A unified diffusion-based particle framework for stochastic optimisation with intractable gradients, with exponential contraction and finite-particle error bounds, instantiated as new momentum and higher-order Langevin algorithms.
Corollary 2 therefore verifiesA3 in the displayed hypocoercive metrics
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Particle-based Generalised Stochastic Optimisation
A unified diffusion-based particle framework for stochastic optimisation with intractable gradients, with exponential contraction and finite-particle error bounds, instantiated as new momentum and higher-order Langevin algorithms.