Computational aspects of sequential Monte Carlo filter and smoother |
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Authors: | Genshiro Kitagawa |
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Institution: | 1. Transdisciplinary Research Integration Center, Research Organization of Information and Systems, Hulic Kamiyacho Building 2F, 4-3-13 Toranomon, Minato-ku, Tokyo, 105-0001, Japan
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Abstract: | Progress in information technologies has enabled to apply computer-intensive methods to statistical analysis. In time series modeling, sequential Monte Carlo method was developed for general nonlinear non-Gaussian state-space models and it enables to consider very complex nonlinear non-Gaussian models for real-world problems. In this paper, we consider several computational problems associated with sequential Monte Carlo filter and smoother, such as the use of a huge number of particles, two-filter formula for smoothing, and parallel computation. The posterior mean smoother and the Gaussian-sum smoother are also considered. |
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