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Wainrib, Gilles

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 Author ID: wainrib.gilles Published as: Wainrib, G.; Wainrib, Gilles
 Documents Indexed: 23 Publications since 2010
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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
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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
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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)

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 1232.60019
Pakdaman, K.; Thieullen, M.; Wainrib, G.
2010
Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models. Zbl 1255.60126
Riedler, Martin Georg; Thieullen, Michèle; Wainrib, Gilles
2012
Double averaging principle for periodically forced stochastic slow-fast systems. Zbl 1297.70015
Wainrib, Gilles
2013
Diffusion approximation of birth-death processes: comparison in terms of large deviations and exit points. Zbl 1204.60082
Pakdaman, Khashayar; Thieullen, Michèle; Wainrib, Gilles
2010
Index distribution of the Ginibre ensemble. Zbl 1290.82024
Allez, Romain; Touboul, Jonathan; Wainrib, Gilles
2014
Multiscale analysis of slow-fast neuronal learning models with noise. Zbl 1291.60119
Galtier, Mathieu; Wainrib, Gilles
2012
Asymptotic expansion and central limit theorem for multiscale piecewise-deterministic Markov processes. Zbl 1261.60031
Pakdaman, Khashayar; Thieullen, Michèle; Wainrib, Gilles
2012
Intrinsic variability of latency to first-spike. Zbl 1248.92017
Wainrib, Gilles; Thieullen, Michèle; Pakdaman, Khashayar
2010
Random walks on binary strings applied to the somatic hypermutation of B-cells. Zbl 1392.92022
Balelli, Irene; Milišić, Vuk; Wainrib, Gilles
2018
A local echo state property through the largest Lyapunov exponent. Zbl 1418.62358
Wainrib, Gilles; Galtier, Mathieu N.
2016
The asymptotic performance of linear echo state neural networks. Zbl 1392.68341
Couillet, Romain; Wainrib, Gilles; Sevi, Harry; Ali, Hafiz Tiomoko
2016
Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076
Touboul, Jonathan; Wainrib, Gilles
2015
The real Ginibre ensemble with $$k=O(n)$$ real eigenvalues. Zbl 1343.15024
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles
2016
Relative entropy minimizing noisy non-linear neural network to approximate stochastic processes. Zbl 1347.60063
Galtier, Mathieu N.; Marini, Camille; Wainrib, Gilles; Jaeger, Herbert
2014
A biological gradient descent for prediction through a combination of STDP and homeostatic plasticity. Zbl 1415.92017
Galtier, Mathieu N.; Wainrib, Gilles
2013
Optimal system size for complex dynamics in random neural networks near criticality. Zbl 1331.92021
Wainrib, Gilles; del Molino, Luis Carlos García
2013
Multi-type Galton-Watson processes with affinity-dependent selection applied to antibody affinity maturation. Zbl 1415.92129
Balelli, Irene; Milišić, Vuk; Wainrib, Gilles
2019
Some numerical methods for rare events simulation and analysis. Zbl 06891911
Wainrib, Gilles
2013
A brief introduction to large deviations theory. Zbl 1390.60113
Wainrib, Gilles
2013
Multi-type Galton-Watson processes with affinity-dependent selection applied to antibody affinity maturation. Zbl 1415.92129
Balelli, Irene; Milišić, Vuk; Wainrib, Gilles
2019
Random walks on binary strings applied to the somatic hypermutation of B-cells. Zbl 1392.92022
Balelli, Irene; Milišić, Vuk; Wainrib, Gilles
2018
A local echo state property through the largest Lyapunov exponent. Zbl 1418.62358
Wainrib, Gilles; Galtier, Mathieu N.
2016
The asymptotic performance of linear echo state neural networks. Zbl 1392.68341
Couillet, Romain; Wainrib, Gilles; Sevi, Harry; Ali, Hafiz Tiomoko
2016
The real Ginibre ensemble with $$k=O(n)$$ real eigenvalues. Zbl 1343.15024
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles
2016
Dynamics and absorption properties of stochastic equations with Hölder diffusion coefficients. Zbl 1364.60076
Touboul, Jonathan; Wainrib, Gilles
2015
Index distribution of the Ginibre ensemble. Zbl 1290.82024
Allez, Romain; Touboul, Jonathan; Wainrib, Gilles
2014
Relative entropy minimizing noisy non-linear neural network to approximate stochastic processes. Zbl 1347.60063
Galtier, Mathieu N.; Marini, Camille; Wainrib, Gilles; Jaeger, Herbert
2014
Double averaging principle for periodically forced stochastic slow-fast systems. Zbl 1297.70015
Wainrib, Gilles
2013
A biological gradient descent for prediction through a combination of STDP and homeostatic plasticity. Zbl 1415.92017
Galtier, Mathieu N.; Wainrib, Gilles
2013
Optimal system size for complex dynamics in random neural networks near criticality. Zbl 1331.92021
Wainrib, Gilles; del Molino, Luis Carlos García
2013
Some numerical methods for rare events simulation and analysis. Zbl 06891911
Wainrib, Gilles
2013
A brief introduction to large deviations theory. Zbl 1390.60113
Wainrib, Gilles
2013
Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models. Zbl 1255.60126
Riedler, Martin Georg; Thieullen, Michèle; Wainrib, Gilles
2012
Multiscale analysis of slow-fast neuronal learning models with noise. Zbl 1291.60119
Galtier, Mathieu; Wainrib, Gilles
2012
Asymptotic expansion and central limit theorem for multiscale piecewise-deterministic Markov processes. Zbl 1261.60031
Pakdaman, Khashayar; Thieullen, Michèle; Wainrib, Gilles
2012
Fluid limit theorems for stochastic hybrid systems with application to neuron models. Zbl 1232.60019
Pakdaman, K.; Thieullen, M.; Wainrib, G.
2010
Diffusion approximation of birth-death processes: comparison in terms of large deviations and exit points. Zbl 1204.60082
Pakdaman, Khashayar; Thieullen, Michèle; Wainrib, Gilles
2010
Intrinsic variability of latency to first-spike. Zbl 1248.92017
Wainrib, Gilles; Thieullen, Michèle; Pakdaman, Khashayar
2010
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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
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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
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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)