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This paper considers the problem of identifying multivariate autoregressive (AR) sparse plus low-rank graphical models. Based on the corresponding problem formulation recently presented, we use the alternating direction method of…

Machine Learning · Computer Science 2015-03-31 Raphaël Liégeois , Bamdev Mishra , Mattia Zorzi , Rodolphe Sepulchre

Tensor completion refers to the task of estimating the missing data from an incomplete measurement or observation, which is a core problem frequently arising from the areas of big data analysis, computer vision, and network engineering. Due…

Machine Learning · Computer Science 2021-05-21 Chenjian Pan , Chen Ling , Hongjin He , Liqun Qi , Yanwei Xu

We study the problem of estimating a low-rank positive semidefinite (PSD) matrix from a set of rank-one measurements using sensing vectors composed of i.i.d. standard Gaussian entries, which are possibly corrupted by arbitrary outliers.…

Information Theory · Computer Science 2016-12-21 Yuanxin Li , Yue Sun , Yuejie Chi

Traditional synchrophasor measurement-based islanding detection techniques have primarily relied on voltage angle measurements and/or their derivatives for successfully detecting islands. However, relatively high instrumentation channel…

Systems and Control · Electrical Eng. & Systems 2019-09-11 Meghna Barkakati , Reetam Sen Biswas , Anamitra Pal

We propose a new and computationally efficient algorithm for maximizing the observed log-likelihood for a multivariate normal data matrix with missing values. We show that our procedure based on iteratively regressing the missing on the…

Methodology · Statistics 2012-11-21 Nicolas Städler , Daniel J. Stekhoven , Peter Bühlmann

We introduce a new, integrated approach to uncalibrated photometric stereo. We perform 3D reconstruction of Lambertian objects using multiple images produced by unknown, directional light sources. We show how to formulate a single…

Computer Vision and Pattern Recognition · Computer Science 2017-02-03 Soumyadip Sengupta , Hao Zhou , Walter Forkel , Ronen Basri , Tom Goldstein , David W. Jacobs

Purpose The proposed reconstruction framework addresses the reconstruction accuracy, noise propagation and computation time for Magnetic Resonance Fingerprinting (MRF). Methods Based on a singular value decomposition (SVD) of the signal…

Due to massive amounts of data distributed across multiple locations, distributed machine learning has attracted a lot of research interests. Alternating Direction Method of Multipliers (ADMM) is a powerful method of designing distributed…

Machine Learning · Computer Science 2020-12-10 Jiahao Ding , Xiaoqi Qin , Wenjun Xu , Yanmin Gong , Chi Zhang , Miao Pan

Due to the limited energy of sensor nodes in wireless sensor networks, extending the networks lifetime is a major challenge that can be formulated as an optimization problem. In this paper, we propose a distributed iterative algorithm based…

Networking and Internet Architecture · Computer Science 2018-07-31 Farzad Tashtarian , Ahmadreza Montazerolghaem , Amir Varasteh

In the fields of statistics, machine learning, image science, and related areas, there is an increasing demand for decentralized collection or storage of large-scale datasets, as well as distributed solution methods. To tackle this…

Optimization and Control · Mathematics 2024-01-17 Bowen Li , Bin Shi

This paper proposes a dual Riemannian alternating direction method of multipliers (ADMM) for solving low-rank semidefinite programs with unit diagonal constraints. We recast the ADMM subproblem as a Riemannian optimization problem over the…

Optimization and Control · Mathematics 2025-12-05 Jie Wang , Liangbing Hu , Bican Xia

This paper considers the phase retrieval (PR) problem, which aims to reconstruct a signal from phaseless measurements such as magnitude or power spectrograms. PR is generally handled as a minimization problem involving a quadratic loss.…

Sound · Computer Science 2022-08-17 Pierre-Hugo Vial , Paul Magron , Thomas Oberlin , Cédric Févotte

Matrix completion has important applications in trajectory recovery and mobile social networks. However, sending raw data containing personal, sensitive information to cloud computing nodes may lead to privacy exposure issue.The…

Cryptography and Security · Computer Science 2024-05-10 Jiahao Guo , An-Bao Xu

Millimeter Wave (mmWave) massive Multiple Input Multiple Output (MIMO) systems realizing directive beamforming require reliable estimation of the wireless propagation channel. However, mmWave channels are characterized by high variability…

Information Theory · Computer Science 2019-06-07 Evangelos Vlachos , George C. Alexandropoulos , John Thompson

The statistical characterization of the measurement errors of a phasor measurement unit (PMU) is currently receiving considerable interest in the power systems community. This paper focuses on the characteristics of the errors in magnitude…

Systems and Control · Electrical Eng. & Systems 2021-03-18 Demetra Salls , Jairo Ramírez Torres , Antos Cheeramban Varghese , John Patterson , Anamitra Pal

This work presents a new method for online selection of multiple penalty parameters for the alternating direction method of multipliers (ADMM) algorithm applied to optimization problems with multiple constraints or functionals with block…

Image and Video Processing · Electrical Eng. & Systems 2026-04-21 Luke Lozenski , Michael T. McCann , Brendt Wohlberg

In many applications such as medical imaging, the measurement data represent counts of photons hitting a detector. Such counts in low-photon settings are often modeled using a Poisson distribution. However, this model assumes that the mean…

Image and Video Processing · Electrical Eng. & Systems 2024-08-30 Yu Lu , Kevin Bui , Roummel F. Marcia

With the proposition to install a large number of phasor measurement units (PMUs) in the future power grid, it is essential to provide robust communications infrastructure for phasor data across the network. We make progress in this…

Information Theory · Computer Science 2015-01-05 K. G. Nagananda , Shalinee Kishore , Rick S. Blum

The alternating direction method of multipliers (ADMM) has been popular for solving many signal processing problems, convex or nonconvex. In this paper, we study an asynchronous implementation of the ADMM for solving a nonconvex nonsmooth…

Information Theory · Computer Science 2014-12-19 Mingyi Hong

Higher-order low-rank tensors naturally arise in many applications including hyperspectral data recovery, video inpainting, seismic data recon- struction, and so on. We propose a new model to recover a low-rank tensor by simultaneously…

Numerical Analysis · Computer Science 2015-07-07 Yangyang Xu , Ruru Hao , Wotao Yin , Zhixun Su