Search results for "generalization"

showing 10 items of 250 documents

The Local Fractional Derivative of Fractal Curves

2008

Fractal curves described by iterated function system (IFS) are generally non-integer derivative. For that we use fractional derivative to investigate differentiability of this curves. We propose a method to calculate local fractional derivative of a curve from IFS property. Also we give some examples of IFS representing the slopes of the right and left half-tangent of the fractal curves.

Computer Science::GraphicsIterated function systemFractalFractal derivativeGeneralizations of the derivativeMathematical analysisAstrophysics::Instrumentation and Methods for AstrophysicsDerivativeDifferentiable functionComputational geometryMathematicsFractional calculus2008 IEEE International Conference on Signal Image Technology and Internet Based Systems
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Learning by the Process of Elimination

2002

AbstractElimination of potential hypotheses is a fundamental component of many learning processes. In order to understand the nature of elimination, herein we study the following model of learning recursive functions from examples. On any target function, the learning machine has to eliminate all, save one, possible hypotheses such that the missing one correctly describes the target function. It turns out that this type of learning by the process of elimination (elm-learning, for short) can be stronger, weaker or of the same power as usual Gold style learning.While for usual learning any r.e. class of recursive functions can be learned in all of its numberings, this is no longer true for el…

Computer Science::Machine LearningProcess of eliminationGeneralization0102 computer and information sciences02 engineering and technology01 natural sciencesNumberingComputer Science ApplicationsTheoretical Computer ScienceDecidabilityAlgebraComputational Theory and Mathematics010201 computation theory & mathematicsPhysics::Plasma Physics0202 electrical engineering electronic engineering information engineeringRecursive functions020201 artificial intelligence & image processingEquivalence (formal languages)Information SystemsMathematicsInformation and Computation
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The absolute center of a unicyclic network

1989

Abstract A unicyclic network is one generalization of a tree network. In this paper we examine the problem of finding an absolute center of a unicyclic network. We show that this problem can be solved in linear time with respect to the number of vertices in the network.

Computer Science::RoboticsCombinatoricsMathematics::CombinatoricsAbsolute (philosophy)Computer Science::Discrete MathematicsGeneralizationApplied MathematicsTree networkDiscrete Mathematics and CombinatoricsCenter (algebra and category theory)Time complexityMathematicsDiscrete Applied Mathematics
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Multiscale Granger causality analysis by à trous wavelet transform

2017

Since interactions in neural systems occur across multiple temporal scales, it is likely that information flow will exhibit a multiscale structure, thus requiring a multiscale generalization of classical temporal precedence causality analysis like Granger's approach. However, the computation of multiscale measures of information dynamics is complicated by theoretical and practical issues such as filtering and undersampling: to overcome these problems, we propose a wavelet-based approach for multiscale Granger causality (GC) analysis, which is characterized by the following properties: (i) only the candidate driver variable is wavelet transformed (ii) the decomposition is performed using the…

Computer scienceGeneralization0206 medical engineering02 engineering and technology01 natural sciencesQuantitative Biology - Quantitative MethodsCausality (physics)WaveletGranger causality0103 physical sciencesTime seriesElectrical and Electronic Engineering010306 general physicsInstrumentationbusiness.industryWavelet transformPattern recognitionFilter (signal processing)multiscale analysi020601 biomedical engineeringUndersamplingscalp EEGQuantitative Biology - Neurons and CognitionSettore ING-INF/06 - Bioingegneria Elettronica E InformaticaGranger causalityWavelet transformArtificial intelligencebusiness
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Multi-agent Reinforcement Learning for Simulating Pedestrian Navigation

2012

In this paper we introduce a Multi-agent system that uses Reinforcement Learning (RL) techniques to learn local navigational behaviors to simulate virtual pedestrian groups. The aim of the paper is to study empirically the validity of RL to learn agent-based navigation controllers and their transfer capabilities when they are used in simulation environments with a higher number of agents than in the learned scenario. Two RL algorithms which use Vector Quantization (VQ) as the generalization method for the space state are presented. Both strategies are focused on obtaining a good vector quantizier that generalizes adequately the state space of the agents. We empirically state the convergence…

Computer scienceGeneralizationbusiness.industryVector quantizationContext (language use)Machine learningcomputer.software_genreDomain (software engineering)Convergence (routing)State spaceReinforcement learningArtificial intelligenceTransfer of learningbusinesscomputer
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Improving estimation of distribution genetic programming with novelty initialization

2021

Estimation of distribution genetic programming (EDA-GP) replaces the standard variation operations of genetic programming (GP) by learning and sampling from a probabilistic model. Unfortunately, many EDA-GP approaches suffer from a rapidly decreasing population diversity which often leads to premature convergence. However, novelty search, an approach that searches for novel solutions to cover sparse areas of the search space, can be used for generating diverse initial populations. In this work, we propose novelty initialization and test this new method on a generalization of the royal tree problem and compare its performance to ramped half-and-half (RHH) using a recent EDA-GP approach. We f…

Computer sciencebusiness.industryGeneralizationNoveltyInitializationStatistical modelGenetic programmingVariation (game tree)Machine learningcomputer.software_genreTree (data structure)Artificial intelligencebusinesscomputerPremature convergenceProceedings of the Genetic and Evolutionary Computation Conference Companion
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La enseñanza basada en preguntas : La ley de Ampère y el término de Maxwell

2020

Frecuentemente a los maestros de Física y de Matemáticas se les recomienda una enseñanza activa de estas áreas del conocimiento, que consiste en una interacción continua entre el maestro y el estudiante. Con una metáfora de un interrogatorio adecuado, se pretende mostrar al docente una manera de orientar al estudiante en su aprendizaje, motivándolo a recuperar conocimientos previos o causándole un conflicto cognitivo que lo lleve a reformular su aprendizaje. Esta manera de proceder didácticamente se ha llamado enseñanza basada en preguntas, cuya primera referencia histórica nos remite a la Grecia antigua. En este trabajo se presenta la enseñanza de la ley de Ampère con la generalización de …

Continuous interactionRecallMetaphormedia_common.quotation_subjectCognitionAncient GreeceGeneralization (learning)Mathematics educationComputingMilieux_COMPUTERSANDEDUCATION:PEDAGOGÍA [UNESCO]AmpereUNESCO::PEDAGOGÍAmedia_commonMathematics
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Representation of Strongly Stationary Stochastic Processes

1993

A generalization of the orthogonality conditions for a stochastic process to represent strongly stationary processes up to a fixed order is presented. The particular case of non-normal delta correlated processes, and the probabilistic characterization of linear systems subjected to strongly stationary stochastic processes are also discussed.

Continuous-time stochastic processMathematical optimizationStochastic processGeneralizationMechanical EngineeringLinear systemStationary sequenceCondensed Matter PhysicsOrthogonalityMechanics of MaterialsLocal timeStatistical physicsGauss–Markov processMathematicsJournal of Applied Mechanics
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Enclosure method for the p-Laplace equation

2014

We study the enclosure method for the p-Calder\'on problem, which is a nonlinear generalization of the inverse conductivity problem due to Calder\'on that involves the p-Laplace equation. The method allows one to reconstruct the convex hull of an inclusion in the nonlinear model by using exponentially growing solutions introduced by Wolff. We justify this method for the penetrable obstacle case, where the inclusion is modelled as a jump in the conductivity. The result is based on a monotonicity inequality and the properties of the Wolff solutions.

Convex hullGeneralization35R30 (Primary) 35J92 (Secondary)EnclosureMathematics::Classical Analysis and ODEsInverseMonotonic function01 natural sciencesTheoretical Computer ScienceMathematics - Analysis of PDEsFOS: Mathematics0101 mathematicsMathematical PhysicsMathematicsLaplace's equationMathematics::Functional AnalysisCalderón problemApplied Mathematics010102 general mathematicsMathematical analysisComputer Science Applications010101 applied mathematicsNonlinear systemSignal ProcessingJumpp-Laplace equationenclosure methodAnalysis of PDEs (math.AP)
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Artificial neural networks for predicting dorsal pressures on the foot surface while walking

2012

In this work, artificial neural networks (ANNs) are proposed to predict the dorsal pressure over the foot surface exerted by the shoe upper while walking. A model that is based on the multilayer perceptron (MLP) is used since it can provide a single equation to model the exerted pressure for all the materials used as shoe uppers. Five different models are produced, one model for each one of the four subjects under study and an overall model for the four subjects. The inputs to the neural model include the characteristics of the material and the positions during a whole step of 14 pressure sensors placed on the foot surface. The goal is to find models with good generalization capabilities, (…

Correlation coefficientEXPRESION GRAFICA EN LA INGENIERIAGeneralizationComputer scienceShoe upperMachine learningcomputer.software_genreArtificial IntelligenceMultilayer perceptronSet (psychology)Training setArtificial neural networkArtificial neural networksbusiness.industryWork (physics)General EngineeringDorsal pressuresPressure sensorComputer Science ApplicationsData setMultilayer perceptronArtificial intelligencebusinesscomputerLENGUAJES Y SISTEMAS INFORMATICOS
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