We introduce a new stochastic differential model for global optimization of nonconvex
functions on compact hypersurfaces. The model is inspired by the stochastic Kuramoto …

Systems of interacting particles, or agents, have wide applications in many disciplines,
including Physics, Chemistry, Biology and Economics. These systems are governed by …

This paper concerns the parameter estimation problem for the quadratic potential energy in
interacting particle systems from continuous-time and single-trajectory data. Even though …

We address a fundamental issue in the nonparametric inference for systems of interacting
particles: the identifiability of the interaction functions. We prove that the interaction functions …

The well‐posedness and regularity properties of diffusion–aggregation equations, emerging
from interacting particle systems, are established on the whole space for bounded …

We rigorously justify the mean-field limit of an N-particle system subject to Brownian motions
and interacting through the Newtonian potential in R^ 3 R 3. Our result leads to a derivation …

The mean-field analysis of a multipopulation agent-based model is performed. The model
couples a particle dynamics driven by a nonlocal velocity with a Markov-type jump process …

Aggregation equations are broadly used to model population dynamics with nonlocal
interactions, characterized by a potential in the equation. This paper considers the inverse …

We provide a mean-field description for a leader–follower dynamics with mass transfer
among the two populations. This model allows the transition from followers to leaders and …

Nonparametric estimation of nonlocal interaction kernels is crucial in various applications
involving interacting particle systems. The inference challenge, situated at the nexus of …