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Tensors play a central role in many modern machine learning and signal processing applications.
Three-way arrays: Rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
J. B. Kruskal · 1977
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Multi-way principal components-and PLS-analysis
Svante Wold, Paul Geladi, Kim Esbensen, and Jerker Öhman · 1987
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A decomposition for three-way arrays
SE Leurgans, RT Ross, and RB Abel · 1993
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Parallel Factor Analysis in Sensor Array Processing
N. D. Sidiropoulos, R. Bro, and G. B. Giannakis · 2000
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A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
Samuel Burer and Renato D.C. Monteiro · 2001
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Continuous multi-views tracking using tensor voting
Jinman Kang, I Cohen, and G Medioni · 2002
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Concurrent EEG/fMRI Analysis by Multiway Partial Least Squares
Eduardo Martı́nez-Montes, Pedro A Valdés-Sosa, Fumikazu Miwakeichi, Robin I Goldman, and Mark S Cohen · 2004
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Tensorial Extensions of Independent Component Analysis for Multisubject FMRI Analysis
C F Beckmann and S M Smith · 2005
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Error correction via linear programming
E. Candes, M. Rudelson, T. Tao, and R. Vershynin · 2005
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Context-Aware Collaborative Filtering System: Predicting the User’s Preference in the Ubiquitous Computing Environment
Annie Chen · 2005
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Multi-way Analysis: Applications in the Chemical Sciences
Age Smilde, Rasmus Bro, and Paul Geladi · 2005
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Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information
Emmanuel J Candès, J Romberg, and T Tao · 2006
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Beyond Streams and Graphs: Dynamic Tensor Analysis
Jimeng Sun, Dacheng Tao, and Christos Faloutsos · 2006
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Tensor methods for hyperspectral data analysis: a space object material identification study
Qiang Zhang, Han Wang, Robert J Plemmons, and V Paul Pauca · 2008
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Exact matrix completion via convex optimization
Emmanuel J Candès and Benjamin Recht · 2009
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Tensor decompositions and applications
T. G. Kolda and B. W. Bader · 2009
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MultiVis: Content-Based Social Network Exploration through Multi-way Visual Analysis
J Sun, S Papadimitriou, C Y Lin, N Cao, S Liu, and W Qian · 2009
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Matrix completion with noise
E.J. Candes and Y. Plan · 2010
Cited alongside, same era.
Multiverse recommendation: n-dimensional tensor factorization for context-aware collaborative filtering
Alexandros Karatzoglou, Xavier Amatriain, Linas Baltrunas, and Nuria Oliver · 2010
Cited alongside, same era.
Matrix completion from a few entries
Raghunandan H Keshavan, Andrea Montanari, and Sewoong Oh · 2010
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Multiarray Signal Processing: Tensor Decomposition Meets Compressed Sensing
Lek-Heng Lim and Pierre Comon · 2010
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Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
Benjamin Recht, Maryam Fazel, and Pablo A Parrilo · 2010
Cited alongside, same era.
Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming
Large Scale Tensor Decompositions: Algorithmic Developments and Applications
E Papalexakis, U Kang, C Faloutsos, and N Sidiropoulos · 2013
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Conditional gradient with enhancement and truncation for atomic-norm regularization
Nikhil Rao, Parikshit Shah, and Stephen Wright · 2013
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Multilinear multitask learning
Bernardino Romera-paredes, Hane Aung, Nadia Bianchi-berthouze, and Massimiliano Pontil · 2013
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Compressed Sensing Off the Grid
Gongguo Tang, B N Bhaskar, P Shah, and B Recht · 2013
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Analyzing Tensor Power Method Dynamics: Applications to Learning Overcomplete Latent Variable Models
Anima Anandkumar, Rong Ge, and Majid Janzamin · 2014
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Postive Low-Rank Tensor Completion
A. Aswani · 2014
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Emmanuel J. Candès, Thomas Strohmer, and Vladislav Voroninski · 2011
Cited alongside, same era.
A simpler approach to matrix completion
Benjamin Recht · 2011
Cited alongside, same era.
Estimation of low-rank tensors via convex optimization
R. Tomioka, K. Hayashi, and H. Kashima · 2011
Cited alongside, same era.
Tensor decompositions for learning latent variable models
Anima Anandkumar, Rong Ge, Daniel Hsu, Sham M Kakade, and Matus Telgarsky · 2012
Cited alongside, same era.
The convex geometry of linear inverse problems
Venkat Chandrasekaran, Benjamin Recht, Pablo A Parrilo, and Alan S Willsky · 2012
Cited alongside, same era.
A Tensor Approach to Learning Mixed Membership Community Models
Anima Anandkumar, Rong Ge, Daniel Hsu, and Sham M Kakade · 2013
Cited alongside, same era.
Completing any low-rank matrix, provably
Y. Chen, S. Bhojanapalli, S. Sanghavi, and R. Ward · 2013
Cited alongside, same era.
Smoothed analysis of tensor decompositions
A. Bhaskara, M. Charikar, A. Moitra, and A. Vijayraghavan · 2014
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Era of Big Data Processing: A New Approach via Tensor Networks and Tensor Decompositions
Andrzej Cichocki · 2014
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Fourier PCA and robust tensor decomposition
N. Goyal, S. Vempala, and Y. Xiao · 2014
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Provable tensor factorization with missing data
Prateek Jain and Sewoong Oh · 2014
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Low rank matrix recovery from rank one measurements
Richard Kueng, Holger Rauhut, and Ulrich Terstiege · 2014
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Low-rank tensor completion with spatio-temporal consistency
Hua Wang, Feiping Nie, and Heng Huang · 2014
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On tensor completion via nuclear norm minimization
M. Yuan and C.-H. Zhang · 2014
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Tensor prediction, Rademacher complexity and random 3-XOR
B. Barak and A. Moitra · 2015
Closest in time.
ROP: Matrix recovery via rank-one projections
T. Tony Cai and Anru Zhang · 2015
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Sketching sparse matrices, covariances, and graphs via tensor products
G. Dasarathy, P. Shah, B.N. Bhaskar, and R.D. Nowak · 2015
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Exact tensor completion using t-SVD
Z. Zhang and S. Aeron · 2015
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