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## Delyon, Bernard

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 Author ID: delyon.bernard Published as: Delyon, Bernard; Delyon, B.
 Documents Indexed: 46 Publications since 1986, including 1 Book
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#### Co-Authors

 7 single-authored 13 Juditsky, Anatoli B. 5 Portier, François 3 Benveniste, Albert 3 Briand, Philippe 3 Fuchs, Jean-Jacques J. 3 Zhang, Qinghua 2 Cérou, Frédéric 2 Crouzeix, Michel 2 Glorennec, Pierre-Yves 2 Guyader, Arnaud 2 Hjalmarsson, Håkan 2 Hu, Ying 2 Ljung, Lennart 2 Mémin, Jean 2 Rousset, Mathias 2 Sjöberg, Jonas 2 Yao, Jianfeng 1 Ailliot, Pierre 1 Azaïs, Romain 1 Badea, Catalin 1 Bercu, Bernard 1 Bouthemy, Patrick 1 Chen, Jiaqi 1 Delyon, François 1 Izmailov, Rauf 1 Judisty, Anatoly 1 Lavancier, Frédéric 1 Lavielle, Marc 1 Liptser, Robert 1 Maler, Oded 1 Monbet, Valérie 1 Moulines, Eric 1 Pardoux, Etienne 1 Poinas, Arnaud 1 Prevosto, Marc 1 Rio, Emmanuel 1 Stoica, Lucreţiu 1 Toledo Acosta, Bertha Mayela
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#### Serials

 5 IEEE Transactions on Automatic Control 3 Stochastic Processes and their Applications 3 Bernoulli 2 IEEE Transactions on Information Theory 2 The Annals of Statistics 2 Automatica 2 Journal of Multivariate Analysis 2 Electronic Communications in Probability 1 Advances in Applied Probability 1 Scandinavian Journal of Statistics 1 Theory of Probability and its Applications 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Journal of the American Statistical Association 1 Journal of Approximation Theory 1 Mathematische Zeitschrift 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Dynamics and Control 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Stochastics and Stochastics Reports 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Probability 1 Publications de l’Institut de Recherche de Mathématiques de Rennes 1 SIAM/ASA Journal on Uncertainty Quantification 1 SpringerBriefs in Mathematics
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#### Fields

 21 Probability theory and stochastic processes (60-XX) 16 Statistics (62-XX) 12 Systems theory; control (93-XX) 9 Numerical analysis (65-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 799 times in 728 Documents Cited by Year
$$L^p$$ solutions of backward stochastic differential equations. Zbl 1075.65503
Briand, Ph.; Delyon, B.; Hu, Y.; Pardoux, E.; Stoica, L.
2003
Nonlinear black-box modeling in system identification: A unified overview. Zbl 0846.93018
Sjöberg, Jonas; Zhang, Qinghua; Ljung, Lennart; Benveniste, Albert; Delyon, Bernard; Glorennec, Pierre-Yves; Hjalmarsson, Håkan; Juditsky, Anatoli
1995
Convergence of a stochastic approximation version of the EM algorithm. Zbl 0932.62094
Delyon, Bernard; Lavielle, Marc; Moulines, Eric
1999
On minimax wavelet estimators. Zbl 0865.62023
Delyon, B.; Juditsky, A.
1996
Donsker-type theorem for BSDEs. Zbl 0977.60067
Briand, Philippe; Delyon, Bernard; Mémin, Jean
2001
On the robustness of backward stochastic differential equations. Zbl 1058.60041
Briand, Philippe; Delyon, Bernard; Mémin, Jean
2002
Generalization of von Neumann’s spectral sets and integral representation of operators. Zbl 0937.47004
Delyon, Bernard; Delyon, François
1999
Nonlinear black-box models in system identification: Mathematical foundations. Zbl 0846.93019
Juditsky, Anatoli; Hjalmarsson, Håkan; Benveniste, Albert; Delyon, Bernard; Ljung, Lennart; Sjöberg, Jonas; Zhang, Qinghua
1995
General results on the convergence of stochastic algorithms. Zbl 0867.93075
Delyon, Bernard
1996
Concentration inequalities for sums and martingales. Zbl 1337.60002
Bercu, Bernard; Delyon, Bernard; Rio, Emmanuel
2015
Simulation of conditioned diffusion and application to parameter estimation. Zbl 1107.60046
Delyon, Bernard; Hu, Ying
2006
Accelerated stochastic approximation. Zbl 0801.62071
Delyon, Bernard; Juditsky, Anatoli
1993
On the computation of wavelet coefficients. Zbl 0862.42023
Delyon, Bernard; Juditsky, Anatoli
1997
Some estimates for analytic functions of strip or sectorial operators. Zbl 1060.47006
Crouzeix, Michel; Delyon, Bernard
2003
Convex domains and K-spectral sets. Zbl 1084.47004
Badea, Catalin; Crouzeix, Michel; Delyon, Bernard
2006
Stochastic optimization with averaging of trajectories. Zbl 0765.93081
Delyon, Bernard; Juditsky, Anatoli
1992
Exponential inequalities for sums of weakly dependent variables. Zbl 1191.60021
Delyon, Bernard
2009
Estimating wavelet coefficients. Zbl 0832.62028
Delyon, Bernard; Juditsky, Anatoli
1995
Wavelets in identification. Zbl 0856.93101
Benveniste, A.; Juditsky, A.; Delyon, B.; Zhang, Q.; Glorennec, P.-Y.
1996
A note on uniform observability. Zbl 1031.93047
Delyon, Bernard
2001
On the asymptotic normality of adaptive multilevel splitting. Zbl 1412.82029
Cérou, Frédéric; Delyon, Bernard; Guyader, Arnaud; Rousset, Mathias
2019
Optimal transformation: a new approach for covering the central subspace. Zbl 1258.62074
Portier, François; Delyon, Bernard
2013
Integral approximation by kernel smoothing. Zbl 1345.60013
Delyon, Bernard; Portier, François
2016
On a model selection problem from high-dimensional sample covariance matrices. Zbl 1219.62090
Chen, Jiaqi; Delyon, B.; Yao, J.-F.
2011
On minimax identification of nonparametric autoregressive models. Zbl 0953.62083
Delyon, Bernard; Juditsky, Anatoli
2000
A central limit theorem for Fleming-Viot particle systems. Zbl 1447.82021
Cérou, Frédéric; Delyon, Bernard; Guyader, Arnaud; Rousset, Mathias
2020
Mixing properties and central limit theorem for associated point processes. Zbl 1466.60101
Poinas, Arnaud; Delyon, Bernard; Lavancier, Frédéric
2019
Bootstrap testing of the rank of a matrix via least-squared constrained estimation. Zbl 1367.62043
Portier, François; Delyon, Bernard
2014
Asymptotical study of parameter tracking algorithms. Zbl 0823.93060
Delyon, Bernard; Juditsky, Anatoli
1995
On the effects of noise and speed on computations. Zbl 0822.68069
Delyon, Bernard; Maler, Oded
1994
Concentration inequalities for the spectral measure of random matrices. Zbl 1225.15032
Delyon, Bernard
2010
Moderate deviation principle for ergodic Markov chain. Lipschitz summands. Zbl 1103.60027
Delyon, Bernard; Judisty, Anatoly; Liptser, Robert
2006
On the spectral distribution of Gaussian random matrices. Zbl 1101.60323
Delyon, B.; Yao, J.
2006
On the projection algorithm and delay of peaking in adaptive control. Zbl 0777.93058
Delyon, Bernard; Izmailov, Rauf; Juditsky, Anatoli
1993
When is adaptive better than optimal? Zbl 0790.93084
Fuchs, J. J.; Delyon, B.
1993
Integral estimation based on Markovian design. Zbl 1436.62397
Azaïs, Romain; Delyon, Bernard; Portier, François
2018
A central limit theorem for Fleming-Viot particle systems. Zbl 1447.82021
Cérou, Frédéric; Delyon, Bernard; Guyader, Arnaud; Rousset, Mathias
2020
On the asymptotic normality of adaptive multilevel splitting. Zbl 1412.82029
Cérou, Frédéric; Delyon, Bernard; Guyader, Arnaud; Rousset, Mathias
2019
Mixing properties and central limit theorem for associated point processes. Zbl 1466.60101
Poinas, Arnaud; Delyon, Bernard; Lavancier, Frédéric
2019
Integral estimation based on Markovian design. Zbl 1436.62397
Azaïs, Romain; Delyon, Bernard; Portier, François
2018
Integral approximation by kernel smoothing. Zbl 1345.60013
Delyon, Bernard; Portier, François
2016
Concentration inequalities for sums and martingales. Zbl 1337.60002
Bercu, Bernard; Delyon, Bernard; Rio, Emmanuel
2015
Bootstrap testing of the rank of a matrix via least-squared constrained estimation. Zbl 1367.62043
Portier, François; Delyon, Bernard
2014
Optimal transformation: a new approach for covering the central subspace. Zbl 1258.62074
Portier, François; Delyon, Bernard
2013
On a model selection problem from high-dimensional sample covariance matrices. Zbl 1219.62090
Chen, Jiaqi; Delyon, B.; Yao, J.-F.
2011
Concentration inequalities for the spectral measure of random matrices. Zbl 1225.15032
Delyon, Bernard
2010
Exponential inequalities for sums of weakly dependent variables. Zbl 1191.60021
Delyon, Bernard
2009
Simulation of conditioned diffusion and application to parameter estimation. Zbl 1107.60046
Delyon, Bernard; Hu, Ying
2006
Convex domains and K-spectral sets. Zbl 1084.47004
Badea, Catalin; Crouzeix, Michel; Delyon, Bernard
2006
Moderate deviation principle for ergodic Markov chain. Lipschitz summands. Zbl 1103.60027
Delyon, Bernard; Judisty, Anatoly; Liptser, Robert
2006
On the spectral distribution of Gaussian random matrices. Zbl 1101.60323
Delyon, B.; Yao, J.
2006
$$L^p$$ solutions of backward stochastic differential equations. Zbl 1075.65503
Briand, Ph.; Delyon, B.; Hu, Y.; Pardoux, E.; Stoica, L.
2003
Some estimates for analytic functions of strip or sectorial operators. Zbl 1060.47006
Crouzeix, Michel; Delyon, Bernard
2003
On the robustness of backward stochastic differential equations. Zbl 1058.60041
Briand, Philippe; Delyon, Bernard; Mémin, Jean
2002
Donsker-type theorem for BSDEs. Zbl 0977.60067
Briand, Philippe; Delyon, Bernard; Mémin, Jean
2001
A note on uniform observability. Zbl 1031.93047
Delyon, Bernard
2001
On minimax identification of nonparametric autoregressive models. Zbl 0953.62083
Delyon, Bernard; Juditsky, Anatoli
2000
Convergence of a stochastic approximation version of the EM algorithm. Zbl 0932.62094
Delyon, Bernard; Lavielle, Marc; Moulines, Eric
1999
Generalization of von Neumann’s spectral sets and integral representation of operators. Zbl 0937.47004
Delyon, Bernard; Delyon, François
1999
On the computation of wavelet coefficients. Zbl 0862.42023
Delyon, Bernard; Juditsky, Anatoli
1997
On minimax wavelet estimators. Zbl 0865.62023
Delyon, B.; Juditsky, A.
1996
General results on the convergence of stochastic algorithms. Zbl 0867.93075
Delyon, Bernard
1996
Wavelets in identification. Zbl 0856.93101
Benveniste, A.; Juditsky, A.; Delyon, B.; Zhang, Q.; Glorennec, P.-Y.
1996
Nonlinear black-box modeling in system identification: A unified overview. Zbl 0846.93018
Sjöberg, Jonas; Zhang, Qinghua; Ljung, Lennart; Benveniste, Albert; Delyon, Bernard; Glorennec, Pierre-Yves; Hjalmarsson, Håkan; Juditsky, Anatoli
1995
Nonlinear black-box models in system identification: Mathematical foundations. Zbl 0846.93019
Juditsky, Anatoli; Hjalmarsson, Håkan; Benveniste, Albert; Delyon, Bernard; Ljung, Lennart; Sjöberg, Jonas; Zhang, Qinghua
1995
Estimating wavelet coefficients. Zbl 0832.62028
Delyon, Bernard; Juditsky, Anatoli
1995
Asymptotical study of parameter tracking algorithms. Zbl 0823.93060
Delyon, Bernard; Juditsky, Anatoli
1995
On the effects of noise and speed on computations. Zbl 0822.68069
Delyon, Bernard; Maler, Oded
1994
Accelerated stochastic approximation. Zbl 0801.62071
Delyon, Bernard; Juditsky, Anatoli
1993
On the projection algorithm and delay of peaking in adaptive control. Zbl 0777.93058
Delyon, Bernard; Izmailov, Rauf; Juditsky, Anatoli
1993
When is adaptive better than optimal? Zbl 0790.93084
Fuchs, J. J.; Delyon, B.
1993
Stochastic optimization with averaging of trajectories. Zbl 0765.93081
Delyon, Bernard; Juditsky, Anatoli
1992
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#### Cited by 1,068 Authors

 26 Fan, Shengjun 19 Chesneau, Christophe 17 Klimsiak, Tomasz 13 Novara, Carlo 12 Lavielle, Marc 12 Samson, Adeline 11 Milanese, Mario 10 Delyon, Bernard 10 Jiang, Long 10 Popier, Alexandre 9 Yong, Jiongmin 8 Allassonnière, Stéphanie 8 Hu, Feng 8 Hu, Ying 8 Kuhn, Estelle 7 Doosti, Hassan 7 Hjalmarsson, Håkan 7 Ljung, Lennart 6 Bai, Erwei 6 Billings, Stephen A. 6 Briand, Philippe 6 Geiss, Christel 6 Labart, Céline 6 Lepskiĭ, Oleg Vital’evich 6 Liu, Youming 6 Portier, François 6 Rozkosz, Andrzej 6 Tang, Shanjian 6 Zong, Zhaojun 5 Cournède, Paul-Henry 5 Ding, Feng 5 Fan, Xiequan 5 Kruse, Thomas 5 Moulines, Eric 5 Possamaï, Dylan 5 Trevezas, Samis 5 Xu, Mingyu 5 Zhang, Shuanglin 5 Zhao, Wen-Xiao 4 Chen, Zengjing 4 Confortola, Fulvia 4 Crouzeix, Michel 4 Del Moral, Pierre 4 Gobet, Emmanuel 4 Golightly, Andrew 4 Guyader, Arnaud 4 Hu, Jinglu 4 Lachos Dávila, Víctor Hugo 4 Li, Kang 4 Lu, Tao 4 Meza, Cristian 4 Peng, Shige 4 Piroddi, Luigi 4 Richou, Adrien 4 Russo, Francesco 4 Sanguineti, Marcello 4 Stadje, Mitja 4 Vihola, Matti 4 Xu, Zi 4 Yao, Song 4 Zhang, Qinghua 4 Zheng, Zhongguo 3 Aman, Auguste 3 Anderson, Sean R. 3 Castro, Luis Mauricio 3 Cérou, Frédéric 3 Chassagneux, Jean-François 3 Chen, Huibo 3 Cheng, Changming 3 Cohen, Guy 3 Donnet, Sophie 3 Essaky, El Hassan 3 Fort, Gersende 3 Geiss, Stefan 3 Hassani, Mohammed 3 Hirasawa, Kotaro 3 Hu, Mingshang 3 Juditsky, Anatoli B. 3 Kadirkamanathan, Visakan 3 Kawai, Reiichiro 3 Kou, Junke 3 Lionnet, Arnaud 3 Loubes, Jean-Michel 3 Lužanin, Zorana 3 Matoussi, Anis 3 Mémin, Jean 3 Mentré, France 3 Mokkadem, Abdelkader 3 Pelletier, Mariane 3 Qiu, Jinniao 3 Rio, Emmanuel 3 Rivoirard, Vincent 3 Rousset, Mathias 3 Schoukens, Johan 3 Słomiński, Leszek 3 Sommer, Stefan 3 Spokoiny, Vladimir G. 3 Stojkovska, Irena 3 Suykens, Johan A. K. 3 Tian, Dejian ...and 968 more Authors
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#### Cited in 216 Serials

 52 Automatica 47 Stochastic Processes and their Applications 24 The Annals of Statistics 23 International Journal of Control 22 Computational Statistics and Data Analysis 19 Journal of Mathematical Analysis and Applications 18 Statistics & Probability Letters 17 Bernoulli 15 Statistics and Computing 13 The Annals of Applied Probability 11 Journal of Functional Analysis 11 Communications in Statistics. Theory and Methods 10 Journal of Multivariate Analysis 9 Probability Theory and Related Fields 9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 9 Stochastics 9 Electronic Journal of Statistics 7 Statistics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Stochastics and Dynamics 6 Advances in Applied Probability 6 Annals of the Institute of Statistical Mathematics 6 The Annals of Probability 6 Journal of Statistical Planning and Inference 6 Stochastic Analysis and Applications 6 International Journal of Adaptive Control and Signal Processing 6 Computational Statistics 6 Electronic Communications in Probability 5 Biometrics 5 Mathematics and Computers in Simulation 5 SIAM Journal on Control and Optimization 5 Systems & Control Letters 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Theoretical Probability 5 Journal of Statistical Computation and Simulation 5 Potential Analysis 5 Bulletin des Sciences Mathématiques 5 Acta Mathematica Sinica. English Series 4 Fuzzy Sets and Systems 4 SIAM Journal on Matrix Analysis and Applications 4 Neural Networks 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Mathematical Methods of Statistics 4 Electronic Journal of Probability 4 European Journal of Control 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Chaos 4 Journal of Applied Statistics 4 The Annals of Applied Statistics 4 Journal of Theoretical Biology 4 Probability, Uncertainty and Quantitative Risk 3 International Journal of Systems Science 3 Journal of the Franklin Institute 3 Applied Mathematics and Computation 3 Journal of Applied Probability 3 Journal of Computational and Applied Mathematics 3 Transactions of the American Mathematical Society 3 Applied Numerical Mathematics 3 Neural Computation 3 Nonlinear Dynamics 3 Optimization Methods & Software 3 Methodology and Computing in Applied Probability 3 Journal of Applied Mathematics and Computing 3 Optimization Letters 3 Science China. Mathematics 3 Journal of Agricultural, Biological, and Environmental Statistics 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 The Canadian Journal of Statistics 2 Studia Mathematica 2 Applied Mathematics and Optimization 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Numerical Analysis 2 Chinese Annals of Mathematics. Series B 2 Statistical Science 2 International Journal of Approximate Reasoning 2 Asia-Pacific Journal of Operational Research 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Applied Mathematics and Stochastic Analysis 2 Applied Mathematical Modelling 2 Communications in Statistics. Simulation and Computation 2 Linear Algebra and its Applications 2 Mathematical Programming. Series A. Series B 2 International Journal of Robust and Nonlinear Control 2 Test 2 SIAM Journal on Scientific Computing 2 Random Operators and Stochastic Equations 2 Monte Carlo Methods and Applications 2 Complexity 2 Journal of Nonparametric Statistics 2 Finance and Stochastics 2 International Journal of Theoretical and Applied Finance 2 Communications of the Korean Mathematical Society 2 Brazilian Journal of Probability and Statistics 2 Journal of Evolution Equations 2 Journal of Machine Learning Research (JMLR) 2 Statistical Methods and Applications 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Statistical Analysis and Data Mining ...and 116 more Serials
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#### Cited in 38 Fields

 326 Probability theory and stochastic processes (60-XX) 257 Statistics (62-XX) 177 Systems theory; control (93-XX) 134 Numerical analysis (65-XX) 47 Partial differential equations (35-XX) 37 Operator theory (47-XX) 35 Computer science (68-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Operations research, mathematical programming (90-XX) 25 Biology and other natural sciences (92-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 19 Ordinary differential equations (34-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 10 Functional analysis (46-XX) 8 Information and communication theory, circuits (94-XX) 7 Approximations and expansions (41-XX) 3 Number theory (11-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)