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We explore the capacity of neural networks to detect a symmetry with complex local and non-local patterns : the gauge symmetry Z 2 .
E. Marinari, C. Parrinello, and R. Ricci, Nuclear Physics B 362
1904
Earlier work this paper cites.
S. Elitzur, Phys. Rev. D 12
1975
Earlier work this paper cites.
G. Toulouse, Communications on Physics 2
1977
Earlier work this paper cites.
K. Fukushima, Biological cybernetics 36
1980
Earlier work this paper cites.
F. Barahona, Journal of Physics A: Mathematical and General 15
1982
Earlier work this paper cites.
D. E. Rumelhart, G. E. Hinton, and R. J. Williams, Learning internal representations by error propagation , Tech. Rep. (California Univ San Diego La Jolla Inst for Cognitive Science, 1985)
1985
Earlier work this paper cites.
D. H. Ballard, in AAAI (1987) pp. 279–284
1987
Earlier work this paper cites.
Y. LeCun, B. Boser, J. S. Denker, D. Henderson, R. E. Howard, W. Hubbard, and L. D. Jackel, Neural computation 1
1989
Earlier work this paper cites.
In this work we deal with an Abelian gauge group which makes fixing the gauge simple (difficulties arise for non-Abelian gauge groups, see e.g. Ref. Marinari et al. 1991 )
1991
Earlier work this paper cites.
I. Montvay and G. Münster, Quantum Fields on a Lattice (Cambridge University Press, Cambridge, 1997)
1997
Earlier work this paper cites.
S. Istrail, in Proceedings of the thirty-second annual ACM symposium on Theory of computing - STOC ’00 (ACM Press, New York, New York, USA, 2003) pp. 87–96
2003
Earlier work this paper cites.
L. v. d. Maaten and G. Hinton, Journal of machine learning research 9
2008
Earlier work this paper cites.
2010
Earlier work this paper cites.
F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg, J. Vanderplas, A. Passos, D. Cournapeau, M. Brucher, M. Perrot, and E. Duchesnay, Journal of Machine Learning Research 12
2011
Earlier work this paper cites.
A. Krizhevsky, I. Sutskever, and G. E. Hinton, in Advances in neural information processing systems (2012) pp. 1097–1105
2012
Cited alongside, same era.
L. A. Fernández, V. Martín-Mayor, G. Parisi, and B. Seoane, EPL (Europhysics Letters) 103
2013
Cited alongside, same era.
A. Billoire, J. Stat. Mech. 2014
2014
Cited alongside, same era.
D. P. Kingma and J. Ba, arXiv preprint arXiv:1412.6980 (2014)
2014
Cited alongside, same era.
Y. LeCun, Y. Bengio, and G. Hinton, Nature 521
2015
Cited alongside, same era.
J. Schmidhuber, Neural Networks 61
2015
L. Fernandez, E. Marinari, V. Martin-Mayor, G. Parisi, and D. Yllanes, Journal of Statistical Mechanics: Theory and Experiment 2016
2016
Later among the works it cites.
K. He, X. Zhang, S. Ren, and J. Sun, in Proceedings of the IEEE conference on computer vision and pattern recognition (2016) pp. 770–778
2016
Later among the works it cites.
J. Carrasquilla and R. G. Melko, Nature Physics 13
2017
Later among the works it cites.
S. J. Wetzel and M. Scherzer, Physical Review B 96
2017
Later among the works it cites.
E. van Nieuwenburg, Y.-H. Liu, and S. Huber, Nature Physics 13
2017
Later among the works it cites.
T. Ohtsuki and T. Ohtsuki, Journal of the Physical Society of Japan 86
2017
Later among the works it cites.
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Cited alongside, same era.
E. D. Cubuk, S. S. Schoenholz, J. M. Rieser, B. D. Malone, J. Rottler, D. J. Durian, E. Kaxiras, and A. J. Liu, Phys. Rev. Lett. 114
2015
Cited alongside, same era.
V. Martín-Mayor and I. Hen, Scientific Reports 5
2015
Cited alongside, same era.
F. Chollet et al. , “Keras,” https://keras.io (2015)
2015
Cited alongside, same era.
D. Silver, A. Huang, C. J. Maddison, A. Guez, L. Sifre, G. van den Driessche, J. Schrittwieser, I. Antonoglou, V. Panneershelvam, M. Lanctot, S. Dieleman, D. Grewe, J. Nham, N. Kalchbrenner, I. Sutskever, T. Lillicrap, M. Leach, K. Kavukcuoglu, T. Graepel, and D. Hassabis, Nature 524
2016
Cited alongside, same era.
G. Torlai and R. G. Melko, Phys. Rev. B 94
2016
Cited alongside, same era.
L. Wang, Phys. Rev. B 94
2016
Cited alongside, same era.
S. S. Schoenholz, E. D. Cubuk, E. Kaxiras, and A. J. Liu, Proceedings of the National Academy of Sciences 114
2017
Later among the works it cites.
D.-L. Deng, X. Li, and S. Das Sarma, Phys. Rev. B 96
2017
Later among the works it cites.
M. J. S. Beach, A. Golubeva, and R. G. Melko, Phys. Rev. B 97
2018
Later among the works it cites.
M. Koch-Janusz and Z. Ringel, Nature Physics 14
2018
Later among the works it cites.
A. Billoire, L. A. Fernandez, A. Maiorano, E. Marinari, V. Martin-Mayor, J. Moreno-Gordo, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Journal of Statistical Mechanics: Theory and Experiment 2018
2018
Later among the works it cites.
Actually, Refs. Alvarez Baños et al. 2010 ; Fernández et al. 2013 ; Billoire 2014 ; Fernandez et al. 2016 ; Billoire et al. 2018 attempted to find equilibrium configurations using a Parallel Tempering algorithm down to some minimal temperature T min T_{\mathrm{min}} . In order to compute the Ground State, one needs to push T min T_{\mathrm{min}} to zero, as done for instance in Ref. Martín-Mayor and Hen 2015 . Unfortunately, the lower T min T_{\mathrm{min}} the larger the spread over the samples of the computational hardness, see e.g. Refs. Alvarez Baños et al. 2010 ; Fernandez et al. 2016 ; Billoire et al. 2018
2018
Later among the works it cites.
A. Decelle and B. Seoane, https://github.com/AurelienDecelle/SpinLearning. (2019)
2019
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