Alexey Kroshnin
Alexey Kroshnin
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Computational optimal transport: Complexity by accelerated gradient descent is better than by Sinkhorn’s algorithm
P Dvurechensky, A Gasnikov, A Kroshnin
International conference on machine learning, 1367-1376, 2018
On the complexity of approximating Wasserstein barycenter
A Kroshnin, D Dvinskikh, P Dvurechensky, A Gasnikov, N Tupitsa, C Uribe
International conference on machine learning, 3530-3540, 2019
Gradient methods for problems with inexact model of the objective
FS Stonyakin, D Dvinskikh, P Dvurechensky, A Kroshnin, O Kuznetsova, ...
International Conference on Mathematical Optimization Theory and Operations …, 2019
Statistical inference for Bures–Wasserstein barycenters
A Kroshnin, V Spokoiny, A Suvorikova
The Annals of Applied Probability 31 (3), 1264-1298, 2021
Inexact model: A framework for optimization and variational inequalities
F Stonyakin, A Tyurin, A Gasnikov, P Dvurechensky, A Agafonov, ...
Optimization Methods and Software, 1-47, 2021
Robust k-means clustering for distributions with two moments
Y Klochkov, A Kroshnin, N Zhivotovskiy
The Annals of Statistics 49 (4), 2206-2230, 2021
Fréchet barycenters in the Monge-Kantorovich spaces
A Kroshnin
Journal of Convex Analysis 25 (4), 1371-1395, 2018
Entropic-Wasserstein barycenters: PDE characterization, regularity, and CLT
G Carlier, K Eichinger, A Kroshnin
SIAM Journal on Mathematical Analysis 53 (5), 5880-5914, 2021
Fréchet Barycenters and a Law of Large Numbers for Measures on the Real Line
A Kroshnin, A Sobolevski
arXiv preprint arXiv:1512.08421, 2015
Multiplier bootstrap for Bures-Wasserstein barycenters
A Kroshnin, V Spokoiny, A Suvorikova
arXiv preprint arXiv:2111.12612, 2021
Diffeomorphic metric learning and template optimization for registration-based predictive models
A Mussabayeva, M Pisov, A Kurmukov, A Kroshnin, Y Denisova, L Shen, ...
Multimodal Brain Image Analysis and Mathematical Foundations of …, 2019
Image registration and predictive modeling: learning the metric on the space of diffeomorphisms
A Mussabayeva, A Kroshnin, A Kurmukov, Y Denisova, L Shen, S Cong, ...
International Workshop on Shape in Medical Imaging, 160-168, 2018
On the properties of some low-parameter models for color reproduction in terms of spectrum transformations and coverage of a color triangle
A Kroshnin, V Vasilev, E Ershov, D Shepelev, D Nikolaev, M Tchobanou
JOSA A 39 (3), 452-458, 2022
Infinite multidimensional scaling for metric measure spaces
A Kroshnin, E Stepanov, D Trevisan
arXiv preprint arXiv:2201.05885, 2022
Slope detection criterion robust to sparse 2D data
D Bocharov, A Kroshnin, D Nikolaev
Thirteenth International Conference on Machine Vision 11605, 134-140, 2021
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