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Tensor networks have emerged as promising tools for machine learning, inspired by their widespread use as variational ansatze in quantum many-body physics.
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“Entanglement and Tensor Networks for Supervised Image Classification” arXiv: 2007.06082
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“Supervised Learning with Quantum-Inspired Tensor Networks” arXiv: 1605.05775
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“Tensor Decompositions and Applications”
T. Kolda and B. Bader · 2009
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“Supervised Learning with Projected Entangled Pair States” arXiv: 2009.09932
Song Cheng, Lei Wang and Pan Zhang · 2009
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“The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Second Edition”, Springer Series in Statistics
Trevor Hastie, Robert Tibshirani and Jerome Friedman · 2009
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“Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality”
Shengjun Wu, Uffe. Poulsen and Klaus Mølmer · 2009
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“The density-matrix renormalization group in the age of matrix product states”
Ulrich Schollwöck · 2010
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“Area laws for the entanglement entropy - a review” arXiv: 0808.3773
J. Eisert, M. Cramer and M.. Plenio · 2010
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“Information Measures in Perspective: Information Measures in Perspective”
Nader Ebrahimi, Ehsan. Soofi and Refik Soyer · 2010
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E. Stoudenmire and David. Schwab · 2016
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“InfoGAN: interpretable representation learning by information maximizing generative adversarial nets”
Xi Chen et al · 2016
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“Hand-waving and interpretive dance: an introductory course on tensor networks”
Jacob. Bridgeman and Christopher. Chubb · 2017
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“Tensor Networks in a Nutshell” arXiv: 1708.00006
Jacob Biamonte and Ville Bergholm · 2017
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“MINE: Mutual Information Neural Estimation” arXiv: 1801.04062
Mohamed Belghazi et al · 2018
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“Deconstructing Cross-Entropy for Probabilistic Binary Classifiers”
Daniel Ramos, Javier Franco-Pedroso, Alicia Lozano-Diez and Joaquin Gonzalez-Rodriguez · 2018
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“Information Perspective to Probabilistic Modeling: Boltzmann Machines versus Born Machines”
Song Cheng, Jing Chen and Lei Wang · 2018
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“Towards quantum machine learning with tensor networks”
William Huggins et al · 2019
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“Machine learning by unitary tensor network of hierarchical tree structure”
Ding Liu et al · 2019
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“Quantum convolutional neural networks”
Iris Cong, Soonwon Choi and Mikhail. Lukin · 2019
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“On Variational Bounds of Mutual Information”
Ben Poole et al · 2019
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“Formal limitations on the measurement of mutual information”
David McAllester and Karl Stratos · 2020
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“Multi-scale tensor network architecture for machine learning”
J.. Reyes and E.. Stoudenmire · 2021
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E. Stoudenmire · 2058
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