Fetching the paper…
Reading the bibliography…
These notes attempt a self-contained introduction into statistical field theory applied to neural networks of rate units and binary spins.
L. Onsager and S. Machlup, 91
1953
Earlier work this paper cites.
E. T. Jaynes, The physical review 106
1957
Earlier work this paper cites.
J. Lasinio, Nuovo Cimento 34
1964
Earlier work this paper cites.
C. De Dominicis and P. C. Martin, Journal of Mathematical Physics 5
1964
Earlier work this paper cites.
P. Martin, E. Siggia, and H. Rose, Phys. Rev. A 8
1973
Earlier work this paper cites.
K. G. Wilson and J. Kogut, Physics Reports 12
1974
Earlier work this paper cites.
A. N. Vasiliev and R. A. Radzhabov, Theoretical and Mathematical Physics 21
1974
Earlier work this paper cites.
K. G. Wilson, Rev. Mod. Phys. 47
1975
Earlier work this paper cites.
C. De Dominicis, J. Phys. Colloques 37
1976
Earlier work this paper cites.
H.-K. Janssen, Zeitschrift für Physik B Condensed Matter 23
1976
Earlier work this paper cites.
D. J. Thouless, P. W. Anderson, and R. G. Palmer, Philosophical Magazine 35
1977
Earlier work this paper cites.
S. Kirkpatrick and D. Sherrington, Phys. Rev. B 17
1978
Earlier work this paper cites.
C. De Dominicis and L. Peliti, Phys. Rev. B 18
1978
Earlier work this paper cites.
G. Parisi, Journal of Physics A: Mathematical and General 13
1980
Earlier work this paper cites.
H. Sompolinsky and A. Zippelius, Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
H. Sompolinsky and A. Zippelius, Phys. Rev. B 25
1982
Earlier work this paper cites.
D. J. Amit, Field theory, the renormalization group, and critical phenomena (World Scientific, 1984)
1984
Earlier work this paper cites.
C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer-Verlag, Berlin, 1985), 2nd ed., ISBN 3-540-61634-9, 3-540-15607-0
1985
Earlier work this paper cites.
B. Derrida, J. Phys. A: Math. Gen. 20
1987
Earlier work this paper cites.
H. Sompolinsky, A. Crisanti, and H. J. Sommers, Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
H. Kleinert, Gauge fields in condensed matter, Vol. I , SUPERFLOW AND VORTEX LINES Disorder Fields, Phase Transitions (World Scientific, 1989)
1989
Earlier work this paper cites.
H. S. Wio, P. Colet, and M. San Miguel, Phys Rev A 40
1989
Earlier work this paper cites.
K. Fischer and J. Hertz, Spin glasses (Cambridge University Press, 1991)
1991
Earlier work this paper cites.
A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, Inc., New York, 1991), 3rd ed
1991
Earlier work this paper cites.
A. Georges and J. S. Yedidia, Journal of Physics A: Mathematical and General 24
1991
Earlier work this paper cites.
J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. Newman, The Theory of Critical Phenomena: An Introduction to the Renormalization Group (Oxford University Press, Inc., New York, NY, USA, 1992), ISBN 0198513933, 9780198513933
1992
Earlier work this paper cites.
W. R. Softky and C. Koch, J. Neurosci. 13
1993
Earlier work this paper cites.
C. Wetterich, Physics Letters B 301
1993
Earlier work this paper cites.
I. Ginzburg and H. Sompolinsky, Phys. Rev. E 50
1994
Earlier work this paper cites.
C. van Vreeswijk and H. Sompolinsky, Science 274
1996
Cited alongside, same era.
J. Zinn-Justin, Quantum field theory and critical phenomena (Clarendon Press, Oxford, 1996)
1996
Cited alongside, same era.
H. Risken, The Fokker-Planck Equation (Springer Verlag Berlin Heidelberg, 1996), URL https://doi.org/10.1007/978-3-642-61544-3_4
1996
Cited alongside, same era.
V. B. Mountcastle, Brain 120
1997
Cited alongside, same era.
D. J. Amit and N. Brunel, Network: Comput. Neural Systems 8
1997
Cited alongside, same era.
K. Nakanishi and H. Takayama, J. Phys. A: Math. Gen. 30
1997
Cited alongside, same era.
M. Monteforte and F. Wolf, Phys. Rev. Lett. 105
2010
Later among the works it cites.
K. Rajan, L. Abbott, and H. Sompolinsky, Phys. Rev. E 82
2010
Later among the works it cites.
V. Pernice, B. Staude, S. Cardanobile, and S. Rotter, PLOS Comput. Biol. 7
2011
Later among the works it cites.
T. Toyoizumi and L. F. Abbott, Phys. Rev. E 84
2011
Later among the works it cites.
P. C. Bressloff, Journal of Physics A: Mathematical and Theoretical 45
2012
Later among the works it cites.
V. Pernice, B. Staude, S. Cardanobile, and S. Rotter, Phys. Rev. E 85
2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
C. van Vreeswijk and H. Sompolinsky, Neural Comput. 10
1998
Cited alongside, same era.
J. W. Negele and H. Orland, Quantum Many-Particle Systems (New York: Perseus Books, 1998)
1998
Cited alongside, same era.
T. Tanaka, Phys. Rev. E 58
1998
Cited alongside, same era.
N. Brunel and V. Hakim, Neural Comput. 11
1999
Cited alongside, same era.
N. Brunel, J. Comput. Neurosci. 8
2000
Cited alongside, same era.
M. Opper and D. Saad, eds., Advanced Mean Field Methods - Theory and Practice (The MIT Press, 2001)
2001
Cited alongside, same era.
2012
Later among the works it cites.
T. Tetzlaff, M. Helias, G. T. Einevoll, and M. Diesmann, PLOS Comput. Biol. 8
2012
Later among the works it cites.
W. Metzner, M. Salmhofer, C. Honerkamp, V. Meden, and K. Schönhammer, Rev. Mod. Phys. 84
2012
Later among the works it cites.
G. Hermann and J. Touboul, Phys. Rev. Lett. 109
2012
Later among the works it cites.
M. Helias, T. Tetzlaff, and M. Diesmann, New J. Phys. 15
2013
Later among the works it cites.
G. Wainrib and J. Touboul, Phys. Rev. Lett. 110
2013
Later among the works it cites.
C. Chow and M. Buice, The Journal of Mathematical Neuroscience 5
2015
Later among the works it cites.
J. Aljadeff, M. Stern, and T. Sharpee, Phys. Rev. Lett. 114
2015
Later among the works it cites.
J. Kadmon and H. Sompolinsky, Phys. Rev. X 5
2015
Later among the works it cites.
M. Gabrié, E. W. Tramel, and F. Krzakala, in Proceedings of the 28th International Conference on Neural Information Processing Systems - Volume 1 (MIT Press, Cambridge, MA, USA, 2015), NIPS’15, pp. 640–648, URL http://dl.acm.org/citation.cfm?id=2969239.2969311
2015
Later among the works it cites.
M. Schmidt, R. Bakker, M. Diesmann, and S. J. van Albada, arXiv preprint arXiv:1511.09364v3 (2016)
2016
Later among the works it cites.
J. Schuecker, S. Goedeke, D. Dahmen, and M. Helias, arXiv (2016), 1605.06758 [cond-mat.dis-nn]
2016
Later among the works it cites.
M. L. Steyn-Ross and D. A. Steyn-Ross, Phys. Rev. E 93
2016
Later among the works it cites.
D. Dahmen, M. Diesmann, and M. Helias, arXiv (2016), 1605.04153 [cond-mat.dis-nn]
2016
Later among the works it cites.
J. A. Hertz, Y. Roudi, and P. Sollich, arXiv preprint arXiv:1604.05775 (2016)
2016
Later among the works it cites.
S. Goedeke, J. Schuecker, and M. Helias, arXiv (2016), 1603.01880v1 [q-bio.NC]
2016
Later among the works it cites.
J. A. Hertz, Y. Roudi, and P. Sollich, Journal of Physics A: Mathematical and Theoretical 50
2017
Later among the works it cites.
J. Schuecker, S. Goedeke, and M. Helias, arXiv (2017), 1603.01880v3 [q-bio.NC]
2017
Later among the works it cites.
F. Mastrogiuseppe and S. Ostojic, PLOS Comput. Biol. 13
2017
Later among the works it cites.
A. Crisanti and H. Sompolinksy, Phys. Rev. E 98
2018
Later among the works it cites.
D. Martí, N. Brunel, and S. Ostojic, Phys. Rev. E 97
2018
Later among the works it cites.
J. Schuecker, S. Goedeke, and M. Helias, Physical Review X 8
2018
Later among the works it cites.
T. Kühn and M. Helias, Journal of Physics A: Mathematical and Theoretical 51
2018
Later among the works it cites.