Interleaving and Gromov-Hausdorff distance
35 pages, v3: changed title and added references to uses of interleaving (Section 1.3)
Bubenik, Peter +2 more
openaire +2 more sources
Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
Bidirectional meta-Kronecker factored optimizer and Hausdorff distance loss for few-shot medical image segmentation. [PDF]
Kim Y, Kang D, Mok Y, Kwon S, Paik J.
europepmc +1 more source
Spanners under the Hausdorff and Fréchet distances
We initiate the study of spanners under the Hausdorff and Fréchet distances. We show that any $t$-spanner of a planar point-set $S$ is a $\frac{\sqrt{t^2-1}}{2}$-Hausdorff-spanner and a $\min\{\frac{t}{2},\frac{\sqrt{t^2-t}}{\sqrt{2}}\}$-Fréchet spanner.
Farhana, Tsuri, Katz, Matthew J.
openaire +3 more sources
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Development of hamming and hausdorff distance metrics for cubic intuitionistic fuzzy hypersoft set in cement storage quality control: Development and evaluation. [PDF]
Saeed M, Saeed MH, Khalid M, Mekawy I.
europepmc +1 more source
Convergence properties of dynamic mode decomposition for analytic interval maps
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
An Improved Automatic Algorithm for Global Eddy Tracking Using Satellite Altimeter Data
In this paper, we propose a new hybrid mesoscale eddy tracking method to enhance the eddy tracking accuracy from global satellite altimeter data. This method integrates both physical and geometric eddy properties (including the distance between eddies ...
Miao Sun +3 more
doaj +1 more source
Hausdorff distance of univoque sets
Expansions in non-integer bases have been investigated abundantly since their introduction by R nyi. It was discovered by Erd s et al. that the sets of numbers with a unique expansion have a much more complex structure than in the integer base case. The present paper is devoted to the continuity properties of these maps with respect to the Hausdorff ...
Cai, Yi, Komornik, Vilmos
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Nonemptiness of the Alpha‐Core
ABSTRACT We prove nonemptiness of the α $\alpha $‐core for balanced games with nonordered preferences, extending and generalizing in several aspects the results of Scarf (1971), Border (1984), Florenzano (1989), Yannelis (1991b), and Kajii (1992). In particular, we answer an open question in Kajii (1992) regarding the applicability of the nonemptiness ...
V. Filipe Martins‐da‐Rocha +1 more
wiley +1 more source

