Proves dimension-uniform KL bounds for exponential-integrator discretization of preconditioned ALD on Gaussian mixtures under spectral summability, showing EM stability restrictions are scheme-dependent rather than intrinsic.
Optimal Riemannian metric for Poincaré inequal- ities and how to ideally precondition Langevin dynamics
4 Pith papers cite this work. Polarity classification is still indexing.
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Shape optimization of a timescale separation metric, using analytic variations of Dirichlet eigenvalues for reversible diffusions, yields improved metastable state definitions validated on a biomolecular benchmark.
Derives weighted Poincaré inequalities for Liouville and elliptically contoured distributions via transport argument and applies them to global sensitivity analysis with dependent inputs modeled by copulas.
Reviews and provides numerical analysis for three classes of methods to compute transport coefficients in molecular dynamics, including error estimates and variance reduction techniques.
citing papers explorer
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Dimension-Uniform Discretization Analysis of Preconditioned Annealed Langevin Dynamics for Multimodal Gaussian Mixtures
Proves dimension-uniform KL bounds for exponential-integrator discretization of preconditioned ALD on Gaussian mixtures under spectral summability, showing EM stability restrictions are scheme-dependent rather than intrinsic.
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Shape optimization of metastable states
Shape optimization of a timescale separation metric, using analytic variations of Dirichlet eigenvalues for reversible diffusions, yields improved metastable state definitions validated on a biomolecular benchmark.
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On weighted Poincar{\'e} inequalities for multivariate Liouville distributions -- Application to Global Sensitivity Analysis
Derives weighted Poincaré inequalities for Liouville and elliptically contoured distributions via transport argument and applies them to global sensitivity analysis with dependent inputs modeled by copulas.
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Mathematical analysis and numerical methods for the computation of transport coefficients in molecular dynamics
Reviews and provides numerical analysis for three classes of methods to compute transport coefficients in molecular dynamics, including error estimates and variance reduction techniques.