Search results for " Generalized"

showing 10 items of 87 documents

Daily streamlow prediction with uncertainty in ephemeral catchments using the GLUE methodology

2009

Abstract The Generalised Likelihood Uncertainty Estimation (GLUE) approach is presented here as a tool for estimating the predictive uncertainty of a rainfall–runoff model. The GLUE methodology allows to recognise the possible equifinality of different parameter sets and assesses the likelihood of a parameters set being acceptable simulator when model predictions are compared to observed field data. The results of the GLUE methodology depend greatly on the choice of the likelihood measure and on the choice of the threshold which determines if a parameters set is behavioural or not. Moreover the sampling size has a strong influence on the uncertainty assessment of the response of a rainfall–…

Computer scienceSettore ICAR/02 - Costruzioni Idrauliche E Marittime E IdrologiaEquifinalityVariance (accounting)Measure (mathematics)GeophysicsGeochemistry and PetrologySample size determinationStatisticsEconometricsSample varianceSensitivity analysisGLUEPredictive uncertainty Rainfall-Runoff model Generalized Likelehood Uncertainty Estimation Ephemeral catchmentsUncertainty analysis
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On general conditional prevision assessments

2009

In this paper we consider general conditional random quantities of the kind $X|Y$, where $X$ and $Y$ are finite discrete random quantities. Then, we introduce the notion of coherence for conditional prevision assessments on finite families of general conditional random quantities. Moreover, we give a compound prevision theorem and we examine the relation between the previsions of $X|Y$ and $Y|X$. Then, we give some results on random gains and, by a suitable alternative theorem, we obtain a characterization of coherence. We also propose an algorithm for the checking of coherence. Finally, we briefly examine the case of imprecise conditional prevision assessments by introducing the notions of…

Conditional random quantities; coherence; conditional prevision assessments; random gain; alternative theorems; algorithms; imprecise assessments; generalized and total coherence.Settore MAT/06 - Probabilita' E Statistica Matematicarandom gainConditional events general conditional random quantitiesgeneral conditional prevision assessments generalized compound prevision theorem generalized Bayes TheoremConditional random quantitiesalgorithmsimprecise assessmentsalternative theoremsgeneralized and total coherencecoherenceconditional prevision assessments
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Differential geometric LARS via cyclic coordinate descent method

2012

We address the problem of how to compute the coefficient path implicitly defined by the differential geometric LARS (dgLARS) method in a high-dimensional setting. Although the geometrical theory developed to define the dgLARS method does not need of the definition of a penalty function, we show that it is possible to develop a cyclic coordinate descent algorithm to compute the solution curve in a high-dimensional setting. Simulation studies show that the proposed algorithm is significantly faster than the prediction-corrector algorithm originally developed to compute the dgLARS solution curve.

Cyclic coordinate descent method Differential geometry dgLARS Generalized linear models LARS Sparse models Variable selectionSettore SECS-S/01 - Statistica
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New lower bounds for the minimum distance of generalized algebraic geometry codes

2013

Abstract In this paper, we give a new lower bound for generalized algebraic geometry codes with which we are able to construct some new linear codes having better parameters compared with the ones known in the literature. Moreover, we give a relationship between a family of generalized algebraic geometry codes and algebraic geometry codes. Finally, we propose a decoding algorithm for such a family.

Discrete mathematicsAlgebraic cycleBlock codeAlgebraic function field generalized algebraic geometry codes minimum distanceAlgebra and Number TheoryDerived algebraic geometryFunction field of an algebraic varietyAlgebraic surfaceReal algebraic geometryDimension of an algebraic varietySettore MAT/03 - GeometriaLinear codeMathematicsJournal of Pure and Applied Algebra
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Best proximity point theorems for rational proximal contractions

2013

Abstract We provide sufficient conditions which warrant the existence and uniqueness of the best proximity point for two new types of contractions in the setting of metric spaces. The presented results extend, generalize and improve some known results from best proximity point theory and fixed-point theory. We also give some examples to illustrate and validate our definitions and results. MSC:41A65, 46B20, 47H10.

Discrete mathematicsPure mathematicsMetric spaceDifferential geometrySettore MAT/05 - Analisi MatematicaApplied MathematicsProximity problemsUniquenessGeometry and TopologyFixed pointPoint theorybest proximity point contraction fixed point generalized proximal contraction optimal approximate solutionMathematicsFixed Point Theory and Applications
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Impact of common property (E.A.) on fixed point theorems in fuzzy metric spaces

2011

We observe that the notion of common property (E.A.) relaxes the required containment of range of one mapping into the range of other which is utilized to construct the sequence of joint iterates. As a consequence, a multitude of recent fixed point theorems of the existing literature are sharpened and enriched.

Discrete mathematicsT57-57.97QA299.6-433Containment (computer programming)Pure mathematicsSequenceApplied mathematics. Quantitative methodsApplied MathematicsFixed-point theoremConstruct (python library)Fuzzy metric space property (E.A.) common property (E.A.) common fixed point generalized fuzzy contractionRange (mathematics)Differential geometryIterated functionSettore MAT/05 - Analisi MatematicaCommon propertyGeometry and TopologyAnalysisMathematics
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An Ecology and Economy Coupling Model. A global stationary state model for a sustainable economy in the Hamiltonian formalism

2020

Abstract The severity of the two deeply correlated crises, the environmental and the economic ones, needs to be faced also in theoretical terms; thus, the authors propose a model yielding a global “stationary state”, following the idea of a “steady-state economics” by Georgescu-Rogen and Herman Daly, by constructing only one dynamical system of ecological and economic coupled variables. This is possible resorting to the generalized Volterra model, that, translated in the Hamiltonian formalism and its Hamilton equations, makes possible to “conjugate” every pair of variables, one economic, the other one ecological, in describing the behavior in time of a unique dynamical system. Applying the …

Economics and Econometrics010504 meteorology & atmospheric sciencesquasiperiodic motionsStability (learning theory)“conjugate” Hamiltonian pairs010501 environmental sciences“Conjugate” Hamiltonian pairsDynamical system01 natural sciencesNewtonian dynamicsVolterra generalized modelsymbols.namesake0105 earth and related environmental sciencesGeneral Environmental ScienceMathematicsUnique dynamical system; Volterra generalized model; “conjugate” Hamiltonian pairs; quasiperiodic motions; Lyapunov stability; global stationary state.Lyapunov stabilityHamiltonian mechanicsQuasi-periodic motionEcologyglobal stationary stateGlobal stationary statePhase spacePath (graph theory)Lyapunov stabilitysymbolsUnique dynamical systemStationary state
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Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: Phase-plane, multi-infinite series and …

2014

In this paper we employ three recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a family of so-called short-pulse equations (SPE). A recent, novel application of phase-plane analysis is first employed to show the existence of breaking kink wave solutions in certain parameter regimes. Secondly, smooth traveling waves are derived using a recent technique to derive convergent multi-infinite series solutions for the homoclinic (heteroclinic) orbits of the traveling-wave equations for the SPE equation, as well as for its generalized version with arbitrary coefficients. These correspond to pulse (kink or shock) solutions respectively o…

Equilibrium pointNumerical AnalysisNonlinear Sciences - Exactly Solvable and Integrable SystemsSeries (mathematics)Homoclinic and heteroclinic orbitApplied MathematicsMathematical analysisFOS: Physical sciencesMathematical Physics (math-ph)Phase planeTraveling waveNonlinear systemSPE and generalized SPE equationModeling and SimulationSaddle pointHomoclinic orbitExactly Solvable and Integrable Systems (nlin.SI)Singular solutionVariational solitary wavesSettore MAT/07 - Fisica MatematicaMathematical PhysicsConvergent seriesAnsatzMathematicsCommunications in Nonlinear Science and Numerical Simulation
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Lightweight LCP construction for very large collections of strings

2016

The longest common prefix array is a very advantageous data structure that, combined with the suffix array and the Burrows-Wheeler transform, allows to efficiently compute some combinatorial properties of a string useful in several applications, especially in biological contexts. Nowadays, the input data for many problems are big collections of strings, for instance the data coming from "next-generation" DNA sequencing (NGS) technologies. In this paper we present the first lightweight algorithm (called extLCP) for the simultaneous computation of the longest common prefix array and the Burrows-Wheeler transform of a very large collection of strings having any length. The computation is reali…

FOS: Computer and information sciencesComputer scienceComputation0102 computer and information sciences02 engineering and technologyParallel computing01 natural sciencesGeneralized Suffix ArrayTheoretical Computer Sciencelaw.inventionlawComputational Theory and MathematicComputer Science - Data Structures and AlgorithmsExtended Burrows-Wheeler TransformData_FILES0202 electrical engineering electronic engineering information engineeringDiscrete Mathematics and CombinatoricsData Structures and Algorithms (cs.DS)Discrete Mathematics and CombinatoricAuxiliary memoryLongest Common Prefix Array; Extended Burrows-Wheeler Transform; Generalized Suffix Array;String (computer science)LCP arraySuffix arrayData structureComputational Theory and Mathematics010201 computation theory & mathematicsLongest Common Prefix Array020201 artificial intelligence & image processingJournal of Discrete Algorithms
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Quasi conjunction, quasi disjunction, t-norms and t-conorms: Probabilistic aspects

2013

We make a probabilistic analysis related to some inference rules which play an important role in nonmonotonic reasoning. In a coherence-based setting, we study the extensions of a probability assessment defined on $n$ conditional events to their quasi conjunction, and by exploiting duality, to their quasi disjunction. The lower and upper bounds coincide with some well known t-norms and t-conorms: minimum, product, Lukasiewicz, and Hamacher t-norms and their dual t-conorms. On this basis we obtain Quasi And and Quasi Or rules. These are rules for which any finite family of conditional events p-entails the associated quasi conjunction and quasi disjunction. We examine some cases of logical de…

FOS: Computer and information sciencesSettore MAT/06 - Probabilita' E Statistica MatematicaInformation Systems and ManagementComputer Science - Artificial Intelligencet-Norms/conormDuality (mathematics)goodman-nguyen inclusion relation; lower/upper probability bounds; t-norms/conorms; generalized loop rule; coherence; quasi conjunction/disjunctionComputer Science::Artificial IntelligenceTheoretical Computer ScienceArtificial IntelligenceFOS: MathematicsProbabilistic analysis of algorithmsNon-monotonic logicRule of inferenceLower/upper probability boundGoodman–Nguyen inclusion relationMathematicsEvent (probability theory)Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniDiscrete mathematicsInterpretation (logic)Probability (math.PR)Probabilistic logicCoherence (philosophical gambling strategy)Generalized Loop ruleComputer Science ApplicationsAlgebraArtificial Intelligence (cs.AI)Control and Systems EngineeringQuasi conjunction/disjunctionCoherenceMathematics - ProbabilitySoftwareInformation Sciences
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