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Tensor-network techniques have enjoyed outstanding success in physics, and have recently attracted attention in machine learning, both as a tool for the formulation of new learning algorithms and for enhancing the mathematical understanding of existing methods.
A maximization technique occurring in the statistical analysis of probabilistic functions of markov chains
Leonard E. Baum, Ted Petrie, George Soules, and Norman Weiss · 1970
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Daniel J. Hsu, Sham M. Kakade, and Tong Zhang · 2012
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Andrew J. Ferris and Guifre Vidal · 2012
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Jens Eisert · 2013
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João Gouveia, Pablo A. Parrilo, and Rekha R. Thomas · 2013
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João Gouveia, Pablo A. Parrilo, and Rekha R. Thomas · 2013
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Gemma De las Cuevas, Norbert Schuch, David Pérez-García, and J. Ignacio Cirac · 2013
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states
Román Orús · 2014
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Tensor decompositions for learning latent variable models
Animashree Anandkumar, Rong Ge, Daniel J. Hsu, Sham M. Kakade, and Matus Telgarsky · 2014
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Algebraic geometry of matrix product states
Andrew Critch · 2014
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On ranks of regular polygons
António Pedro Goucha, Jo ao Gouveia, and Pedro M. Silva · 2017
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pomegranate: Fast and flexible probabilistic modeling in python
Jacob Schreiber · 2017
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Duality of graphical models and tensor networks
Elina Robeva and Anna Seigal · 2017
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On ranks of regular polygons
António Pedro Goucha, Jo ao Gouveia, and Pedro M. Silva · 2017
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Deep learning and quantum entanglement: Fundamental connections with implications to network design
Yoav Levine, David Yakira, Nadav Cohen, and Amnon Shashua · 2018
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Expressive power of recurrent neural networks
Valentin Khrulkov, Alexander Novikov, and Ivan V. Oseledets · 2018
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Matrix-product operators and states: NP-hardness and undecidability
Martin Kliesch, David Gross, and Jens Eisert · 2014
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Tensorizing neural networks
Alexander Novikov, Dmitry Podoprikhin, Anton Osokin, and Dmitry P. Vetrov · 2015
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Positive semidefinite rank
Hamza Fawzi, João Gouveia, Pablo A. Parrilo, Richard Z. Robinson, and Rekha R. Thomas · 2015
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Hamza Fawzi, João Gouveia, Pablo A. Parrilo, Richard Z. Robinson, and Rekha R. Thomas · 2015
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Provable tensor methods for learning mixtures of generalized linear models
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Jing Chen, Song Cheng, Haidong Xie, Lei Wang, and Tao Xiang · 2018
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Ivan Glasser, Nicola Pancotti, Moritz August, Ivan D. Rodriguez, and J. Ignacio Cirac · 2018
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Ivan Glasser, Nicola Pancotti, and J. Ignacio Cirac · 2018
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Priyank Jaini, Pascal Poupart, and Yaoliang Yu · 2018
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Song Cheng, Jing Chen, and Lei Wang · 2018
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Matrix product states for quantum stochastic modeling
Chengran Yang, Felix C. Binder, Varun Narasimhachar, and Mile Gu · 2018
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Learning relevant features of data with multi-scale tensor networks
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