Research                                                 stylocafe





Ø C. Butucea, A. Dubois and A. Saumard (2020) Sharp phase transitions for exact support recovery under local differential privacy;

Ø C. Butucea, A. Rohde and L. Steinberger (2020) Interactive versus non-interactive locally differentially private estimation: Two elbows for the quadratic functional;


  1. T.B. Berrett and C. Butucea Locally private non-asymptotic testing of discrete distributions is faster using interactive mechanisms; (2020) NeurIPS
  2. C. Butucea, A. Dubois, M. Kroll and A. Saumard Local differential privacy: elbow effect in optimal density estimation and adaptation over Besov ellipsoids,  (2020) Bernoulli, Vol. 26, No 3, 1727-1764
  3. A. Anfriani, C. Butucea, E. Gerardin, T. Jeantheau, U. Lecleire  Goodness-of-fit test for the baseline hazard rate, (2020) Nonparametric Statistics, 4th ISNPS, Salerno, 2018, Eds. L. Salmaso, B. Liseo and M. La Rocca; Springer Nature Switzerland AG
  4. T.B. Berrett and C. Butucea Classification under local differential privacy; (2019) Annales de l'ISUP, Vol. 63, 2-3,
  5. C. Butucea, M. Guta, M. Nussbaum Local asymptotic equivalence of pure quantum states ensembles and quantum Gaussian white noise. (2018) Ann. Statist., vol. 46, 3676-3708
  6. C. Butucea, M. Ndaoud, N. Stepanova, A. B. Tsybakov Variable selection with Hamming loss, (2018) Ann. Statist., vol. 46, 1837-1875;
  7. C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer Fast adaptive estimation of log-additive exponential models in Kullback-Leibler divergence, (2018) Electronic J. Statist., Vol. 12, No. 1, 1256-1298
  8. C. Butucea, R. Zgheib Adaptive test for large covariance matrices with missing observations (2017) ALEA, Vol. XIV, 557-578;
  9. C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer Optimal exponential bounds for aggregation of estimators for the Kullback-Leibler loss, (2017), Electronic J. Statist., Vol. 11, No. 1, 2258-2294
  10. C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer Maximum entropy distribution of order statistics with given marginals, (2017)Bernoulli, Vol. 24, (1), 115-155;1
  11. C. Butucea, N. Stepanova Adaptive variable selection in nonparametric sparse additive models (2017) Electronic J. Statist., Vol. 11, No. 1, 2321-2357;
  12. C. Butucea, R. Ngueyep Tzoumpe, P. Vandekerkhove: Semiparametric topographical mixture models with symmetric errors, (2017) Bernoulli, 23, (2), 825-862;
  13. C. Butucea, R. Zgheib Sharp minimax tests for large Toeplitz covariance matrices with repeated observations (2016) J. Multivariate Anal. 146164–176;
  14. C. Butucea, M. Guta and T. Kypraios Spectral thresholding quantum tomography for low rank states, arxiv:1504, (2015);New Journal of Physics, 17, (11), 113050, fileCorrigendum (2016) New Journal of Physics, (18), 069501;
  15. C. Butucea, R. Zgheib: Sharp minimax tests for large covariance matrices,  (2016); Electronic J. Statist., 2, 1927-1972
  16. C. Butucea et G. Gayraud: Sharp detection of smooth signals in a high-dimensional sparse matrix with indirect observations, (2016) Annales de l'Institut Henri Poincaré, "Probabilités & Statistiques", Vol. 52, 4, 1564-1591;
  17. C. Butucea, J.-F. Delmas, A. Dutfoy, R. Fischer: Maximum entropy copula with given diagonal section, (2015) J. Multivariate Analysis, Vol. 137, 61-81;
  18. F. Balabdaoui, C. Butucea: On location mixtures with Polya frequency components, (2014) Statistics and probability letters, Vol. 95, 144-149
  19. C. Butucea, Yu. I. Ingster, I. Suslina: Sharp variable selection of a sparse submatrix in a high-dimensional noisy matrix (2014) ESAIM P&S, in press;
  20. C. Butucea and P. Vandekerkhove: Semiparametric mixture of symmetric distributions,  (2013) Scandinavian J. Statist.doi: 10.1111/sjos.12015;
  21.  P. Alquier, C. Butucea, M. Hebiri, K. Meziani, T. Morimae: Rank penalized estimation of a quantum system, (2013); Physical Reviews A, Vol. 88, 032113;
  22. C. Butucea and Yu. I. Ingster: Detection of a sparse submatrix of a high-dimensional noisy matrix, (2013); Bernoulli, Vol. 19(5B), 2652-2688;
  23. C. Butucea and K. Meziani: Quadratic functional estimation in inverse problems,  (2011) Statistical Methodology, Vol. 8, 1, 31-41;
  24. C. Butucea and M. Guta: Quantum U-statistics; (2010) (arXiv:1004.2452v2Journal of Mathematical Physics, Vol. 51, 102202;
  25. C. Butucea and F. Comte: Adaptive estimation of linear functionals in the convolution model and applications; (2009) (hal-00133750); Bernoulli, Vol. 15, 1, 69-98.
  26. C. Butucea, C. Matias and C. Pouet: Adaptive goodness-of-fit testing from indirect observations; (2009) Annales de l'Institut Henri Poincaré, "Probabilités & Statistiques", Vol. 45, 2, 352-372.
  27. J.-M. Aubry, C. Butucea and K. Meziani: State estimation in quantum homodyne tomography with noisy data; (2009) Inverse Problems, Vol. 25, 1, 22pp.
  28. C. Butucea, C. Matias and C. Pouet: Adaptivity issues in convolution models with known or partially known noise distribution;  (2008) Electronic Journal of Statistics, Vol. 2, pp 897-915;
  29.  C. Butucea and M.-L. Taupin: New M-estimators in semiparametric regression with errors in variables(2008)  Annales de l'Institut Henri Poincaré, "Probabilités & Statistiques", Vol. 44, 3, pp 393-421;
  30.  C. Butucea and A. B. Tsybakov: Sharp optimality for density deconvolution with dominating bias. I; (2008) Theory of Probability and Its Applications, Vol. 52, 1, pp 111-128;
  31. C. Butucea and A. B. Tsybakov: Sharp optimality for density deconvolution with dominating bias. II; (2008) (arXiv:math.ST/0409471Theory of Probability and Its Applications, Vol. 52, 2, pp 237-249;
  32. C. Butucea, M. Mougeot and K. Tribouley: Functional approach for excess mass estimation in the density model; (2007) Electronic Journal of Statistics, Vol. 1, pp 449-472;
  33. C. Butucea: Goodness-of-fit testing and quadratic functional estimation from indirect observations; (2007) (arXiv: ST/0612361Annals of Statistics, Vol. 35, 5, pp 1907-1930;
  34. C. Butucea, M. Guta and L. Artiles: Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data; (2007) (arXiv:math.PR/0504058Annals of Statistics, Vol. 35, 2, pp 465-494;
  35. C. Butucea and K. Tribouley: Nonparametric homogeneity tests;  Journal of Statistical Planning and Inference, (2006), Vol. 136, 3, pp 597-639; 
  36. 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; 
  37. 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; 
  38. 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; 
  39. 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; 
  40. C. Butucea: Deconvolution of supersmooth densities with smooth noise; The Canadian Journal of Statistics, (2004), Vol. 32, No. 2, pp 181-192; 
  41. C. Butucea: Exact adaptive pointwise estimation on Sobolev classes of densities; ESAIM: Probability and Statistics,  (2001), Vol. 5, pp 1-31; 
  42. C. Butucea: Numerical results concerning a sharp adaptive estimator; Computational Statistics(2001), Vol. 16, 2, pp 271-298; 
  43. C. Butucea: The adaptive rate of convergence in a problem of pointwise density estimation; Statist. Probab. Lett.(2000), Vol. 47, 1, pp 85-90; 
  44. C. Butucea: Two adaptive rates of convergence in pointwise density estimation; Mathematical Methods of Statistics(2000), Vol. 9, 1, pp 39-64; 
  45. 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.  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
  2. 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: ESREL 2015 (pp. 2657-2665). London: Taylor & Francis Group, with J.-F. Delmas, A. Dutfoy et R. Fischer.
  3. European Meeting of Statisticians, Amsterdam, Netherlands;  2015 -  Sharp minimax tests for large Toeplitz covariance matrices with repeated observations, with R. Zgheib.
  4. 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.
  5. 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.
  6. 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.
  7. Barcelona Conference of Asymptotic Statistics, BAS 2003 Barcelona, Spain; Septembre 2003 - Minimax testing in the convolution model.
  8. European Meeting of Statisticians, Madeira, Portugal; Août 2001 -  Minimax bounds for supersmooth deconvolution density estimation.
  9. Measuring risk in complex stochastic systems, Berlin,Germany; Septembre 1999 -  Efficiency bounds for nonparametric density estimation from dependent data.
  10. Journées de Statistique, SFdS, Montpellier 2004 - Estimation minimax dans un modèle de mèlange semi-paramétrique, with C. Matias.
  11. Journées de Statistique, SFdS, Grenoble 1999 - Estimation minimax efficace de la densité de probabilité d'observations mélangeantes.
  12. Journées de Statistique, SFdS, Rennes 1998 - Vitesses adaptatives de convergence et résultats numériques.
  13. Journées de Statistique, SFdS, Carcassonne 1997 - Estimation adaptative exacte de la densité sur l'espace de Sobolev.
  14. Journées de la SMAI - Modélisation aléatoire et statistique, Toulouse; Septembre 1996 - Poster: Estimation adaptative de la densité.


Conference Organisation


  1. Mathematical Foundations of Machine Learning (P. Bartlett, C. Butucea, J. Schmidt-Hieber), March 21-27, 2021, MFOberwolfach, Germany
  2. 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
  3. Mathematical Methods of Statistics (C. Butucea, C. Pouet, V. Spokoiny), December 16-20, 2019 CIRM, Luminy, France
  4. Mathematical Methods of Statistics (C. Butucea, C. Pouet, V. Spokoiny) December 16-21, 2018 Fréjus, France
  5. Workshop on High-dimensional problems and quantum physics, June 8-10, 2015, Champs-sur-Marne, Marne-la-Vallée
  6. Workshop (C. Butucea, P. Vandekerkhove) Statistique des nouvelles données, June 2012, Champs-sur-Marne, Marne-la-Vallée



Editorial boards


  1.  Associated Editor ALEA 2016-
  2. Associated Editor Electronic Journal of Statistics 2010-2012