Learned robust PCA: A scalable deep unfolding approach for high-dimensional outlier detection

HQ Cai, J Liu, W Yin - Advances in Neural Information …, 2021 - proceedings.neurips.cc
Robust principal component analysis (RPCA) is a critical tool in modern machine learning,
which detects outliers in the task of low-rank matrix reconstruction. In this paper, we propose …

Robust CUR decomposition: Theory and imaging applications

HQ Cai, K Hamm, L Huang, D Needell - SIAM Journal on Imaging Sciences, 2021 - SIAM
This paper considers the use of robust principal component analysis (RPCA) in a CUR
decomposition framework and applications thereof. Our main algorithms produce a robust …

Laplacian convolutional representation for traffic time series imputation

X Chen, Z Cheng, HQ Cai, N Saunier… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Spatiotemporal traffic data imputation is of great significance in intelligent transportation
systems and data-driven decision-making processes. To perform efficient learning and …

Rapid robust principal component analysis: CUR accelerated inexact low rank estimation

HQ Cai, K Hamm, L Huang, J Li… - IEEE Signal Processing …, 2020 - ieeexplore.ieee.org
Robust principal component analysis (RPCA) is a widely used tool for dimension reduction.
In this work, we propose a novel non-convex algorithm, coined Iterated Robust CUR …

Exponential signal reconstruction with deep Hankel matrix factorization

Y Huang, J Zhao, Z Wang, V Orekhov… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Exponential function is a basic form of temporal signals, and how to fast acquire this signal is
one of the fundamental problems and frontiers in signal processing. To achieve this goal …

Fast robust tensor principal component analysis via fiber CUR decomposition

HQ Cai, Z Chao, L Huang… - Proceedings of the IEEE …, 2021 - openaccess.thecvf.com
We study the problem of tensor robust principal component analysis (TRPCA), that aims to
separate an underlying low-multilinear-rank tensor and a sparse outlier tensor from their …

Robust Tensor CUR Decompositions: Rapid Low-Tucker-Rank Tensor Recovery with Sparse Corruptions

HQ Cai, Z Chao, L Huang, D Needell - SIAM Journal on Imaging Sciences, 2024 - SIAM
We study the tensor robust principal component analysis (TRPCA) problem, a tensorial
extension of matrix robust principal component analysis, which aims to split the given tensor …

Super-resolution direction of arrival estimation using a minimum mean-square error framework

Y Wu, A Jakobsson, L Liu - Signal Processing, 2023 - Elsevier
This paper develops a novel sparse direction-of-arrival (DOA) estimation technique that
avoids the common requirement of hyperparameters, which are typically difficult to set …

[HTML][HTML] Gridless sparse covariance-based beamforming via alternating projections including co-prime arrays

Y Park, P Gerstoft - The Journal of the Acoustical Society of America, 2022 - pubs.aip.org
This paper presents gridless sparse processing for direction-of-arrival (DOA) estimation. The
method solves a gridless version of sparse covariance-based estimation using alternating …

Riemannian CUR decompositions for robust principal component analysis

K Hamm, M Meskini, HQ Cai - Topological, Algebraic and …, 2022 - proceedings.mlr.press
Abstract Robust Principal Component Analysis (PCA) has received massive attention in
recent years. It aims to recover a low-rank matrix and a sparse matrix from their sum. This …