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The control process that minimizes the quadratic performance functional associated with a quantum system whose evolution is described by a Hudson-Parthasarathy type stochastic differential equation...
This article considers the application of particle ltering to continuous- discrete optimal ltering problems, where the system model is a stochastic dier- ential equation, and noisy measurements of t...
In this paper, we prove, using Malliavin calculus, that under a global Hormander condition the law of a Riemannian manifold valued stochastic process, a solution of a stochastic differential equati...
When is a nonlinear filter stable with respect to its initial condition? In spite of the recent progress, this question still lacks a complete answer in general. Currently available results indicate t...
A compound Poisson process is considered. We estimate the current position of the stochastic process based on past discrete-time observations (non-linear discrete filtering problem) in Bayesian settin...
The paper studies the asymptotic behavior of Random Algebraic Riccati Equations (RARE) arising in Kalman filtering when the arrival of the observations is described by a Bernoulli i.i.d. process. We ...
In this paper, the filtering problem is revisited in the basic Gaussian homogeneous linear system driven by fractional Brownian motions. We exhibit a simple approximate filter which is asymptotically ...
Inference for partially observed Markov process models has been a longstanding methodological challenge with many scientific and engineering applications. Iterated filtering algorithms maximize the ...
The “curse of dimensionality” has remained a challenge for highdimensional data analysis in statistics. The sliced inverse regression (SIR) and canonical correlation (CANCOR) methods aim to reduce ...
This article considers the application of particle filtering to continuousdiscrete optimal filtering problems, where the system model is a stochastic differential equation, and noisy measurements of...
This paper deals with the filtering problem for a class of discrete time stochastic volatility models in which the disturbances have rational probability density functions. This includes the Cauchy ...

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