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We propose a generative model for robust tensor factorization in the presence of both missing data and outliers. The objective is to explicitly infer the underlying low-CP-rank tensor capturing the global information and a sparse tensor…

计算机视觉与模式识别 · 计算机科学 2016-06-21 Qibin Zhao , Guoxu Zhou , Liqing Zhang , Andrzej Cichocki , Shun-ichi Amari

Flexible-antenna systems, which use a small number of radio frequency (RF) chains to dynamically access a large set of candidate antenna locations, have emerged as a hardware-efficient architecture for 6G networks. Acquiring accurate…

信号处理 · 电气工程与系统科学 2026-05-01 Ruoxiao Cao , Wentao Yu , Zixin Wang , Shenghui Song , Jun Zhang , Yi Gong , Khaled B. Letaief

Regularized variants of Principal Components Analysis, especially Sparse PCA and Functional PCA, are among the most useful tools for the analysis of complex high-dimensional data. Many examples of massive data, have both sparse and…

机器学习 · 统计学 2019-08-21 Genevera I. Allen , Michael Weylandt

Probabilistic principal component analysis (PPCA) seeks a low dimensional representation of a data set in the presence of independent spherical Gaussian noise. The maximum likelihood solution for the model is an eigenvalue problem on the…

机器学习 · 计算机科学 2012-06-22 Alfredo Kalaitzis , Neil Lawrence

Spatially localized oscillations in periodically forced systems are intriguing phenomena. They may occur in spatially homogeneous media (oscillons), but quite often emerge in heterogeneous media, such as the auditory system, where localized…

斑图形成与孤子 · 物理学 2020-04-21 Yuval Edri , Ehud Meron , Arik Yochelis

In this paper, we propose novel deep learning based algorithms for multiple sound source localization. Specifically, we aim to find the 2D Cartesian coordinates of multiple sound sources in an enclosed environment by using multiple…

音频与语音处理 · 电气工程与系统科学 2020-12-11 Guillaume Le Moing , Phongtharin Vinayavekhin , Tadanobu Inoue , Jayakorn Vongkulbhisal , Asim Munawar , Ryuki Tachibana , Don Joven Agravante

Modeling complex dynamical systems under varying conditions is computationally intensive, often rendering high-fidelity simulations intractable. Although reduced-order models (ROMs) offer a promising solution, current methods often struggle…

机器学习 · 计算机科学 2026-01-16 Andrew F. Ilersich , Kevin Course , Prasanth B. Nair

We analyze a practical algorithm for sparse PCA on incomplete and noisy data under a general non-random sampling scheme. The algorithm is based on a semidefinite relaxation of the $\ell_1$-regularized PCA problem. We provide theoretical…

机器学习 · 统计学 2023-02-06 Hanbyul Lee , Qifan Song , Jean Honorio

This paper studies the Tensor Robust Principal Component (TRPCA) problem which extends the known Robust PCA (Candes et al. 2011) to the tensor case. Our model is based on a new tensor Singular Value Decomposition (t-SVD) (Kilmer and Martin…

计算机视觉与模式识别 · 计算机科学 2018-05-29 Canyi Lu , Jiashi Feng , Yudong Chen , Wei Liu , Zhouchen Lin , Shuicheng Yan

Seismic data noise processing is an important part of seismic exploration data processing, and the effect of noise elimination is directly related to the follow-up processing of data. In response to this problem, many authors have proposed…

地球物理 · 物理学 2024-10-28 Junheng Peng , Yong Li , Zhangquan Liao , Xuben Wang , Xingyu Yang

This paper studies the problem of exact localization of sparse (point or extended) objects with noisy data. The crux of the proposed approach consists of random illumination. Several recovery methods are analyzed: the Lasso, BPDN and the…

信息论 · 计算机科学 2015-05-19 Albert Fannjiang

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

机器学习 · 统计学 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

This paper presents a non-cooperative source localization approach based on received signal strength (RSS) and 2D environment map, considering both line-of-sight (LOS) and non-line-of-sight (NLOS) conditions. Conventional localization…

信号处理 · 电气工程与系统科学 2025-06-11 Hao Sun , Weiming Huang , Xianghao Yu , Junting Chen

Wide-area synchrophasor ambient measurements provide a valuable data source for real-time oscillation mode monitoring and analysis. This paper introduces a novel method for identifying inter-area oscillation modes using wide-area ambient…

信号处理 · 电气工程与系统科学 2021-03-03 Shutang You

Source localization techniques incorporating hybrid measurements improve the reliability and accuracy of the location estimate. Given a set of hybrid sensors that can collect combined time of arrival (TOA), received signal strength (RSS)…

信号处理 · 电气工程与系统科学 2022-04-14 Kuntal Panwar , Ghania Fatima , Prabhu Babu

We present a data-driven method - heteroscedastic matrix factorization, a kind of probabilistic factor analysis - for modeling or performing dimensionality reduction on observed spectra or other high-dimensional data with known but…

宇宙学与河外天体物理 · 物理学 2015-06-03 P. Tsalmantza , David W. Hogg

Modern distributed cyber-physical systems encounter a large variety of anomalies and in many cases, they are vulnerable to catastrophic fault propagation scenarios due to strong connectivity among the sub-systems. In this regard, root-cause…

机器学习 · 计算机科学 2018-06-01 Chao Liu , Kin Gwn Lore , Soumik Sarkar

Locating sources of diffusion and spreading from minimum data is a significant problem in network science with great applied values to the society. However, a general theoretical framework dealing with optimal source localization is…

社会与信息网络 · 计算机科学 2017-03-16 Zhao-Long Hu , Xiao Han , Ying-Cheng Lai , Wen-Xu Wang

We investigate an inverse source problem of the time-harmonic elastic wave equation. Some novel sampling-type numerical schemes are proposed to identify the moment tensor point sources in the Lam\'e system from near-field measurements.…

数值分析 · 数学 2021-11-24 Xianchao Wang , Yukun Guo , Sara Bousba

We develop a method to reconstruct, from measured displacements of an underlying elastic substrate, the spatially dependent forces that cells or tissues impart on it. Given newly available high-resolution images of substrate displacements,…

定量方法 · 定量生物学 2018-01-22 Joshua C. Chang , Yanli Liu , Tom Chou
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