Convergence of simulated annealing using kinetic Langevin dynamics
DOI10.1214/24-EJP1138zbMATH Open1547.35681MaRDI QIDQ6595692
Xiaolu Tan, Xue Dong He, Ruocheng Wu
Publication date: 30 August 2024
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Numerical optimization and variational techniques (65K10) Asymptotic behavior of solutions to PDEs (35B40) Approximation methods and heuristics in mathematical programming (90C59) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Numerical solutions to stochastic differential and integral equations (65C30) Fokker-Planck equations (35Q84) PDEs in connection with statistical mechanics (35Q82)
Cites Work
- Title not available (Why is that?)
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- Optimization by Simulated Annealing
- Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape
- Short and long time behavior of the Fokker-Planck equation in a confining potential and applications
- Asymptotics of the spectral gap with applications to the theory of simulated annealing
- Recuit simulé sur \(\mathbb{R}{}^ n\). Étude de l'évolution de l'énergie libre. (Simulated annealing on \(\mathbb{R}{}^ n\). Study of the evolution of free energy)
- Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
- Hypocoercivity in metastable settings and kinetic simulated annealing
- The kinetic Fokker-Planck equation with mean field interaction
- Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials
- Is there an analog of Nesterov acceleration for gradient-based MCMC?
- On the simulated annealing in \(\mathbb{R}^d\)
- Ergodicity of the infinite swapping algorithm at low temperature
- Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations
- Couplings and quantitative contraction rates for Langevin dynamics
- Annealing diffusions in a potential function with a slow growth
- Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise.
- On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: The linear Fokker-Planck equation
- ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
- Numerical hypocoercivity for the Kolmogorov equation
- A Remark on Simulated Annealing of Diffusion Processes
- Diffusions for Global Optimization
- Diffusion for Global Optimization in $\mathbb{R}^n $
- Analysis and Geometry of Markov Diffusion Operators
- Weighted L 2-contractivity of Langevin dynamics with singular potentials
- State-Dependent Temperature Control for Langevin Diffusions
- Stochastic Processes and Applications
- Partial differential equations and stochastic methods in molecular dynamics
- An entropic approach for Hamiltonian Monte Carlo: the idealized case
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