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Optimal filtering and the dual process
auxiliary variables Bayesian conjugacy Dirichlet process finite mixture models Cox-Ingersoll-Ross process hidden Markov model,Kalman filters
2013/6/14
We link optimal filtering for hidden Markov models to the notion of duality for Markov processes. We show that when the signal is dual to a process that has two components, one deterministic and one a...
We consider the problem of detecting the periodic part of a function given the observations of some input/output tuples (xi,yi). As they are known for being powerful tools for dealing with such data, ...
A Diffusion Process on Riemannian Manifold for Visual Tracking
racking Particle filtering Template update Generative Template Model Riemannian manifolds log-transformed space.
2013/5/2
Robust visual tracking for long video sequences is a research area that has many important applications. The main challenges include how the target image can be modeled and how this model can be updat...
A dependent partition-valued process for multitask clustering and time evolving network modelling
A dependent partition-valued process multitask clustering time evolving network modelling
2013/4/27
The fundamental aim of clustering algorithms is to partition data points. We consider tasks where the discovered partition is allowed to vary with some covariate such as space or time. One approach wo...
Local Gaussian process approximation for large computer experiments
sequential design sequential updating active learning surrogate model emulator compactly supported covariance local kriging neighborhoods
2013/4/27
We provide a new approach to approximate emulation of large computer experiments. By focusing expressly on desirable properties of the predictive equations, we derive a family of local sequential desi...
Space-time current process for independent random walks in one dimension
Independent random walks hydrodynamic limit fluctuations large deviation
2009/6/12
In a system made up of independent random walks fluctuations of order
1/4 n from the hydrodynamic limit come from particle current across characteristics.
We show that a two-parameter space-time par...
Distribution of a random functional of a Ferguson-Dirichlet process over the unit sphere
Kuo multivariate c-characteristic function Ferguson-Dirichlet process
2009/3/20
Jiang, Dickey, and Kuo [12] gave the multivariate c-characteristic function and showed that it has properties similar to those of the multivariate Fourier transformation. We first give the multivariat...
On the parabolic generator of a general one-dimensional Lévy process
parabolic generator dimensional Lévy processes necessary condition
2009/3/19
The purpose of this note is twofold. Firstly to complete a recent accumulation of results concerning extended version of Ito's formula for any one dimensional Lévy processes, $X$. Secondly, we use the...