Built on

L. Onsager, Phys. Rev. 65
1944
Earlier work this paper cites.
T. D. Lee and C. N. Yang, Phys. Rev. 87
1952
Earlier work this paper cites.
G. E. Hinton, Neural Comput. 14
2002
Earlier work this paper cites.
G. E. Hinton, Trends in Cognitive Sciences 11
2007
Earlier work this paper cites.
T. Tieleman, in Proceedings of the 25th International Conference on Machine Learning , ICML ’08 (ACM, New York, NY, USA, 2008) pp. 1064–1071
2008
Earlier work this paper cites.
G. E. Hinton, Neural Networks: Tricks of the Trade
2012
Earlier work this paper cites.
C. Bény, ArXiv e-prints (2013), arXiv:1301.3124 [quant-ph]
Original
2013
Earlier work this paper cites.
P. Baldi, P. Sadowski, and D. Whiteson, Nature Communications 5
Original
2014
Earlier work this paper cites.
P. Mehta and D. J. Schwab, ArXiv e-prints (2014), arXiv:1410.3831 [stat.ML]
Original
2014
Earlier work this paper cites.
A. Paul and S. Venkatasubramanian, ArXiv e-prints (2014), arXiv:1412.6621
Original
2014
Earlier work this paper cites.
Y. LeCun, Y. Bengio, and G. Hinton, Nature 521
2015
Earlier work this paper cites.
L.-F. Arsenault, O. Anatole von Lilienfeld, and A. J. Millis, ArXiv e-prints (2015), arXiv:1506.08858 [cond-mat.str-el]
Original
2015
Earlier work this paper cites.
L. Wang, Phys. Rev. B 94
Original
2016
Earlier work this paper cites.

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G. Torlai and R. G. Melko, Phys. Rev. B 94
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2016
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K.-I. Aoki and T. Kobayashi, Modern Physics Letters B 30
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2016
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S. J. Wetzel, Phys. Rev. E 96
Original
2017
Cited alongside, same era.
W. Hu, R. R. P. Singh, and R. T. Scalettar, Phys. Rev. E 95
Original
2017
Cited alongside, same era.

Then

Y. Zhang and E.-A. Kim, Phys. Rev. Lett. 118
2017
Later among the works it cites.
E. P. L. van Nieuwenburg, Y.-H. Liu, and S. D. Huber, Nature Physics 13
Original
2017
Later among the works it cites.
H. W. Lin, M. Tegmark, and D. Rolnick, Journal of Statistical Physics 168
Original
2017
Later among the works it cites.
A. Morningstar and R. G. Melko, J. Mach. Learn. Res. 18
2017
Later among the works it cites.
Z. Cai and J. Liu, Phys. Rev. B 97
Original
2018
Closest in time.
G. Torlai, G. Mazzola, J. Carrasquilla, M. Troyer, R. Melko, and G. Carleo, Nature Physics 14

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2018

Thermodynamics and Feature Extraction by Machine Learning

Funai, Shotaro Shiba, Giataganas, Dimitrios

Understand

Machine learning methods are powerful in distinguishing different phases of matter in an automated way and provide a new perspective on the study of physical phenomena.

We train a Restricted Boltzmann Machine (RBM) on data constructed with spin configurations sampled from the Ising Hamiltonian at different values of temperature and external magnetic field using Monte Carlo methods.
From the trained machine we obtain the flow of iterative reconstruction of spin state configurations to faithfully reproduce the observables of the physical system.
We find that the flow of the trained RBM approaches the spin configurations of the maximal possible specific heat which resemble the near criticality region of the Ising model.

Built on

L. Onsager, Phys. Rev. 65
1944
Earlier work this paper cites.
T. D. Lee and C. N. Yang, Phys. Rev. 87
1952
Earlier work this paper cites.
G. E. Hinton, Neural Comput. 14
2002
Earlier work this paper cites.
G. E. Hinton, Trends in Cognitive Sciences 11
2007
Earlier work this paper cites.
T. Tieleman, in Proceedings of the 25th International Conference on Machine Learning , ICML ’08 (ACM, New York, NY, USA, 2008) pp. 1064–1071
2008
Earlier work this paper cites.
G. E. Hinton, Neural Networks: Tricks of the Trade
2012
Earlier work this paper cites.
C. Bény, ArXiv e-prints (2013), arXiv:1301.3124 [quant-ph]
Original
2013
Earlier work this paper cites.
P. Baldi, P. Sadowski, and D. Whiteson, Nature Communications 5
Original
2014
Earlier work this paper cites.
P. Mehta and D. J. Schwab, ArXiv e-prints (2014), arXiv:1410.3831 [stat.ML]
Original
2014
Earlier work this paper cites.
A. Paul and S. Venkatasubramanian, ArXiv e-prints (2014), arXiv:1412.6621
Original
2014
Earlier work this paper cites.
Y. LeCun, Y. Bengio, and G. Hinton, Nature 521
2015
Earlier work this paper cites.
L.-F. Arsenault, O. Anatole von Lilienfeld, and A. J. Millis, ArXiv e-prints (2015), arXiv:1506.08858 [cond-mat.str-el]
Original
2015
Earlier work this paper cites.
L. Wang, Phys. Rev. B 94
Original
2016
Earlier work this paper cites.

Similar

G. Torlai and R. G. Melko, Phys. Rev. B 94
Original
2016
Cited alongside, same era.
S. S. Schoenholz, E. D. Cubuk, D. M. Sussman, E. Kaxiras, and A. J. Liu, NATURE PHYSICS 12
2016
Cited alongside, same era.
K.-I. Aoki and T. Kobayashi, Modern Physics Letters B 30
Original
2016
Cited alongside, same era.
S. J. Wetzel, Phys. Rev. E 96
Original
2017
Cited alongside, same era.
W. Hu, R. R. P. Singh, and R. T. Scalettar, Phys. Rev. E 95
Original
2017
Cited alongside, same era.

Then

Y. Zhang and E.-A. Kim, Phys. Rev. Lett. 118
2017
Later among the works it cites.
E. P. L. van Nieuwenburg, Y.-H. Liu, and S. D. Huber, Nature Physics 13
Original
2017
Later among the works it cites.
H. W. Lin, M. Tegmark, and D. Rolnick, Journal of Statistical Physics 168
Original
2017
Later among the works it cites.
A. Morningstar and R. G. Melko, J. Mach. Learn. Res. 18
2017
Later among the works it cites.
Z. Cai and J. Liu, Phys. Rev. B 97
Original
2018
Closest in time.
G. Torlai, G. Mazzola, J. Carrasquilla, M. Troyer, R. Melko, and G. Carleo, Nature Physics 14