Statistical physics for Machine learning and Optimization

Regression

• C. Furtlehner, Free dynamics of feature learning processes , arXiv:2210.10702 (2022)

Belief Propagation & Traffic Inference

• C. Furtlehner, J.M. Lasgouttes, A. Attanasi,M. Pezzulla and G. Gentile Short-term Forecasting of Urban Traffic using Spatio-Temporal Markov Field , IEEE Trans. on Int. Transportation Sys. (2021)
• V. Martin, J.M. Lasgouttes and C. Furtlehner Latent binary MRF for online reconstruction of large scale systems, Ann. Math. Artif. Intell.,Vol 74, No 3-4 (2015)
• V. Martin,C. Furtlehner, Y. Han and J.M. Lasgouttes GMRF Estimation under Topological and Spectral Constraints, ECML (2014)
• S. Kataoka, M. Yasuda, C. Furtlehner and K. Tanaka, Traffic data reconstruction based on Markov random field modeling, Inv. Problems 30, 2 (2014)
• C. Furtlehner, Pairwise MRF Models Selection for Traffic Inference Interdisciplinary Information Sciences,Vol.19,No 1 pp 17-22(2013)
• C. Furtlehner, An Ising Model for Road Traffic Inference, in "From Hamiltonian Chaos to Complex Systems: a Nonlinear Physics Approach", Xavier Leoncini and Marc Leonetti (Ed.) (2012)
• V. Martin, J.M. Lasgouttes and C. Furtlehner, Local stability of belief propagation algorithm with multiple fixed points. In STAIRS'12 - Symposium, Montpellier, France (2012).
• C. Furtlehner, Y. Han, J.M. Lasgouttes, V. Martin and F. Moutarde, Propagation of information on undirected dependency graphs for road traffic inference. In CCT'11 - Chaos, Complexity and Transport, Marseille (2011)
• C. Furtlehner,Y. Han,J.M. Lasgouttes,V. Martin,F. Marchal,F. Moutarde Spatial and Temporal Analysis of Traffic States on Large Scale Networks ITSC 2010
• C.Furtlehner and J.M. Lasgouttes, Loopy Belief Propagation Inference with a Prescribed Fixed Point. preprint 2008
• C.Furtlehner, J.M. Lasgouttes and A. De La Fortelle, A Belief-propagation approach to traffic prediction using probe vehicles. in Proceedings of 10th IEEE Conf. of Intelligent Transportation Systems,pp. 1022-1027, 2007

Inverse Ising Problem and RBM

• N. Bereux, A. Decelle, C. Furtlehner and B. Seoane Learning a Restricted Boltzmann Machine using biased Monte Carlo sampling arXiv:2206.01310 (2022)
• A. Decelle and C. Furtlehner Exact Training of Restricted Boltzmann Machines on Intrinsically Low Dimensional Data Phys. Rev. Lett. 127, 158303 (2021)
• A. Decelle and C. Furtlehner, Seoane, B. Equilibrium and NonEquilibrium regime in the learning of Restricted Boltzmann Machines NeurIPS proc. (2021)
• A. Decelle and C. Furtlehner Restricted Boltzmann Machine, recent advances and mean-field theory Chin. Phys. B, Vol. 30(4): 040202 (2021)
• A. Decelle and C. Furtlehner Gaussian-Spherical Restricted Boltzmann Machines J.Phys A:math. & Th. (2020)
• A. Decelle, G. Fissore and C. Furtlehner Thermodynamics of Restricted Boltzmann Machines and Related Learning Dynamics JStatPhys. (2018)
• A. Decelle, G. Fissore and C. Furtlehner Spectral Dynamics of Learning Restricted Boltzmann Machines EPL (2017) 119,6: 60001.
• C. Furtlehner, A. Decelle Cycle-based Cluster Variational Method for Direct and Inverse Inference J Stat Phys (2016) 164: 531.
• C. Furtlehner, Approximate inverse Ising models close to a Bethe reference point J.Stat.Mech. (2013) P09020
• C. Furtlehner, J.M. Lasgouttes and A. Auger, Learning Multiple Belief Propagation Fixed Point for Real Time Inference. Physica A, 389 (2010) 149-163

Space Weather forecasting

• M. Chandorkar, C. Furtlehner, B. Poduval, E. Camporeale, M. Sebag, Dynamic Time Lag Regression: predicting what & when , ICLR (2020)

Clustering

• X. Zhang, C. Furtlehner, C. Germain-Renaud, M. Sebag: Data Stream Clustering With Affinity Propagation. IEEE Trans. Knowl. Data Eng. 26(7): 1644-1656 (2014)
• C. Furtlehner, M. Sebag and X. Zhang, Scaling Analysis of Affinity Propagation. Phys.Rev. E 81,066102 (2010) 14pp
• X. Zhang,C. Furtlehner, J. Perez, C. Germain-Renaud, M. Sebag Toward Autonomic Grids: Analyzing the Job Flow with Affinity Streaming KDD 2009
• X. Zhang, C. Furtlehner, M. Sebag Data Streaming with Affinity Propagation. ECML (2008)

Combinatorial Optimization

• C. Furtlehner, M. Schoenauer, Multi-Objective 3-SAT with Survey-Propagation NIPS Workshop on Discrete Optimization in Machine Learning: Structures, Algorithms and Applications (DISCML), Canada (2010)
• J.Chavas, C.Furtlehner, M.Mezard and R. Zecchina, Survey-propagation decimation through distributed local computations Journal of Statistical Mechanics - Theory and Experiment (2005) P11016.

Stochastic particles systems

Multi-types exclusion processes

• G.Fayolle and C. Furtlehner, About Hydrodynamic Limit of Some Exclusion Processes via Functional Integration International. Mathematical Conference "50 YEARS OF IITP", Russie (2011)
• G. Fayolle and C. Furtlehner, Stochastic Dynamics of Discrete Curves and Multi-Type Exclusion Processes.J. Stat. Phys. Vol.127, No 5 (2007), 1049-1094.
• G. Fayolle and C. Furtlehner, Stochastic deformations of sample paths of random walks and exclusion models in Proc. of 3rd Colloquium of Mathematics and Computer Science. Mathematics and Computer Science III: Algorithms, Trees, Combinatorics and Probabilities, Birkhäuser, Basel (2004) 415-428.
• G. Fayolle and C. Furtlehner, Dynamical Windings of Random Walks and Exclusion Models. Part I: Thermodynamic Limit in Z^2. J. Stat. Phys. Vol. 114, No 1-2 (2004), 229-260.

Microscopic Models for Traffic

• C.Furtlehner, J.M. Lasgouttes and M. Samsonov, One-dimensional particle processes with acceleration/braking asymmetry. Journal of Statistical Physics, 147(6):1113-1144 (2012).
• C. Furtlehner, J.M. Lasgouttes and M. Samsonov, The fundamental diagram on the ring geometry for particle processes with acceleration/braking asymmetry. In TGF'11 - Traffic and Granular Flow, Moscow (2011).
• C.Furtlehner and J.M. Lasgouttes, A queueing theory approach for a multi-speed exclusion process. in Proceedings of Traffic and Granular Flow (2007), 129-138

older papers

Habilitation thesis

• Statistical Physics Methods for Machine Learning and Traffic Forecasting (18/06/2020)

Research Reports

• A. Decelle, Giancarlo Fissore and C. Furtlehner Thermodynamics of Restricted Boltzmann Machines and Related Learning Dynamics . Inria RR-9139 (2018)
• C. Furtlehner and A. Decelle Cycle-based Cluster Variational Method for Direct and Inverse Inference . Inria RR-8788 (2015)
• V. Martin, J.M. Lasgouttes and C. Furtlehner, Using Latent Binary Variables for Online Reconstruction of Large Scale Systems . Inria RR-8435 (2013)
• C. Furtlehner, Y. Han, J.M. Lasgouttes and V. Martin, Pairwise MRF Calibration by Perturbation of the Bethe Reference Point. Inria RR-8059 (2012)
• V. Martin, J.M. Lasgouttes and C. Furtlehner, The role of Normalization in the Belief-Propagation Algorithm. Inria RR-7514 (2010)
• C. Furtlehner and Marc Schoenauer, Multi Objectives 3-SAT Problems addressed with Message Passing Techniques. Inria RR-7424 (2010)
• M. Samsonov, C. Furtlehner and J.M. Lasgouttes, Exactly Solvable Stochastic Processes for Traffic Moelling. Inria RR-7278 (2010)
• C. Furtlehner, M. Sebag and X. Zhang, Scaling Analysis of the Affinity Propagation Algorithm. Inria RR-7046 (2009)
• C.Furtlehner, J.M. Lasgouttes and A. Auger Learning Multiple Belief Propagation Fixed Points for Real Time Inference. Inria RR-6887, (2009)
• C.Furtlehner, J.M. Lasgouttes and A. De La Fortelle, Belief-propagation and Bethe Approximation for traffic prediction.INRIA RR-6144 (2007)
• G. Fayolle and C. Furtlehner, Stochastic Dynamics of Discrete Curves and Exclusion Processes. Part 2: Functional Equations and Continuous Descriptions. INRIA RR-5808 (2006)
• C. Furtlehner, A. De La Fortelle and J.M. Lasgouttes, Belief-Propagation Algorithm for a Traffic Prediction System based on Probe Vehicles. Inria RR-5807 (2006)
• G. Fayolle and C. Furtlehner, Stochastic Dynamics of Discrete Curves and Exclusion Processes. Part 1: Hydrodynamic Limit of the ASEP System. INRIA RR-5793 (2005)
• G. Fayolle and C. Furtlehner, Stochastic Deformations of Sample Paths of Random Walks and Exclusion Models. INRIA RR-5106 (2004)
• C. Furtlehner, Stochastic Model of Automatic Traffic Service Controlled by Lattice Coulomb Interactions. INRIA RR-4681 (2002)
• G. Fayolle and , C. Furtlehner, Dynamical Windings of Random Walks and Exclusion Models.Part I: Thermodynamic Limit. INRIA RR-4608 (2002).