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Confidence Sets in Time--Series Filtering
Confidence Sets Time--Series Filtering
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2011/1/21
The problem of filtering of finite–alphabet stationary ergodic time series is considered. A method for constructing a confidence set for the (unknown) signal is proposed.
Visual evoked potentials' non linear adaptive filtering based on three layers perceptron
Adaptive filtering Averaging technique Multilayer Perceptron
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2010/11/1
Single visual evoked potentials (VEP) are very weak and noisy signals. For this reason, powerful extraction tools are needed to improve their clinical use. In this paper, we present two methods for fi...
Confidence Sets in Time--Series Filtering
Confidence Sets Time--Series Filtering
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2011/1/4
The problem of filtering of finite--alphabet stationary ergodic time series is considered. A method for constructing a confidence set for the (unknown) signal is proposed, such that the resulting set ...
On the Stability and the Approximation of Branching Distribution Flows, with Applications to Nonlinear Multiple Target Filtering
Measure-valued equations nonlinear multi-target filtering Bernoulli filter
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2010/12/3
We analyse the exponential stability properties of a class of measure-valued equations arising in nonlinear multi-target filtering problems. We also prove the uniform convergence properties w.r.t. the...
Filtering of continuous-time Markov chains with noise-free observation and applications
Filtering of continuous-time Markov chains noise-free observation applications
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2010/11/30
Let X be a continuous-time Markov chain in a finite set I, let h be a mapping of I onto another set, and let Y be defined by Yt = h(Xt), (t ≥ 0). We address the filtering problem
for X in terms of th...
A nasty filtering problem
nonlinear filtering unique ergodicity tail -field exchange of intersection and supremum
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2010/11/29
We construct a stationary Markov process with trivial tail -field and a nondegenerate observation process such that the corresponding nonlinear filtering process is not uniquely ergodic. This settles...