Results 11 to 20 of about 195 (142)
Quantifying the Single-Cell Morphological Landscape of Cellular Transdifferentiation through Force Field Reconstruction. [PDF]
Adv Sci (Weinh)This study reconstructs the driving force field of fibroblast‐to‐neuron transdifferentiation from sparse single‐cell images by decomposing it into flux and time‐dependent potential gradient, extending the landscape‐flux framework to non‐steady‐state systems.
Yu C, Liu C, Wang E, Wang J.
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The Gromov–Hausdorff distance between spheres
Geometry & Topology, 2023 * We made some structural changes for better ...
Lim, Sunhyuk +2 more
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Vector Bundles and Gromov–Hausdorff Distance [PDF]
Journal of K-Theory, 2009 AbstractWe show how to make precise the vague idea that for compact metric spaces that are close together for Gromov–Hausdorff distance, suitable vector bundles on one metric space will have counterpart vector bundles on the other. Our approach employs the Lipschitz constants of projection-valued functions that determine vector bundles. We develop some
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Computing the Gromov-Hausdorff Distance for Metric Trees [PDF]
ACM Transactions on Algorithms, 2015 The Gromov-Hausdorff (GH) distance is a natural way to measure distance between two metric spaces. We prove that it is NP-hard to approximate the GH distance better than a factor of 3 for geodesic metrics on a pair of trees. We complement this result by providing a polynomial time O (min n , √
Pankaj K. Agarwal +4 more
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Dendrograms of electroencephalograms and their characterization based on metrics [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаDendrograms obtained from electroencephalograms are studied as maximal prefix codes. A dendrogram defines a distribution on the space of 2-adic integers and represents a partition, up to the set of zero Haar measure, into balls of nonzero radii.
Tyapaev, Livat Borisovich +1 more
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Volume Comparison in the presence of a Gromov-Hausdorff ε−approximation II
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 Let (M, g) be any compact, connected, Riemannian manifold of dimension n. We use a transport of measures and the barycentre to construct a map from (M, g) onto a Hyperbolic manifold (ℍn/Λ, g0) (Λ is a torsionless subgroup of Isom(ℍn,g0)), in such a way ...
Sabatini Luca
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A quantitative obstruction to collapsing surfaces
Open Mathematics, 2019 We provide a quantitative obstruction to collapsing surfaces of genus at least 2 under a lower curvature bound and an upper diameter bound.
Katz Mikhail G.
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ANALYSIS OF FRESCHET AND HAUSDORF METRICS AND THEIR MODIFICATIONS FOR IMAGE COMPARISON
Компютерні системи та інформаційні технологіїThis paper provides a comprehensive analysis of classical and modern metric approaches used for quantitative evaluation of image similarity, including the Fréchet and Hausdorff distances as well as their modifications – the Gromov-Fréchet and Gromov ...
Микола БЕРЕЗЬКИЙ
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Matricial quantum Gromov–Hausdorff distance
Journal of Functional Analysis, 2003 We develop a matricial version of Rieffel's Gromov-Hausdorff distance for compact quantum metric spaces within the setting of operator systems and unital C*-algebras. Our approach yields a metric space of ``isometric'' unital complete order isomorphism classes of metrized operator systems which in many cases exhibits the same convergence properties as ...
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A polynomial-time relaxation of the Gromov-Hausdorff distance
CoRR, 2016 15 ...
Soledad Villar +3 more
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