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Author ID: biau.gerard Recent zbMATH articles by "Biau, Gérard"
Published as: Biau, Gérard; Biau, G.
External Links: MGP
Documents Indexed: 63 Publications since 2001, including 1 Book
Co-Authors: 43 Co-Authors with 60 Joint Publications
1,028 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 787 times in 576 Documents Cited by Year
Consistency of random forests and other averaging classifiers. Zbl 1225.62081
Biau, Gérard; Devroye, Luc; Lugosi, Gábor
65
2008
Consistency of random forests. Zbl 1317.62028
Scornet, Erwan; Biau, Gérard; Vert, Jean-Philippe
63
2015
Analysis of a random forests model. Zbl 1283.62127
Biau, Gérard
60
2012
Nonparametric spatial prediction. Zbl 1125.62317
Biau, Gérard; Cadre, Benoît
50
2004
A random forest guided tour. Zbl 1402.62133
Biau, Gérard; Scornet, Erwan
47
2016
Functional classification in Hilbert spaces. Zbl 1285.94015
Biau, Gérard; Bunea, Florentina; Wegkamp, Marten H.
47
2005
Chaotic properties of mappings on a probability space. Zbl 1097.37034
Abraham, Christophe; Biau, Gérard; Cadre, Benoît
41
2002
Lectures on the nearest neighbor method. Zbl 1330.68001
Biau, Gérard; Devroye, Luc
38
2015
On the performance of clustering in Hilbert spaces. Zbl 1304.62088
Biau, Gérard; Devroye, Luc; Lugosi, Gábor
32
2008
On the layered nearest neighbour estimate, the bagged nearest neighbour estimate and the random forest method in regression and classification. Zbl 1198.62048
Biau, Gérard; Devroye, Luc
25
2010
Rates of convergence of the functional \(k\)-nearest neighbor estimate. Zbl 1366.62080
Biau, Gérard; Cérou, Frédéric; Guyader, Arnaud
24
2010
Simple estimation of the mode of a multivariate density. Zbl 1035.62046
Abraham, Christophe; Biau, Gérard; Cadre, Benoît
23
2003
New insights into approximate Bayesian computation. Zbl 1307.62012
Biau, Gérard; Cérou, Frédéric; Guyader, Arnaud
21
2015
Sparse single-index model. Zbl 1320.62177
Alquier, Pierre; Biau, Gérard
17
2013
On the kernel rule for function classification. Zbl 1100.62066
Abraham, C.; Biau, G.; Cadre, B.
17
2006
Exact rates in density support estimation. Zbl 1151.62027
Biau, Gérard; Cadre, Benoît; Pelletier, Bruno
16
2008
On the asymptotic properties of a nonparametric \(L_1\)-test statistic of homogeneity. Zbl 1286.62041
Biau, Gérard; Györfi, László
16
2005
On the asymptotic properties of a simple estimate of the mode. Zbl 1033.62043
Abraham, Christophe; Biau, Gérard; Cadre, Benoît
14
2004
Probability estimation with machine learning methods for dichotomous and multicategory outcome: theory. Zbl 1441.62404
Kruppa, Jochen; Liu, Yufeng; Biau, Gérard; Kohler, Michael; König, Inke R.; Malley, James D.; Ziegler, Andreas
13
2014
On Lyapunov exponent and sensitivity. Zbl 1034.37019
Abraham, Christophe; Biau, Gérard; Cadre, Benoît
13
2004
A graph-based estimator of the number of clusters. Zbl 1187.62114
Biau, Gérard; Cadre, Benoît; Pelletier, Bruno
11
2007
COBRA: a combined regression strategy. Zbl 1334.62005
Biau, Gérard; Fischer, Aurélie; Guedj, Benjamin; Malley, James D.
10
2016
Parameter selection for principal curves. Zbl 1365.62262
Biau, Gérard; Fischer, Aurélie
10
2012
Asymptotic normality in density support estimation. Zbl 1185.62071
Biau, Gérard; Cadre, Benoît; Mason, David M.; Pelletier, Bruno
9
2009
A note on minimum distance estimation of copula densities. Zbl 1065.62103
Biau, Gérard; Wegkamp, Marten
8
2005
On the rate of convergence of the bagged nearest neighbor estimate. Zbl 1242.62025
Biau, Gérard; Cérou, Frédéric; Guyader, Arnaud
8
2010
On the risk of estimates for block decreasing densities. Zbl 1025.62015
Biau, Gérard; Devroye, Luc
8
2003
Density estimation by the penalized combinatorial method. Zbl 1065.62054
Biau, Gérard; Devroye, Luc
7
2005
A weighted \(k\)-nearest neighbor density estimate for geometric inference. Zbl 1274.62264
Biau, Gérard; Chazal, Frédéric; Cohen-Steiner, David; Devroye, Luc; Rodríguez, Carlos
6
2011
High-dimensional \(p\)-norms. Zbl 1322.60010
Biau, Gérard; Mason, David M.
6
2015
Optimal asymptotic quadratic errors of density estimators on random fields. Zbl 1092.62593
Biau, Gérard
6
2002
PCA-kernel estimation. Zbl 1234.62091
Biau, Gérard; Mas, André
4
2012
Higher order estimation at Lebesgue points. Zbl 1169.62024
Beirlant, J.; Berlinet, A.; Biau, G.
4
2008
A note on density model size testing. Zbl 1286.62022
Biau, Gérard; Devroye, Luc
4
2004
Some theoretical properties of GANs. Zbl 1451.62107
Biau, Gérard; Cadre, Benoît; Sangnier, Maxime; Tanielian, Ugo
4
2020
An affine invariant \(k\)-nearest neighbor regression estimate. Zbl 1274.62275
Biau, Gérard; Devroye, Luc; Dujmović, Vida; Krzyżak, Adam
3
2012
Long signal change-point detection. Zbl 1397.62296
Biau, Gérard; Bleakley, Kevin; Mason, David M.
3
2016
Cellular tree classifiers. Zbl 1293.62067
Biau, Gérard; Devroye, Luc
3
2013
Divergence-type errors of smooth Barron-type density estimators. Zbl 1039.62029
Beirlant, Jan; Berlinet, Alain; Biau, Gérard; Vajda, Igor
3
2002
SIRUS: stable and interpretable RUle set for classification. Zbl 1458.62126
Bénard, Clément; Biau, Gérard; Da Veiga, Sébastien; Scornet, Erwan
3
2021
Optimization by gradient boosting. Zbl 07645393
Biau, Gérard; Cadre, Benoît
2
2021
Strongly consistent model selection for densities. Zbl 1367.62101
Biau, Gérard; Cadre, Benoît; Devroye, Luc; Györfi, László
2
2008
Nonparametric sequential prediction of time series. Zbl 1189.62152
Biau, Gérard; Bleakley, Kevin; Györfi, László; Ottucsák, György
2
2010
Parameter selection in modified histogram estimates. Zbl 1067.62033
Berlinet, Alain; Biau, Gérard; Rouvière, Laurent
2
2005
Optimal \(L_{1}\) bandwidth selection for variable kernel density estimates. Zbl 1070.62020
Berlinet, Alain; Biau, Gérard; Rouviére, Laurent
2
2005
Statistical inference on graphs. Zbl 1136.62348
Biau, Gérard; Bleakley, Kevin
2
2006
Neural random forests. Zbl 1437.62228
Biau, Gérard; Scornet, Erwan; Welbl, Johannes
2
2019
Accelerated gradient boosting. Zbl 1493.68293
Biau, G.; Cadre, B.; Rouvière, L.
2
2019
Rejoinder on: “A random forest guided tour”. Zbl 1402.62134
Biau, Gérard; Scornet, Erwan
1
2016
Cellular tree classifiers. Zbl 1432.68379
Biau, Gérard; Devroye, Luc
1
2014
Cox process functional learning. Zbl 1327.62193
Biau, Gérard; Cadre, Benoît; Paris, Quentin
1
2015
Sequential quantile prediction of time series. Zbl 1366.62171
Biau, Gérard; Patra, Benoît
1
2011
Iterated modified histograms as dynamical systems. Zbl 1098.62036
Berlinet, Alain; Biau, Gérard
1
2004
On the shrinkage estimation of variance. Zbl 1316.62105
Biau, Gérard; Yatracos, Yannis G.
1
2012
Learning with signatures. Zbl 1444.62142
Biau, Gérard; Fermanian, Adeline
1
2020
Some theoretical insights into Wasserstein GANs. Zbl 07370636
Biau, Gérard; Sangnier, Maxime; Tanielian, Ugo
1
2021
On a \(L_1\)-test statistic of homogeneity. Zbl 1116.62048
Biau, Gérard; Györfi, Lázló
1
2006
SIRUS: stable and interpretable RUle set for classification. Zbl 1458.62126
Bénard, Clément; Biau, Gérard; Da Veiga, Sébastien; Scornet, Erwan
3
2021
Optimization by gradient boosting. Zbl 07645393
Biau, Gérard; Cadre, Benoît
2
2021
Some theoretical insights into Wasserstein GANs. Zbl 07370636
Biau, Gérard; Sangnier, Maxime; Tanielian, Ugo
1
2021
Some theoretical properties of GANs. Zbl 1451.62107
Biau, Gérard; Cadre, Benoît; Sangnier, Maxime; Tanielian, Ugo
4
2020
Learning with signatures. Zbl 1444.62142
Biau, Gérard; Fermanian, Adeline
1
2020
Neural random forests. Zbl 1437.62228
Biau, Gérard; Scornet, Erwan; Welbl, Johannes
2
2019
Accelerated gradient boosting. Zbl 1493.68293
Biau, G.; Cadre, B.; Rouvière, L.
2
2019
A random forest guided tour. Zbl 1402.62133
Biau, Gérard; Scornet, Erwan
47
2016
COBRA: a combined regression strategy. Zbl 1334.62005
Biau, Gérard; Fischer, Aurélie; Guedj, Benjamin; Malley, James D.
10
2016
Long signal change-point detection. Zbl 1397.62296
Biau, Gérard; Bleakley, Kevin; Mason, David M.
3
2016
Rejoinder on: “A random forest guided tour”. Zbl 1402.62134
Biau, Gérard; Scornet, Erwan
1
2016
Consistency of random forests. Zbl 1317.62028
Scornet, Erwan; Biau, Gérard; Vert, Jean-Philippe
63
2015
Lectures on the nearest neighbor method. Zbl 1330.68001
Biau, Gérard; Devroye, Luc
38
2015
New insights into approximate Bayesian computation. Zbl 1307.62012
Biau, Gérard; Cérou, Frédéric; Guyader, Arnaud
21
2015
High-dimensional \(p\)-norms. Zbl 1322.60010
Biau, Gérard; Mason, David M.
6
2015
Cox process functional learning. Zbl 1327.62193
Biau, Gérard; Cadre, Benoît; Paris, Quentin
1
2015
Probability estimation with machine learning methods for dichotomous and multicategory outcome: theory. Zbl 1441.62404
Kruppa, Jochen; Liu, Yufeng; Biau, Gérard; Kohler, Michael; König, Inke R.; Malley, James D.; Ziegler, Andreas
13
2014
Cellular tree classifiers. Zbl 1432.68379
Biau, Gérard; Devroye, Luc
1
2014
Sparse single-index model. Zbl 1320.62177
Alquier, Pierre; Biau, Gérard
17
2013
Cellular tree classifiers. Zbl 1293.62067
Biau, Gérard; Devroye, Luc
3
2013
Analysis of a random forests model. Zbl 1283.62127
Biau, Gérard
60
2012
Parameter selection for principal curves. Zbl 1365.62262
Biau, Gérard; Fischer, Aurélie
10
2012
PCA-kernel estimation. Zbl 1234.62091
Biau, Gérard; Mas, André
4
2012
An affine invariant \(k\)-nearest neighbor regression estimate. Zbl 1274.62275
Biau, Gérard; Devroye, Luc; Dujmović, Vida; Krzyżak, Adam
3
2012
On the shrinkage estimation of variance. Zbl 1316.62105
Biau, Gérard; Yatracos, Yannis G.
1
2012
A weighted \(k\)-nearest neighbor density estimate for geometric inference. Zbl 1274.62264
Biau, Gérard; Chazal, Frédéric; Cohen-Steiner, David; Devroye, Luc; Rodríguez, Carlos
6
2011
Sequential quantile prediction of time series. Zbl 1366.62171
Biau, Gérard; Patra, Benoît
1
2011
On the layered nearest neighbour estimate, the bagged nearest neighbour estimate and the random forest method in regression and classification. Zbl 1198.62048
Biau, Gérard; Devroye, Luc
25
2010
Rates of convergence of the functional \(k\)-nearest neighbor estimate. Zbl 1366.62080
Biau, Gérard; Cérou, Frédéric; Guyader, Arnaud
24
2010
On the rate of convergence of the bagged nearest neighbor estimate. Zbl 1242.62025
Biau, Gérard; Cérou, Frédéric; Guyader, Arnaud
8
2010
Nonparametric sequential prediction of time series. Zbl 1189.62152
Biau, Gérard; Bleakley, Kevin; Györfi, László; Ottucsák, György
2
2010
Asymptotic normality in density support estimation. Zbl 1185.62071
Biau, Gérard; Cadre, Benoît; Mason, David M.; Pelletier, Bruno
9
2009
Consistency of random forests and other averaging classifiers. Zbl 1225.62081
Biau, Gérard; Devroye, Luc; Lugosi, Gábor
65
2008
On the performance of clustering in Hilbert spaces. Zbl 1304.62088
Biau, Gérard; Devroye, Luc; Lugosi, Gábor
32
2008
Exact rates in density support estimation. Zbl 1151.62027
Biau, Gérard; Cadre, Benoît; Pelletier, Bruno
16
2008
Higher order estimation at Lebesgue points. Zbl 1169.62024
Beirlant, J.; Berlinet, A.; Biau, G.
4
2008
Strongly consistent model selection for densities. Zbl 1367.62101
Biau, Gérard; Cadre, Benoît; Devroye, Luc; Györfi, László
2
2008
A graph-based estimator of the number of clusters. Zbl 1187.62114
Biau, Gérard; Cadre, Benoît; Pelletier, Bruno
11
2007
On the kernel rule for function classification. Zbl 1100.62066
Abraham, C.; Biau, G.; Cadre, B.
17
2006
Statistical inference on graphs. Zbl 1136.62348
Biau, Gérard; Bleakley, Kevin
2
2006
On a \(L_1\)-test statistic of homogeneity. Zbl 1116.62048
Biau, Gérard; Györfi, Lázló
1
2006
Functional classification in Hilbert spaces. Zbl 1285.94015
Biau, Gérard; Bunea, Florentina; Wegkamp, Marten H.
47
2005
On the asymptotic properties of a nonparametric \(L_1\)-test statistic of homogeneity. Zbl 1286.62041
Biau, Gérard; Györfi, László
16
2005
A note on minimum distance estimation of copula densities. Zbl 1065.62103
Biau, Gérard; Wegkamp, Marten
8
2005
Density estimation by the penalized combinatorial method. Zbl 1065.62054
Biau, Gérard; Devroye, Luc
7
2005
Parameter selection in modified histogram estimates. Zbl 1067.62033
Berlinet, Alain; Biau, Gérard; Rouvière, Laurent
2
2005
Optimal \(L_{1}\) bandwidth selection for variable kernel density estimates. Zbl 1070.62020
Berlinet, Alain; Biau, Gérard; Rouviére, Laurent
2
2005
Nonparametric spatial prediction. Zbl 1125.62317
Biau, Gérard; Cadre, Benoît
50
2004
On the asymptotic properties of a simple estimate of the mode. Zbl 1033.62043
Abraham, Christophe; Biau, Gérard; Cadre, Benoît
14
2004
On Lyapunov exponent and sensitivity. Zbl 1034.37019
Abraham, Christophe; Biau, Gérard; Cadre, Benoît
13
2004
A note on density model size testing. Zbl 1286.62022
Biau, Gérard; Devroye, Luc
4
2004
Iterated modified histograms as dynamical systems. Zbl 1098.62036
Berlinet, Alain; Biau, Gérard
1
2004
Simple estimation of the mode of a multivariate density. Zbl 1035.62046
Abraham, Christophe; Biau, Gérard; Cadre, Benoît
23
2003
On the risk of estimates for block decreasing densities. Zbl 1025.62015
Biau, Gérard; Devroye, Luc
8
2003
Chaotic properties of mappings on a probability space. Zbl 1097.37034
Abraham, Christophe; Biau, Gérard; Cadre, Benoît
41
2002
Optimal asymptotic quadratic errors of density estimators on random fields. Zbl 1092.62593
Biau, Gérard
6
2002
Divergence-type errors of smooth Barron-type density estimators. Zbl 1039.62029
Beirlant, Jan; Berlinet, Alain; Biau, Gérard; Vajda, Igor
3
2002
all top 5

Cited by 1,002 Authors

22 Biau, Gérard
20 Dabo-Niang, Sophie
15 Li, Risong
12 Vieu, Philippe
11 Cadre, Benoît
10 Györfi, László
10 Laksaci, Ali
9 Devroye, Luc P. J. A.
8 Fischer, Aurélie
8 Scornet, Erwan
8 Younso, Ahmad
7 Chen, Guanrong
7 Lu, Tianxiu
7 Michel, Bertrand
7 Walk, Harro
6 Berlinet, Alain F.
6 Cuevas, Antonio
6 El Machkouri, Mohamed
6 Mojirsheibani, Majid
6 Wang, Jinde
6 Wu, Xinxing
5 Alquier, Pierre
5 Carrizosa, Emilio
5 Fraiman, Ricardo
5 Guedj, Benjamin
5 Lugosi, Gábor
5 Rouvière, Laurent
5 Samworth, Richard J.
5 Wager, Stefan
5 Wang, Hongxia
5 Yao, Anne-Françoise
4 Abraham, Christophe
4 Blanquero, Rafael
4 Chazal, Frédéric
4 Diop, Aliou
4 Goia, Aldo
4 Klutchnikoff, Nicolas
4 Levrard, Clément
4 Mentch, Lucas K.
4 Molero-Río, Cristina
4 Ould-Saïd, Elias
4 Paris, Quentin
4 Rachdi, Mustapha
4 Romero Morales, Dolores
4 Servien, Rémi
4 Shi, Yuming
4 Wegkamp, Marten H.
4 Wellner, Jon August
3 Abdi, Ahmedoune Ould
3 Abdi, Sidi Ali Ould
3 Aneiros-Pérez, Germán
3 Arlot, Sylvain
3 Athey, Susan
3 Bongiorno, Enea Giuseppe
3 Bouzebda, Salim
3 Cannings, Timothy Ivor
3 Cholaquidis, Alejandro
3 Ferraty, Frédéric
3 Ghosal, Subhashis
3 Guyader, Arnaud
3 Hall, Peter Gavin
3 Henze, Norbert
3 Hothorn, Torsten
3 Joly, Emilien
3 Kaid, Zoulikha
3 Laloë, Thomas
3 Larocque, Denis
3 Li, Linyuan
3 Ling, Nengxiang
3 Lopes, Miles E.
3 Pauly, Markus
3 Prangle, Dennis
3 Silva, Cesar E.
3 Thiam, Baba
3 Van Bever, Germain
3 Wang, Hongqing
3 Yang, Xiaofang
3 Zhu, Ruoqing
3 Ziegler, Andreas
2 Aliyari Ghassabeh, Youness
2 Almanjahie, Ibrahim Mufrah
2 Anwar, Waseem
2 Arias-Castro, Ery
2 Attouch, Mohammed Kadi
2 Azhari, Nour
2 Baíllo, Amparo
2 Balibrea, Francisco
2 Berrett, Thomas B.
2 Bertin, Karine
2 Binder, Harald
2 Bollt, Erik M.
2 Brécheteau, Claire
2 Bulinskiĭ, Aleksandr Vadimovich
2 Bunea, Florentina
2 Cabras, Stefano
2 Caillerie, Claire
2 Castillo, Ismaël
2 Celisse, Alain
2 Cérou, Frédéric
2 Chae, Minwoo
...and 902 more Authors
all top 5

Cited in 165 Serials

36 Electronic Journal of Statistics
30 The Annals of Statistics
28 Journal of Multivariate Analysis
28 Statistics & Probability Letters
21 Computational Statistics and Data Analysis
19 Journal of Nonparametric Statistics
17 Journal of the American Statistical Association
17 Journal of Machine Learning Research (JMLR)
13 Journal of Statistical Planning and Inference
12 Communications in Statistics. Theory and Methods
11 Journal of Statistical Computation and Simulation
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Biometrical Journal
9 Bernoulli
9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
9 Statistics and Computing
8 Machine Learning
8 Computational Statistics
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Test
7 Statistics
6 Journal of Mathematical Analysis and Applications
6 European Journal of Operational Research
6 Statistical Papers
5 Chaos, Solitons and Fractals
5 Insurance Mathematics & Economics
5 Statistical Inference for Stochastic Processes
5 Journal of Computational and Graphical Statistics
4 Annals of the Institute of Statistical Mathematics
4 Neural Computation
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Mathematical Methods of Statistics
4 Statistical Analysis and Data Mining
4 The Annals of Applied Statistics
4 Journal of Nonlinear Science and Applications
3 Advances in Applied Probability
3 Metrika
3 Scandinavian Journal of Statistics
3 Information Sciences
3 Journal of Applied Probability
3 Proceedings of the American Mathematical Society
3 Journal of Classification
3 Neural Networks
3 Communications in Statistics. Simulation and Computation
3 Statistica Sinica
3 Journal of Applied Statistics
3 Advances in Data Analysis and Classification. ADAC
3 AStA. Advances in Statistical Analysis
3 Statistics Surveys
3 SIAM Journal on Mathematics of Data Science
2 Journal of Computational Physics
2 Biometrics
2 Journal of Econometrics
2 Topology and its Applications
2 Probability Theory and Related Fields
2 Annals of Operations Research
2 International Journal of Adaptive Control and Signal Processing
2 Journal of Mathematical Imaging and Vision
2 Applied and Computational Harmonic Analysis
2 Journal of Difference Equations and Applications
2 Methodology and Computing in Applied Probability
2 Brazilian Journal of Probability and Statistics
2 Foundations of Computational Mathematics
2 Journal of the Korean Statistical Society
2 Journal of Statistical Theory and Practice
2 Mathematical Geosciences
2 Journal of Probability and Statistics
2 Bayesian Analysis
2 Communications in Mathematics and Statistics
2 Dependence Modeling
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 The American Statistician
1 Artificial Intelligence
1 The Canadian Journal of Statistics
1 Computer Methods in Applied Mechanics and Engineering
1 Information Processing Letters
1 Journal of the Franklin Institute
1 Mathematical Biosciences
1 Archiv der Mathematik
1 Colloquium Mathematicum
1 International Economic Review
1 International Statistical Review
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Kybernetika
1 Mathematics of Operations Research
1 Metron
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Operations Research
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Revista Colombiana de Estadística
1 Physica D
1 Computers & Operations Research
1 Journal of Economic Dynamics & Control
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 Japan Journal of Industrial and Applied Mathematics
...and 65 more Serials

Citations by Year