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Tensor Decomposition for Signal Processing and Machine Learning

Nicholas D. Sidiropoulos, Lieven De Lathauwer, Xiao Fu, Kejun Huang, Evangelos E. Papalexakis, Christos Faloutsos
2017 IEEE Transactions on Signal Processing  
processing, statistics, data mining and machine learning.  ...  This overview article aims to provide a good starting point for researchers and practitioners interested in learning about and working with tensors.  ...  algorithms, and the basic ways in which tensor decompositions are used in signal processing and machine learning -and they are quite different.  ... 
doi:10.1109/tsp.2017.2690524 fatcat:lw54gmheezaehazy7kvn6qmmwa

IEEE Journal of Selected Topics in Signal Processing Special Issue on Tensor Decomposition for Signal Processing and Machine Learning

2020 IEEE Signal Processing Magazine  
The goal of this special issue is to attract high quality papers containing original research on tensor methods, tensor decompositions for signal processing and machine learning, and their applications  ...  Tensor decomposition has been applied in signal processing (speech, audio, communications, radar, biomedicine), machine learning (clustering, dimensionality reduction, latent factor models, subspace learning  ...  Submission Guidelines: Prospective authors should follow the instructions on the IEEE JSTSP webpage https://signalprocessingsociety.org/publications-resources/ieee-journal-selected-topics-signalprocessing and  ... 
doi:10.1109/msp.2020.2999174 fatcat:cqclqtmu35bxpjfvpptnab6qt4

Introduction to the Special Issue on Tensor Decomposition for Signal Processing and Machine Learning

Hongyang Chen, Sergiy A. Vorobyov, Hing Cheung So, Fauzia Ahmad, Fatih Porikli
2021 IEEE Journal on Selected Topics in Signal Processing  
Introduction to the Special Issue on Tensor Decomposition for Signal Processing and Machine Learning T ENSOR decomposition, also called tensor factorization, is useful for representing and analyzing multi-dimensional  ...  This special issue (SI) covers a broad array of research on tensor methods, tensor decompositions for signal processing and machine learning, and their applications in wireless communications, radar, biomedicine  ... 
doi:10.1109/jstsp.2021.3065184 fatcat:qbvihejwkfaa5hoztety77pnwi

YangX_TensorMethod.pdf

Xiu Yang
2017 Figshare  
Recently, tensor methods have been applied in signal/image processing and machine learning [3] . Dictionary learning is a relatively recent method in data analysis related to frame theory [4] .  ...  Recently, Google released a new processing unit -Tensor Processing Unit (TPU) -designed specifically for machine learning based on tensors.  ... 
doi:10.6084/m9.figshare.5318134.v1 fatcat:zn6mybypvjhnpjnjis555qnghe

Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions

Andrzej Cichocki, Namgil Lee, Ivan Oseledets, Anh-Huy Phan, Qibin Zhao, Danilo P. Mandic
2016 Foundations and Trends® in Machine Learning  
It is therefore timely and valuable for the multidisciplinary research community to review tensor decompositions and tensor networks as emerging tools for large-scale data analysis and data mining.  ...  Machine learning and data mining algorithms are becoming increasingly important in analyzing large volume, multi-relational and multi--modal datasets, which are often conveniently represented as multiway  ...  Papalexakis, and C. Faloutsos. Tensor decomposition for signal processing and machine learning. arXiv e-prints arXiv:1607.01668, 2016. A. Smilde, R. Bro, and P. Geladi.  ... 
doi:10.1561/2200000059 fatcat:ememscddezeovamsoqrcpp33z4

Decomposition Methods for Machine Learning with Small, Incomplete or Noisy Datasets

Cesar Federico Caiafa, Jordi Solé-Casals, Pere Marti-Puig, Sun Zhe, Toshihisa Tanaka
2020 Applied Sciences  
We show that a signal decomposition approach can provide valuable tools to improve machine learning performance with low quality datasets.  ...  In this article, we provide a unified review of recently proposed methods based on signal decomposition for missing features imputation (data completion), classification of noisy samples and artificial  ...  Acknowledgments: We are grateful to the anonymous reviewers for their valuable comments, which helped us to improve the first version of this manuscript.  ... 
doi:10.3390/app10238481 fatcat:2gqm3tos4vdorptqayewqu2mum

Table of Contents

2021 IEEE Journal on Selected Topics in Signal Processing  
Introduction to the Special Issue on Tensor Decomposition for Signal Processing and Machine Learning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  ...  Giampouras 464 Tensor Decomposition Learning for Compression of Multidimensional Signals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  ... 
doi:10.1109/jstsp.2021.3061240 fatcat:j3uioq5xh5hdxg2uitjqeszh3m

Tensor Decompositions in Deep Learning [article]

Davide Bacciu, Danilo P. Mandic
2020 arXiv   pre-print
The paper surveys the topic of tensor decompositions in modern machine learning applications. It focuses on three active research topics of significant relevance for the community.  ...  After a brief review of consolidated works on multi-way data analysis, we consider the use of tensor decompositions in compressing the parameter space of deep learning models.  ...  Section 3 reviews classical applications of tensor decompositions to multi-way signal processing and data analysis.  ... 
arXiv:2002.11835v1 fatcat:izu4qtizqbghhnaxlhisi2tnce

Spectral Learning on Matrices and Tensors

Majid Janzamin, Rong Ge, Jean Kossaifi, Anima Anandkumar
2019 Foundations and Trends® in Machine Learning  
Spectral methods have been the mainstay in several domains such as machine learning and scientific computing.  ...  This data pre-processing step is often effective in separating signal from noise. PCA and other spectral techniques applied to matrices have several limitations.  ...  More recently, Sidiropoulos et al. (2017) provide an overview of different types of tensor decompositions and some of their applications in signal processing and machine learning.  ... 
doi:10.1561/2200000057 fatcat:ps6zp5nbcfdpzdwe57fpc4xkta

Introduction to the Issue on Robust Subspace Learning and Tracking: Theory, Algorithms, and Applications

T. Bouwmans, N. Vaswani, P. Rodriguez, R. Vidal, Z. Lin
2018 IEEE Journal on Selected Topics in Signal Processing  
Many problems in signal processing and machine learning can be posed as the problem of learning lower dimensional representation of the data.  ...  Her research interests lie at the intersection of signal and information processing, machine learning for high dimensional problems, and computer vision.Paul Rodriguez is currently a Full Professor with  ... 
doi:10.1109/jstsp.2018.2879245 fatcat:z3ohqdl37nat3pjo65fzsf2ady

Noninvasive BCIs: Multiway Signal-Processing Array Decompositions

A. Cichocki, Y. Washizawa, T. Rutkowski, H. Bakardjian, Anh-Huy Phan, Seungjin Choi, Hyekyoung Lee, Qibin Zhao, Liqing Zhang, Yuanqing Li
2008 Computer  
and on signal-processing, machine-learning, and data-mining tools to analyze the data and extract useful information.  ...  Next, we need to optimize the measurement procedure and develop real-time signal-processing algorithms that decode and interpret the resulting brain signals.  ...  To tackle the complex challenge of electrophysiological signal analysis and discrimination, we need to employ advanced signal-processing, multidimensional data mining, and machine-learning tools and their  ... 
doi:10.1109/mc.2008.431 fatcat:auvhydbdcnagdehqhjbmxxgnnm

Canonical Polyadic Decomposition and Deep Learning for Machine Fault Detection [article]

Frusque Gaetan, Michau Gabriel, Fink Olga
2021 arXiv   pre-print
In this work, we propose a powerful data-driven and quasi non-parametric denoising strategy for spectral data based on a tensor decomposition: the Non-negative Canonical Polyadic (CP) decomposition.  ...  Acoustic monitoring for machine fault detection is a recent and expanding research path that has already provided promising results for industries.  ...  Deep learning based methods have recently shown remarkable performances for unsupervised detection problem (and more generally for audio signal processing (Purwins et al., 2019) ).  ... 
arXiv:2107.09519v1 fatcat:i65sea3hnjc57moy4neisqnttm

Fault Diagnosis of Air Compressor in Nuclear Power Plant Based on Vibration Observation Window

Qizhi Duan, Ruijie Lu, Hongyun Xie, Jialin Ping, Chao Lu, Xiaowei Zhou, Jie Gao, Jixue Li
2020 IEEE Access  
ACKNOWLEDGMENT We thank the great help from Southeast University and Beckhoff Automation in this research.  ...  For a classification process based on classical machine learning method, the first step is feature extraction.  ...  and classical machine learning.  ... 
doi:10.1109/access.2020.3043398 fatcat:fnorkx3xhvhvfcowfa72ev67iq

Tensor Computing for Internet of Things (Dagstuhl Perspectives Workshop 16152)

Evrim Acar, Animashree Anandkumar, Lenore Mullin, Sebnem Rusitschka, Volker Tresp, Michael Wagner
2018 Dagstuhl Manifestos  
The multidisciplinary discourse among academics, industrial researchers and practitioners in the IoT/CPS domain and in the field of machine learning and tensor methods, exposed open issues that need to  ...  The tools and frameworks used to engineer such systems will ensure production-ready machine learning code which utilizes tensor-based, hence better interpretable, models and runs on distributed, decentralized  ...  specifically for machine learning.  ... 
doi:10.4230/dagman.7.1.52 dblp:journals/dagstuhl-manifestos/AcarAMRT18 fatcat:5ngo2fzsefbh7e5a4odx4ttgne

mpnum: A matrix product representation library for Python

Daniel Suess, Milan Holzäpfel
2017 Journal of Open Source Software  
Tensors -or high-dimensional arrays -are ubiquitous in science and provide the foundation for numerous numerical algorithms in scientific computing, machine learning, signal processing, and other fields  ...  This has led to the development of sparse and low-rank tensor decompositions (Kolda and Bader 2009).  ...  QUCHIP, and the US Army Research Office Grant No.  ... 
doi:10.21105/joss.00465 fatcat:7wusapi7gjdpjnuzigkwszvi6a
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