I am a postdoc researcher at Weierstrass Institute, Berlin. I obtained my Ph.D. at the University of Lyon in October 2021 under the joint supervision of Filippo Santambrogio and Andrei Sobolevski. My main research interests are optimal transportation theory, mathematical statistics, learning theory, convex optimization, and their interactions.

Publications

Preprints

1. Diffusion & adversarial Schrödinger bridges via iterative proportional Markovian fitting, 2025 [arXiv]. With Kholkin S. et al.
2. Bernstein-type and Bennett-type inequalities for unbounded matrix martingales, 2024 [arXiv]. With A. Suvorikova
3. Generalized bootstrap in the Bures-Wasserstein space, 2024 [arXiv]. With V. Spokoiny and A. Suvorikova

Journal publications

1. Primal-dual gradient methods for searching network equilibria in combined models with nested choice structure and capacity constraints. Comput Manag Sci, 2024 [arXiv]. With M. Kubentayeva et al.
2. Infinite multidimensional scaling for metric measure spaces. ESAIM: COCV, 2022 [arXiv]. With E. Stepanov and D. Trevisan
3. Robust k-means Clustering for Distributions with Two Moments. Annals of Statistics, 2021 [arXiv]. With Y. Klochkov and N. Zhivotovskiy
4. Entropic-Wasserstein barycenters: PDE characterization, regularity and CLT. SIAM Journal on Mathematical Analysis, 2021 [arXiv]. With G. Carlier and K. Eichinger
5. Statistical Inference for Bures-Wasserstein Barycenters. Annals of Applied Probability, 2021 [arXiv]. With V. Spokoiny and A. Suvorikova
6. Fréchet Barycenters in the Monge-Kantorovich Spaces. Journal of Convex Analysis, 2018 [arXiv]

Conference papers

1. On the Complexity of Approximating Wasserstein Barycenter. ICML 2019 [link]. With D. Dvinskikh, P. Dvurechensky, A. Gasnikov, N. Tupitsa, and C. Uribe
2. Computational Optimal Transport: Complexity by Accelerated Gradient Descent Is Better Than by Sinkhorn’s Algorithm. ICML 2018 [link]. With P. Dvurechensky and A. Gasnikov

Online seminar

On the interactions between Statistics and Geometry

Together with Victor-Emmanuel Brunel, Austin Stromme, and Quentin Paris, we organize a monthly online seminar on Geometry and Mathematical Statistics. The aim is to promote communication between the two fields. Announcements of upcoming talks and records of the previous ones can be found on the seminar page.