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New research details rapid mixing for Gibbs measures in Riemannian manifolds

By PulseAugur Editorial · [1 sources] ·

Researchers have identified conditions for rapid mixing of Gibbs measures in Riemannian manifolds using Langevin dynamics. These conditions, related to manifold curvature and temperature, ensure polynomial mixing times by avoiding barren plateaus and local minima. The work establishes a connection between Langevin processes in different domains, which may have independent utility. AI

RANK_REASON This is a research paper published on arXiv detailing mathematical physics concepts. [lever_c_demoted from research: ic=1 ai=0.1]

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  1. arXiv stat.ML TIER_1 English(EN) · David Pérez-García ·

    Rapid mixing for Gibbs measures in Riemannian manifolds

    Langevin dynamics on Riemannian manifolds is analyzed. Conditions ensuring the existence of a suitable logarithmic Sobolev inequality (rapid mixing to the Gibbs measure) are identified. These conditions involve the curvature of the manifold, the inverse temperature, escaping dire…

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