Publications

Learning on metric spaces and Riemannian manifolds

Convex generalized Fréchet means in a metric tree, Joint with Gabriel Romon (submitted)

Geodesically convex M-estimation in metric spaces, Conference On Learning Theory 2023

Concentration of empirical barycenters in metric spaces, Joint with Jordan Serres, Algorithmic Learning Theory 2024

Learning Determinantal Point Processes

Recovering a Magnitude-Symmetric Matrix from its Principal Minors, Joint with J. Urschel (submitted)

Scalable Learning and MAP Inference for Nonsymmetric Determinantal Point Processes, Joint with M. Gartrell, I. Han, E. Dohmatob and J. Gillenwater, International Conference on Learning Representations 2020 (arXiv2006.09862)

Learning Non Symmetric Determinantal Point Processes, Joint with M. Gartrell, E. Dohmatob and S. Krichene, NeurIPS 2019 (arXiv1905.12962)

Learning Signed Determinantal Point Processes through the Principal Minor Assignment Problem, NIPS 2018 (arXiv:1811.00465; For the presentation: Poster)

Maximum likelihood estimation of Determinantal Point Processes, Joint with A. Moitra, P. Rigollet and J. Urschel (arXiv:1701.06501)

Learning Determinantal Point Processes with Moments and Cycles, Joint with A. Moitra, P. Rigollet and J. Urschel, ICML 2017 (For the presentation: Slides – Poster)

Rates of estimation for determinantal point processes, Joint with A. Moitra, P. Rigollet and J. Urschel, COLT 2017 (For the presentation: Slides – Poster)

Set estimation / Stochastic geometry

Adaptive estimation of convex polytopes and convex sets from noisy data, Electronic Journal of Statistics, Vol. 7, pp. 1301-1327 (2013)

Adaptive estimation of polytopal and convex support, Probability Theory and Related Fields, Vol. 164, pp. 1-16 (2016)

A change-point problem and inference for segment signals, ESAIM: Probability and Statistics, Vol. 22, pp. 210-235 (2018)

Uniform behaviors of random polytopes under the Hausdorff metric, Bernoulli, Vol. 25, pp. 1770-1793 (2019)

Concentration of the empirical level sets of Tukey’s halfspace depth, Probability Theory and Related Fields, Vol. 173, pp. 1165-1196 (2019)

Uniform deviation and moment inequalities for random polytopes with general densities in arbitrary convex bodies, Accepted for publication at Bernoulli (arXiv:1704.01620)

Estimation of convex supports from noisy measurements, Joint with J. Klusowski and X. Yang, Accepted for publication at Bernoulli (arXiv:1804.09879)

Methods for Estimation of Convex Sets, Statistical Science, Vol. 33, pp. 615-632 (2018)

Robustness/Privacy

Best Arm identification for Contaminated Bandits, Joint with J. Altschuler and A. Malek, Journal of Machine Learning Research, Vol. 20 (2019) (arXiv:1802.09514)

A nonasymptotic law of iterated logarithm for robust online estimators, Joint with A. Dalalyan and N. Schreuder, Accepted at AISTATS 2020 (arXiv:1903.06576)

Differentially Private Sub-Gaussian Location Estimators, Joint with M. Avella, Submitted (arXiv:1906.11923)

Propose, Test and Release: Differentially Private Estimation with High Probability, Joint with M. Avella, Submitted (arXiv:2002.08774)

Miscellaneous

Bayesian Off-Policy Evaluation and Learning for Large Action Spaces, Joint with I. Aouali, A. Korba and D. Rohde (submitted)

Exponential smoothing for off-policy learning, Joint with I. Aouali, A. Korba and D. Rohde, ICML 2023

Learning rates for Gaussian mixtures under group invariance, Proceedings of the 32nd Conference On Learning Theory (COLT), pp. 471-491 (2019) (arXiv:1902.11176)

Statistical Guarantees for Generative Models without Domination, Joint with N. Schreuder and A. Dalalyan, Proceedings of Algorithmic Learning Theory (ALT), pp. 1051-1071 (arXiv:2010.09237)