Search results for "generalization"

showing 10 items of 250 documents

Nonlinear pseudo-bosons

2011

In a series of recent papers the author has introduced the notion of (regular) pseudo-bosons showing, in particular, that two number-like operators, whose spectra are ${\Bbb N}_0:={\Bbb N}\cup\{0\}$, can be naturally introduced. Here we extend this construction to operators with rather more general spectra. Of course, this generalization can be applied to many more physical systems. We discuss several examples of our framework.

Series (mathematics)GeneralizationHilbert spacePhysical systemFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)pseudo-bosoncoherent statesTheoretical physicsNonlinear systemsymbols.namesakesymbolsCoherent statesSettore MAT/07 - Fisica MatematicaComputer Science::DatabasesMathematical PhysicsBosonMathematicsJournal of Mathematical Physics
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Generalized Rough Sets in Contextual Spaces

1997

This paper presents a generalization of Pawlak’s conception of rough sets [6] and [7]. It is more general than Pawlak’s solution of the problem of the definability of sets, the knowledge of which is incomplete and vague. The authors’ conception is based on conception of contextual space [4], which was inspired by Ziarko’s approach [12] to rough sets. Rough sets introduced by Pawlak [6] are particular cases of contextual rough sets defined in the contextual approximation space. This space is defined axiomatically by means of so called context relations. Every contextual rough set determined by set X can be determined by the union of the lower approximation of X and a subset of the boundary o…

Set (abstract data type)AlgebraAxiom of extensionalityGeneralizationBoundary (topology)Context (language use)Rough setSpace (commercial competition)Element (category theory)Mathematics
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Application of EαNets to Feature Recognition of Articulation Manner in Knowledge-Based Automatic Speech Recognition

2006

Speech recognition has become common in many application domains. Incorporating acoustic-phonetic knowledge into Automatic Speech Recognition (ASR) systems design has been proven a viable approach to rise ASR accuracy. Manner of articulation attributes such as vowel, stop, fricative, approximant, nasal, and silence are examples of such knowledge. Neural networks have already been used successfully as detectors for manner of articulation attributes starting from representations of speech signal frames. In this paper, a set of six detectors for the above mentioned attributes is designed based on the E-αNet model of neural networks. This model was chosen for its capability to learn hidden acti…

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniArtificial neural networkGeneralizationComputer scienceSpeech recognitionSIGNAL (programming language)cognitive architectureFeature recognitionneural networks speech recognitionAnthropomorphic robotsManner of articulationSystems designSet (psychology)Articulation (phonetics)Robots
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Simulated Annealing Technique for Fast Learning of SOM Networks

2011

The Self-Organizing Map (SOM) is a popular unsupervised neural network able to provide effective clustering and data visualization for multidimensional input datasets. In this paper, we present an application of the simulated annealing procedure to the SOM learning algorithm with the aim to obtain a fast learning and better performances in terms of quantization error. The proposed learning algorithm is called Fast Learning Self-Organized Map, and it does not affect the easiness of the basic learning algorithm of the standard SOM. The proposed learning algorithm also improves the quality of resulting maps by providing better clustering quality and topology preservation of input multi-dimensi…

Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniComputer Science::Machine LearningArtificial IntelligenceSOM Simulated annealing Clustering Fast learningArtificial neural networkWake-sleep algorithmbusiness.industryComputer scienceTopology (electrical circuits)computer.software_genreAdaptive simulated annealingGeneralization errorData visualizationComputingMethodologies_PATTERNRECOGNITIONArtificial IntelligenceSimulated annealingUnsupervised learningData miningbusinessCluster analysisSelf Organizing map simulated annealingcomputerSoftware
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Particle Group Metropolis Methods for Tracking the Leaf Area Index

2020

Monte Carlo (MC) algorithms are widely used for Bayesian inference in statistics, signal processing, and machine learning. In this work, we introduce an Markov Chain Monte Carlo (MCMC) technique driven by a particle filter. The resulting scheme is a generalization of the so-called Particle Metropolis-Hastings (PMH) method, where a suitable Markov chain of sets of weighted samples is generated. We also introduce a marginal version for the goal of jointly inferring dynamic and static variables. The proposed algorithms outperform the corresponding standard PMH schemes, as shown by numerical experiments.

Signal processing010504 meteorology & atmospheric sciencesMarkov chainGeneralizationComputer scienceBayesian inferenceMonte Carlo method020206 networking & telecommunicationsMarkov chain Monte Carlo02 engineering and technologystate-space modelsTracking (particle physics)Bayesian inference01 natural sciencesParticle FilteringStatistics::Computationsymbols.namesake0202 electrical engineering electronic engineering information engineeringsymbolsParticle MCMCParticle filterMonte CarloAlgorithm0105 earth and related environmental sciences
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Generalized singly-implicit Runge-Kutta methods with arbitrary knots

1985

The aim of this paper is to derive Butcher's generalization of singly-implicit methods without restrictions on the knots. Our analysis yields explicit computable expressions for the similarity transformations involved which allow the efficient implementation of the first phase of the method, i.e. the solution of the nonlinear equations. Furthermore, simple formulas for the second phase of the method, i.e. computation of the approximations at the next nodal point, are established. Finally, the matrix which governs the stability of the method is studied.

Similarity (geometry)Computer Networks and CommunicationsGeneralizationApplied MathematicsComputationMathematical analysisStability (learning theory)Computational MathematicsMatrix (mathematics)Runge–Kutta methodsNonlinear systemSimple (abstract algebra)SoftwareMathematicsBIT
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Perception of illusory surfaces and contours in goldfish

2007

Goldfish(Carassius auratus)were trained to discriminate triangles and squares using a two choice procedure. In the first experiment, three goldfish were trained with food reward on a black outline triangle on a white background, while a black outline square was shown for comparison. In transfer tests, a Kanizsa triangle and a Kanizsa square were presented, perceived by humans as an illusory triangle- or square-shaped surface of slightly higher brightness than the background. The choice behavior in this situation indicates that goldfish are able to discriminate between both figures in almost the same way as in the training situation. In control experiments goldfish did not discriminate betwe…

Similarity (geometry)PhysiologyGeneralizationTransfer Psychologymedia_common.quotation_subjectDiagonalIllusionChoice BehaviorGeneralization PsychologicalSquare (algebra)GoldfishPerceptionIllusory contoursAnimalsmedia_commonCommunicationBehavior AnimalOptical IllusionsOptical illusionbusiness.industryPattern recognitionSensory SystemsForm PerceptionPattern Recognition VisualArtificial intelligencePsychologybusinessPhotic StimulationVisual Neuroscience
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The mystery of the Polish soul. B. W. Johnson's effectà rebours

1996

Studies conducted in Poland replicated a not very-well known effect discovered by B. W. Johnson (1937). In his study students estimated their mood on several successive days each time comparing it to the mood they usually have. The results revealed a peculiar positive bias in that the students usually defined their mood as 'better than usual'. Johnson's study was replicated in Poland, where demonstration of optimism is not a cultural norm. The results suggest that Polish subjects 'usually define their mood as worse than usual'. The generalization and limitation of this negative bias is discussed in the light of the Pollyanna Principle and related empirical studies involving Polish subjects.

Social Psychologymedia_common.quotation_subjectSocial environmentNegative biasMoodOptimismGeneralization (learning)mental disordersPositive biasPollyanna principleSoulPsychologySocial psychologymedia_commonEuropean Journal of Social Psychology
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A value for multichoice games

2000

Abstract A multichoice game is a generalization of a cooperative TU game in which each player has several activity levels. We study the solution for these games proposed by Van Den Nouweland et al. (1995) [Van Den Nouweland, A., Potters, J., Tijs, S., Zarzuelo, J.M., 1995. Cores and related solution concepts for multi-choice games. ZOR-Mathematical Methods of Operations Research 41, 289–311]. We show that this solution applied to the discrete cost sharing model coincides with the Aumann-Shapley method proposed by Moulin (1995) [Moulin, H., 1995. On additive methods to share joint costs. The Japanese Economic Review 46, 303–332]. Also, we show that the Aumann-Shapley value for continuum game…

Sociology and Political ScienceGeneralizationMoulinGeneral Social SciencesShapley valueConvergence (routing)Continuum (set theory)Limit (mathematics)Statistics Probability and UncertaintyValue (mathematics)Mathematical economicsGeneral PsychologyAxiomMathematicsMathematical Social Sciences
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Influencia de las escuelas flautísticas en la praxis docente del profesorado superior en España

2020

Las escuelas nacionales de flauta travesera han jugado un papel importante en la generalización de las técnicas y en la creación de métodos que han conseguido ser atemporales y de probada solvencia. El objetivo radica en conocer la influencia e influjos que las diferentes escuelas puedan tener sobre el alumnado, y determinar si realmente hoy en día se pueden acotar dichas doctrinas, producto de un momento determinado y en unas circunstancias de expansión del instrumento. Este artículo se centra en datos obtenidos acerca de la influencia que estas escuelas de flauta ejercen sobre el profesorado superior de flauta. Se observa que todos los docentes aplican métodos de autores de distinta escue…

SolvencyNoticeTeaching - actionInstruments musicalsGeneralization (learning)Mathematics educationFluteGeneral MedicineEducacióPsychologyMúsica Ensenyament
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