Zobrazeno 1 - 10
of 117
pro vyhledávání: '"Suyari, Hiroki"'
Publikováno v:
Scientific Reports 13, 2354, 2023
To ensure the safety of railroad operations, it is important to monitor and forecast track geometry irregularities. A higher safety requires forecasting with higher spatiotemporal frequencies, which in turn requires capturing spatial correlations. Ad
Externí odkaz:
http://arxiv.org/abs/2211.03549
Publikováno v:
Eur. Phys. J. Special Topics, vol.229, pp.773--785 (2020)
Addition and subtraction of observed values can be computed under the obvious and implicit assumption that the scale unit of measurement should be the same for all arguments, which is valid even for any nonlinear systems. This paper starts with the d
Externí odkaz:
http://arxiv.org/abs/1909.07337
Akademický článek
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The generalized binomial distribution in Tsallis statistics (power-law system) is explicitly formulated from the precise $q$-Stirling's formula. The $\alpha $-divergence (or $q$-divergence) is uniquely derived from the generalized binomial distributi
Externí odkaz:
http://arxiv.org/abs/1405.2562
Autor:
Naudts, Jan, Suyari, Hiroki
We study large deviation properties of probability distributions with either a compact support or a fat tail by comparing them with q-deformed exponential distributions. Our main result is a large deviation property for probability distributions with
Externí odkaz:
http://arxiv.org/abs/1404.3410
Autor:
Suyari, Hiroki, Wada, Tatsuaki
We derive the multiplicative duality "q<->1/q" and other typical mathematical structures as the special cases of the (mu,nu,q)-relation behind Tsallis statistics by means of the (mu,nu)-multinomial coefficient. Recently the additive duality "q<->2-q"
Externí odkaz:
http://arxiv.org/abs/cond-mat/0702103
Autor:
Wada, Tatsuaki, Suyari, Hiroki
Based on the one-parameter generalization of Shannon-Khinchin (SK) axioms presented by one of the authors, and utilizing a tree-graphical representation, we have further developed the SK Axioms in accordance with the two-parameter entropy introduced
Externí odkaz:
http://arxiv.org/abs/cond-mat/0608139
Autor:
Suyari, Hiroki, Wada, Tatsuaki
We derive a scaling property from a fundamental nonlinear differential equation whose solution is the so-called q-exponential function. A scaling property has been believed to be given by a power function only, but actually more general expression fo
Externí odkaz:
http://arxiv.org/abs/cond-mat/0608007
Autor:
Suyari, Hiroki
The maximum entropy principle in Tsallis statistics is reformulated in the mathematical framework of the q-product, which results in the unique non self-referential q-canonical distribution. As one of the applications of the present formalism, we the
Externí odkaz:
http://arxiv.org/abs/cond-mat/0502298
Autor:
Suyari, Hiroki
We present the conclusive mathematical structure behind Tsallis statistics. We obtain mainly the following five theoretical results: (i) the one-to-one correspondence between the q-multinomial coefficient and Tsallis entropy, (ii) symmetry behind Tsa
Externí odkaz:
http://arxiv.org/abs/cond-mat/0401546