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pro vyhledávání: '"Alvarado, Enrique G."'
Autor:
Alvarado, Enrique G, Belton, Robin, Lee, Kang-Ju, Palande, Sourabh, Percival, Sarah, Purvine, Emilie, Tymochko, Sarah
The Mapper algorithm is a popular tool for visualization and data exploration in topological data analysis. We investigate an inverse problem for the Mapper algorithm: Given a dataset $X$ and a graph $G$, does there exist a set of Mapper parameters s
Externí odkaz:
http://arxiv.org/abs/2408.11180
We study the limiting behavior of $r$-maximum distance minimizers and the asymptotics of their $1$-dimensional Hausdorff measures as $r$ tends to zero in several contexts, including situations involving objects of fractal nature.
Comment: 24 pag
Comment: 24 pag
Externí odkaz:
http://arxiv.org/abs/2309.08055
Autor:
Mirth, Joshua, Zhai, Yanqin, Bush, Johnathan, Alvarado, Enrique G, Jordan, Howie, Heim, Mark, Krishnamoorthy, Bala, Pflaum, Markus, Clark, Aurora, Zhang, Yang, Adams, Henry
Publikováno v:
J. Chem. Phys. 154, 114114 (2021)
Encoding the complex features of an energy landscape is a challenging task, and often chemists pursue the most salient features (minima and barriers) along a highly reduced space, i.e. 2- or 3-dimensions. Even though disconnectivity graphs or merge t
Externí odkaz:
http://arxiv.org/abs/2011.00918
Given a compact $E \subset \mathbb{R}^n$ and $s > 0$, the maximum distance problem seeks a compact and connected subset of $\mathbb{R}^n$ of smallest one dimensional Hausdorff measure whose $s$-neighborhood covers $E$. For $E\subset \mathbb{R}^2$, we
Externí odkaz:
http://arxiv.org/abs/2004.07323
In this article, we provide a simple and systematic way to represent general (inhomogeneous) fractals that may look different at different scales and places. By using set-valued compression maps, we express these general fractals as $\mathcal{F}$-lim
Externí odkaz:
http://arxiv.org/abs/1707.08634
Autor:
Alvarado, Enrique G., Vixie, Kevin R.
We establish a quantitative lower bound on the reach of flat norm minimizers for boundaries in $\mathbb{R}^2$.
Externí odkaz:
http://arxiv.org/abs/1702.08068
Autor:
Mirth, Joshua, Zhai, Yanqin, Bush, Johnathan, Alvarado, Enrique G., Jordan, Howie, Heim, Mark, Krishnamoorthy, Bala, Pflaum, Markus, Clark, Aurora, Z, Y, Adams, Henry
Publikováno v:
Journal of Chemical Physics; 3/21/2021, Vol. 154 Issue 11, p1-19, 19p
Akademický článek
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