Consistent inference for diffusions from low frequency measurements

Factor analysis and principal components; correspondence analysis (62H25) Asymptotic properties of nonparametric inference (62G20) Bayesian inference (62F15) Inference from stochastic processes and spectral analysis (62M15) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Cites Work

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Rates of contraction for posterior distributions in \(L^{r}\)-metrics, \(1 \leq r \leq \infty\)
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients
A global uniqueness theorem for an inverse boundary value problem
On statistical Calderón problems
Bernstein-von Mises theorems for statistical inverse problems. I: Schrödinger equation
Asymptotic statistical equivalence for ergodic diffusions: the multidimensional case
Iterative regularization methods for nonlinear ill-posed problems
Rates of contraction of posterior distributions based on Gaussian process priors
Partial differential equations. III: Nonlinear equations.
Rearrangements and convexity of level sets in PDE
Reconstructions from boundary measurements
Stochastic differential equations with reflecting boundary condition in convex regions
A counterexample to the ``hot spots conjecture
On the ``hot spots conjecture of J. Rauch
Geometric MCMC for infinite-dimensional inverse problems
Nonparametric estimation of scalar diffusions based on low frequency data
Estimation of the first eigenvalue of second order elliptic operators
Consistent nonparametric Bayesian inference for discretely observed scalar diffusions
Adaptive invariant density estimation for ergodic diffusions over anisotropic classes
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors
Spectral thresholding for the estimation of Markov chain transition operators
Nonparametric Bayesian inference for reversible multidimensional diffusions
Sup-norm adaptive drift estimation for multivariate nonreversible diffusions
Nonparametric statistical inference for drift vector fields of multi-dimensional diffusions
Nonparametric Bayesian drift estimation for multidimensional stochastic differential equations
Euclidean triangles have no hot spots
Dimension-independent likelihood-informed MCMC
Bayesian estimation of discretely observed multi-dimensional diffusion processes using guided proposals
Nonparametric Bayesian posterior contraction rates for discretely observed scalar diffusions
The nonparametric LAN expansion for discretely observed diffusions
Concentration inequalities for Markov chains by Marton couplings and spectral methods
Exact adaptive pointwise drift estimation for multidimensional ergodic diffusions
Asymptotically efficient estimation of smooth functionals of covariance operators
Inverse problems: A Bayesian perspective
Hot spots in convex domains are in the tips (up to an inradius)
Mathematical Foundations of Infinite-Dimensional Statistical Models
Electrical impedance tomography and Calderón's problem
Determining conductivity by boundary measurements
An Inverse Problem for the Steady State Diffusion Equation
Diffusions and Elliptic Operators
On Neumann eigenfunctions in lip domains
The “hot spots” conjecture for domains with two axes of symmetry
Analysis and Geometry of Markov Diffusion Operators
Convergence Rates for Penalized Least Squares Estimators in PDE Constrained Regression Problems
Consistent Inversion of Noisy <scp>Non‐Abelian X‐Ray</scp> Transforms
Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problem
Probabilistic Forecasting and Bayesian Data Assimilation
Data Assimilation
Tight Oracle Inequalities for Low-Rank Matrix Recovery From a Minimal Number of Noisy Random Measurements
Filtering Complex Turbulent Systems
Diffusion Coefficients Estimation for Elliptic Partial Differential Equations
Fundamentals of Nonparametric Bayesian Inference
Stochastic Processes
Analytic semigroups and optimal regularity in parabolic problems
MCMC methods for functions: modifying old algorithms to make them faster
Bayesian non-linear statistical inverse problems