Found 1597 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Mean-field electrodynamics of fluids with fluctuating electric conductivity

The influence of fluctuating conductivity on the coefficients known from the mean-field electrodynamics is considered. Expand abstract.
78 days ago
10/10 relevant
arXiv

Microscopic Derivation of Mean Field Game Models

We use the concept of Nash equilibria and apply the dynamic programming principle to derive the mean field limit equations and we study the scaling behavior of the system as the number of agents tends to infinity and find several mean field game limits. Expand abstract.
80 days ago
10/10 relevant
arXiv

Ensemble Kalman Sampling: mean-field limit and convergence analysis

In this paper, we analyze the continuous version of EKS, a coupled SDE system, and justify its mean-filed limit is a Fokker-Planck equation, whose equilibrium state is the target distribution. Expand abstract.
81 days ago
8/10 relevant
arXiv

Metastability in a continuous mean-field model at low temperature and strong interaction

We consider a system of $ N \in \mathbb{N} $ mean-field interacting stochastic differential equations that are driven by a single-site potential of double-well form and by Brownian noise. Expand abstract.
84 days ago
10/10 relevant
arXiv

Local minima in disordered mean-field ferromagnets

We consider the complexity of random ferromagnetic landscapes on the hypercube $\{\pm 1\}^N$ given by Ising models on the complete graph with i.i.d. non-negative edge-weights. Expand abstract.
84 days ago
8/10 relevant
arXiv

Weak and strong error analysis for mean-field rank based particle approximations of one dimensional viscous scalar conservation law

In this paper, we analyse the rate of convergence of a system of $N$ interacting particles with mean-field rank based interaction in the drift coefficient and constant diffusion coefficient. Expand abstract.
85 days ago
10/10 relevant
arXiv

Small-scale spatial structure influences large-scale invasion rates

We conclude that mean-field models, even when they account for non-local processes such as dispersal and competition, can give misleading predictions for the speed of a moving invasion front. Expand abstract.
87 days ago
4/10 relevant
bioRxiv

Convergence of a first-order consensus-based global optimization algorithm

Based on the consensus estimate directly on the first-order CBO model, we provide a convergence analysis of the first-order CBO method \cite{C-J-L-Z} without resorting to the corresponding mean-field model. Expand abstract.
92 days ago
4/10 relevant
arXiv

Actor-Critic Provably Finds Nash Equilibria of Linear-Quadratic Mean-Field Games

To the best of our knowledge, this is the first success of applying model-free reinforcement learning with function approximation to discrete-time mean-field Markov games with provable non-asymptotic global convergence guarantees. Expand abstract.
93 days ago
10/10 relevant
arXiv

Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations

We show stability estimates in the euclidean Wasserstein distance for the mean field PDE by using optimal transport arguments. Expand abstract.
93 days ago
4/10 relevant
arXiv