Results 111 to 120 of about 195 (142)

Predicting Affinity Through Homology (PATH): Interpretable binding affinity prediction with persistent homology. [PDF]

PLoS Comput Biol
Long Y, Donald BR.
europepmc   +1 more source

Comparison theorems on H-type sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ
Baudoin F, Grong E, Rizzi L, Vega-Molino S.   +3 more
europepmc   +1 more source

Quasisymmetries of finitely ramified Julia sets. [PDF]

Math Ann
Belk J, Forrest B.
europepmc   +1 more source

Longitudinal evaluation of common and unique brain-networks in variants of primary progressive aphasia. [PDF]

Alzheimers Res Ther
Kashyap R, Bharath RD, Zhou C, Tsapkini K, Desmond JE, Chen SHA, Udupa K, Sivakumar PT, Bhattacharjee S.   +8 more
europepmc   +1 more source

Neck-pinching of C P 1 -structures in the PSL 2 C -character variety. [PDF]

J Topol
Baba S.
europepmc   +1 more source

Some Properties of Gromov–Hausdorff Distances [PDF]

Discrete and Computational Geometry, 2012
Let \({\mathcal G}\) stand for the class of all compact metric spaces and let \(GH(.,.)\) be the Gromov-Hausdorff distance on it. In this paper, a modified Gromov-Hausdorff distance is introduced as \(\widehat{GH}(X,Y)= (1/2)\max\{\text{infdis}(X\to Y),\text{infdis}(Y\to X)\}\), \(X,Y\in {\mathcal G}\).
Facundo Memoli, Memoli Facundo
exaly   +4 more sources

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Gromov–Hausdorff distance between interval and circle

Topology and Its Applications, 2022
The authors introduce the new notions of round metric spaces and nonlinearity degree of a metric space. A metric space \((X, d)\) is called round if, for every \(b \in (0, \operatorname{diam} X)\) and each \(x \in X\), there exists \(y \in X\) such that \(d(x, y) \geqslant b\).
Alexey Tuzhilin, Yibo Ji
exaly   +2 more sources

On $$p$$-Metric Spaces and the $$p$$-Gromov-Hausdorff Distance

P-Adic Numbers, Ultrametric Analysis, and Applications, 2022
The previous version of this paper is split into two papers: (1) the computational part of the previous version was expanded and written as a new paper which can be found at arXiv:2110.03136; (2) the current version of this paper contains the theoretical part of the previous ...
Facundo Memoli, Zhengchao Wan
exaly   +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
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Approximating Gromov-Hausdorff distance in Euclidean space

Computational Geometry: Theory and Applications
The Gromov-Hausdorff distance $(d_{GH})$ proves to be a useful distance measure between shapes. In order to approximate $d_{GH}$ for compact subsets $X,Y\subset\mathbb{R}^d$, we look into its relationship with $d_{H,iso}$, the infimum Hausdorff distance under Euclidean isometries.
, Sushovan Majhi, Carola Wenk
exaly   +3 more sources