Backward Nonlinear Smoothing Diffusions
DOI10.1137/S0040585X97T99037XzbMath1470.60220arXiv1910.14511OpenAlexW3159580798MaRDI QIDQ5005710
Pierre Del Moral, C. Palmier, Adrian N. Bishop, Brian D. O. Anderson
Publication date: 10 August 2021
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.14511
diffusion equationsKalman-Bucy filterstochastic semigroupsnonlinear filtering and smoothingRauch-Tung-Striebel smootherbackward stochastic integrationbackward Itô-Ventzell formulaparticle filtering and smoothingtime-reversed stochastic differential equationsZakai and Kushner-Stratonovich equations
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60)
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Cites Work
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- Multivariable feedback particle filter
- Adapted solution of a backward stochastic differential equation
- A simple proof for the Kalman-Bucy smoothed estimate formula
- Fundamentals of stochastic filtering
- Time reversal of diffusions
- A two-sided stochastic integral and its calculus
- Régularité des lois conditionnelles en théorie du filtrage non-linéaire et calcul des variations stochastique
- Reverse-time diffusion equation models
- Integration by parts and time reversal for diffusion processes
- Hypoelliptic non-homogeneous diffusions
- Hypoelliptic second order differential equations
- A survey of data smoothing for linear and nonlinear dynamic systems
- Smoothing algorithms for nonlinear finite-dimensional systems
- On backward stochastic differential equations
- Some Results of Backward Itô Formula
- Stochastic partial differential equations and filtering of diffusion processes
- Équations du filtrage non linéaire de la prédiction et du lissage
- ON THE CAUCHY PROBLEM FOR LINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
- ON CONDITIONAL DISTRIBUTIONS OF DIFFUSION PROCESSES
- Some remarks about backward itô formula and applications
- On the Stability of Kalman--Bucy Diffusion Processes
- A variational approach to nonlinear and interacting diffusions
- On the Differential Equations Satisfied by Conditional Probablitity Densities of Markov Processes, with Applications
- Feedback Particle Filter
- The Filtering Equations Revisited
- On the optimal filtering of diffusion processes
- Estimation of Stochastic Systems: Arbitrary System Process with Additive White Noise Observation Errors
- Nonlinear Smoothing Theory
- Stochastic Differential Equations Occurring in the Estimation of Continuous Parameter Stochastic Processes
- Fixed interval smoothing for nonlinear continuous time systems
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