메뉴 건너뛰기




Volumn 150, Issue 4, 2013, Pages 658-670

Beyond Inverse Ising Model: Structure of the Analytical Solution

Author keywords

Complex systems; Inverse Ising problem; Maximum entropy models; Statistical learning

Indexed keywords


EID: 84874239118     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-013-0707-y     Document Type: Article
Times cited : (5)

References (34)
  • 1
    • 0001578518 scopus 로고
    • A learning algorithm for Boltzmann machines
    • Ackley, D., Hinton, G., Sejnowski, T.: A learning algorithm for Boltzmann machines. Cogn. Sci. 9, 147 (1985).
    • (1985) Cogn. Sci. , vol.9 , pp. 147
    • Ackley, D.1    Hinton, G.2    Sejnowski, T.3
  • 2
    • 84857876275 scopus 로고    scopus 로고
    • Inverse Ising inference using all the data
    • 090201
    • Aurell, E., Ekeberg, M.: Inverse Ising inference using all the data. Phys. Rev. Lett. 108(9), 090201 (2012).
    • (2012) Phys. Rev. Lett. , vol.108 , Issue.9
    • Aurell, E.1    Ekeberg, M.2
  • 3
    • 80051523092 scopus 로고    scopus 로고
    • Dynamics and performance of susceptibility propagation on synthetic data
    • Aurell, E., Ollion, C., Roudi, Y.: Dynamics and performance of susceptibility propagation on synthetic data. Eur. Phys. J. B 77(4), 587-595 (2010).
    • (2010) Eur. Phys. J. B , vol.77 , Issue.4 , pp. 587-595
    • Aurell, E.1    Ollion, C.2    Roudi, Y.3
  • 4
    • 84874668051 scopus 로고    scopus 로고
    • Inference of sparse combinatorial-control networks from gene-expression data: a message passing approach
    • Bailly-Bechet, M., Braunstein, A., Pagnani, A., Weigt, M., Zecchina, R.: Inference of sparse combinatorial-control networks from gene-expression data: a message passing approach. BMC Bioinform. 11(1), 355 (2010).
    • (2010) BMC Bioinform. , vol.11 , Issue.1 , pp. 355
    • Bailly-Bechet, M.1    Braunstein, A.2    Pagnani, A.3    Weigt, M.4    Zecchina, R.5
  • 5
    • 65549112477 scopus 로고    scopus 로고
    • Inference algorithms for gene networks: a statistical mechanics analysis
    • P12001
    • Braunstein, A., Pagnani, A., Weigt, M., Zecchina, R.: Inference algorithms for gene networks: a statistical mechanics analysis. J. Stat. Mech. 2008(12), P12001 (2008).
    • (2008) J. Stat. Mech. , vol.2008 , Issue.12
    • Braunstein, A.1    Pagnani, A.2    Weigt, M.3    Zecchina, R.4
  • 6
    • 69549122188 scopus 로고    scopus 로고
    • Neuronal couplings between retinal ganglion cells inferred by efficient inverse statistical physics methods
    • Cocco, S., Leibler, S., Monasson, R.: Neuronal couplings between retinal ganglion cells inferred by efficient inverse statistical physics methods. Proc. Natl. Acad. Sci. USA 106, 14058 (2009).
    • (2009) Proc. Natl. Acad. Sci. USA , vol.106 , pp. 14058
    • Cocco, S.1    Leibler, S.2    Monasson, R.3
  • 7
    • 79952216403 scopus 로고    scopus 로고
    • Adaptive cluster expansion for inferring Boltzmann machines with noisy data
    • 090601
    • Cocco, S., Monasson, R.: Adaptive cluster expansion for inferring Boltzmann machines with noisy data. Phys. Rev. Lett. 106(9), 090601 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , Issue.9
    • Cocco, S.1    Monasson, R.2
  • 8
    • 84860378914 scopus 로고    scopus 로고
    • Adaptive cluster expansion for the inverse Ising problem: convergence, algorithm and tests
    • Cocco, S., Monasson, R.: Adaptive cluster expansion for the inverse Ising problem: convergence, algorithm and tests. J. Stat. Phys. 147(2), 252-314 (2012).
    • (2012) J. Stat. Phys. , vol.147 , Issue.2 , pp. 252-314
    • Cocco, S.1    Monasson, R.2
  • 10
    • 80155134838 scopus 로고    scopus 로고
    • The inverse Ising problem for one-dimensional chains with arbitrary finite-range couplings
    • P10021
    • Gori, G., Trombettoni, A.: The inverse Ising problem for one-dimensional chains with arbitrary finite-range couplings. J. Stat. Mech. 2011, P10021 (2011).
    • (2011) J. Stat. Mech. , vol.2011
    • Gori, G.1    Trombettoni, A.2
  • 12
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • Jaynes, E.: Information theory and statistical mechanics. Phys. Rev. 106(4), 620-630 (1957).
    • (1957) Phys. Rev. , vol.106 , Issue.4 , pp. 620-630
    • Jaynes, E.1
  • 13
    • 11944275853 scopus 로고
    • Information theory and statistical mechanics. II
    • Jaynes, E.: Information theory and statistical mechanics. II. Phys. Rev. 108(2), 171 (1957).
    • (1957) Phys. Rev. , vol.108 , Issue.2 , pp. 171
    • Jaynes, E.1
  • 14
    • 0001000562 scopus 로고    scopus 로고
    • Efficient learning in Boltzmann machines using linear response theory
    • Kappen, H., Rodriguez, F.: Efficient learning in Boltzmann machines using linear response theory. Neural Comput. 10, 1137-1156 (1998).
    • (1998) Neural Comput. , vol.10 , pp. 1137-1156
    • Kappen, H.1    Rodriguez, F.2
  • 15
    • 77956585052 scopus 로고    scopus 로고
    • Turnover, account value and diversification of real traders: evidence of collective portfolio optimizing behavior
    • 075039
    • de Lachapelle, D., Challet, D.: Turnover, account value and diversification of real traders: evidence of collective portfolio optimizing behavior. New J. Phys. 12, 075039 (2010).
    • (2010) New J. Phys. , vol.12
    • de Lachapelle, D.1    Challet, D.2
  • 16
    • 46449120340 scopus 로고    scopus 로고
    • Specialization and herding behavior of trading firms in a financial market
    • 043019
    • Lillo, F., Moro, E., Vaglica, G., Mantegna, N.: Specialization and herding behavior of trading firms in a financial market. New J. Phys. 10, 043019 (2008).
    • (2008) New J. Phys. , vol.10
    • Lillo, F.1    Moro, E.2    Vaglica, G.3    Mantegna, N.4
  • 17
    • 77149122371 scopus 로고    scopus 로고
    • Intrinsic limitations of the susceptibility propagation inverse inference for the mean field Ising spin glass
    • P02008
    • Marinari, E., van Kerrebroeck, V.: Intrinsic limitations of the susceptibility propagation inverse inference for the mean field Ising spin glass. J. Stat. Mech. 2010, P02008 (2010).
    • (2010) J. Stat. Mech. , vol.2010
    • Marinari, E.1    van Kerrebroeck, V.2
  • 19
    • 70149115237 scopus 로고    scopus 로고
    • Constraint satisfaction problems and neural networks: a statistical physics perspective
    • Mézard, M., Mora, T.: Constraint satisfaction problems and neural networks: a statistical physics perspective. J. Physiol. Paris 103, 107-113 (2009).
    • (2009) J. Physiol. Paris , vol.103 , pp. 107-113
    • Mézard, M.1    Mora, T.2
  • 21
    • 84858776397 scopus 로고    scopus 로고
    • Bethe-Peierls approximation and the inverse Ising problem
    • P03,004
    • Nguyen, H., Berg, J.: Bethe-Peierls approximation and the inverse Ising problem. J. Stat. Mech. Theory Exp. 2012(03), P03, 004 (2012).
    • (2012) J. Stat. Mech. Theory Exp. , vol.2012 , Issue.3
    • Nguyen, H.1    Berg, J.2
  • 22
    • 84866316923 scopus 로고    scopus 로고
    • The Bethe approximation for solving the inverse Ising problem: a comparison with other inference methods
    • P08015
    • Ricci-Tersenghi, F.: The Bethe approximation for solving the inverse Ising problem: a comparison with other inference methods. J. Stat. Mech. 2012(08), P08015 (2012).
    • (2012) J. Stat. Mech. , vol.2012 , Issue.8
    • Ricci-Tersenghi, F.1
  • 23
    • 77949406582 scopus 로고    scopus 로고
    • Statistical physics of pairwise probability models
    • Roudi, Y., Aurell, E., Hertz, J.: Statistical physics of pairwise probability models. Front. Comput. Neurosci. 3(22), 1-15 (2009).
    • (2009) Front. Comput. Neurosci. , vol.3 , Issue.22 , pp. 1-15
    • Roudi, Y.1    Aurell, E.2    Hertz, J.3
  • 24
    • 79251468767 scopus 로고    scopus 로고
    • Mean field theory for nonequilibrium network reconstruction
    • 048702
    • Roudi, Y., Hertz, J.: Mean field theory for nonequilibrium network reconstruction. Phys. Rev. Lett. 106(4), 048702 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , Issue.4
    • Roudi, Y.1    Hertz, J.2
  • 25
    • 33646170322 scopus 로고    scopus 로고
    • Weak pairwise correlations imply strongly correlated network states in a neural population
    • Schneidman, E., Berry, M. II, Segev, R., Bialek, W.: Weak pairwise correlations imply strongly correlated network states in a neural population. Nature 440, 1007-1012 (2006).
    • (2006) Nature , vol.440 , pp. 1007-1012
    • Schneidman, E.1    Berry II, M.2    Segev, R.3    Bialek, W.4
  • 26
    • 64549086225 scopus 로고    scopus 로고
    • Small-correlation expansions for the inverse Ising problem
    • 055, 001
    • Sessak, V., Monasson, R.: Small-correlation expansions for the inverse Ising problem. J. Phys. A, Math. Theor. 42, 055, 001 (2009).
    • (2009) J. Phys. A, Math. Theor. , vol.42
    • Sessak, V.1    Monasson, R.2
  • 29
    • 0001143296 scopus 로고    scopus 로고
    • Mean field theory of Boltzmann machine learning
    • Tanaka, T.: Mean field theory of Boltzmann machine learning. Phys. Rev. E 58, 2302 (1998).
    • (1998) Phys. Rev. E , vol.58 , pp. 2302
    • Tanaka, T.1
  • 31
    • 65749118363 scopus 로고    scopus 로고
    • Graphical models, exponential families, and variational inference
    • Wainwright, M., Jordan, M.: Graphical models, exponential families, and variational inference. Found. Trends Mach. Learn. 1(1-2), 1-305 (2008).
    • (2008) Found. Trends Mach. Learn. , vol.1 , Issue.1-2 , pp. 1-305
    • Wainwright, M.1    Jordan, M.2
  • 32
    • 85146130171 scopus 로고    scopus 로고
    • High-dimensional graphical model selection using ℓ1-regularized logistic regression
    • Wainwright, M., Ravikumar, P., Lafferty, J.: High-dimensional graphical model selection using ℓ1-regularized logistic regression. Adv. Neural Inf. 19, 1465-1472 (2006).
    • (2006) Adv. Neural Inf. , vol.19 , pp. 1465-1472
    • Wainwright, M.1    Ravikumar, P.2    Lafferty, J.3
  • 33
    • 58549114185 scopus 로고    scopus 로고
    • Identification of direct residue contacts in protein-protein interaction by message passing
    • Weigt, M., White, R., Szurmant, H., Hoch, J., Hwa, T.: Identification of direct residue contacts in protein-protein interaction by message passing. Proc. Natl. Acad. Sci. USA 106, 67 (2009).
    • (2009) Proc. Natl. Acad. Sci. USA , vol.106 , pp. 67
    • Weigt, M.1    White, R.2    Szurmant, H.3    Hoch, J.4    Hwa, T.5
  • 34
    • 0037216891 scopus 로고    scopus 로고
    • Approximate inference in Boltzmann machines
    • Welling, M., Teh, Y.: Approximate inference in Boltzmann machines. Artif. Intell. 143(1), 19-50 (2003).
    • (2003) Artif. Intell. , vol.143 , Issue.1 , pp. 19-50
    • Welling, M.1    Teh, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.