Discrete Morse theory is a versatile tool from combinatorial algebraic topology. In a nutshell, discrete Morse theory uses certain well-behaved functions, the so-called discrete Morse functions, from ...
Abstract: Merge trees are fundamental structures in topological data analysis. Interleaving distance is a widely accepted metric for comparing merge trees, with applications in visualization and ...
Engineering fundamentals aren’t just for computer science students. They pay huge dividends in both your systems’ service levels and your company’s balance sheet. As an industry, we’ve gotten good at ...
ABSTRACT: The advent of the internet, as we all know, has brought about a significant change in human interaction and business operations around the world; yet, this evolution has also been marked by ...
Abstract: In this paper, we present a novel heuristic algorithm for the stable but NP-complete deformation-based edit distance on merge trees. Our key contribution is the introduction of a ...
The AI search startup Perplexity just proposed a bid for acquiring (and transforming) TikTok, per a company blog post published Friday. “Perplexity is singularly positioned to rebuild the TikTok ...
WEST LAFAYETTE, Ind. — Trees compete for space as they grow. A tree with branches close to a wall will develop differently from one growing on open ground. Now everyone from urban planners and ...
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