Stochastic gradient descent in continuous time for drift identification in multiscale diffusions
DOI10.1051/m2an/2024079MaRDI QIDQ6667317
Publication date: 20 January 2025
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
parameter estimationhomogenizationstochastic gradient descentmultiscale diffusionsfiltered dataLangevin stochastic differential equations
Asymptotic properties of parametric estimators (62F12) Inference from stochastic processes and prediction (62M20) Markov processes: estimation; hidden Markov models (62M05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Langevin diffusions on the torus: estimation and applications
- Adaptive sub-sampling for parametric estimation of Gaussian diffusions
- Mean field limits for interacting diffusions in a two-scale potential
- Statistical inference for perturbed multiscale dynamical systems
- Maximum likelihood drift estimation for multiscale diffusions
- A comparison theorem for solutions of stochastic differential equations and its applications
- Estimating equations based on eigenfunctions for a discretely observed diffusion process
- On Poisson equation and diffusion approximation. II.
- On the Poisson equation and diffusion approximation. III
- On the Poisson equation and diffusion approximation. I
- Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions
- Parameter estimation for multiscale diffusions
- Estimating eddy diffusivities from noisy Lagrangian observations
- Sub-sampling and parametric estimation for multiscale dynamics
- Drift estimation of multiscale diffusions based on filtered data
- Brownian motion in an \(N\)-scale periodic potential
- Some Remarks on Free Energy and Coarse-Graining
- Convergence of Numerical Time-Averaging and Stationary Measures via Poisson Equations
- Frequency Domain Estimation of Integrated Volatility for Itô Processes in the Presence of Market-Microstructure Noise
- Gradient Convergence in Gradient methods with Errors
- Stochastic Gradient Descent in Continuous Time
- Discrete-Time Statistical Inference for Multiscale Diffusions
- Statistics and high-frequency data
- Stochastic Gradient Descent in Continuous Time: A Central Limit Theorem
- Semiparametric Drift and Diffusion Estimation for Multiscale Diffusions
- Multiscale Methods
- Partial differential equations and stochastic methods in molecular dynamics
- Liapunov functionals and large-time-asymptotics of mean-field nonlinear Fokker-Planck equations
- Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces
- Robust estimation of effective diffusions from multiscale data
This page was built for publication: Stochastic gradient descent in continuous time for drift identification in multiscale diffusions