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Source localization and radio cartography using multi-way representation of spectrum is the subject of study in this paper. A joint matrix factorization and tensor decomposition problem is proposed and solved using an iterative algorithm.…

Information Theory · Computer Science 2019-05-13 Mohsen Joneidi , Nazanin Rahnavard

Ensuring the stability of power systems is gaining more attraction today than ever before, due to the rapid growth of uncertainties in load and renewable energy penetration. Lately, wide area measurement system-based centralized controlling…

Systems and Control · Electrical Eng. & Systems 2020-01-23 Yousaf Hashmy , Zhe Yu , Di Shi , Yang Weng

Mechanical systems exhibit complex dynamical behavior from harmonic oscillations to chaotic motion. The dynamics undergo qualitative changes due to changes to internal system parameters like stiffness and changes to external forcing.…

Chaotic Dynamics · Physics 2024-12-06 Manish Yadav , Swati Chauhan , Manish Dev Shrimali , Merten Stender

In this paper we present a new robust sound source localization and tracking method using an array of eight microphones (US patent pending) . The method uses a steered beamformer based on the reliability-weighted phase transform (RWPHAT)…

Robotics · Computer Science 2016-04-07 Jean-Marc Valin , François Michaud , Jean Rouat

High-dimensional tensors or multi-way data are becoming prevalent in areas such as biomedical imaging, chemometrics, networking and bibliometrics. Traditional approaches to finding lower dimensional representations of tensor data include…

Machine Learning · Statistics 2012-02-14 Genevera I. Allen

Recovering a low-rank matrix from highly corrupted measurements arises in compressed sensing of structured high-dimensional signals (e.g., videos and hyperspectral images among others). Robust principal component analysis (RPCA), solved via…

Optimization and Control · Mathematics 2022-06-28 Vahan Hovhannisyan , Yannis Panagakis , Panos Parpas , Stefanos Zafeiriou

The present paper develops recursive algorithms to track shifts in the resonance frequency of linear systems in real time. To date, automatic resonance tracking has been limited to non-model-based approaches, which rely solely on the phase…

Optimization and Control · Mathematics 2020-12-22 Thomas Vasileiou

A deep reinforcement learning approach is applied, for the first time, to solve the routing, modulation, spectrum and core allocation (RMSCA) problem in dynamic multicore fiber elastic optical networks (MCF-EONs). To do so, a new…

Robust principal component analysis (RPCA) has been widely used for recovering low-rank matrices in many data mining and machine learning problems. It separates a data matrix into a low-rank part and a sparse part. The convex approach has…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Chong Peng , Zhao Kang , Qiang Chen

There is an emerging need for efficient solutions to stochastic AC Optimal Power Flow ({AC-}OPF) to ensure optimal and reliable grid operations in the presence of increasing demand and generation uncertainty. This paper presents a highly…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Ilyes Mezghani , Sidhant Misra , Deepjyoti Deka

We consider the acoustic source imaging problems using multiple frequency data. Using the data of one observation direction/point, we prove that some information (size and location) of the source support can be recovered. A non-iterative…

Analysis of PDEs · Mathematics 2017-12-08 Ala Alzaalig , Guanghui Hu , Xiaodong Liu , Jiguang Sun

This work studies distributed compression for the uplink of a cloud radio access network where multiple multi-antenna base stations (BSs) are connected to a central unit, also referred to as cloud decoder, via capacity-constrained backhaul…

Information Theory · Computer Science 2012-06-19 Seok-Hwan Park , Osvaldo Simeone , Onur Sahin , Shlomo Shamai

The operating status of power systems is influenced by growing varieties of factors, resulting from the developing sizes and complexity of power systems; in this situation, the modelbased methods need be revisited. A data-driven method, as…

Methodology · Statistics 2016-07-07 Xinyi Xu , Xing He , Qian Ai , Robert C. Qiu

Previous versions of sparse principal component analysis (PCA) have presumed that the eigen-basis (a $p \times k$ matrix) is approximately sparse. We propose a method that presumes the $p \times k$ matrix becomes approximately sparse after…

Machine Learning · Statistics 2023-08-07 Fan Chen , Karl Rohe

This paper delivers improved theoretical guarantees for the convex programming approach in low-rank matrix estimation, in the presence of (1) random noise, (2) gross sparse outliers, and (3) missing data. This problem, often dubbed as…

Machine Learning · Statistics 2022-09-13 Yuxin Chen , Jianqing Fan , Cong Ma , Yuling Yan

In our work, we examine, for the first time, the possibility of fast and efficient source localization directly from the uvobservations, omitting the recovering of the dirty or clean images. We propose a deep neural network-based framework…

Instrumentation and Methods for Astrophysics · Physics 2023-06-21 O. Taran , O. Bait , M. Dessauges-Zavadsky , T. Holotyak , D. Schaerer , S. Voloshynovskiy

Robust Principal Component Analysis (RPCA) is a widely used method for recovering low-rank structure from data matrices corrupted by significant and sparse outliers. These corruptions may arise from occlusions, malicious tampering, or other…

Methodology · Statistics 2023-10-31 Xiaojun Zheng , Simon Mak , Liyan Xie , Yao Xie

Tensor Robust Principal Component Analysis (TRPCA) is a fundamental technique for decomposing multi-dimensional data into a low-rank tensor and an outlier tensor, yet existing methods relying on sparse outlier assumptions often fail under…

Numerical Analysis · Mathematics 2025-04-28 Yangyang Xu , Kexin Li , Li Yang , You-Wei Wen

We consider the problem of self-localization by a resource-constrained mobile node given perturbed anchor position information and distance estimates from the anchor nodes. We consider normally-distributed noise in anchor position…

Information Theory · Computer Science 2017-11-07 Vikram Kumar , Reza Arablouei , Raja Jurdak , Branislav Kusy , Neil W. Bergmann

In this paper, we study the MUltiple SIgnal Classification (MUSIC) algorithm often used to image small targets when multiple measurement vectors are available. We show that this algorithm may be used when the imaging problem can be cast as…

Numerical Analysis · Mathematics 2019-01-23 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka
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