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Publications

 

 Manuscripts


C. Butucea, J.-F. Delmas, A. Dutfoy, C. Hardy (2022) Off-the-grid prediction and testing for mixtures of translated features, arxiv:2212.01169


C. Butucea, J.-F. Delmas, A. Dutfoy, C. Hardy (2022) Off-the-grid learning of sparse mixtures from a continuous dictionary, arxiv:2207.00171


N. Bettache, C. Butucea  (2023) Two-sided matrix regression, arxiv: 2303.04694


Published papers

C. Butucea, J.-F. Delmas, A. Dutfoy, C. Hardy Simultaneous off-the-grid learning of mixtures issued from a continuous dictionary, arxiv:2210.16311
Bernoulli, (2024), to appear

 C. Butucea, A. Rohde and L. Steinberger Interactive versus non-interactive locally differentially private estimation: Two elbows for the quadratic functional
Annals of Statistics, (2023), vol. 51, (2), 464-486

 C. Butucea, E. Mammen, M. Ndaoud and A. B. Tsybakov Variable selection, monotone likelihood and group sparsity
Annals of Statistics, (2023), vol. 51, (1), 312-333

C. Butucea, A. Dubois and A. Saumard Phase transitions for support recovery under local differential privacy,
Mathematical Statistics and Learning, (2023), vol. 6, (1/2), 1-50

D. Belomestny, C. Butucea, E. Mammen, E. Moulines, M. Reiss and V.V. Ulyanov (Eds.) Foundations of modern statistics - Festschrift in Honor of Vladimir Spokoiny.
Springer Proceedings in Mathematics & Statistics, Springer Cham, (2023)

A. Dubois, T.B. Berrett and C. Butucea Goodness-of-fit testing for Hölder continuous densities under local differential privacy,
Foundations of Modern Statistics - Festschrift in Honor of Vladimir Spokoiny, Eds. D. Belomestny et al., Springer Cham, (2023), 53-119

N. Bettache, C. Butucea and M. Sorba Fast non-asymptotic testing and support recovery for large sparse Toeplitz covariance matrices
J. Multivariate Analysis, (2022), vol. 190, DOI:10.1016/j.jmva.2021.104883

C. Butucea and Y. Issartel Locally differentially private estimation of nonlinear functionals of discrete distributions
NeurIPS 35, (2021)

T.B. Berrett and C. Butucea Locally private non-asymptotic testing of discrete distributions is faster using interactive mechanisms
NeurIPS 34, (2020)

C. Butucea, A. Dubois, M. Kroll and A. Saumard Local differential privacy: elbow effect in optimal density estimation and adaptation over Besov ellipsoids
Bernoulli, (2020), vol. 26, No 3, 1727-1764

A. Anfriani, C. Butucea, E. Gerardin, T. Jeantheau, U. Lecleire  Goodness-of-fit test for the baseline hazard rate
Nonparametric Statistics, 4th ISNPS, Salerno, 2018, Eds. L. Salmaso, B. Liseo and M. La Rocca, (2020) Springer Nature Switzerland AG

T.B. Berrett and C. Butucea Classification under local differential privacy
Annales de l'ISUP, (2019), Vol. 63, (2-3), 191-204

C. Butucea, M. Guta, M. Nussbaum Local asymptotic equivalence of pure quantum states ensembles and quantum Gaussian white noise
Annals of Statistics, (2018), vol. 46, 3676-3708

C. Butucea, M. Ndaoud, N. Stepanova, A. B. Tsybakov Variable selection with Hamming loss
Annals of Statistics, (2018), vol. 46, 1837-1875;

C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer Fast adaptive estimation of log-additive exponential models in Kullback-Leibler divergence
Electronic J. Statist., (2018), vol. 12, No. 1, 1256-1298

C. Butucea, R. Zgheib Adaptive test for large covariance matrices with missing observations
ALEA, (2017), Vol. XIV, 557-578;

C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer Optimal exponential bounds for aggregation of estimators for the Kullback-Leibler loss
Electronic J. Statist., (2017), Vol. 11, No. 1, 2258-2294

 C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer Maximum entropy distribution of order statistics with given marginals
Bernoulli, (2017), vol. 24, (1), 115-155;

C. Butucea, N. Stepanova Adaptive variable selection in nonparametric sparse additive models
Electronic J. Statist., (2017), vol. 11, No. 1, 2321-2357;

C. Butucea, R. Ngueyep Tzoumpe, P. Vandekerkhove: Semiparametric topographical mixture models with symmetric errors
Bernoulli, (2017), vol. 23, (2), 825-862;

C. Butucea, R. Zgheib Sharp minimax tests for large Toeplitz covariance matrices with repeated observations
J. Multivariate Anal., (2016), 146, 164–176;

C. Butucea, M. Guta and T. Kypraios Spectral thresholding quantum tomography for low rank states
New Journal of Physics, (2015), 17, (11), 113050, file; Corrigendum (2016) New Journal of Physics, (18), 069501;

C. Butucea, R. Zgheib: Sharp minimax tests for large covariance matrices
Electronic J. Statist., (2016), 2, 1927-1972

C. Butucea et G. Gayraud: Sharp detection of smooth signals in a high-dimensional sparse matrix with indirect observations
Annales de l'Institut Henri Poincaré, "Probabilités & Statistiques", (2016), Vol. 52, 4, 1564-1591;

C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer: Maximum entropy copula with given diagonal section
J. Multivariate Analysis, (2015), Vol. 137, 61-81;

F. Balabdaoui, C. Butucea: On location mixtures with Polya frequency components
Statistics and probability letters, (2014), Vol. 95, 144-149

C. Butucea, Yu. I. Ingster, I. Suslina: Sharp variable selection of a sparse submatrix in a high-dimensional noisy matrix
ESAIM: PS, (2015), Vol. 19, 115-134;

C. Butucea and P. Vandekerkhove: Semiparametric mixture of symmetric distributions
Scandinavian J. Statist.,  (2013), doi: 10.1111/sjos.12015;

P. Alquier, C. Butucea, M. Hebiri, K. Meziani, T. Morimae: Rank penalized estimation of a quantum system
Physical Reviews A, (2013), Vol. 88, 032113;

C. Butucea and Yu. I. Ingster: Detection of a sparse submatrix of a high-dimensional noisy matrix
Bernoulli, (2013), Vol. 19(5B), 2652-2688;

C. Butucea and K. Meziani: Quadratic functional estimation in inverse problems
Statistical Methodology, (2011), Vol. 8, 1, 31-41;

C. Butucea and M. Guta: Quantum U-statistics
Journal of Mathematical Physics; (2010) (arXiv:1004.2452v2), Vol. 51, 102202;

C. Butucea and F. Comte: Adaptive estimation of linear functionals in the convolution model and applications
Bernoulli; (2009) (hal-00133750), Vol. 15, 1, 69-98.

C. Butucea, C. Matias and C. Pouet: Adaptive goodness-of-fit testing from indirect observations
Annales de l'Institut Henri Poincaré, "Probabilités & Statistiques"; (2009), Vol. 45, 2, 352-372.

J.-M. Aubry, C. Butucea and K. Meziani: State estimation in quantum homodyne tomography with noisy data
Inverse Problems; (2009), Vol. 25, 1, 22pp.

C. Butucea, C. Matias and C. Pouet: Adaptivity issues in convolution models with known or partially known noise distribution
Electronic Journal of Statistics;  (2008), Vol. 2, pp 897-915;

C. Butucea and M.-L. Taupin: New M-estimators in semiparametric regression with errors in variables
Annales de l'Institut Henri Poincaré, "Probabilités & Statistiques", (2008), Vol. 44, 3, pp 393-421;

C. Butucea and A. B. Tsybakov: Sharp optimality for density deconvolution with dominating bias. I
Theory of Probability and Its Applications, (2008), Vol. 52, 1, pp 111-128;

C. Butucea and A. B. Tsybakov: Sharp optimality for density deconvolution with dominating bias. II
Theory of Probability and Its Applications, (2008) (arXiv:math.ST/0409471), Vol. 52, 2, pp 237-249;

C. Butucea, M. Mougeot and K. Tribouley: Functional approach for excess mass estimation in the density model;
Electronic Journal of Statistics, (2007), Vol. 1, pp 449-472;

C. Butucea: Goodness-of-fit testing and quadratic functional estimation from indirect observations;
Annals of Statistics, (2007), Vol. 35, 5, pp 1907-1930;

C. Butucea, M. Guta and L. Artiles: Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data; 
Annals of Statistics, (2007), Vol. 35, 2, pp 465-494;

C. Butucea and K. Tribouley: Nonparametric homogeneity tests; 
Journal of Statistical Planning and Inference, (2006), Vol. 136, 3, pp 597-639; 

C. Butucea and M. H. Neumann: Exact asymptotics for estimating the marginal density of discretely observed diffusion processes;
Bernoulli, (2005), Vol. 11, 3, pp 411-444; 

C. Butucea and C. Matias: Minimax estimation of the noise level and of the signal density in a semiparametric convolution model;
Bernoulli, (2005), Vol. 11, 2, pp 309-340; 

C. Butucea: Contribution to Discussion on the meeting on 'Statistical approaches to inverse problems';
J. R. Statist. Soc. B, (2004), Vol. 66, 3, pp 627-652; 

C. Butucea: Asymptotic normality of the integrated square error of a density estimator in the convolution model;
Statistics and Operations Research Transactions, (2004), Vol. 28, No. 1, pp 9-26; 

C. Butucea: Deconvolution of supersmooth densities with smooth noise;
The Canadian Journal of Statistics, (2004), Vol. 32, No. 2, pp 181-192; 

C. Butucea: Exact adaptive pointwise estimation on Sobolev classes of densities;
ESAIM: Probability and Statistics,  (2001), Vol. 5, pp 1-31;

C. Butucea: Numerical results concerning a sharp adaptive estimator;
Computational Statistics, (2001), Vol. 16, 2, pp 271-298;

C. Butucea: The adaptive rate of convergence in a problem of pointwise density estimation;
Statist. Probab. Lett., (2000), Vol. 47, 1, pp 85-90;

C. Butucea: Two adaptive rates of convergence in pointwise density estimation;
Mathematical Methods of Statistics, (2000), Vol. 9, 1, pp 39-64;

C. Butucea: Constante exacte adaptive dans l'estimation de la densité;
C. R. Acad. Sci. Paris Sér. I Math., (1999), Vol. 329, 6, pp 535-540;

 

Proceedings at International Conferences

  1. ESREL 2021 Modeling infra-red spectra: an algorithm for an automatic and simultaneous analysis. In Proceedings of the 31st European Safery and Reliability Conference; doi: 10.3850/978-981-18-2016-8_732-cd; with J.-F. Delmas, A. Dutfoy and C. Hardy.
  2. Journées de Statistique, SFdS, Nantes 2019 Adaptation sur des espaces de Besov en estimation de la densité sous contrainte de confidentialité locale, with A. Dubois, M. Kroll and A. Saumard
  3. ESREL 2015 Nonparametric estimation of distributions of order statistics with application to nuclear engineering. In Podofillini et al. (Eds), Proceedings of Safety and Reliability of Complex Engineered Systems, (pp. 2657-2665). London: Taylor & Francis Group, with J.-F. Delmas, A. Dutfoy et R. Fischer.
  4. European Meeting of Statisticians, Amsterdam, Netherlands;  2015 -  Sharp minimax tests for large Toeplitz covariance matrices with repeated observations, with R. Zgheib.
  5. Journées de Statistique, SFdS, Lille 2015 Estimation rapide non-paramétrique de la densité de la distribution d’entropie maximale pour les statistiques d’ordre. with J.-F. Delmas, A. Dutfoy et R. Fischer.
  6. Modélisation de la dépendance sous contrainte déterministe. In the Proceedings of 19e Congrès de Maîtrise des Risques et Sûreté de Fonctionnement 2014. Dijon, with J.-F. Delmas, A. Dutfoy et R. Fischer.
  7. Journées de Statistique, SFdS, Rennes 2014 Copule d’entropie maximale with des statistiques d’ordre fixées, with J.-F. Delmas, A. Dutfoy et R. Fischer.
  8. Barcelona Conference of Asymptotic Statistics, BAS 2003 Barcelona, Spain; Septembre 2003 - Minimax testing in the convolution model.
  9. European Meeting of Statisticians, Madeira, Portugal; Août 2001 -  Minimax bounds for supersmooth deconvolution density estimation.
  10. Measuring risk in complex stochastic systems, Berlin,Germany; Septembre 1999 -  Efficiency bounds for nonparametric density estimation from dependent data.
  11. Journées de Statistique, SFdS, Montpellier 2004 - Estimation minimax dans un modèle de mèlange semi-paramétrique, with C. Matias.
  12. Journées de Statistique, SFdS, Grenoble 1999 - Estimation minimax efficace de la densité de probabilité d'observations mélangeantes.
  13. Journées de Statistique, SFdS, Rennes 1998 - Vitesses adaptatives de convergence et résultats numériques.
  14. Journées de Statistique, SFdS, Carcassonne 1997 - Estimation adaptative exacte de la densité sur l'espace de Sobolev.
  15. Journées de la SMAI - Modélisation aléatoire et statistique, Toulouse; Septembre 1996 - Poster: Estimation adaptative de la densité.



Conference Organisation

 

  1. Mathematical Methods of Statistics (C. Butucea, S. Minsker, C. Pouet, V. Spokoiny), December 12-16, 2022 CIRM, Luminy, France
  2. Mathematical Methods of Statistics - Machine learning and nonparametric statistics  (C. Butucea, S. Minsker, C. Pouet, V. Spokoiny), December 13-17, 2021 CIRM, Luminy, France
  3. Mathematical Foundations of Machine Learning (P. Bartlett, C. Butucea, J. Schmidt-Hieber), March 21-27, 2021, MFOberwolfach, Germany
  4. Mathematical Methods of Statistics - Robustness and computational efficiency of algorithms in statistical learning; (C. Butucea, S. Minsker, C. Pouet, V. Spokoiny), December 14-18, 2020 CIRM, Luminy, France
  5. Mathematical Methods of Statistics (C. Butucea, C. Pouet, V. Spokoiny), December 16-20, 2019 CIRM, Luminy, France
  6. Mathematical Methods of Statistics (C. Butucea, C. Pouet, V. Spokoiny) December 16-21, 2018 Fréjus, France
  7. Workshop on High-dimensional problems and quantum physics, June 8-10, 2015, Champs-sur-Marne, Marne-la-Vallée
  8. Workshop (C. Butucea, P. Vandekerkhove) Statistique des nouvelles données, June 2012, Champs-sur-Marne, Marne-la-Vallée


 

 

Editorial boards

 

  1. Annals of Statistics 2022-
  2. Bernoulli 2022-
  3. Associated Editor ALEA 2016-2021
  4. Associated Editor Electronic Journal of Statistics 2010-2012