Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis
DOI10.1137/20M1339507zbMath1468.35205arXiv1910.12923OpenAlexW3138739191MaRDI QIDQ5858114
Publication date: 9 April 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.12923
Bayesian inference (62F15) Statistical sampling theory and related topics (62D99) Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)
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- Clarification and complement to ``Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and Fitzhugh-Nagumo neurons
- Mean field limit and propagation of chaos for Vlasov systems with bounded forces
- On the rate of convergence in Wasserstein distance of the empirical measure
- A dynamical systems framework for intermittent data assimilation
- General state space Markov chains and MCMC algorithms
- The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
- Best constants in moment inequalities for linear combinations of independent and exchangeable random variables
- Exponential convergence of Langevin distributions and their discrete approximations
- Langevin diffusions and Metropolis-Hastings algorithms
- Random batch methods (RBM) for interacting particle systems
- User-friendly guarantees for the Langevin Monte Carlo with inaccurate gradient
- Couplings and quantitative contraction rates for Langevin dynamics
- A review of the mean field limits for Vlasov equations
- A mean field limit for the Vlasov-Poisson system
- Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity. Based on the presentations at the summer school, Enschede, the Netherlands, 2012
- On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system
- Sequential Monte Carlo Methods in Practice
- A blob method for the aggregation equation
- Ensemble Kalman methods for inverse problems
- STOCHASTIC MEAN-FIELD LIMIT: NON-LIPSCHITZ FORCES AND SWARMING
- Inverse problems: A Bayesian perspective
- Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations
- A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
- Long-Time Stability and Accuracy of the Ensemble Kalman--Bucy Filter for Fully Observed Processes and Small Measurement Noise
- Convergence of the point vortex method for the 2-D euler equations
- A Tutorial on Thompson Sampling
- Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime
- Convergence analysis of ensemble Kalman inversion: the linear, noisy case
- Bayesian Inference in Econometric Models Using Monte Carlo Integration
- Nonasymptotic mixing of the MALA algorithm
- Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler
- Well posedness and convergence analysis of the ensemble Kalman inversion
- Analysis of the Ensemble Kalman Filter for Inverse Problems
- The ensemble Kalman filter for combined state and parameter estimation
- Functions of Matrices
- Theoretical Guarantees for Approximate Sampling from Smooth and Log-Concave Densities
- Particle methods for dispersive equations
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