Edit Profile Wainrib, Gilles Compute Distance To: Compute Author ID: wainrib.gilles Published as: Wainrib, G.; Wainrib, Gilles Documents Indexed: 23 Publications since 2010 all top 5 Co-Authors 3 single-authored 7 Pakdaman, Khashayar 7 Thieullen, Michèle 4 Galtier, Mathieu N. 3 Milišić, Vuk 3 Touboul, Jonathan 2 Balelli, Irene 2 del Molino, Luis Carlos García 1 Ali, Hafiz Tiomoko 1 Allez, Romain 1 Couillet, Romain 1 Jaeger, Herbert 1 Marini, Camille 1 Perthame, Benoît 1 Riedler, Martin Georg 1 Salort, Delphine 1 Sevi, Harry all top 5 Serials 2 Biological Cybernetics 2 Physica D 2 Neural Networks 1 Advances in Applied Probability 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Bulletin of Mathematical Biology 1 Statistics & Probability Letters 1 Neural Computation 1 Stochastic Processes and their Applications 1 Journal of Computational Neuroscience 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Chaos 1 Journal of Machine Learning Research (JMLR) 1 Journal of Physics A: Mathematical and Theoretical 1 The Journal of Mathematical Neuroscience all top 5 Fields 16 Biology and other natural sciences (92-XX) 10 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Partial differential equations (35-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 19 Publications have been cited 119 times in 99 Documents Cited by ▼ Year ▼ Fluid limit theorems for stochastic hybrid systems with application to neuron models. Zbl 1232.60019Pakdaman, K.; Thieullen, M.; Wainrib, G. 36 2010 Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models. Zbl 1255.60126Riedler, Martin Georg; Thieullen, Michèle; Wainrib, Gilles 17 2012 Double averaging principle for periodically forced stochastic slow-fast systems. Zbl 1297.70015Wainrib, Gilles 9 2013 Diffusion approximation of birth-death processes: comparison in terms of large deviations and exit points. Zbl 1204.60082Pakdaman, Khashayar; Thieullen, Michèle; Wainrib, Gilles 8 2010 Index distribution of the Ginibre ensemble. Zbl 1290.82024Allez, Romain; Touboul, Jonathan; Wainrib, Gilles 7 2014 Multiscale analysis of slow-fast neuronal learning models with noise. Zbl 1291.60119Galtier, Mathieu; Wainrib, Gilles 7 2012 Asymptotic expansion and central limit theorem for multiscale piecewise-deterministic Markov processes. Zbl 1261.60031Pakdaman, Khashayar; Thieullen, Michèle; Wainrib, Gilles 6 2012 Intrinsic variability of latency to first-spike. Zbl 1248.92017Wainrib, Gilles; Thieullen, Michèle; Pakdaman, Khashayar 6 2010 Random walks on binary strings applied to the somatic hypermutation of B-cells. Zbl 1392.92022Balelli, Irene; Milišić, Vuk; Wainrib, Gilles 3 2018 A local echo state property through the largest Lyapunov exponent. Zbl 1418.62358Wainrib, Gilles; Galtier, Mathieu N. 3 2016 The asymptotic performance of linear echo state neural networks. Zbl 1392.68341Couillet, Romain; Wainrib, Gilles; Sevi, Harry; Ali, Hafiz Tiomoko 3 2016 Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076Touboul, Jonathan; Wainrib, Gilles 3 2015 The real Ginibre ensemble with \(k=O(n)\) real eigenvalues. Zbl 1343.15024del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles 2 2016 Relative entropy minimizing noisy non-linear neural network to approximate stochastic processes. Zbl 1347.60063Galtier, Mathieu N.; Marini, Camille; Wainrib, Gilles; Jaeger, Herbert 2 2014 A biological gradient descent for prediction through a combination of STDP and homeostatic plasticity. Zbl 1415.92017Galtier, Mathieu N.; Wainrib, Gilles 2 2013 Optimal system size for complex dynamics in random neural networks near criticality. Zbl 1331.92021Wainrib, Gilles; del Molino, Luis Carlos García 2 2013 Multi-type Galton-Watson processes with affinity-dependent selection applied to antibody affinity maturation. Zbl 1415.92129Balelli, Irene; Milišić, Vuk; Wainrib, Gilles 1 2019 Some numerical methods for rare events simulation and analysis. Zbl 06891911Wainrib, Gilles 1 2013 A brief introduction to large deviations theory. Zbl 1390.60113Wainrib, Gilles 1 2013 Multi-type Galton-Watson processes with affinity-dependent selection applied to antibody affinity maturation. Zbl 1415.92129Balelli, Irene; Milišić, Vuk; Wainrib, Gilles 1 2019 Random walks on binary strings applied to the somatic hypermutation of B-cells. Zbl 1392.92022Balelli, Irene; Milišić, Vuk; Wainrib, Gilles 3 2018 A local echo state property through the largest Lyapunov exponent. Zbl 1418.62358Wainrib, Gilles; Galtier, Mathieu N. 3 2016 The asymptotic performance of linear echo state neural networks. Zbl 1392.68341Couillet, Romain; Wainrib, Gilles; Sevi, Harry; Ali, Hafiz Tiomoko 3 2016 The real Ginibre ensemble with \(k=O(n)\) real eigenvalues. Zbl 1343.15024del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles 2 2016 Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076Touboul, Jonathan; Wainrib, Gilles 3 2015 Index distribution of the Ginibre ensemble. Zbl 1290.82024Allez, Romain; Touboul, Jonathan; Wainrib, Gilles 7 2014 Relative entropy minimizing noisy non-linear neural network to approximate stochastic processes. Zbl 1347.60063Galtier, Mathieu N.; Marini, Camille; Wainrib, Gilles; Jaeger, Herbert 2 2014 Double averaging principle for periodically forced stochastic slow-fast systems. Zbl 1297.70015Wainrib, Gilles 9 2013 A biological gradient descent for prediction through a combination of STDP and homeostatic plasticity. Zbl 1415.92017Galtier, Mathieu N.; Wainrib, Gilles 2 2013 Optimal system size for complex dynamics in random neural networks near criticality. Zbl 1331.92021Wainrib, Gilles; del Molino, Luis Carlos García 2 2013 Some numerical methods for rare events simulation and analysis. Zbl 06891911Wainrib, Gilles 1 2013 A brief introduction to large deviations theory. Zbl 1390.60113Wainrib, Gilles 1 2013 Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models. Zbl 1255.60126Riedler, Martin Georg; Thieullen, Michèle; Wainrib, Gilles 17 2012 Multiscale analysis of slow-fast neuronal learning models with noise. Zbl 1291.60119Galtier, Mathieu; Wainrib, Gilles 7 2012 Asymptotic expansion and central limit theorem for multiscale piecewise-deterministic Markov processes. Zbl 1261.60031Pakdaman, Khashayar; Thieullen, Michèle; Wainrib, Gilles 6 2012 Fluid limit theorems for stochastic hybrid systems with application to neuron models. Zbl 1232.60019Pakdaman, K.; Thieullen, M.; Wainrib, G. 36 2010 Diffusion approximation of birth-death processes: comparison in terms of large deviations and exit points. Zbl 1204.60082Pakdaman, Khashayar; Thieullen, Michèle; Wainrib, Gilles 8 2010 Intrinsic variability of latency to first-spike. Zbl 1248.92017Wainrib, Gilles; Thieullen, Michèle; Pakdaman, Khashayar 6 2010 all cited Publications top 5 cited Publications all top 5 Cited by 170 Authors 14 Wainrib, Gilles 9 Thieullen, Michèle 5 Galtier, Mathieu N. 5 Genadot, Alexandre 5 Liu, Jicheng 5 Pakdaman, Khashayar 4 de Saporta, Benoîte 4 Xu, Jie 3 Bressloff, Paul C. 3 Cloez, Bertrand 3 Cunden, Fabio Deelan 3 Fu, Hongbo 3 Löcherbach, Eva 3 Malrieu, Florent 3 Miao, Yu 3 Milišić, Vuk 3 Touboul, Jonathan 3 Vivo, Pierpaolo 3 Wan, Li 2 Azaïs, Romain 2 Bačić, Iva 2 Balelli, Irene 2 Dufour, François 2 Facchi, Paolo 2 Franović, Igor 2 Goreac, Dan 2 Krell, Nathalie 2 Lemaire, Vincent 2 Ligabò, Marilena 2 Luçon, Eric 2 Macci, Claudio 2 MacLaurin, James N. 2 Majumdar, Satya N. 2 Perthame, Benoît 2 Riedler, Martin Georg 2 Stannat, Wilhelm 2 Thomas, Nicolas 2 Yvinec, Romain 2 Zitt, Pierre-André 1 A., Mauricio Tejo 1 Adhikari, Kartick 1 Ali, Hafiz Tiomoko 1 Alkurdi, Taleb 1 Anderson, David Frederick 1 Balachandran, Krishnan 1 Bardet, Jean-Baptiste 1 Basterrech, Sebastián 1 Bäuerle, Nicole 1 Bellec, Guillaume 1 Benaïm, Michel 1 Borchering, Rebecca K. 1 Bossy, Mireille 1 Brandejsky, Adrien 1 Brette, Romain 1 Buckwar, Evelyn 1 Cáceres, María-José 1 Cao, Hongjun 1 Cerrai, Sandra 1 Chen, Qing 1 Chen, Yong 1 Chen, Yueling 1 Cleynen, Alice 1 Couillet, Romain 1 Dale, Matthew 1 De Masi, Anna 1 del Molino, Luis Carlos García 1 Dessalles, Renaud 1 DeVille, Lee 1 Dhar, Abhishek 1 Dhople, Sairaj V. 1 Di Crescenzo, Antonio 1 Domínguez-García, Alejandro D. 1 D’Onofrio, Giuseppe 1 Duarte, Aline 1 Ermentrout, Bard G. 1 Eydam, Sebastian 1 Fontbona, Joaquin 1 Forrester, Peter J. 1 Fournier, Nicolas G. 1 Galves, Antonio 1 Geeraert, Alizée 1 Gerstner, Wulfram 1 Gilles, Wainrib 1 Grabsch, Aurélien 1 Grigoryeva, Lyudmila 1 Großkinsky, Stefan 1 Hairer, Martin 1 Hille, Sander Cornelis 1 Hodara, Pierre 1 Hu, Dongpo 1 Jacobsen, Martin 1 Jaeger, Herbert 1 Jatuviriyapornchai, Watthanan 1 Joubaud, Maud 1 Karakhanyan, Aram L. 1 Khalil, Nagi 1 Khashayar, Pakdaman 1 Kobylanski, Magdalena 1 Konkoli, Zoran 1 Kostal, Lubomir ...and 70 more Authors all top 5 Cited in 56 Serials 8 Journal of Statistical Physics 5 Stochastic Processes and their Applications 4 Journal of Mathematical Biology 4 The Journal of Mathematical Neuroscience 3 Advances in Applied Probability 3 Automatica 3 Physica D 3 Journal of Computational Neuroscience 3 Chaos 3 Journal of Machine Learning Research (JMLR) 2 Journal of Mathematical Analysis and Applications 2 Journal of Applied Probability 2 SIAM Journal on Control and Optimization 2 Journal of Theoretical Probability 2 Neural Networks 2 The Annals of Applied Probability 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Bernoulli 2 Journal of Physics A: Mathematical and Theoretical 2 Nonlinear Analysis. Hybrid Systems 2 Journal of Theoretical Biology 1 Biological Cybernetics 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Journal of Mathematical Psychology 1 Statistics & Probability Letters 1 Journal of Scientific Computing 1 Annals of Operations Research 1 Neural Computation 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Test 1 Electronic Journal of Probability 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Open Systems & Information Dynamics 1 Statistical Inference for Stochastic Processes 1 Probability in the Engineering and Informational Sciences 1 Methodology and Computing in Applied Probability 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Multiscale Modeling & Simulation 1 Advances in Difference Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Networks and Heterogeneous Media 1 International Journal of Stochastic Analysis 1 Research in the Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 25 Fields 68 Probability theory and stochastic processes (60-XX) 45 Biology and other natural sciences (92-XX) 15 Ordinary differential equations (34-XX) 15 Systems theory; control (93-XX) 10 Partial differential equations (35-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Operations research, mathematical programming (90-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Statistics (62-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Computer science (68-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year