Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Ilic, Velimir M."'
Publikováno v:
Phys. Rev. E 100, 062135 (2019)
The class of SPA entropies, which can be represented as an increasing continuous transformation of Shannon and R\'enyi entropies, have intensively been studied in previous decades. Although their mathematical structure has thoroughly been explored an
Externí odkaz:
http://arxiv.org/abs/1905.10533
Autor:
Ilic, Velimir M., Stankovic, Miomir S.
Recently, in [P. Jizba and J. Korbel, Physica A 444, 2016, 808-827], four generalized Shannon-Khinchin [GSK] axioms have been proposed and a generalized entropy which uniquely satisfies the GSK axioms has been derived. In this comment, we show that t
Externí odkaz:
http://arxiv.org/abs/1609.00404
Autor:
Ilic, Velimir M., Stankovic, Miomir S.
We present the characterization of the Nath, R\'enyi and Havrda-Charv\'at-Tsallis entropies under the assumption that they are analytic function with respect to the distribution dimension, unlike the the previous characterizations, which supposes tha
Externí odkaz:
http://arxiv.org/abs/1311.0324
Autor:
Ilic, Velimir M., Stankovic, Miomir S.
We consider the Shannon-Khinchin axiomatic systems for the characterization of generalized entropies such as Sharma-Mital and Frank-Daffertshofer entropy. We provide the generalization of Shannon-Khinchin axioms and give the corresponding uniqueness
Externí odkaz:
http://arxiv.org/abs/1311.0323
Autor:
Ilic, Velimir M., Stankovic, Miomir S.
In this paper we consider the axiomatic characterization of information and certainty measures in a unified way. We present the general axiomatic system which captures the common properties of a large number of the measures previously considered by n
Externí odkaz:
http://arxiv.org/abs/1310.4896
Wada and Suyari proposed a two-parameter generalization of Shannon-Khinchin axioms (TGSK axioms) [T. Wada and H. Suyari, Physics Letters A, 368(3)]. We derive a new class of entropies which differs from Wada-Suyari's class by fixing the incorrectness
Externí odkaz:
http://arxiv.org/abs/1301.6935
Recently, Suyari has proposed a generalization of Shannon-Khinchin axioms, which determines a class of entropies containing the well-known Tsalis and Havrda-Charvat entropies [H. Suyari, IEEE Trans. Inf. Theory, vol. 50, pp. 1783-1787, Aug. 2004]. In
Externí odkaz:
http://arxiv.org/abs/1211.7097
Autor:
Ilic, Velimir M., Stankovic, Miomir S.
Recently, Suyari has defined nonextensive information content measure with unique class of functions which satisfies certain set of axioms. Nonextensive entropy is then defined as the appropriate expectation value of nonextensive information content
Externí odkaz:
http://arxiv.org/abs/1210.7473
We review some existing methods for the computation of first order moments on junction trees using Shafer-Shenoy algorithm. First, we consider the problem of first order moments computation as vertices problem in junction trees. In this way, the prob
Externí odkaz:
http://arxiv.org/abs/1201.3408
Autor:
Ilic, Velimir M.
The paper presents Entropy Semiring Forwardbackward algorithm (ESRFB) and its application for memory efficient computation of the subsequence constrained entropy and state sequence entropy of a Hidden Markov Model (HMM) when an observation sequence i
Externí odkaz:
http://arxiv.org/abs/1108.0347