Search results for "equation"

showing 10 items of 4219 documents

Using the dglars Package to Estimate a Sparse Generalized Linear Model

2015

dglars is a publicly available R package that implements the method proposed in Augugliaro et al. (J. R. Statist. Soc. B 75(3), 471-498, 2013) developed to study the sparse structure of a generalized linear model (GLM). This method, called dgLARS, is based on a differential geometrical extension of the least angle regression method. The core of the dglars package consists of two algorithms implemented in Fortran 90 to efficiently compute the solution curve. dglars is a publicly available R package that implements the method proposed in Augugliaro et al. (J. R. Statist. Soc. B 75(3), 471-498, 2013) developed to study the sparse structure of a generalized linear model (GLM). This method, call…

Generalized linear modelFortranLeast-angle regressionGeneralized linear array modelFeature selectionSparse approximationdgLARS generalized linear models sparse models variable selectionGeneralized linear mixed modelSettore SECS-S/01 - StatisticacomputerGeneralized estimating equationAlgorithmMathematicscomputer.programming_language
researchProduct

Accounting for dispersion and correlation in estimating Safety Performance Functions. An overview starting from a case study

2013

In statistical analysis of crash count data, as well as in estimating Safety Performance Functions (SPFs), the failure of Poisson equidispersion hypothesis and the temporal correlation in annual crash counts must be considered to improve the reliability of estimation of the parameters. After a short discussion on the statistical tools accounting for dispersion and correlation, the paper presents the methodological path followed in estimating a SPF for urban four-leg, signalized intersections. Since the case study exhibited signs of underdispersion, a Conway-Maxwell-Poisson Generalized Linear Model (GLM) was fitted to the data; then a quasi-Poisson model in the framework of Generalized Estim…

Generalized linear modelMultidisciplinarybusiness.industryCrashAccountingPoisson distributionRegressionsymbols.namesakesafety performance functionStatisticsEconometricssymbolsSettore ICAR/04 - Strade Ferrovie Ed AeroportiStatistical dispersionbusinessroad safetyGeneralized estimating equationsignalized intersectionsReliability (statistics)COM-Poisson modelMathematicsCount data
researchProduct

Simplified Model to Predict Runoff Generation Time for Well-Drained and Vegetated Soils

2016

The study of generation process of subsurface stormflow, typical of well-drained and high permeable soils, can be theoretically carried out by applying the continuity and the motion equations with the appropriate boundary conditions. However, difficulties and uncertainness on determining soil hydraulic properties and soil physics heterogeneities let this way not always feasible. In a different way, processes dynamic can be derived by the local scale through a coarse graining procedure, allowing to preserve medium motion character, while hydraulic fluctuation of the motion are lost. Following an approach as this, in this paper a simplified model to predict the runoff generation time, the so-…

Generation timeSoil physics0208 environmental biotechnologyEquations of motion02 engineering and technologyAgricultural and Biological Sciences (miscellaneous)020801 environmental engineeringSoil waterEnvironmental scienceSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliGeotechnical engineeringGranularityBoundary value problemInterceptionSurface runoffWater Science and TechnologyCivil and Structural EngineeringRunoff-Generation Time Dunnian flow Interception Analytical Solution
researchProduct

Recovery of time-dependent coefficients from boundary data for hyperbolic equations

2019

We study uniqueness of the recovery of a time-dependent magnetic vector-valued potential and an electric scalar-valued potential on a Riemannian manifold from the knowledge of the Dirichlet to Neumann map of a hyperbolic equation. The Cauchy data is observed on time-like parts of the space-time boundary and uniqueness is proved up to the natural gauge for the problem. The proof is based on Gaussian beams and inversion of the light ray transform on Lorentzian manifolds under the assumptions that the Lorentzian manifold is a product of a Riemannian manifold with a time interval and that the geodesic ray transform is invertible on the Riemannian manifold.

GeodesicDirichlet-to-Neumann maplight ray transformmagnetic potentialBoundary (topology)CALDERON PROBLEM01 natural sciencesGaussian beamMathematics - Analysis of PDEsFOS: Mathematics111 Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]Uniqueness0101 mathematicsMathematics::Symplectic GeometryMathematical PhysicsMathematicsX-ray transformSTABILITYinverse problemsMathematical analysisStatistical and Nonlinear PhysicsRiemannian manifoldX-RAY TRANSFORMWave equationMathematics::Geometric TopologyManifoldTENSOR-FIELDS010101 applied mathematicsUNIQUE CONTINUATIONGeometry and TopologyMathematics::Differential GeometryWAVE-EQUATIONSHyperbolic partial differential equationAnalysis of PDEs (math.AP)
researchProduct

Comparison theorems for the volume of a geodesic ball with a product of space forms as a model

1995

We prove two comparison theorems for the volume of a geodesic ball in a Riemannian manifold taking as a model a geodesic ball in a product of two space forms.

GeodesicMathematical analysisGeodesic mapMathematics::Metric GeometryMathematics::Differential GeometryGeometry and TopologyBall (mathematics)Riemannian manifoldExponential map (Riemannian geometry)Solving the geodesic equationsRicci curvatureScalar curvatureMathematicsJournal of Geometry
researchProduct

The spatial dimension of the French private rental markets: Evidence from microgeographic data in 2015

2021

International audience; This article draws on data collected by local rental observatories in 12 French urban units in 2015 to analyze the spatial dimension of hedonic rental prices in the private rental market through (i) the spatial heterogeneity between urban units and (ii) the wide variety of contextual and locational characteristics (socio-economic, environmental (dis)amenity, and accessibility) and flexible specifications to capture their potential non-linear influence on rent. Based on a joint test of equality of coefficients across all urban units, we find that hedonic prices differ for 75% of the characteristics, thereby justifying a detailed analysis of heterogeneity. Lyon, Nice, …

Geography Planning and Development0211 other engineering and technologies02 engineering and technologyHedonic modelsManagement Monitoring Policy and LawJEL: C - Mathematical and Quantitative Methods/C.C2 - Single Equation Models • Single Variables/C.C2.C21 - Cross-Sectional Models • Spatial Models • Treatment Effect Models • Quantile RegressionsPrivate rental marketsJEL: R - Urban Rural Regional Real Estate and Transportation Economics/R.R3 - Real Estate Markets Spatial Production Analysis and Firm Location/R.R3.R31 - Housing Supply and MarketsRenting0502 economics and business11. SustainabilityArchitectureEconomicsEconomic geography050207 economicsDimension (data warehouse)Nature and Landscape Conservationbusiness.industry05 social sciences021107 urban & regional planning[SDV.SA.AEP]Life Sciences [q-bio]/Agricultural sciences/Agriculture economy and politics[SHS.ECO]Humanities and Social Sciences/Economics and FinanceSpatial heterogeneityUrban StudiesSpatial heterogeneitybusiness
researchProduct

Sorption of polycyclic aromatic hydrocarbons (PAHs) to carbonaceous materials in a river floodplain soil

2007

We report on sorption isotherm of phenanthrene (Phe) for river floodplain soil associated with carbonaceous materials, with particular attention being devoted to the natural loading of Phe. Our sorption experiments with original soil samples, size, and density sub-fractions showed that the light fraction had the highest sorption capacity comparable to low rank coals. In addition, the light fraction contributed most for the sorption of Phe in total soil samples. K(oc) values for all fractions were in the same range, thus indicating that coal and coal-derived particles in all samples are responsible for the enhanced sorption for Phe. Sorption was strongly nonlinear and the combined partitioni…

Geologic SedimentsSoil testHealth Toxicology and MutagenesisToxicologycomplex mixturesSoilchemistry.chemical_compoundRiversSoil PollutantsFreundlich equationPolycyclic Aromatic Hydrocarbonschemistry.chemical_classificationEcologyChemistrySorptionGeneral MedicineModels TheoreticalPhenanthrenesPhenanthrenePollutionSoil contaminationCarbonFloodsHydrocarbonEnvironmental chemistrySoil waterAdsorptionEnergy sourceEnvironmental Pollution
researchProduct

Solving stochastic differential equations on Homeo(S1)

2004

Abstract The Brownian motion with respect to the metric H 3/2 on Diff( S 1 ) has been constructed. It is realized on the group of homeomorphisms Homeo( S 1 ). In this work, we shall resolve the stochastic differential equations on Homeo( S 1 ) for a given drift Z .

Geometric Brownian motionPure mathematicsMathematics::Dynamical SystemsGroup (mathematics)Mathematical analysisMathematics::Geometric TopologyStochastic differential equationDiffusion processMetric (mathematics)Novikov's conditionGirsanov transformFlow of homeomorphismsCanonical Brownian motionMartingale problemBrownian motionAnalysisMathematicsJournal of Functional Analysis
researchProduct

Relativistic wave equations from supergroup quantization

1983

A formalism of geometric quantization recently introduced which is based on the consideration of Lie groups which are central extensions by U(1) is applied to the relativistic case by using the N-2 super Poincare group with a central charge.

Geometric quantizationsymbols.namesakePoincaré groupQuantum mechanicsDirac equationsymbolsLie groupRelativistic wave equationsCentral chargeKlein–Gordon equationSupergroupMathematical physicsMathematics
researchProduct

Hybrid WENO schemes for polydisperse sedimentation models

2015

International audience; Polydisperse sedimentation models can be described by a strongly coupled system of conservation laws for the concentration of each species of solids. Typical solutions for the sedimentation model considered for batch settling in a column include stationary kinematic shocks separating layers of sediment of different composition. This phenomenon, known as segregation of species, is a specially demanding task for numerical simulation due to the need of accurate numerical simulations. Very high-order accurate solutions can be constructed by incorporating characteristic information, available due to the hyperbolicity analysis made in Donat and Mulet [A secular equation fo…

Geometry010103 numerical & computational mathematics65M0601 natural sciences[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]symbols.namesake35L65finite difference WENO schemesApplied mathematicspolydisperse sedimentation0101 mathematicsMathematicsConservation lawPartial differential equationComputer simulationApplied Mathematics76T20Finite differenceComputer Science Applications010101 applied mathematicsComputational Theory and MathematicsFlow (mathematics)Jacobian matrix and determinantsymbolsGravitational singularityConstant (mathematics)component-wise schemes
researchProduct