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Convergence rates of Gibbs measures with degenerate minimum

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Publication:2676926
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DOI10.3150/21-BEJ1424WikidataQ114038742 ScholiaQ114038742MaRDI QIDQ2676926

Pierre Bras

Publication date: 28 September 2022

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11557


zbMATH Keywords

stochastic optimizationcentral limit theoremHilbert's 17th problemGibbs measures


Mathematics Subject Classification ID

Markov processes (60Jxx) Classical measure theory (28Axx) Probability theory on algebraic and topological structures (60Bxx)


Related Items (1)

Convergence of Langevin-simulated annealing algorithms with multiplicative noise. II: Total variation



Cites Work

  • Unnamed Item
  • Laplace's method revisited: Weak convergence of probability measures
  • Gibbs measures asymptotics
  • A Generalization of Laplaces's Method
  • Recursive Stochastic Algorithms for Global Optimization in $\mathbb{R}^d $
  • Coercive polynomials: stability, order of growth, and Newton polytopes
  • Asymptotic Behavior of a Markovian Stochastic Algorithm with Constant Step
  • Symmetric Tensors and Symmetric Tensor Rank
  • Coercive Polynomials and Their Newton Polytopes
  • Theoretical Guarantees for Approximate Sampling from Smooth and Log-Concave Densities


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