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I spend 8+ hours a day building with AI. Claude, Cursor, Telex — I’m in it. I love these tools. I also love WordPress. And I’m tired of people telling...
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Look up rips in Wiktionary, the free dictionary. Rips may refer to: Rips, Sarandë, a location in Albania on the border with Greece De Rips, a village in
until 2013. In 2016, RIPS Technologies, a company based in Bochum, Germany, released a rewritten version of RIPS. The closed-source RIPS product was focused
data analysis, the Vietoris–Rips filtration (sometimes shortened to "Rips filtration") is the collection of nested Vietoris–Rips complexes on a metric space
Eliyahu Rips, Doron Witztum, Yoav Rosenberg, and Michael Drosnin, for their work on Bible codes. Rips, E. "Group actions on R-trees". Preprint. Rips, E. (1982)
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The Delaunay-Rips filtration is a lighter and faster alternative to the well-known Rips filtration for low-dimensional Euclidean point clouds. Despite these advantages, it has seldom been studied. In this paper, we aim to bridge this gap by providing...
theory, the Rips machine is a method of studying the action of groups on R-trees. It was introduced in unpublished work of Eliyahu Rips in about 1991
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Selective Rips complexes corresponding to a sequence of parameters are a generalization of Vietoris-Rips complexes utilizing the idea of thin simplices. We prove that if a metric space $Y$ is close (in Gromov-Hausdorff distance) to a closed Riemannia...
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We introduce a flexible, categorical framework for large-scale geometry that clarifies basic behaviour of the metric Rips filtration and streamlines some constructions in geometric group theory. The paper has two main parts. First, we develop the the...
We study isometric actions of finitely presented groups on $\mathbb{R}$-trees. In this paper, we develop a relative version of the Rips machine to study $\textit{pairs}$ of such actions. An important example of a $\textit{pair}$ is a group action on...
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Rips complexes are important structures for analyzing topological features of metric spaces. Unfortunately, generating these complexes constitutes an expensive task because of a combinatorial explosion in the complex size. For $n$ points in $\mathbb{...
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The long computational time and large memory requirements for computing Vietoris Rips persistent homology from point clouds remains a significant deterrent to its application to big data. This paper aims to reduce the memory footprint of these comput...
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