Spectral thresholding for the estimation of Markov chain transition operators
From MaRDI portal
Publication:2074325
DOI10.1214/21-EJS1935zbMath1493.62172arXiv1808.08153OpenAlexW2888276718MaRDI QIDQ2074325
Matthias Löffler, Antoine Picard
Publication date: 9 February 2022
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.08153
Markov chaintransition densitytransition operatornonparametric estimationminimax rates of convergencelow rankSDE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gaussian process methods for one-dimensional diffusions: optimal rates and adaptation
- Spectral estimation for diffusions with random sampling times
- Minimal penalty for Goldenshluger-Lepski method
- Estimation of the transition density of a Markov chain
- Noisy matrix decomposition via convex relaxation: optimal rates in high dimensions
- Anti-concentration and honest, adaptive confidence bands
- 100 years of Weyl's law
- Optimal selection of reduced rank estimators of high-dimensional matrices
- Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion
- Bernstein-von Mises theorems for statistical inverse problems. I: Schrödinger equation
- Estimation de la transition de probabilité d'une chaîne de Markov Doeblin-recurrente. Étude du cas du processus autoregressif général d'ordre 1
- Asymptotic optimality for \(C_ p\), \(C_ L\), cross-validation and generalized cross-validation: Discrete index set
- Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
- Exponential convergence of Langevin distributions and their discrete approximations
- Long-time behaviour of heat flow: Global estimates and exact asymptotics
- Nonparametric estimation of scalar diffusions based on low frequency data
- Rank penalized estimators for high-dimensional matrices
- Inhomogeneous and anisotropic conditional density estimation from dependent data
- Nonparametric statistical inference for drift vector fields of multi-dimensional diffusions
- Nonparametric Bayesian posterior contraction rates for scalar diffusions with high-frequency data
- Adaptive estimation of the transition density of a Markov chain
- Nonparametric Bayesian posterior contraction rates for discretely observed scalar diffusions
- Minimax sparse principal subspace estimation in high dimensions
- Sparse PCA: optimal rates and adaptive estimation
- Noisy low-rank matrix completion with general sampling distribution
- Nonparametric estimation of the stationary density and the transition density of a Markov chain
- Nonparametric estimation in Markov processes
- ARCH models as diffusion approximations
- A Singular Value Thresholding Algorithm for Matrix Completion
- Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems
- Stochastic Processes with Applications
- Mathematical Foundations of Infinite-Dimensional Statistical Models
- A completely automatic french curve: fitting spline functions by cross validation
- Time-reversible diffusions
- The weyl calculus of pseudo-differential operators
- An iterative hard thresholding estimator for low rank matrix recovery with explicit limiting distribution
- Analysis and Geometry of Markov Diffusion Operators
- Convergence Rates for Penalized Least Squares Estimators in PDE Constrained Regression Problems
- Dimension Reduction and Coefficient Estimation in Multivariate Linear Regression
- Spectral State Compression of Markov Processes
- Adaptive Low-Nonnegative-Rank Approximation for State Aggregation of Markov Chains
- Tight Oracle Inequalities for Low-Rank Matrix Recovery From a Minimal Number of Noisy Random Measurements
- Restricted strong convexity and weighted matrix completion: Optimal bounds with noise
- Robust tests for model selection
- On the asymptotic distribution of the eigenvalues and eigenfunctions of elliptic differential operators