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Deep neural networks have been extremely successful as highly accurate wave function ans\"atze for variational Monte Carlo calculations of molecular ground states.
P. Ewald, Ann. Phys. 369
1921
Earlier work this paper cites.
E. Wigner, Phys. Rev. 46
1934
Earlier work this paper cites.
T. Kato, Communications on Pure and Applied Mathematics 10
1957
Earlier work this paper cites.
D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45
1980
Earlier work this paper cites.
R. F. Bishop and K. H. Lührmann, Phys. Rev. B 26
1982
Earlier work this paper cites.
G. Cybenko, Math. Control Signal Systems 2
1989
Earlier work this paper cites.
H. Flyvbjerg and H. G. Petersen, J. Chem. Phys. 91
1989
Earlier work this paper cites.
K. Hornik, Neural Networks 4
1991
Earlier work this paper cites.
G. Rajagopal, R. J. Needs, A. James, S. D. Kenny, and W. M. C. Foulkes, Phys. Rev. B 51
1995
Earlier work this paper cites.
L. M. Fraser, W. M. C. Foulkes, G. Rajagopal, R. J. Needs, S. D. Kenny, and A. J. Williamson, Phys. Rev. B 53
1996
Earlier work this paper cites.
S.-I. Amari, Neural Comp. 10
1998
Earlier work this paper cites.
W. M. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, Rev. Modern Phys. 73
2001
Earlier work this paper cites.
N. D. Drummond, Z. Radnai, J. R. Trail, M. D. Towler, and R. J. Needs, Phys. Rev. B 69
2004
Earlier work this paper cites.
G. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, 2005)
2005
Earlier work this paper cites.
S. Sorella, Phys. Rev. B 71
2005
Earlier work this paper cites.
I. Shavitt and R. J. Bartlett, Many-Body Methods in Chemistry and Physics: MBPT and Coupled-Cluster Theory , Cambridge Molecular Science (Cambridge University Press, 2009)
2009
Earlier work this paper cites.
G. H. Booth, A. J. W. Thom, and A. Alavi, J. Chem. Phys. 131
2009
Earlier work this paper cites.
R. J. Needs, M. D. Towler, N. D. Drummond, and P. L. Ríos, Journal of Physics: Condensed Matter 22
2010
Earlier work this paper cites.
D. Cleland, G. H. Booth, and A. Alavi, J. Chem. Phys. 134
2011
Earlier work this paper cites.
A. Krizhevsky, I. Sutskever, and G. E. Hinton, NeurIPS 25
2012
Earlier work this paper cites.
J. J. Shepherd, G. H. Booth, and A. Alavi, J. Chem. Phys. 136
2012
Earlier work this paper cites.
J. Martens and R. Grosse, Proceedings of the 32nd International Conference on Machine Learning , PMLR 37
2015
Cited alongside, same era.
L. Wang, Phys. Rev. B 94
2016
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, et al. , Nature 529
2016
Cited alongside, same era.
J. Carrasquilla and R. G. Melko, Nat. Phys. 13
2017
Cited alongside, same era.
E. P. Van Nieuwenburg, Y.-H. Liu, and S. D. Huber, Nat. Phys. 13
2017
Cited alongside, same era.
G. Carleo and M. Troyer, Science 355
2017
Cited alongside, same era.
J. S. Spencer, D. Pfau, A. Botev, and W. M. C. Foulkes, arXiv:2011.07125 (2020)
2020
Later among the works it cites.
J. Hermann, Z. Schätzle, and F. Noé, Nat. Chem. 12
2020
Later among the works it cites.
K. Choo, A. Mezzacapo, and G. Carleo, Nat. Comm. 11
2020
Later among the works it cites.
R. J. Needs, M. D. Towler, N. D. Drummond, P. López Ríos, and J. R. Trail, J. Chem. Phys. 152
2020
Later among the works it cites.
D. Pfau and J. Spencer, Ferminet JAX implementation, http://github.com/deepmind/ferminet (2020)
2020
Later among the works it cites.
A. Botev, KFAC JAX implementation, https://github.com/deepmind/deepmind-research/tree/master/kfac_ferminet_alpha (2020)
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H. Saito, J. Phys. Soc. Jpn. 86
2017
Cited alongside, same era.
A. Vaswani, N. Shazeer, N. Parmar, J. Uszkoreit, L. Jones, A. N. Gomez, L. u. Kaiser, and I. Polosukhin, in Advances in Neural Information Processing Systems , Vol. 30, edited by I. Guyon, U. V. Luxburg, S. Bengio, H. Wallach, R. Fergus, S. Vishwanathan, and R. Garnett (Curran Associates, Inc., 2017)
2017
Cited alongside, same era.
V. A. Neufeld and A. J. W. Thom, J. Chem. Phys. 147
2017
Cited alongside, same era.
Y. Nomura, A. S. Darmawan, Y. Yamaji, and M. Imada, Phys. Rev. B 96
2017
Cited alongside, same era.
S. Arai, M. Ohzeki, and K. Tanaka, J. Phys. Soc. Jpn. 87
2018
Cited alongside, same era.
J. Venderley, V. Khemani, and E.-A. Kim, Phys. Rev. Lett. 120
2018
Cited alongside, same era.
2020
Later among the works it cites.
N. Astrakhantsev, T. Westerhout, A. Tiwari, K. Choo, A. Chen, M. H. Fischer, G. Carleo, and T. Neupert, Phys. Rev. X 11
2021
Later among the works it cites.
J. Jumper, R. Evans, A. Pritzel, T. Green, M. Figurnov, O. Ronneberger, K. Tunyasuvunakool, R. Bates, A. Žídek, A. Potapenko, et al. , Nature 596
2021
Later among the works it cites.
M. Scherbela, R. Reisenhofer, L. Gerard, P. Marquetand, and P. Grohs, arXiv:2105.08351 (2021)
2021
Later among the works it cites.
N. Gao and S. Günnemann, arXiv:2110.05064 (2021)
2021
Later among the works it cites.
M. Wilson, N. Gao, F. Wudarski, E. Rieffel, and N. M. Tubman, arXiv:2103.12570 (2021)
2021
Later among the works it cites.
G. Pescia, J. Han, A. Lovato, J. Lu, and G. Carleo, arXiv:2112.11957 (2021)
2021
Later among the works it cites.
N. Yoshioka, W. Mizukami, and F. Nori, Comm. Phys. 4
2021
Later among the works it cites.
Y. Zhou, J. Sung, E. Brutschea, I. Esterlis, Y. Wang, G. Scuri, R. J. Gelly, H. Heo, T. Taniguchi, K. Watanabe, et al. , Nature 595
2021
Later among the works it cites.
T. Smoleński, P. E. Dolgirev, C. Kuhlenkamp, A. Popert, Y. Shimazaki, P. Back, X. Lu, M. Kroner, K. Watanabe, T. Taniguchi, et al. , Nature 595
2021
Later among the works it cites.
H. Li, S. Li, E. C. Regan, D. Wang, W. Zhao, S. Kahn, K. Yumigeta, M. Blei, T. Taniguchi, K. Watanabe, et al. , Nature 597
2021
Later among the works it cites.
X. Li, C. Fan, W. Ren, and J. Chen, Phys. Rev. Research 4
2022
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While we were preparing this manuscript, Wilson et al. Wilson et al. 2022 reported neural-network-based continuous-space VMC results for the same 14-electron system studied here, plus 7- and 19-electron gases. Although they used a more heavily modified version of the FermiNet ansatz, their results are similar to ours. They restrict their attention to the Fermi liquid phase and do not study the Wigner transition
2022
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S. Azadi and N. D. Drummond, arXiv:2201.08743 (2022)
2022
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