Joint Online Parameter Estimation and Optimal Sensor Placement for the Partially Observed Stochastic Advection-Diffusion Equation
DOI10.1137/20M1375073zbMath1484.35423arXiv2009.08693OpenAlexW3087503551MaRDI QIDQ5862897
Nikolas Kantas, Louis Sharrock
Publication date: 10 March 2022
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.08693
stochastic filteringonline parameter estimationoptimal sensor placementstochastic advection-diffusion equationtwo-timescale stochastic gradient descent
Inference from stochastic processes and prediction (62M20) Computational methods for problems pertaining to probability theory (60-08) Reaction-diffusion equations (35K57) Signal detection and filtering (aspects of stochastic processes) (60G35) Identification in stochastic control theory (93E12) Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
- Particle approximations of the score and observed information matrix in state space models with application to parameter estimation
- On particle methods for parameter estimation in state-space models
- A statistical modeling approach for air quality data based on physical dispersion processes and its application to ozone modeling
- Optimal sensor networks scheduling in identification of distributed parameter systems
- Sensors and controllers location in distributed systems - A survey
- Stochastic partial differential equations in groundwater hydrology. II: Application to Borden aquifer
- Representation and control of infinite dimensional systems
- Fundamentals of stochastic filtering
- Statistical inference for stochastic parabolic equations: a spectral approach
- Semigroups of linear operators and applications to partial differential equations
- Parameter identification for hyperbolic stochastic systems
- Infinite dimensional linear systems theory
- Stochastic partial differential equations in groundwater hydrology. I: Theory
- Interpolation of spatial data. Some theory for kriging
- Recursive identification in continuous-time stochastic processes
- Maximum likelihood estimate for discontinuous parameter in stochastic hyperbolic systems
- Stochastic approximation with two time scales
- A stochastic advection-diffusion model for the Rocky Flats soil plutonium data
- Statistical inference for SPDEs: an overview
- On the Poisson equation and diffusion approximation. III
- Estimation techniques for distributed parameter systems
- Partially observable linear systems under dependent noises
- Parameter estimation in general state-space models using particle methods
- An introduction to stochastic Navier-Stokes equations
- Inference in hidden Markov models.
- On the determination of optimal costly measurement strategies for linear stochastic systems
- Stochastic differential systems. I: Filtering and control. A function space approach
- Convergence of Galerkin approximations for operator Riccati equations - a nonlinear evolution equation approach
- Sequential Monte Carlo Methods in Practice
- Optimal Control and Observation Locations for Time-Varying Systems on a Finite-Time Horizon
- Solutions and Approximations to the Riccati Integral Equation with Values in a Space of Compact Operators
- Approximation of the Algebraic Riccati Equation in the Hilbert Space of Hilbert–Schmidt Operators
- Large-Scale Machine Learning with Stochastic Gradient Descent
- Parameter identification in infinte dimensional linear systems
- The Linear Regulator Problem for Parabolic Systems
- Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation
- Optimal Measurement Methods for Distributed Parameter System Identification
- On minimum-contrast estimation for hilbert space-valued stochastic differential equations
- Galerkin Approximation for Optimal Linear Filtering of Infinite-Dimensional Linear Systems
- Identification of an Infinite-Dimensional Parameter for Stochastic Diffusion Equations
- Regularized Maximum Likelihood Estimate for an Infinite-Dimensional Parameter in Stochastic Parabolic Systems
- Optimum measurements for estimation
- A Survey of Infinite-Dimensional Filtering
- Optimal location of process measurements
- Optimal sensor location problem for a linear distributed parameter system
- Optimal location of measurements for distributed parameter estimation
- Optimal sensor selection in sequential estimation problems
- Distributed parameter system indentification A survey†
- Maximum likelihood estimation in linear infinite dimensional models
- On-Line Parameter Estimation for Infinite-Dimensional Dynamical Systems
- Recursive algorithms for estimation of hidden Markov models and autoregressive models with Markov regime
- Sensor Choice for Minimum Error Variance Estimation
- Optimal Sensor Placement: A Robust Approach
- Stochastic Gradient Descent in Continuous Time
- Recursive Maximum Likelihood Algorithm for Dependent Observations
- Asymptotic Properties of Recursive Particle Maximum Likelihood Estimation
- Score-Based Parameter Estimation for a Class of Continuous-Time State Space Models
- Stochastic Equations in Infinite Dimensions
- Estimation of Spatially Distributed Processes Using Mobile Spatially Distributed Sensor Network
- Online Maximum-Likelihood Estimation of the Parameters of Partially Observed Diffusion Processes
- Statistics for Spatial Data
- The Infinite-Dimensional Optimal Filtering Problem with Mobile and Stationary Sensor Networks
- Analyticity, Convergence, and Convergence Rate of Recursive Maximum-Likelihood Estimation in Hidden Markov Models
- Ordinary Differential Equations with Applications
- Linear-Quadratic Optimal Actuator Location
- Stochastic Partial Differential Equation Based Modelling of Large Space–Time Data Sets
- Infinite-dimensional filtering: The Kalman\3-Bucy filter in Hilbert space
- Observability and optimal measurement location in linear distributed parameter systems†
- Particle Filtering for Stochastic Navier--Stokes Signal Observed with Linear Additive Noise
- ON STATIONARY PROCESSES IN THE PLANE
- Dynamics of evolutionary equations
This page was built for publication: Joint Online Parameter Estimation and Optimal Sensor Placement for the Partially Observed Stochastic Advection-Diffusion Equation