Natural Gradient Works Efficiently in Learning, Neural Computation, vol.37, issue.2, pp.251-276, 1998. ,
DOI : 10.1103/PhysRevLett.76.2188
Information- Geometric Optimization Algorithms: A Unifying Picture via Invariance Principles, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00601503
Inference of sparse combinatorial-control networks from gene-expression data: a message passing approach, BMC Bioinformatics, vol.11, issue.1, p.355, 2010. ,
DOI : 10.1186/1471-2105-11-355
URL : https://hal.archives-ouvertes.fr/hal-00539494
Théorie des graphes et ses applications, II of Collection Universitaire des Mathématiques. Dunod, 1967. ,
Loop series for discrete statistical models on graphs, Journal of Statistical Mechanics: Theory and Experiment, vol.2006, issue.06, p.6009, 2006. ,
DOI : 10.1088/1742-5468/2006/06/P06009
Belief propagation and loop series on planar graphs, Journal of Statistical Mechanics: Theory and Experiment, vol.2008, issue.05, pp.5-05003, 2008. ,
DOI : 10.1088/1742-5468/2008/05/P05003
Approximating discrete probability distributions with dependence trees. Information Theory, IEEE Transactions on, vol.14, issue.3, pp.462-467, 1968. ,
Adaptive Cluster Expansion for the Inverse Ising Problem: Convergence, Algorithm and Tests, Journal of Statistical Physics, vol.5, issue.2, pp.252-314, 2012. ,
DOI : 10.1007/s10955-012-0463-4
URL : https://hal.archives-ouvertes.fr/hal-00634921
High-dimensional inference with the generalized Hopfield model: Principal component analysis and corrections, Physical Review E, vol.83, issue.5, p.51123, 2011. ,
DOI : 10.1103/PhysRevE.83.051123
URL : https://hal.archives-ouvertes.fr/hal-00586950
Generalized Iterative Scaling for Log-Linear Models, The Annals of Mathematical Statistics, vol.43, issue.5, pp.1470-1480, 1972. ,
DOI : 10.1214/aoms/1177692379
Inducing features of random fields. Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.19, issue.4, pp.380-393, 1997. ,
Pairwise MRF Calibration by Perturbation of the Bethe Reference Point, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00743334
Spatial and temporal analysis of traffic states on large scale networks, 13th International IEEE Conference on Intelligent Transportation Systems, pp.1215-1220, 2010. ,
DOI : 10.1109/ITSC.2010.5625175
URL : https://hal.archives-ouvertes.fr/hal-00527481
Learning multiple belief propagation fixed points for real time inference, Physica A: Statistical Mechanics and its Applications, vol.389, issue.1, pp.149-163, 2010. ,
DOI : 10.1016/j.physa.2009.08.030
URL : https://hal.archives-ouvertes.fr/inria-00371372
A Belief Propagation Approach to Traffic Prediction using Probe Vehicles, 2007 IEEE Intelligent Transportation Systems Conference, pp.1022-1027, 2007. ,
DOI : 10.1109/ITSC.2007.4357716
URL : https://hal.archives-ouvertes.fr/hal-00175627
How to expand around mean-field theory using high-temperature expansions, Journal of Physics A: Mathematical and General, vol.24, issue.9, p.2173, 1991. ,
DOI : 10.1088/0305-4470/24/9/024
Approximate inference using planar graph decomposition, NIPS, pp.473-480, 2006. ,
Learning and relearning in boltzmann machines In Parallel distributed processing: explorations in the microstructure of cognition, pp.282-317, 1986. ,
Estimation of sparse binary pairwise Markov networks using pseudo-likelihood, pp.883-906, 2009. ,
Neural network and physical systems with emergent collective computational abilities, Proc. of Natl. Acad. Sci. USA, pp.2554-2558, 1982. ,
A Polynomial-Time Algorithm to Find the Shortest Cycle Basis of a Graph, SIAM Journal on Computing, vol.16, issue.2, pp.358-366, 1987. ,
DOI : 10.1137/0216026
Efficient structure learning of Markov networks using L 1 -regularization, NIPS, 2006. ,
Efficient Learning in Boltzmann Machines Using Linear Response Theory, Neural Computation, vol.4, issue.5, pp.1137-1156, 1998. ,
DOI : 10.1162/neco.1994.6.3.341
Sur leprobì eme des courbes gauches en topologie, Fund. Math, vol.15, pp.271-283, 1930. ,
Local computations with probabilities on graphical structures and their application to expert systems, Readings in uncertain reasoning ,
A combinatorial condition for planar graphs, Fund. Math, vol.28, pp.22-32, 1937. ,
A comparison of algorithms for maximum entropy parameter estimation, proceeding of the 6th conference on Natural language learning , COLING-02, pp.49-55, 2002. ,
DOI : 10.3115/1118853.1118871
Constraint satisfaction problems and neural networks: A statistical physics perspective, Journal of Physiology-Paris, vol.103, issue.1-2, pp.1-2, 2009. ,
DOI : 10.1016/j.jphysparis.2009.05.013
How to compute loop corrections to the Bethe approximation, Journal of Statistical Mechanics: Theory and Experiment, vol.2005, issue.10, pp.10-10011, 2005. ,
DOI : 10.1088/1742-5468/2005/10/P10011
Loop corrected belief propagation, Proceedings of the Eleventh International Conference on Artificial Intelligence and Statistics (AISTATS, p.7, 2007. ,
Géométrie et inférence dans l'optimisation et en théorie de l'information, Thèse de doctorat, 2007. ,
Bethe-Peierls approximation and the inverse Ising model, J. Stat. Mech, pp.3501-03004, 1112. ,
Mean-Field Theory for the Inverse Ising Problem at Low Temperatures, Physical Review Letters, vol.109, issue.5, p.50602, 2012. ,
DOI : 10.1103/PhysRevLett.109.050602
Convergence condition of the TAP equation for the infiniteranged Ising spin glass model, J. Phys. A: Mathematical and General, vol.15, issue.6, 1971. ,
Weak pairwise correlations imply strongly correlated network states in a neural population, Nature, vol.37, issue.7087, pp.1007-1012, 2006. ,
DOI : 10.1038/nature04701
Approximate inference in Boltzmann machines, Artificial Intelligence, vol.143, issue.1, pp.19-50, 2003. ,
DOI : 10.1016/S0004-3702(02)00361-2
Linear Response Algorithms for Approximate Inference in Graphical Models, Neural Computation, vol.16, issue.1, pp.197-221, 2004. ,
DOI : 10.1162/08997660260028674
Approximate Learning Algorithm in Boltzmann Machines, Neural Computation, vol.21, issue.11, pp.3130-3178, 2009. ,
DOI : 10.1080/14786437708235992
Generalized belief propagation, Advances in Neural Information Processing Systems, pp.689-695, 2001. ,