Built on

D. Dudal, O. Oliveira, M. Roelfs, and P. Silva, Nucl. Phys. B 952
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1901
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A. Rothkopf, PoS Confinement2018
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1903
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M. S. Albergo, G. Kanwar, and P. E. Shanahan, Phys. Rev. D 100
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L. Kades, J. M. Pawlowski, A. Rothkopf, M. Scherzer, J. M. Urban, S. J. Wetzel, N. Wink, and F. P. G. Ziegler, Phys. Rev. D 102
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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, Phys. Rev. Lett. 125
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2005
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T. N. Collaboration, L. D. Debbio, S. Forte, J. I. Latorre, A. Piccione, and J. Rojo, Journal of High Energy Physics 2007
2007
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Similar

P. Thaprasop, K. Zhou, J. Steinheimer, and C. Herold, Phys. Scripta 96
Original
2007
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2008
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Original

Then

H. Yoon, J.-H. Sim, and M. J. Han, Phys. Rev. B 98
Original
2018
Later among the works it cites.
L.-G. Pang, K. Zhou, N. Su, H. Petersen, H. Stöcker, and X.-N. Wang, Nature Commun. 9
Original
2018
Later among the works it cites.
C. Ratti, Rept. Prog. Phys. 81
Original
2018
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A. G. Baydin, B. A. Pearlmutter, A. A. Radul, and J. M. Siskind, Journal of Marchine Learning Research 18
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K. Zhou, G. Endrődi, L.-G. Pang, and H. Stöcker, Phys. Rev. D 100
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Later among the works it cites.

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2021

Reconstructing spectral functions via automatic differentiation

Wang, Lingxiao, Shi, Shuzhe, Zhou, Kai

Understand

Reconstructing spectral functions from Euclidean Green's functions is an important inverse problem in many-body physics.

However, the inversion is proved to be ill-posed in the realistic systems with noisy Green's functions.
In this Letter, we propose an automatic differentiation(AD) framework as a generic tool for the spectral reconstruction from propagator observable.
Exploiting the neural networks' regularization as a non-local smoothness regulator of the spectral function, we represent spectral functions by neural networks and use the propagator's reconstruction error to optimize the network parameters unsupervisedly.

Built on

D. Dudal, O. Oliveira, M. Roelfs, and P. Silva, Nucl. Phys. B 952
Original
1901
Earlier work this paper cites.
A. Rothkopf, PoS Confinement2018
Original
1903
Earlier work this paper cites.
M. S. Albergo, G. Kanwar, and P. E. Shanahan, Phys. Rev. D 100
Original
1904
Earlier work this paper cites.
L. Kades, J. M. Pawlowski, A. Rothkopf, M. Scherzer, J. M. Urban, S. J. Wetzel, N. Wink, and F. P. G. Ziegler, Phys. Rev. D 102
Original
1905
Earlier work this paper cites.
J. G. McWhirter and E. R. Pike, Journal of Physics A Mathematical General 11
1978
Earlier work this paper cites.
P. J. Caudrey, Physica D: Nonlinear Phenomena 6
1982
Earlier work this paper cites.
M. Bertero, in Advances in Electronics and Electron Physics , Vol. 75, edited by P. W. Hawkes (Academic Press, 1989) pp. 1–120
1989
Earlier work this paper cites.
R. K. Bryan, Eur. Biophys. J. 18
1990
Earlier work this paper cites.
A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, and A. G. Yagola, Numerical Methods for the Solution of Ill-Posed Problems (Springer Netherlands, Dordrecht, 1995)
1995
Earlier work this paper cites.
M. E. Peskin and D. V. Schroeder, An Introduction To Quantum Field Theory , first edition edition ed. (Westview Press, Reading, Mass, 1995)
1995
Earlier work this paper cites.
M. Jarrell and J. E. Gubernatis, Physics Reports 269
1996
Earlier work this paper cites.
M. Hobson and A. Lasenby, Mon. Not. Roy. Astron. Soc. 298
1998
Earlier work this paper cites.
M. Asakawa, T. Hatsuda, and Y. Nakahara, Prog. Part. Nucl. Phys. 46
2001
Earlier work this paper cites.
M. Asakawa, (2020), arXiv:2001.10205 [hep-ph]
Original
2001
Earlier work this paper cites.
S. Forte, L. s. Garrido, J. I. Latorre, and A. Piccione, Journal of High Energy Physics 2002
2002
Earlier work this paper cites.
G. Kanwar, M. S. Albergo, D. Boyda, K. Cranmer, D. C. Hackett, S. Racanière, D. J. Rezende, and P. E. Shanahan, Phys. Rev. Lett. 125
Original
2003
Earlier work this paper cites.
L. Wang, Y. Jiang, L. He, and K. Zhou, (2020a), arXiv:2005.04857 [cond-mat.dis-nn]
Original
2005
Earlier work this paper cites.
T. N. Collaboration, L. D. Debbio, S. Forte, J. I. Latorre, A. Piccione, and J. Rojo, Journal of High Energy Physics 2007
2007
Earlier work this paper cites.

Similar

P. Thaprasop, K. Zhou, J. Steinheimer, and C. Herold, Phys. Scripta 96
Original
2007
Cited alongside, same era.
D. Boyda, G. Kanwar, S. Racanière, D. J. Rezende, M. S. Albergo, K. Cranmer, D. C. Hackett, and P. E. Shanahan, Phys. Rev. D 103
Original
2008
Cited alongside, same era.
F. Li, Y. Wang, H. Lü, P. Li, Q. Li, and F. Liu, J. Phys. G 47
Original
2008
Cited alongside, same era.
M. Omana Kuttan, J. Steinheimer, K. Zhou, A. Redelbach, and H. Stoecker, Phys. Lett. B 811
Original
2009
Cited alongside, same era.
R. Wang, Y.-G. Ma, R. Wada, L.-W. Chen, W.-B. He, H.-L. Liu, and K.-J. Sun, Phys. Rev. Res. 2
Original

Then

H. Yoon, J.-H. Sim, and M. J. Han, Phys. Rev. B 98
Original
2018
Later among the works it cites.
L.-G. Pang, K. Zhou, N. Su, H. Petersen, H. Stöcker, and X.-N. Wang, Nature Commun. 9
Original
2018
Later among the works it cites.
C. Ratti, Rept. Prog. Phys. 81
Original
2018
Later among the works it cites.
A. G. Baydin, B. A. Pearlmutter, A. A. Radul, and J. M. Siskind, Journal of Marchine Learning Research 18
2018
Later among the works it cites.
K. Zhou, G. Endrődi, L.-G. Pang, and H. Stöcker, Phys. Rev. D 100
2019
Later among the works it cites.

Beyond the bibliography

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2010

Cited alongside, same era.

A. Andreassen, S.-C. Hsu, B. Nachman, N. Suaysom, and A. Suresh, Phys. Rev. D 103

Original

2010

Cited alongside, same era.

S. I. Kabanikhin, Inverse and Ill-Posed Problems: Theory and Applications (De Gruyter, 2011)

2011

Cited alongside, same era.

Y. Burnier and A. Rothkopf, Phys. Rev. Lett. 111

Original

2013

Cited alongside, same era.

D. P. Kingma and J. Ba, arXiv preprint arXiv:1412.6980 (2014)

Original

2014

Cited alongside, same era.

D. P. Kingma and J. Ba, arXiv e-prints , arXiv:1412.6980 (2014), arXiv:1412.6980 [cs.LG]

Original

2014

Cited alongside, same era.

Y. Burnier, O. Kaczmarek, and A. Rothkopf, Phys. Rev. Lett. 114

Original

2015

Cited alongside, same era.

H.-T. Ding, F. Karsch, and S. Mukherjee, Int. J. Mod. Phys. E 24

Original

2015

Cited alongside, same era.

R.-A. Tripolt, P. Gubler, M. Ulybyshev, and L. Von Smekal, Comput. Phys. Commun. 237

Original

2019