Results 111 to 120 of about 2,269,164 (264)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
wiley +1 more source
Recovering metric from full ordinal information
, 2018 Given a geodesic space (E, d), we show that full ordinal knowledge on the metric d-i.e. knowledge of the function D d : (w, x, y, z) $\rightarrow$ 1 d(w,x)$\le$d(y,z) , determines uniquely-up to a constant factor-the metric d.
Gouic, Thibaut Le
core
Order-unit quantum Gromov–Hausdorff distance [PDF]
Journal of Functional Analysis, 2006 We introduce a new distance dist_oq between compact quantum metric spaces. We show that dist_oq is Lipschitz equivalent to Rieffel's distance dist_q, and give criteria for when a parameterized family of compact quantum metric spaces is continuous with respect to dist_oq.
openaire +2 more sources
WIREs Computational Statistics, Volume 17, Issue 3, September 2025.The halfspace depth generalizes quantiles to multivariate data. This is a bagplot—a depth‐based analog of a boxplot. It succinctly captures the geometry of the bivariate dataset (blue/red points) and identifies the four red points in the top left corner as deviating from the general pattern of the data.
Stanislav Nagy
wiley +1 more source
Topographic Gromov-Hausdorff quantum Hypertopology for Quantum Proper Metric Spaces
, 2014 We construct a topology on the class of pointed proper quantum metric spaces which generalizes the topology of the Gromov-Hausdorff distance on proper metric spaces, and the topology of the dual propinquity on Leibniz quantum compact metric spaces.
Latremoliere, Frederic
core
Computation of the Hausdorff Distance between Two Compact Convex Sets. [PDF]
Algorithms, 2023 Lange K.
europepmc +1 more source
Gromov--Hausdorff Distance to Simplexes
, 2019 Geometric characteristics of metric spaces that appear in formulas of the Gromov--Hausdorff distances from these spaces to so-called simplexes, i.e., to the metric spaces, all whose non-zero distances are the same are studied. The corresponding calculations essentially use geometry of partitions of these spaces. In the finite case, it gives the lengths
Grigor'ev, D. S. +2 more
openaire +2 more sources
WIREs Data Mining and Knowledge Discovery, Volume 15, Issue 3, September 2025.The graphical abstract highlights the three key aspects addressed in this review: (1) the clinical background of intracranial hemorrhage (IH), providing context for its diagnosis and clinical significance; (2) the technical background of explainable artificial intelligence (XAI) methods relevant to IH‐related tasks; and (3) a systematic review of ...
Ali Kohan +4 more
wiley +1 more source
Interleaving and Gromov-Hausdorff distance
, 2017 35 pages, v3: changed title and added references to uses of interleaving (Section 1.3)
Bubenik, Peter +2 more
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Compact and finite‐type support in the homology of big mapping class groups
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract For any infinite‐type surface S$S$, a natural question is whether the homology of its mapping class group contains any non‐trivial classes that are supported on (i) a compact subsurface; or (ii) a finite‐type subsurface. Our purpose here is to study this question, in particular giving an almost‐complete answer when the genus of S$S$ is ...
Martin Palmer, Xiaolei Wu
wiley +1 more source