Search results for "probability"

showing 10 items of 3417 documents

Analytically solvable Hamiltonians for quantum two-level systems and their dynamics

2014

A simple systematic way of obtaining analytically solvable Hamiltonians for quantum two-level systems is presented. In this method, a time-dependent Hamiltonian and the resulting unitary evolution operator are connected through an arbitrary function of time, furnishing us with new analytically solvable cases. The method is surprisingly simple, direct, and transparent and is applicable to a wide class of two-level Hamiltonians with no involved constraint on the input function. A few examples illustrate how the method leads to simple solvable Hamiltonians and dynamics.

Time-dependent HamiltonianStatistics and ProbabilitySolvable modelGeneral Physics and AstronomyInput functionStatistical and Nonlinear PhysicsQuantum two-level systemArbitrary functionSettore FIS/03 - Fisica Della MateriaPhysics and Astronomy (all)symbols.namesakeQuantum two-level system; Solvable model; Time-dependent Hamiltonian; Mathematical Physics; Physics and Astronomy (all); Statistical and Nonlinear Physics; Modeling and Simulation; Statistics and ProbabilityModeling and SimulationQuantum mechanicssymbolsMathematical PhysicHamiltonian (quantum mechanics)Unitary evolutionsolvable model quantum two-level system time-dependent HamiltonianQuantumMathematical PhysicsStatistical and Nonlinear PhysicMathematicsMathematical physicsJournal of Physics A: Mathematical and Theoretical
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Lévy flights in confining potentials.

2009

We analyze confining mechanisms for L\'{e}vy flights. When they evolve in suitable external potentials their variance may exist and show signatures of a superdiffusive transport. Two classes of stochastic jump - type processes are considered: those driven by Langevin equation with L\'{e}vy noise and those, named by us topological L\'{e}vy processes (occurring in systems with topological complexity like folded polymers or complex networks and generically in inhomogeneous media), whose Langevin representation is unknown and possibly nonexistent. Our major finding is that both above classes of processes stay in affinity and may share common stationary (eventually asymptotic) probability densit…

Topological complexityStochastic ProcessesStationary distributionStatistical Mechanics (cond-mat.stat-mech)Stochastic processProbability (math.PR)FOS: Physical sciencesMathematical Physics (math-ph)Complex networkModels TheoreticalLévy processLangevin equationDiffusionClassical mechanicsLévy flightFOS: MathematicsStatistical physicsCondensed Matter - Statistical MechanicsMathematical PhysicsMathematics - ProbabilityBrownian motionMathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
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Stability of degenerate parabolic Cauchy problems

2015

We prove that solutions to Cauchy problems related to the $p$-parabolic equations are stable with respect to the nonlinearity exponent $p$. More specifically, solutions with a fixed initial trace converge in an $L^q$-space to a solution of the limit problem as $p>2$ varies.

Trace (linear algebra)Applied MathematicsDegenerate energy levelsMathematical analysista111nonlinear parabolic equationsCauchy distribution35K55 35K15stabilityStability (probability)Nonlinear systemMathematics - Analysis of PDEsBarenblatt solutionsExponentFOS: MathematicsInitial value problemLimit (mathematics)initial value problemsCauchy problemsAnalysisMathematicsAnalysis of PDEs (math.AP)Communications on pure and applied analysis
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Feature Selection for Ensembles of Simple Bayesian Classifiers

2002

A popular method for creating an accurate classifier from a set of training data is to train several classifiers, and then to combine their predictions. The ensembles of simple Bayesian classifiers have traditionally not been a focus of research. However, the simple Bayesian classifier has much broader applicability than previously thought. Besides its high classification accuracy, it also has advantages in terms of simplicity, learning speed, classification speed, storage space, and incrementality. One way to generate an ensemble of simple Bayesian classifiers is to use different feature subsets as in the random subspace method. In this paper we present a technique for building ensembles o…

Training setComputer sciencebusiness.industryBayesian probabilityPattern recognitionFeature selectionMachine learningcomputer.software_genreLinear subspaceRandom subspace methodNaive Bayes classifierComputingMethodologies_PATTERNRECOGNITIONIterative refinementArtificial intelligencebusinesscomputerClassifier (UML)Cascading classifiers
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Effect of two antihypertensive combinations on metabolic control in type-2 diabetic hypertensive patients with albuminuria: a randomised, double-blin…

2001

The objective of this study was to compare, at equal blood pressure (BP) reduction, the effect of two different combinations on metabolic control and albuminuria in type 2 diabetic hypertensive patients with albuminuria. This was a prospective, randomised, double-blind, parallel, controlled trial carried out in 11 Spanish hospitals. A total of 103 type 2 diabetic patients with stable albuminuria and BP not controlled on monotherapy were randomised of which 93 finished the study. After a 4-week single-blind placebo period, patients were randomised to verapamil SR/trandolapril 180/2 mg (VT) or to enalapril/hydroclorothiazide 20/12.5 mg (EH). Treatment duration was 6 months. The main outcome m…

TrandolaprilMalemedicine.medical_specialtyIndolesUrologychemistry.chemical_compoundHydrochlorothiazideDouble-Blind MethodEnalaprilDiabetes mellitusInternal MedicinemedicineAlbuminuriaHumansEnalaprilProspective StudiesAntihypertensive AgentsAgedProbabilityCreatinineAnalysis of Variancebusiness.industryMiddle Agedmedicine.diseaseBlood pressureHydrochlorothiazideTreatment OutcomechemistryDiabetes Mellitus Type 2VerapamilSpainHypertensionMultivariate AnalysisAlbuminuriaUric acidDrug Therapy CombinationFemalemedicine.symptombusinessmedicine.drugFollow-Up StudiesJournal of human hypertension
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A method for genome-wide analysis of DNA helical tension by means of psoralen-DNA photobinding

2010

The helical tension of chromosomal DNA is one of the epigenetic landmarks most difficult to examine experimentally. The occurrence of DNA crosslinks mediated by psoralen photobinding (PB) stands as the only suitable probe for assessing this problem. PB is affected by chromatin structure when is done to saturation; but it is mainly determined by DNA helical tension when it is done to very low hit conditions. Hence, we developed a method for genome-wide analysis of DNA helical tension based on PB. We adjusted in vitro PB conditions that discern DNA helical tension and applied them to Saccharomyces cerevisiae cells. We selected the in vivo cross-linked DNA sequences and identified them on DNA …

Transcription GeneticUltraviolet RaysSaccharomyces cerevisiaeMutantADNSaccharomyces cerevisiaeBiologyDNA sequencingGenètica molecularchemistry.chemical_compoundGeneticsTrioxsalenDNA FungalOligonucleotide Array Sequence AnalysisProbabilityTopoisomeraseChromosomeDNAGenomicsbiology.organism_classificationMolecular biologyChromatinNucleosomesChromatinDNA-Binding ProteinsGenòmicaCross-Linking ReagentschemistryNaked DNAbiology.proteinBiophysicsNucleic Acid ConformationMethods OnlineChromosomes FungalDNA TopoisomerasesDNA
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Probabilistic semantics for categorical syllogisms of Figure II

2018

A coherence-based probability semantics for categorical syllogisms of Figure I, which have transitive structures, has been proposed recently (Gilio, Pfeifer, & Sanfilippo [15]). We extend this work by studying Figure II under coherence. Camestres is an example of a Figure II syllogism: from Every P is M and No S is M infer No S is P. We interpret these sentences by suitable conditional probability assessments. Since the probabilistic inference of \(\bar{P}|S\) from the premise set \(\{M|P,\bar{M}|S\}\) is not informative, we add \(p(S|(S \vee P))>0\) as a probabilistic constraint (i.e., an “existential import assumption”) to obtain probabilistic informativeness. We show how to propagate the…

Transitive relationSequenceSettore MAT/06 - Probabilita' E Statistica MatematicaProbabilistic logicSyllogismConditional probability02 engineering and technologyCoherence (philosophical gambling strategy)Imprecise probabilityCombinatoricscoherence conditional events defaults generalized quantifiers imprecise probability.020204 information systems0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingCategorical variableMathematics
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UAV-Aided Multi-Antenna Covert Communication Against Multiple Wardens

2021

In this paper, we propose a UAV-aided covert communication scheme assisted by a multi-antenna jammer to maximize the transmission rate between a ground transmitter and a UAV receiver against several randomly distributed wardens. The transmitter adopts the maximum ratio transmission, while the jammer zero-forces its transmitted signal at the UAV to disturb the monitoring at wardens without interfering the legitimate transmission. First, we analyze the detection performance and derive the optimal threshold for each warden to minimize its detection outage probability (DOP). Then, with the worst situation in which all wardens set their respective optimal thresholds to achieve the minimum global…

Transmission (telecommunications)Computer scienceComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKSTransmitterMulti antennaReal-time computingCovert communicationComputerApplications_COMPUTERSINOTHERSYSTEMSJammingData_CODINGANDINFORMATIONTHEORYOutage probabilityTransmitter power outputSignalICC 2021 - IEEE International Conference on Communications
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Inductive inference of recursive functions: Qualitative theory

2005

This survey contains both old and very recent results in non-quantitative aspects of inductive inference of total recursive functions. The survey is not complete. The paper was written to stress some of the main results in selected directions of research performed at the University of Latvia rather than to exhaust all of the obtained results. We concentrated on the more explored areas such as the inference of indices in non-Goedel computable numberings, the inference of minimal Goedel numbers, and the specifics of inference of minimal indices in Kolmogorov numberings.

Turing machinesymbols.namesakeTheoretical computer scienceInductive biasInductive probabilitysymbolsRecursive functionsInferenceInductive reasoningGödel's incompleteness theoremsQualitative theoryMathematics
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A comprehensive analysis of Universal Soil Loss Equation-based models at the Sparacia experimental area

2020

Improving Universal Soil Loss Equation (USLE)‐based models has large interest because simple and reliable analytical tools are necessary in the perspective of a sustainable land management. At first, in this paper, a general definition of the event rainfall‐ runoff erosivity factor for the USLE‐based models, REFₑ = (QR)ᵇ¹(EI₃₀)ᵇ², in which QR is the event runoff coefficient, EI₃₀ is the single‐storm erosion index, and b₁ and b₂ are coefficients, was introduced. The rainfall‐runoff erosivity factors of the USLE (b₁ = 0 and b₂ = 1), USLE‐M (b₁ = b₂ = 1), USLE‐MB (b₁ ≠ 1 and b₂ = 1), USLE‐MR (b₁ = 1 and b₂ ≠ 1), USLE‐MM (b₁ = b₂ ≠ 1), and USLE‐M2 (b₁ ≠ b₂ ≠ 1) can be defined using REFₑ. Then t…

USLE-type erosion modelssoil erosion010504 meteorology & atmospheric sciencesevent soil lo0207 environmental engineeringsoil loss prediction02 engineering and technology01 natural sciencesPlot (graphics)Term (time)Data setUniversal Soil Loss EquationStatisticsExponentErosionSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-Forestali020701 environmental engineeringSurface runoff0105 earth and related environmental sciencesWater Science and TechnologyEvent (probability theory)Mathematics
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