The construction of efficient and effective decision trees remains a key topic in machine learning because of their simplicity and flexibility. A lot of heuristic algorithms have been proposed to construct nearoptimal decision trees. Most of them, however, are greedy algorithms that have the drawback of obtaining only local optimums. Besides, conventional split criteria they used, e.g. Shannon ...

Uses the algebraic approach in the queuing theory to derive the M/G/1 equilibrium solution for the number of jobs in the system when the probability distribution function representing the general distribution is the generalized exponential (GE-type). Similarly the GE/M/1 system is solved. Furthermore, it has been shown that as expected the solutions are equivalent to the maximum entropy solutio...

Very low-birth-weight premature infants often suffer from a variety of respiratory problems, including respiratory distress syndrome (RDS), hypopnea and periodic breathing, and apnea. These conditions are likely related to immaturity of the respiratory centers; yet how respiratory rhythms originating from these centers, including their complexity, relate to demographic measures of prematurity r...

Van Dorp and Kotz (2003) introduced a general class of two-sided power distribution. We provide several examples of this distribution by considering a non negative, non decreasing differentiable function g on 0 1 satisfying g 1 − g 0 = 1. For the considered distributions the maximum likelihood estimation and moment estimation of parameters are obtained. Moments, moment generating functions, and...

We study nearest-neighbor shifts of finite type (NNSOFT) on a free group G. We determine when a NNSOFT on G admits a periodic coloring and give an example of a NNSOFT that does not allow a periodic coloring. Then, we find an expression for the entropy of the golden mean shift on G. In doing so, we study a new generalization of Fibonacci numbers and analyze their asymptotics with a one-dimension...

In this paper, we obtain the Rényi entropy rate for irreducible-aperiodic Markov chains with countable state space, using the theory of countable nonnegative matrices. We also obtain the bound for the rate of Rényi entropy of an irreducible Markov chain. Finally, we show that the bound for the Rényi entropy rate is the Shannon entropy rate.

introduction the chemical characteristic of groundwater as a major source of water supply for human life is an important factor in determining the usage of it for agriculture, industry and drinking. useful techniques and different methods of studying the chemical composition of groundwater such as correlation coefficient, descriptive statistics, factor analysis and cluster analysis provide an u...

Microcanonical equilibrium macrostates are characterized as the solutions of a constrained minimization problem, while canonical equilibrium macrostates are characterized as the solutions of a related, unconstrained minimization problem. In the paper [19] by Ellis, Haven, and Turkington, the problem of ensemble equivalence was completely solved at two separate, but related levels: the level of ...

Applying the first and generalised second laws of thermodynamics for a realistic process of near critical black hole formation, we derive an entropy bound, which is identical to Bekenstein’s one for radiation. Relying upon this bound, we derive an absolute minimum mass ∼ 0.04 √ g∗mPl, where g∗ and mPl is the effective degrees of freedom for the initial temparature and the Planck mass, respectiv...

Given ergodic p-invariant measures f i g on the 1-torus T = R=Z, we give a sharp condition on their entropies, guaranteeing that the entropy of the convolution 1 n converges to log p. We also prove a variant of this result for joinings of full entropy on T N. In conjunction with a method of Host, this yields the following. Denote q (x) = qx (mod 1). Then for every p-invariant ergodic with posit...