Dimension Free Nonasymptotic Bounds on the Accuracy of High-Dimensional Laplace Approximation
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Publication:6062239
DOI10.1137/22m1495688zbMath1527.62025arXiv2204.11038OpenAlexW4387099177MaRDI QIDQ6062239
Publication date: 30 November 2023
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.11038
Inequalities; stochastic orderings (60E15) Bayesian inference (62F15) Monte Carlo methods (65C05) Numerical optimization and variational techniques (65K10)
Cites Work
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- Simple upper and lower bounds for the multivariate Laplace approximation
- The Bernstein-von Mises theorem and nonregular models
- Efficient nonparametric Bayesian inference for \(X\)-ray transforms
- Bernstein-von Mises theorems for statistical inverse problems. I: Schrödinger equation
- Error bounds for multidimensional Laplace approximation
- Asymptotic methods in statistical decision theory
- Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problems
- On the convergence of the Laplace approximation and noise-level-robustness of Laplace-based Monte Carlo methods for Bayesian inverse problems
- Large ball probabilities, Gaussian comparison and anti-concentration
- High-dimensional Bayesian inference via the unadjusted Langevin algorithm
- Multivariate Laplace's approximation with estimated error and application to limit theorems
- Random gradient-free minimization of convex functions
- Error bounds for the Laplace approximation for definite integrals
- Asymptotic Approximations of Integrals
- Inverse problems: A Bayesian perspective
- Asymptotic Statistics
- Bernstein--von Mises Theorems and Uncertainty Quantification for Linear Inverse Problems
- Analysis of the Ensemble Kalman Filter for Inverse Problems
- Theoretical Guarantees for Approximate Sampling from Smooth and Log-Concave Densities
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