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pro vyhledávání: '"Belton, Robin"'
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
Autor:
Alvarado, Enrique, Belton, Robin, Fischer, Emily, Lee, Kang-Ju, Palande, Sourabh, Percival, Sarah, Purvine, Emilie
The Mapper algorithm is a visualization technique in topological data analysis (TDA) that outputs a graph reflecting the structure of a given dataset. However, the Mapper algorithm requires tuning several parameters in order to generate a ``nice" Map
Externí odkaz:
http://arxiv.org/abs/2309.06634
Local maxima and minima, or extremal events, in experimental time series can be used as a coarse summary to characterize data. However, the discrete sampling in recording experimental measurements suggests uncertainty on the true timing of extrema du
Externí odkaz:
http://arxiv.org/abs/2203.09552
Autor:
Belton, Robin, Brooks, Robyn, Ebli, Stefania, Fajstrup, Lisbeth, Fasy, Brittany Terese, Sanderson, Nicole, Vidaurre, Elizabeth
Publikováno v:
In Research in Computational Topology 2 (pp. 167-189). Springer, Cham (2022)
The purpose of this article is to study directed collapsibility of directed Euclidean cubical complexes. One application of this is in the nontrivial task of verifying the execution of concurrent programs. The classical definition of collapsibility i
Externí odkaz:
http://arxiv.org/abs/2106.01524
Autor:
Belton, Robin Lynne, Fasy, Brittany Terese, Mertz, Rostik, Micka, Samuel, Millman, David L., Salinas, Daniel, Schenfisch, Anna, Schupbach, Jordan, Williams, Lucia
The persistence diagram (PD) is an increasingly popular topological descriptor. By encoding the size and prominence of topological features at varying scales, the PD provides important geometric and topological information about a space. Recent work
Externí odkaz:
http://arxiv.org/abs/1912.08913
Autor:
Belton, Robin, Brooks, Robyn, Ebli, Stefania, Fajstrup, Lisbeth, Fasy, Brittany Terese, Ray, Catherine, Sanderson, Nicole, Vidaurre, Elizabeth
In the directed setting, the spaces of directed paths between fixed initial and terminal points are the defining feature for distinguishing different directed spaces. The simplest case is when the space of directed paths is homotopy equivalent to tha
Externí odkaz:
http://arxiv.org/abs/1902.01039
Autor:
Belton, Robin Lynne, Fasy, Brittany Terese, Mertz, Rostik, Micka, Samuel, Millman, David L., Salinas, Daniel, Schenfisch, Anna, Schupbach, Jordan, Williams, Lucia
Topological Data Analysis (TDA) studies the shape of data. A common topological descriptor is the persistence diagram, which encodes topological features in a topological space at different scales. Turner, Mukeherjee, and Boyer showed that one can re
Externí odkaz:
http://arxiv.org/abs/1805.10716
Autor:
Belton, Robin Lynne, Fasy, Brittany Terese, Mertz, Rostik, Micka, Samuel, Millman, David L., Salinas, Daniel, Schenfisch, Anna, Schupbach, Jordan, Williams, Lucia
Publikováno v:
In Computational Geometry: Theory and Applications October 2020 90
Publikováno v:
Foundations of Data Science; Mar2023, Vol. 5 Issue 1, p81-151, 71p
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