Results 71 to 80 of about 1,510 (211)
Wasserstein Regression, Forecasting, and Change‐Point Detection for Daily Traffic Flow Distributions
ABSTRACT We develop a distribution‐valued framework for modeling, forecasting, and monitoring traffic flow counts by treating each day as a probability distribution summarized by jittered empirical quantile signatures. Inference is conducted under the 2‐Wasserstein geometry, which in one dimension is isometric to the L2(0,1)$$ {L}^2\left(0,1\right ...
Abdolnasser Sadeghkhani
wiley +1 more source
On the Foundational Arguments of Sufficient Dimension Reduction
Contemporary Sufficient Dimension Reduction, a versatile method for extracting material information from data, can serve as a preprocessor for classical modeling and inference, or as a standalone theory that leads directly to statistical inference. ABSTRACT Sufficient dimension reduction (SDR) refers to supervised methods of dimension reduction that ...
R. Dennis Cook
wiley +1 more source
Dimensions of Bivariate Spline Spaces and Algebraic Geometry [PDF]
Splines are piecewise polynomial functions of a given order of smoothness r. Given complex delta the set of splines of degree less than or equal to d forms a vector space and is denoted by Sr d(delta). For a simplicial complex delta, Strang conjectured a
Ko, Youngdeug
core
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
The quadratic B-spline method is a widely recognized numerical technique for solving systems of Volterra integro-differential equations that involve both classical and fractional derivatives (SVIDE’s-CF).
D.Kh. Abdullah +2 more
doaj +1 more source
Mathematical model for an adiabatic tubular chemical reactor which processes an irreversible exothermic chemical reaction has been considered. For steady state solution for an adiabatic tubular chemical reactor, the model can be reduced to ordinary ...
Sahu P. K., Ranjan A. K., Saha Ray S.
doaj +1 more source
A Numerical Fractional Spline for Solving System of Fractional Differential Equations [PDF]
Fractional-order differential equations are fundamental in diverse scientific and engineering fields, including population dynamics, optimal control, and physics.
Faraidun Hamasalh, Paywast Hasan
doaj +1 more source
The Algebra of Splines: Duality, Group Actions and Homology
This survey gives an overview of three central algebraic themes related to the study of splines: duality, group actions, and homology. Splines are piecewise polynomial functions of a prescribed order of smoothness on some subdivided domain D in R^k, and appear in applications ranging from approximation theory to geometric modeling to numerical analysis.
Martina Lanini +2 more
openaire +2 more sources
Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
WEB-spline-based multigrid methods for the stationary stokes problem
We discuss a multigrid technique in solving a large system of linear algebraic equations arising in the approximation of Stokes equations by a new strategy based on weighted extended B-spline (WEB-spline) methods.
Kumar, BV Rathish, Das, PC, Kumar, VVKS
core +1 more source

