Results 51 to 60 of about 1,156,986 (207)
A New Clustering Strategy for Geo‐Referenced Time Series Based on Optimal Transport
ABSTRACT Advances in spatio‐temporal data collection have created a demand for efficient methods to analyze geo‐referenced time series (GTS), which capture changes over time at specific spatial locations. Traditional clustering methods often struggle to handle the high‐dimensional, complex nature of GTS.
Pasquale Pipiciello +2 more
wiley +1 more source
Abstract An important problem in the Earth sciences is extracting information about tectonic and other processes from topography. A general challenge is that geomorphic activity that we typically have little information about during the lifetime of a landscape can introduce geomorphic “noise”.
M. J. Morris +4 more
wiley +1 more source
Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications
In many applications such as color image processing, data has more than one piece of information associated with each spatial coordinate, and in such cases the classical optimal mass transport (OMT) must be generalized to handle vector-valued or matrix ...
Chen, Yongxin +3 more
core +3 more sources
Equidistribution of points in the harmonic ensemble for the Wasserstein distance
Abstract We study the asymptotics of the expected Wasserstein distance between the empirical measure of a point process and the background volume form. The main determinantal point process studied is the harmonic ensemble, where we get the optimal rate of convergence for homogeneous manifolds of dimension d⩾3$d\geqslant 3$, and for two‐point ...
Pablo García Arias
wiley +1 more source
\(L^{p}\)-approximation \((p \geq 1)\) by Stancu-Kantorovich polynomials
We establish direct and converse estimates for a generalized Kantorovich polynomial operator depending on a positive parameter.
Zoltán Finta
doaj +2 more sources
Semilocal analysis of equations with smooth operators
Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton's method, with new error bounds, is presented. Related topics are briefly surveyed.
George J. Miel
doaj +1 more source
Generalization of Szász operators: quantitative estimate and bounded variation
Difference of exponential type Szász and Szász-Kantorovich operators is obtained. Similar estimates are given for higher order $\mu$-derivatives of the Szász operators and the Szász-Kantorovich type operators acting on the same order $\mu$-derivative of ...
K. Bozkurt, M.L. Limmam, A. Aral
doaj +1 more source
The Schr\"odinger Equation in the Mean-Field and Semiclassical Regime
In this paper, we establish (1) the classical limit of the Hartree equation leading to the Vlasov equation, (2) the classical limit of the $N$-body linear Schr\"{o}dinger equation uniformly in N leading to the N-body Liouville equation of classical ...
Golse, François, Paul, Thierry
core +3 more sources
Approximation by nonlinear Bernstein-Chlodowsky operators of Kantorovich type
In this study, we give the monotonicity of the Bernstein-Chlodowsky max product operator. Then, we introduce Bernstein-Chlodowsky-Kantorovich operators of max-product type and obtain this operator preserves quasi-concavity.
Ecem Acar, Özge Güler, Kirci Serenbay
semanticscholar +1 more source
Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell +2 more
wiley +1 more source

