Abstract
This paper proposes a one-step unscented particle filter for accurate nonlinear estimation. Its design involves the elaboration of a reliable one-step unscented filter that draws state samples deterministically for doing both the time and measurement updates, without linearization of the observation model. Empirical investigations show that the one-step unscented particle filter compares favourably to relevant filters on nonlinear dynamic systems modelling.
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Andrieu, C., de Freiras, J.F.G., Doucet, A.: Sequantial MCMC for Bayesian Model Selection. In: Proc. IEEE Higher Order Statistics Workshop, pp. 130–134. IEEE Computer Society Press, Los Alamitos (1999)
Bolviken, E., Storvik, G.: Deterministic and Stochastic Particle Filters. In: Doucet, A., et al. Sequantial Monte Carlo Methods in Practice, pp. 97–116 (2001)
de Freitas, J.F.G., Niranjan, M., Gee, A.H., Doucet, A.: Sequantial Monte Carlo Methods to Train Neural Networks. Neural Computation 12, 955–993 (2000)
Doucet, A., de Freitas, N., Gordon, N.: Sequantial Monte Carlo Methods in Practice. Springer, New York (2001)
Gordon, N.J., Salmond, D.G., Smith, A.F.M.: A Novel Approach to Nonlinear/non-Gaussian Bayesian State Estimation. Proceedings IEE-F Radar, Sonar and Navigation 140, 107–113 (1993)
Hull, J., White, A.: The Pricing of Options on Assets with Stochastic Volatilities. The Journal of Finance 42, 281–300 (1987)
Julier, S.J., Uhlmann, J.K.: A New Extension of the Kalman Filter to Nonlinear Systems. In: Proc. SPIE Int. Soc. Opt. Eng., Orlando, FL, vol. 3068, pp. 182–193 (1997)
Julier, S.J.: The Scaled Unscented Transformation. In: Proc. American Control Conf., vol. 6, pp. 4555–4559 (2002)
Kitagawa, G.: Monte Carlo Filter and Smoother for Non-Gaussian Nonlinear State Space Models. J. Computational and Graphical Stat. 5, 1–25 (1996)
Norgaard, M., Poulsen, N.K., Ravn, O.: New Developments in State Estimation for Nonlinear Systems. Automatica 36, 1627–1638 (2000)
Pitt, M.K., Shephard, N.: Filtering via Simulation: Auxiliary Particle Filters. J. American Stat. Assoc. 94, 590–599 (1999)
van der Merwe, R., Doucet, A., de Freitas, N., Wan, E.: The Unscented Particle Filter. In: Leen, T.K., Dietterich, T.G., Tresp, V. (eds.) Advances in Neural Inf. Processing Systems (NIPS13), pp. 584–590 (2001)
van der Merwe, R.: Sigma-point Kalman Filters and Probabilistic Inference in Dynamic State-Space Models. PhD Thesis, OGI School of Science and Engineering, Oregon Health and Science University (2004)
Zoeter, O., Ypma, A., Heskes, T.: Improved Unscented Kalman Smoothing for Stock Volatility Estimation. In: Barros, A., Principe, J., Larsen, J., Adali, T., Douglas, S. (eds.) Machine Learning for Signal Processing. Proc. of the 14th IEEE Signal Processing Society Workshop, pp. 143–152. IEEE Press, NJ (2004)
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Nikolaev, N.Y., Smirnov, E. (2007). A One-Step Unscented Particle Filter for Nonlinear Dynamical Systems. In: de Sá, J.M., Alexandre, L.A., Duch, W., Mandic, D. (eds) Artificial Neural Networks – ICANN 2007. ICANN 2007. Lecture Notes in Computer Science, vol 4668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74690-4_76
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DOI: https://doi.org/10.1007/978-3-540-74690-4_76
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