

The reconstruction of low-complexity, particularly sparse signal from ph...

Junren Chen, et al. ∙

research

∙ 08/19/2022

Expressing Multivariate Time Series as Graphs with Time Series Attention Transformer

A reliable and efficient representation of multivariate time series is c...

William T. Ng, et al. ∙

research

∙ 08/17/2022

Sparse Nonnegative Tucker Decomposition and Completion under Noisy Observations

Tensor decomposition is a powerful tool for extracting physically meanin...

Xiongjun Zhang, et al. ∙

research

∙ 07/28/2022

Separable Quaternion Matrix Factorization for Polarization Images

Polarization is a unique characteristic of transverse wave and is repres...

Junjun Pan, et al. ∙

research

∙ 05/27/2022

Error Bound of Empirical ℓ_2 Risk Minimization for Noisy Standard and Generalized Phase Retrieval Problems

A noisy generalized phase retrieval (NGPR) problem refers to a problem o...

Junren Chen, et al. ∙

research

∙ 05/23/2022

HessianFR: An Efficient Hessian-based Follow-the-Ridge Algorithm for Minimax Optimization

Wide applications of differentiable two-player sequential games (e.g., i...

Yihang Gao, et al. ∙

research

∙ 04/01/2022

Deep neural networks for solving extremely large linear systems

In this paper, we study deep neural networks for solving extremely large...

Yiqi Gu, et al. ∙

research

∙ 02/26/2022

High Dimensional Statistical Estimation under One-bit Quantization

Compared with data with high precision, one-bit (binary) data are prefer...

Junren Chen, et al. ∙

research

∙ 02/04/2022

Color Image Inpainting via Robust Pure Quaternion Matrix Completion: Error Bound and Weighted Loss

In this paper, we study color image inpainting as a pure quaternion matr...

Junren Chen, et al. ∙

research

∙ 11/25/2021

Morphological feature visualization of Alzheimer's disease via Multidirectional Perception GAN

The diagnosis of early stages of Alzheimer's disease (AD) is essential f...

Wen Yu, et al. ∙

research

∙ 09/18/2021

FastHyMix: Fast and Parameter-free Hyperspectral Image Mixed Noise Removal

Hyperspectral imaging with high spectral resolution plays an important r...

Lina Zhuang, et al. ∙

research

∙ 09/02/2021

Co-Separable Nonnegative Matrix Factorization

Nonnegative matrix factorization (NMF) is a popular model in the field o...

Junjun Pan, et al. ∙

research

∙ 08/30/2021

Wasserstein Generative Adversarial Uncertainty Quantification in Physics-Informed Neural Networks

In this paper, we study a physics-informed algorithm for Wasserstein Gen...

Yihang Gao, et al. ∙

research

∙ 05/29/2021

Self-Supervised Nonlinear Transform-Based Tensor Nuclear Norm for Multi-Dimensional Image Recovery

In this paper, we study multi-dimensional image recovery. Recently, tran...

Yi-Si Luo, et al. ∙

research

∙ 03/18/2021

Approximation for Probability Distributions by Wasserstein GAN

In this paper, we show that the approximation for distributions by Wasse...

Yihang Gao, et al. ∙

research

∙ 02/02/2021

Spectral analysis for preconditioning of multi-dimensional Riesz fractional diffusion equations

In this paper, we analyze the spectra of the preconditioned matrices ari...

Xin Huang, et al. ∙

research

∙ 01/31/2021

A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel

In this paper, we study a parallel-in-time (PinT) algorithm for all-at-o...

Xue-lei Lin, et al. ∙

research

∙ 12/30/2020

Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices

Quaternion matrices are employed successfully in many color image proces...

Guangjing Song, et al. ∙

research

∙ 12/16/2020

On O( max{n_1, n_2 }log ( max{ n_1, n_2 } n_3) ) Sample Entries for n_1 × n_2 × n_3 Tensor Completion via Unitary Transformation

One of the key problems in tensor completion is the number of uniformly ...

Guang-Jing Song, et al. ∙

research

∙ 11/17/2020

Non-Local Robust Quaternion Matrix Completion for Large-Scale Color Images and Videos Inpainting

The image nonlocal self-similarity (NSS) prior refers to the fact that a...

Zhigang Jia, et al. ∙

research

∙ 09/02/2020

Tangent Space Based Alternating Projections for Nonnegative Low Rank Matrix Approximation

In this paper, we develop a new alternating projection method to compute...

Guangjing Song, et al. ∙

research

∙ 08/03/2020

Tensorizing GAN with High-Order Pooling for Alzheimer's Disease Assessment

It is of great significance to apply deep learning for the early diagnos...

Wen Yu, et al. ∙

research

∙ 07/28/2020

Nonnegative Low Rank Tensor Approximation and its Application to Multi-dimensional Images

The main aim of this paper is to develop a new algorithm for computing N...

Tai-Xiang Jiang, et al. ∙

research

∙ 07/21/2020

Sparse Nonnegative Tensor Factorization and Completion with Noisy Observations

In this paper, we study the sparse nonnegative tensor factorization and ...

Xiongjun Zhang, et al. ∙

research

∙ 04/29/2020

Tensor train rank minimization with nonlocal self-similarity for tensor completion

The tensor train (TT) rank has received increasing attention in tensor c...

Meng Ding, et al. ∙

research

∙ 04/05/2020

New Formulation and Computation for Generalized Singular Values of Grassman Matrix Pair

In this paper, we derive new model formulations for computing generalize...

Wei-Wei Xu, et al. ∙

research

∙ 03/23/2020

Fast Alternating Projections on Manifolds Based on Tangent Spaces

In this paper, we study alternating projections on nontangential manifol...

Guangjing Song, et al. ∙

research

∙ 02/10/2020

Fast and High-order Accuracy Numerical Methods for Time-Dependent Nonlocal Problems in R^2

In this paper, we study the Crank-Nicolson method for temporal dimension...

Rongjun Cao, et al. ∙

research

∙ 02/02/2020

Singular Vectors From Singular Values

In the recent paper <cit.>, Denton et al. provided the eigenvector-eigen...

Weiwei Xu, et al. ∙

research

∙ 10/21/2019

Orthogonal Nonnegative Tucker Decomposition

In this paper, we study the nonnegative tensor data and propose an ortho...

Junjun Pan, et al. ∙

research

∙ 10/18/2019

Bilinear Constraint based ADMM for Mixed Poisson-Gaussian Noise Removal

In this paper, we propose new operator-splitting algorithms for the tota...

Jie Zhang, et al. ∙

research

∙ 09/16/2019

Framelet Representation of Tensor Nuclear Norm for Third-Order Tensor Completion

The main aim of this paper is to develop a framelet representation of th...

Tai-Xiang Jiang, et al. ∙

research

∙ 07/02/2019

Robust Tensor Completion Using Transformed Tensor SVD

In this paper, we study robust tensor completion by using transformed te...

Guangjing Song, et al. ∙

research

∙ 12/28/2017

Parallel Active Subspace Decomposition for Scalable and Efficient Tensor Robust Principal Component Analysis

Tensor robust principal component analysis (TRPCA) has received a substa...

Jonathan Q. Jiang, et al. ∙

research

∙ 08/02/2017

Exact Tensor Completion from Sparsely Corrupted Observations via Convex Optimization

This paper conducts a rigorous analysis for provable estimation of multi...

Jonathan Q. Jiang, et al. ∙

research

∙ 01/16/2017

Sparse Kernel Canonical Correlation Analysis via ℓ_1-regularization

Canonical correlation analysis (CCA) is a multivariate statistical techn...

Xiaowei Zhang, et al. ∙

Michael K. Ng

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