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We derive machine learning algorithms from discretized Euclidean field theories, making inference and learning possible within dynamics described by quantum field theory.
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This data set contains a set of face images taken between April 1992 and April 1994 at AT&T Laboratories Cambridge
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D. Koller and N. Friedman, Probabilistic Graphical Models: Principles and Techniques (The MIT Press, 2009)
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2012
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O. Krause, A. Fischer, T. Glasmachers, and C. Igel, Approximation properties of DBNs with binary hidden units and real-valued visible units, in Proceedings of the 30th International Conference on Machine Learning , Proceedings of Machine Learning Research, Vol. 28, edited by S. Dasgupta and D. McAllester (PMLR, Atlanta, Georgia, USA, 2013) pp. 419–426
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A. Fischer and C. Igel, Training restricted boltzmann machines: An introduction, Pattern Recognition 47
2014
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2018
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2019
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G. Kanwar, M. S. Albergo, D. Boyda, K. Cranmer, D. C. Hackett, S. Racanière, D. J. Rezende, and P. E. Shanahan, Equivariant flow-based sampling for lattice gauge theory, Phys. Rev. Lett. 125
2020
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M. N. Chernodub, H. Erbin, V. A. Goy, and A. V. Molochkov, Topological defects and confinement with machine learning: The case of monopoles in compact electrodynamics, Phys. Rev. D 102
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H.-Y. Hu, S.-H. Li, L. Wang, and Y.-Z. You, Machine learning holographic mapping by neural network renormalization group, Phys. Rev. Research 2
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E. Agliari, A. Barra, P. Sollich, and L. Zdeborová, Machine learning and statistical physics: preface, Journal of Physics A: Mathematical and Theoretical 53
2020
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S. Goldt, M. S. Advani, A. M. Saxe, F. Krzakala, and L. Zdeborová, Dynamics of stochastic gradient descent for two-layer neural networks in the teacher–student setup, Journal of Statistical Mechanics: Theory and Experiment 2020
2020
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D. Alberici, A. Barra, P. Contucci, and E. Mingione, Annealing and replica-symmetry in deep boltzmann machines, Journal of Statistical Physics 180
2020
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D. Bachtis, G. Aarts, and B. Lucini, Adding machine learning within hamiltonians: Renormalization group transformations, symmetry breaking and restoration, Phys. Rev. Research 3
2021
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