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09/16/2023
Solving Quadratic Systems with Full-Rank Matrices Using Sparse or Generative Priors
The problem of recovering a signal x∈ℝ^n from a quadratic system {y_i=x^...
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08/30/2023
A Parameter-Free Two-Bit Covariance Estimator with Improved Operator Norm Error Rate
A covariance matrix estimator using two bits per entry was recently deve...
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02/22/2023
Quantized Low-Rank Multivariate Regression with Random Dithering
Low-rank multivariate regression (LRMR) is an important statistical lear...
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02/08/2023
Block Diagonalization of Quaternion Circulant Matrices with Applications to Quaternion Tensor Singular Value Decomposition
It is well-known that a complex circulant matrix can be diagonalized by ...
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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...
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12/01/2022
Low-Rank Tensor Function Representation for Multi-Dimensional Data Recovery
Since higher-order tensors are naturally suitable for representing multi...
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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...
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11/05/2022
Stochastic Variance Reduced Gradient for affine rank minimization problem
We develop an efficient stochastic variance reduced gradient descent alg...
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10/12/2022
A Momentum Accelerated Adaptive Cubic Regularization Method for Nonconvex Optimization
The cubic regularization method (CR) and its adaptive version (ARC) are ...
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09/27/2022
Approximate Secular Equations for the Cubic Regularization Subproblem
The cubic regularization method (CR) is a popular algorithm for unconstr...
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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...
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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...
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08/17/2022
Sparse Nonnegative Tucker Decomposition and Completion under Noisy Observations
Tensor decomposition is a powerful tool for extracting physically meanin...
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07/28/2022
Separable Quaternion Matrix Factorization for Polarization Images
Polarization is a unique characteristic of transverse wave and is repres...
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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...
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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...
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04/01/2022
Deep neural networks for solving extremely large linear systems
In this paper, we study deep neural networks for solving extremely large...
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02/26/2022
High Dimensional Statistical Estimation under One-bit Quantization
Compared with data with high precision, one-bit (binary) data are prefer...
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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...
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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...
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09/18/2021
FastHyMix: Fast and Parameter-free Hyperspectral Image Mixed Noise Removal
Hyperspectral imaging with high spectral resolution plays an important r...
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09/02/2021
Co-Separable Nonnegative Matrix Factorization
Nonnegative matrix factorization (NMF) is a popular model in the field o...
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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...
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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...
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03/18/2021
Approximation for Probability Distributions by Wasserstein GAN
In this paper, we show that the approximation for distributions by Wasse...
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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...
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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...
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12/30/2020
Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices
Quaternion matrices are employed successfully in many color image proces...
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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 ...
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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...
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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...
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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...
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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...
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07/21/2020
Sparse Nonnegative Tensor Factorization and Completion with Noisy Observations
In this paper, we study the sparse nonnegative tensor factorization and ...
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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...
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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...
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03/23/2020
Fast Alternating Projections on Manifolds Based on Tangent Spaces
In this paper, we study alternating projections on nontangential manifol...
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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...
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02/02/2020
Singular Vectors From Singular Values
In the recent paper <cit.>, Denton et al. provided the eigenvector-eigen...
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10/21/2019
Orthogonal Nonnegative Tucker Decomposition
In this paper, we study the nonnegative tensor data and propose an ortho...
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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...
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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...
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07/02/2019
Robust Tensor Completion Using Transformed Tensor SVD
In this paper, we study robust tensor completion by using transformed te...
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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...
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08/02/2017
Exact Tensor Completion from Sparsely Corrupted Observations via Convex Optimization
This paper conducts a rigorous analysis for provable estimation of multi...
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01/16/2017