Abstract
A new variant of the method of probability density distribution recovery for solving topical modeling problems is described. Disadvantages of the Gibbs sampling algorithm are considered, and a modified variant, called the “granulated sampling method,” is proposed. Based on the results of statistical modeling, it is shown that the proposed algorithm is characterized by higher stability as compared to other variants of Gibbs sampling.
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A. Caldwell, D. Kollar, and K. Kröninger, Comput. Phys. Commun. 180, 2197 (2009); arXiv:0808.2552.
I. Chernyavsky, T. Alexandrov, P. Maass, and S. Nikolenko, Proceedings of the German Conference on Bioinformatics (September, 2012), pp. 39–48.
Handbook of Markov Chain Monte Carlo, Ed. by S. Brooks, A. Gelman, G. L. Jones, and X.-L. Meng (Chapman & Hall/CRC Press, 2011), pp. 383–399.
B. A. Berg and A. Billoire, Markov Chain Monte Carlo Simulations (John Wiley & Sons, 2008).
S. Geman and D. Geman, IEEE Trans. Pattern Anal. Machine Intell. 6, 721 (1984).
S. Bodrunova, S. Koltsov, O. Koltsova, S. Nikolenko, and A. Shimorina, Proceedings of the 12th Mexican Int. Conf. on Artificial Intelligence (MICAI 2013) (Springer Verlag, Berlin, 2013), Part I, pp. 265–274.
D. Blei, A. Ng, and M. Jordan (Ed. by J. Lafferty), J. Machine Learn. Res. 3, 993 (2003).
T. Griffiths and M. Steyvers, Proc. Natl. Acad. Sci. USA 101 (Suppl. 1), 5228 (2004).
C. Nelson et al., Proceedings of the IEEE Conference on Frequency Control (2012).
K. V. Vorontsov, Dokl. Math. 89 (3), 301 (2014).
A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems (Nauka, Moscow, 1986) [in Russian].
S. Koltsov, O. Koltsova, and S. Nikolenko, Proceedings of the ACM Web Science Conference (WebSci’14, June 23–26, 2014, Bloomington, IN, USA), pp. 161–165.
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Original Russian Text © S.N. Koltcov, S.I. Nikolenko, E.Yu. Koltsova, 2016, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 42, No. 16, pp. 21–25.
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Koltcov, S.N., Nikolenko, S.I. & Koltsova, E.Y. Gibbs sampler optimization for analysis of a granulated medium. Tech. Phys. Lett. 42, 837–839 (2016). https://doi.org/10.1134/S1063785016080241
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DOI: https://doi.org/10.1134/S1063785016080241