  Many natural phenomena are effectively described by interacting particle
systems, which can be modeled using either deterministic or stochastic
differential equations (SDEs). In this study, we specifically investigate
particle systems modeled by SDEs, wherein the mean field limit converges to a
Vlasov-Fokker-Planck-type equation. Departing from conventional approaches in
stochastic analysis, we explore the network connectivity between particles
using diagraph measures (DGMs). DGMs are one possible tool to capture sparse,
intermediate and dense network/graph interactions in the mean-field thereby
going beyond more classical approaches such as graphons. Since the main goal is
to capture large classes of mean-field limits, we set up our approach using
measure-theoretic arguments and combine them with suitable moment estimates to
ensure approximation results for the mean-field.
