Establishes the first viscosity comparison theorem for second-order PDEs on Wasserstein space with general state- and law-dependent common-noise directions via a measure-dependent Lamperti transform.
‘Uniform-in-time weak propagation of chaos for consensus-based optimization’
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 3verdicts
UNVERDICTED 3representative citing papers
Proves uniform-in-time propagation of chaos for second-order CBO at Monte Carlo rate via shifted internal variables, a position-velocity Lyapunov functional, and centered-moment decay.
A stochastic particle system is proposed in Hilbert spaces with associated mean-field limit, establishing well-posedness, consensus analysis, and convergence to the minimizer under suitable assumptions on the objective, plus a finite-particle algorithm.
citing papers explorer
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A comparison principle for Wasserstein PDEs with state- and law-dependent common noise
Establishes the first viscosity comparison theorem for second-order PDEs on Wasserstein space with general state- and law-dependent common-noise directions via a measure-dependent Lamperti transform.
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Uniform-in-time propagation of chaos for Second-Order Consensus-Based Optimization
Proves uniform-in-time propagation of chaos for second-order CBO at Monte Carlo rate via shifted internal variables, a position-velocity Lyapunov functional, and centered-moment decay.
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A derivative-free particle method for optimization in Hilbert spaces
A stochastic particle system is proposed in Hilbert spaces with associated mean-field limit, establishing well-posedness, consensus analysis, and convergence to the minimizer under suitable assumptions on the objective, plus a finite-particle algorithm.