102 citations · 261 across the 20 of their papers we have counts for
9 papers · 1 filter
The Monge optimal transport barycenter problem
Andrew D. Lipnick, Esteban G. Tabak, Giulio Trigila +3
A novel methodology is developed for the solution of the data-driven Monge optimal transport barycenter problem, where the pushforward condition is formulated in terms of the stati…
A new approach to data assimilation initialization problems with sparse data using multiple cost functions
David J. Abers, George Hripcsak, Lena Mamykina +2
This article develops a novel data assimilation methodology, addressing challenges that are common in real-world settings, such as severe sparsity of observations, lack of reliable…
Distributional barycenter problem through data-driven flows
Esteban G. Tabak, Giulio Trigila, Wenjun Zhao
A new method is proposed for the solution of the data-driven optimal transport barycenter problem and of the more general distributional barycenter problem that the article introdu…
Data Driven Conditional Optimal Transport
Esteban G. Tabak, Giulio Trigila, Wenjun Zhao
A data driven procedure is developed to compute the optimal map between two conditional probabilities and depending on a set of covari…
Conditional Density Estimation, Latent Variable Discovery and Optimal Transport
Hongkang Yang, Esteban G. Tabak
A framework is proposed that addresses both conditional density estimation and latent variable discovery. The objective function maximizes explanation of variability in the data, a…
An implicit gradient-descent procedure for minimax problems
Montacer Essid, Esteban Tabak, Giulio Trigila
A game theory inspired methodology is proposed for finding a function's saddle points. While explicit descent methods are known to have severe convergence issues, implicit methods…