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An algebraic approach to Pólya processes

Nicolas Pouyanne (2008)

Annales de l'I.H.P. Probabilités et statistiques

Pólya processes are natural generalizations of Pólya–Eggenberger urn models. This article presents a new approach of their asymptotic behaviour via moments, based on the spectral decomposition of a suitable finite difference transition operator on polynomial functions. Especially, it provides new results for large processes (a Pólya process is called small when 1 is a simple eigenvalue of its replacement matrix and when any other eigenvalue has a real part ≤1/2; otherwise, it is called large).

An approach based on the use of the ant system to design combinational logic circuits.

Benito Mendoza García, Carlos A. Coello Coello (2002)

Mathware and Soft Computing

In this paper we report the first attempt to design combinational logic circuits using the ant system. In order to design circuits, a measure of quality improvement in partially built circuits is introduced and a cost metric (based on the number of gates) is adopted in order to optimize the feasible circuits generated. The approach is compared to a genetic algorithm and to a human designer using several examples and the sensitivity of the algorithm to its parameters is studied using analysis of...

An effective global path planning algorithm with teaching-learning-based optimization

Emad Hazrati Nejad, Sevgi Yigit-Sert, Sahin Emrah Amrahov (2024)

Kybernetika

Due to the widespread use of mobile robots in various applications, the path planning problem has emerged as one of the important research topics. Path planning is defined as finding the shortest path starting from the initial point to the destination in such a way as to get rid of the obstacles it encounters. In this study, we propose a path planning algorithm based on a teaching-learning-based optimization (TLBO) algorithm with Bezier curves in a static environment with obstacles. The proposed...

An improved derandomized approximation algorithm for the max-controlled set problem

Carlos Martinhon, Fábio Protti (2011)

RAIRO - Theoretical Informatics and Applications

A vertex i of a graph G = (V,E) is said to be controlled by M V if the majority of the elements of the neighborhood of i (including itself) belong to M. The set M is a monopoly in G if every vertex i V is controlled by M. Given a set M V and two graphs G1 = ( V , E 1 ) and G2 = ( V , E 2 ) where E 1 E 2 , the monopoly verification problem (mvp) consists of deciding whether there exists a sandwich graph G = (V,E) (i.e., a graph where E 1 E E 2 ) such that M is a monopoly in G = (V,E). If the answer to the mvp is No, we then consider...

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