Fr\'echet Means in Infinite Dimensions

AQ Jaffe - arxiv preprint arxiv:2410.17214, 2024 - arxiv.org
While there exists a well-developed asymptotic theory of Fr\'echet means of random
variables taking values in a general" finite-dimensional" metric space, there are only a few …

Monge–Kantorovich interpolation with constraints and application to a parking problem

G Buttazzo, G Carlier, K Eichinger - Interfaces and Free …, 2024 - content.ems.press
We consider optimal transport problems where the cost for transporting a given probability
measure 0 to another one (1) consists of two parts: the first one measures the transportation …

Generalized Fast Krasnosel'ki\u {\i}-Mann Method with Preconditioners

RI Boţ, E Chenchene, JM Fadili - arxiv preprint arxiv:2411.18574, 2024 - arxiv.org
We study accelerated Krasnosel'ki\u {\i}-Mann-type methods with preconditioners in both
continuous and discrete time. From a continuous time model, we derive a generalized fast …

Computing Barycentres of Measures for Generic Transport Costs

E Tanguy, J Delon, N Gozlan - arxiv preprint arxiv:2501.04016, 2024 - arxiv.org
Wasserstein barycentres represent average distributions between multiple probability
measures for the Wasserstein distance. The numerical computation of Wasserstein …

[หนังสือ][B] Geometry, Analysis, and Optimization in Probability Theory

AQ Jaffe - 2024 - search.proquest.com
The focus of this thesis is the use of techniques from geometry, analysis, and optimization to
several concrete problems in probability theory, and also to some problems in statistics and …