Results 31 to 40 of about 65,484 (270)

Some Notes for Two Generalized Trigonometric Families of Distributions

Axioms, 2022
The paper deals with two general families of cumulative distribution functions based on arctangent function. We provide analysis of the error of the best one-sided Hausdorff approximation for some special cases of these families.
Maria T. Vasileva
doaj   +1 more source

On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function

Biomath, 2016
In this paper we study the one-sided Hausdorff distance between the shifted Heaviside step--function and the transmuted Stannard growth function. Precise upper and lower bounds for the Hausdorff distance have been obtained.
Anton Iliev Iliev, Nikolay Kyurkchiev, Svetoslav Markov   +2 more
doaj   +1 more source

Rational Hausdorff Divisors: a New approach to the Approximate Parametrization of Curves [PDF]

, 2013
In this paper we introduce the notion of rational Hausdorff divisor, we analyze the dimension and irreducibility of its associated linear system of curves, and we prove that all irreducible real curves belonging to the linear system are rational and are ...
Rueda, Sonia L., Sendra, J. Rafael, Sendra, Juana   +2 more
core   +6 more sources

The Hausdorff core problem on simple polygons

Journal of Computational Geometry, 2014
A polygon \(Q\) is a \(k\)-bounded Hausdorff Core of a polygon \(P\) if \(P\) contains \(Q\), \(Q\) is convex, and the Hausdorff distance between \(P\) and \(Q\) is at most \(k\).
Reza Dorrigiv, Stephane Durocher, Arash Farzan, Robert Fraser, Alejandro Lopez-Ortiz, J. Ian Munro, Alejandro Salinger, Matthew Skala   +7 more
doaj   +1 more source

Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation [PDF]

, 2014
We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map as the data. We consider piecewise constant wavespeeds on an unknown tetrahedral partition and prove a Lipschitz stability estimate in terms of the ...
Beretta, Elena, de Hoop, Maarten V., Francini, Elisa, Vessella, Sergio   +3 more
core   +2 more sources

Robust Geometry Estimation using the Generalized Voronoi Covariance Measure [PDF]

, 2015
The Voronoi Covariance Measure of a compact set K of R^d is a tensor-valued measure that encodes geometric information on K and which is known to be resilient to Hausdorff noise but sensitive to outliers. In this article, we generalize this notion to any
Cuel, Louis, Lachaud, Jacques-Olivier, Mérigot, Quentin, Thibert, Boris   +3 more
core   +4 more sources

Uncertainty-guided test-time optimization for personalizing segmentation models in longitudinal medical imaging. [PDF]

Med Phys
Abstract Background Accurate and consistent image segmentation across longitudinal scans is essential in many clinical applications, including surveillance, treatment monitoring, and adaptive interventions. While personalized model adaptation using patient‐specific prior scans has shown promise, current approaches typically rely on fixed training ...
Chun J, Castelo A, Woodland M, O'Connor C, Taie MA, Eltaher M, Gupta A, Daoud B, Ding S, Bennett J, Maitra A, Firpo MA, Kirkwood K, Koay EJ, Brock KK.   +14 more
europepmc   +2 more sources

The Dual Gromov-Hausdorff Propinquity [PDF]

, 2014
Motivated by the quest for an analogue of the Gromov-Hausdorff distance in noncommutative geometry which is well-behaved with respect to C*-algebraic structures, we propose a complete metric on the class of Leibniz quantum compact metric spaces, named ...
Alfsen, Bellissard, Blackadar, Burago, Connes, Connes, Connes, Dobrushin, Fell, Gromov, Gromov, Kadison, Kadison, Kantorovich, Kantorovich, Kerr, Kerr, Landsman, Latrémolière, Latrémolière, Latrémolière, Latrémolière, Li, Li, Li, Li, McShane, Morariu, Ozawa, Pedersen, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Seiberg, T'Hooft, Wasserstein, Wu, Wu   +45 more
core   +3 more sources

Quantized Gromov–Hausdorff distance

Journal of Functional Analysis, 2006
A quantized metric space is a matrix order unit space equipped with an operator space version of Rieffel's Lip-norm. We develop for quantized metric spaces an operator space version of quantum Gromov-Hausdorff distance. We show that two quantized metric spaces are completely isometric if and only if their quantized Gromov-Hausdorff distance is zero. We
openaire   +2 more sources

Some properties of the Blumberg's hyper-log-logistic curve

Biomath, 2018
The paper considers the sigmoid function definedthrough the hyper-log-logistic model introduced by Blumberg. We study the Hausdorff distance of this sigmoid to the Heaviside function, which characterises the shape of switching from 0 to 1.
Roumen Anguelov, Nikolay Kyurkchiev, Svetoslav Markov   +2 more
doaj   +1 more source