Uniform-in-time propagation-of-chaos bounds for SVGD are obtained via cutoff for distributional metrics (logarithmic rates) and via finite-dimensional closure plus conjugacy for Gaussian targets (parametric N^{-1/2} rates).
arXiv , year=:2404.13117 , journal=
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Two-type interacting particles with non-local order-based switching converge in law to a McKean-Vlasov process whose long-time behavior includes traveling waves identified via phase-plane analysis of a reduced ODE system for exponential jumps.
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Uniform-in-time propagation-of-chaos bounds for SVGD are obtained via cutoff for distributional metrics (logarithmic rates) and via finite-dimensional closure plus conjugacy for Gaussian targets (parametric N^{-1/2} rates).
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Two-type interacting particles with non-local order-based switching converge in law to a McKean-Vlasov process whose long-time behavior includes traveling waves identified via phase-plane analysis of a reduced ODE system for exponential jumps.