Optimal transport (OT) theory can be informally described using the words of the French
mathematician Gaspard Monge (1746–1818): A worker with a shovel in hand has to move a …

Mean field games (MFG) and mean field control (MFC) are critical classes of multiagent
models for the efficient analysis of massive populations of interacting agents. Their areas of …

Identification of community structures in complex network is of crucial importance for
understanding the system's function, organization, robustness and security. Here, we …

Despite the broad use of fixed-point iterations throughout applied mathematics, the optimal
convergence rate of general fixed-point problems with nonexpansive nonlinear operators …

Statistical inference can be performed by minimizing, over the parameter space, the
Wasserstein distance between model distributions and the empirical distribution of the data …

We introduce a novel framework to model and solve first-order mean field game systems
with nonlocal interactions, extending the results in [L. Nurbekyan and J. Saúde, Port. Math …

Optimal transportation provides a means of lifting distances between points on a geometric
domain to distances between signals over the domain, expressed as probability …

Grant-free access, in which channels are accessed without undergoing assignment through
a handshake process, is a promising solution to support massive connectivity needed for …

We propose an extension of the computational fluid mechanics approach to the Monge-
Kantorovich mass transfer problem, which was developed by Benamou-Brenier in [4]. Our …

We present a primal-dual method to solve L^1-type nonsmooth optimization problems
independently of the grid size. We apply these results to two important problems: the Rudin …