Efficient Sequential Monte Carlo Using Interpolation

A limitation common to all sequential Monte Carlo algorithms is the computational demand of accurately describing an arbitrary distribution, which may preclude real-time implementation for some systems. We propose using interpolation to construct a high accuracy approximation to the importance d...

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Bibliographic Details
Main Author: Hover, Franz S.
Format: Article
Language:en_US
Published: 2010
Online Access:http://hdl.handle.net/1721.1/52403
Description
Summary:A limitation common to all sequential Monte Carlo algorithms is the computational demand of accurately describing an arbitrary distribution, which may preclude real-time implementation for some systems. We propose using interpolation to construct a high accuracy approximation to the importance density. The surrogate density can then be efficiently evaluated in place of sampling the true importance density, allowing for the propagation of a large number of particles at reduced cost. Numerical examples are given demonstrating the utility of the approach.