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We consider tensor factorizations using a generative model and a Bayesian approach.
Solution of ’solvable model of a spin glass’
D. J. Thouless, P. W. Anderson, and R. G. Palmer · 1977
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Spin-Glass Theory and Beyond
M. Mézard, G. Parisi, and M. A. Virasoro · 1987
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The spherical p-spin interaction spin glass model: The statics
Andrea Crisanti and H-J Sommers · 1992
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Thouless-anderson-palmer approach to the spherical p-spin spin glass model
A Crisanti and H-J Sommers · 1995
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Extended variational principle for the Sherrington-Kirkpatrick spin-glass model
Michael Aizenman, Robert Sims, and Shannon L Starr · 2003
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Broken replica symmetry bounds in the mean field spin glass model
Francesco Guerra · 2003
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Mutual information and minimum mean-square error in gaussian channels
Dongning Guo, Shlomo Shamai, and Sergio Verdú · 2005
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Estimating random variables from random sparse observations
Andrea Montanari · 2008
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Exact solution of the gauge symmetric p-spin glass model on a complete graph
Satish Babu Korada and Nicolas Macris · 2009
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Mean field models for spin glasses: Volume I: Basic examples
Michel Talagrand · 2010
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The dynamics of message passing on dense graphs, with applications to compressed sensing
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Iterative estimation of constrained rank-one matrices in noise
Sundeep Rangan and Alyson K Fletcher · 2012
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Low-rank matrix reconstruction and clustering via approximate message passing
Ryosuke Matsushita and Toshiyuki Tanaka · 2013
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The Sherrington-Kirkpatrick model
Dmitry Panchenko · 2013
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Tensor decompositions for learning latent variable models
Animashree Anandkumar, Rong Ge, Daniel Hsu, Sham M Kakade, and Matus Telgarsky · 2014
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Information-theoretically optimal sparse PCA
Y. Deshpande and A. Montanari · 2014
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MMSE of probabilistic low-rank matrix estimation: Universality with respect to the output channel
T. Lesieur, F. Krzakala, and L. Zdeborová · 2015
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Phase transitions in sparse PCA
T. Lesieur, F. Krzakala, and L. Zdeborová · 2015
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Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula
Jean Barbier, Mohamad Dia, Nicolas Macris, Florent Krzakala, Thibault Lesieur, and Lenka Zdeborová · 2016
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Mutual information in rank-one matrix estimation
F. Krzakala, J. Xu, and L. Zdeborová · 2016
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Fundamental limits of symmetric low-rank matrix estimation
Marc Lelarge and Léo Miolane · 2016
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Spectral detection on sparse hypergraphs
Maria Chiara Angelini, Francesco Caltagirone, Florent Krzakala, and Lenka Zdeborová · 2015
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Tensor decompositions for signal processing applications: From two-way to multiway component analysis
Andrzej Cichocki, Danilo Mandic, Lieven De Lathauwer, Guoxu Zhou, Qibin Zhao, Cesar Caiafa, and Huy Anh Phan · 2015
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Amelia Perry, Alexander S Wein, and Afonso S Bandeira · 2016
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Statistical physics of inference: Thresholds and algorithms
Lenka Zdeborová and Florent Krzakala · 2016
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Constrained low-rank matrix estimation: phase transitions, approximate message passing and applications
Thibault Lesieur, Florent Krzakala, and Lenka Zdeborová · 2017
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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, and Christos Faloutsos · 2017
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