102 citations · 261 across the 20 of their papers we have counts for
21 papers
Optimal transport with a density-dependent cost function
Zichu Wang, Esteban G. Tabak
A new pairwise cost function is proposed for the optimal transport barycenter problem, adopting the form of the minimal action between two points, with a Lagrangian that takes into…
The hierarchical barycenter: conditional probability simulation with structured and unobserved covariates
Esteban G. Tabak, Giulio Trigila, Wenjun Zhao
This paper presents a new method for conditional probability density simulation. The method is design to work with unstructured data set when data are not characterized by the same…
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…
Adversarial Optimal Transport Through The Convolution Of Kernels With Evolving Measures
Daeyoung Kim, Esteban G. Tabak
A novel algorithm is proposed to solve the sample-based optimal transport problem. An adversarial formulation of the push-forward condition uses a test function built as a convolut…