Maintenance of Equivalence Classes and Transfer of Functions: The Role of the Nature of Stimuli

2015 ◽  
Vol 66 (1) ◽  
pp. 65-74 ◽  
Author(s):  
Marcelo Vitor Silveira ◽  
Natalia Maria Aggio ◽  
Mariéle Diniz Cortez ◽  
Renato Bortoloti ◽  
Viviane Verdu Rico ◽  
...  
Keyword(s):  
Equivalence Classes ◽  
Transfer Of Functions

scholarly journals Effective metrics for multi-robot motion-planning

2018 ◽  
Vol 37 (13-14) ◽  
pp. 1741-1759 ◽  
Author(s):  
Aviel Atias ◽  
Kiril Solovey ◽  
Oren Salzman ◽  
Dan Halperin
Keyword(s):  
Motion Planning ◽  
Success Rate ◽  
Shape Matching ◽  
Equivalence Classes ◽  
Robot Motion ◽  
Robot Motion Planning ◽  
The Novel ◽  
Multi Robot

We study the effectiveness of metrics for multi-robot motion-planning (MRMP) when using rapidly-exploring random tree (RRT)-style sampling-based planners. These metrics play the crucial role of determining the nearest neighbors of configurations and in that they regulate the connectivity of the underlying roadmaps produced by the planners and other properties such as the quality of solution paths. After screening over a dozen different metrics we focus on the five most promising ones: two more traditional metrics, and three novel ones, which we propose here, adapted from the domain of shape-matching. In addition to the novel multi-robot metrics, a central contribution of this work are tools to analyze and predict the effectiveness of metrics in the MRMP context. We identify a suite of possible substructures in the configuration space, for which it is fairly easy: (i) to define a so-called natural distance that allows us to predict the performance of a metric, which is done by comparing the distribution of its values for sampled pairs of configurations to the distribution induced by the natural distance; and (ii) to define equivalence classes of configurations and test how well a metric covers the different classes. We provide experiments that attest to the ability of our tools to predict the effectiveness of metrics: those metrics that qualify in the analysis yield higher success rate of the planner with fewer vertices in the roadmap. We also show how combining several metrics together may lead to better results (success rate and size of roadmap) than using a single metric.

Changing Racial Bias by Transfer of Functions in Equivalence Classes

2016 ◽  
Vol 66 (3) ◽  
pp. 451-462 ◽  
Author(s):  
Táhcita M. Mizael ◽  
João H. de Almeida ◽  
Carolina C. Silveira ◽  
Julio C. de Rose
Keyword(s):  
Racial Bias ◽  
Equivalence Classes ◽  
Transfer Of Functions

scholarly journals Deforming geometric transitions

2015 ◽  
Vol 12 (05) ◽  
pp. 1550059 ◽  
Author(s):  
Michele Rossi
Keyword(s):  
Moduli Space ◽  
Equivalence Classes ◽  
Complex Moduli ◽  
Geometric Transitions

After a quick review of the wild structure of the complex moduli space of Calabi-Yau 3-folds and the role of geometric transitions in this context (the Calabi-Yau web) the concept of deformation equivalence for geometric transitions is introduced to understand the arrows of the Gross–Reid Calabi-Yau web as deformation-equivalence classes of geometric transitions. Then the focus will be on some results and suitable examples to understand under which conditions it is possible to get simple geometric transitions, which are almost the only well-understood geometric transitions both in mathematics and in physics.

Self-Organized Modularization in Evolutionary Algorithms

2005 ◽  
Vol 13 (3) ◽  
pp. 303-328 ◽  
Author(s):  
Peter Dauscher ◽  
Thomas Uthmann
Keyword(s):  
Evolutionary Computation ◽  
Building Blocks ◽  
Search Space ◽  
Equivalence Classes ◽  
Self Organized ◽  
Wide Range ◽  
Simple Genetic Algorithms ◽  
Evolutionary Operators ◽  
Selection Factor

The principle of modularization has proven to be extremely successful in the field of technical applications and particularly for Software Engineering purposes. The question to be answered within the present article is whether mechanisms can also be identified within the framework of Evolutionary Computation that cause a modularization of solutions. We will concentrate on processes, where modularization results only from the typical evolutionary operators, i.e. selection and variation by recombination and mutation (and not, e.g., from special modularization operators). This is what we call Self-Organized Modularization. Based on a combination of two formalizations by Radcliffe and Altenberg, some quantitative measures of modularity are introduced. Particularly, we distinguish Built-in Modularityas an inherent property of a genotype and Effective Modularity, which depends on the rest of the population. These measures can easily be applied to a wide range of present Evolutionary Computation models. It will be shown, both theoretically and by simulation, that under certain conditions, Effective Modularity (as defined within this paper) can be a selection factor. This causes Self-Organized Modularization to take place. The experimental observations emphasize the importance of Effective Modularityin comparison with Built-in Modularity. Although the experimental results have been obtained using a minimalist toy model, they can lead to a number of consequences for existing models as well as for future approaches. Furthermore, the results suggest a complex self-amplification of highly modular equivalence classes in the case of respected relations. Since the well-known Holland schemata are just the equivalence classes of respected relations in most Simple Genetic Algorithms, this observation emphasizes the role of schemata as Building Blocks (in comparison with arbitrary subsets of the search space).

scholarly journals Relations between ageing and dependence for exchangeable lifetimes with an extension for the IFRA/DFRA property

2020 ◽  
Vol 8 (1) ◽  
pp. 1-33
Author(s):  
Giovanna Nappo ◽  
Fabio Spizzichino
Keyword(s):  
Equivalence Classes ◽  
Stochastic Dependence ◽  
The Past ◽  
Dependence Concepts ◽  
Kendall Distribution ◽  
Mutual Relations ◽  
Bivariate Ageing ◽  
Dependence Properties ◽  
Ageing Notions

AbstractWe first review an approach that had been developed in the past years to introduce concepts of “bivariate ageing” for exchangeable lifetimes and to analyze mutual relations among stochastic dependence, univariate ageing, and bivariate ageing.A specific feature of such an approach dwells on the concept of semi-copula and in the extension, from copulas to semi-copulas, of properties of stochastic dependence. In this perspective, we aim to discuss some intricate aspects of conceptual character and to provide the readers with pertinent remarks from a Bayesian Statistics standpoint. In particular we will discuss the role of extensions of dependence properties. “Archimedean” models have an important role in the present framework.In the second part of the paper, the definitions of Kendall distribution and of Kendall equivalence classes will be extended to semi-copulas and related properties will be analyzed. On such a basis, we will consider the notion of “Pseudo-Archimedean” models and extend to them the analysis of the relations between the ageing notions of IFRA/DFRA-type and the dependence concepts of PKD/NKD.

scholarly journals The Role of the Notary/PPAT in Process Transfer of Land Functions From Agricultural Land Into Non-Agricultural Land in Demak District Land Office

Jurnal Akta ◽  
2019 ◽  
Vol 6 (2) ◽  
pp. 227
Author(s):  
Budi Santosa ◽  
Gunarto Gunarto
Keyword(s):  
Land Use ◽  
Transfer Function ◽  
Agricultural Land ◽  
Land Use Changes ◽  
Land Transfer ◽  
Transfer Of Functions ◽  
Process Transfer ◽  
Collection Methods ◽  
Spatial Plan

The purpose of this study is as follows: 1) To determine the role of the Notary PPAT in the process of the transfer function of soil from agricultural to non-agricultural land in the District Land Office Demak.2) To know the obstacles in the process of soil functions from agriculture to non-agricultural land in the Land Office District Demak.3) .To find out a solution to the obstacles in the process of the transfer function of soil from agricultural to non-agricultural land in Demak District land Office.Methods using sociological juridical approach, Research Specs, Types and Sources of Data, Data Collection Methods, Technical Analysis.Based on the results of the study concluded that the procedure of land transfer function of agriculture to non-agricultural land in the National Land Office Demak, do the applicant by way of location permits, licenses and land use permits land use changes. Factors to be an obstacle in the procedure of the transfer function of the land from agricultural land to non-agricultural in the Office of the National Land Demak and how to overcome among others: the permissions that are not in accordance with the plan of spatial Demak, settlement efforts in addressing licensing should be transparent and in accordance with the regional spatial plan Demak. Suggestions Should the Office of the National Land Demak apply policy rules corresponding spatial Demak district in order to avoid the equalizing impact of underdevelopment in the region of Demak, therefore the application mechanism location permits, permit the use of land and permission changes in land use were tightened in order transition of agricultural land into non-agricultural destructive to the environment of Demak.Keywords: Notary / PPAT, Transfer of Functions Land, Agricultural Land to Non-Agricultural.

scholarly journals THE ROLE OF INSTRUCTIONS IN THE TRANSFER OF ORDINAL FUNCTIONS THROUGH EQUIVALENCE CLASSES

1991 ◽  
Vol 55 (3) ◽  
pp. 287-304 ◽  
Author(s):  
Gina Green ◽  
Z. Gabriela Sigurdardottir ◽  
Richard R. Saunders
Keyword(s):  
Equivalence Classes

scholarly journals Symmetries in Generalized Kaprekar’s Routine

Symmetry ◽  
2021 ◽  
Vol 14 (1) ◽  
pp. 37
Author(s):  
Fernando Nuez
Keyword(s):  
Group Structure ◽  
Higher Order ◽  
Equivalence Classes ◽  
Equivalence Relations ◽  
Klein Group ◽  
Parametric Transformation

In this paper, algebraic relations were established that determined the invariance of a transformed number after several transformations. The restrictions that determine the group structure of these relationships were analyzed, as was the case of the Klein group. Parametric Kr functions associated with the existence of cycles were presented, as well as the role of the number of their links in the grouping of numbers in higher-order equivalence classes. For this, we developed a methodology based on binary equivalence relations and the complete parameterization of the Kaprekar routine using Ki functions of parametric transformation.

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