Reduction to Zero Differentials Computer Science
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RedZeD: Computing persistent homology by Reduction to Zero Differentials
Computer Science > Computational Geometry [Submitted on 4 Jun 2026] Title:RedZeD: Computing persistent homology by Reduction to Zero Differentials View PDF HTML (experimental)Abstract:We introduce a new algorithm for computing persistent homology of Vietoris--Rips filtrations, which in many cases offers a considerable speedup over the existing implementation of the persistence pairing algorithm. The key innovation, called active enumeration, is made possible by a new theoretical framework of...
Learnable Token Sparsification for Efficient Gigapixel Whole Slide Image Reasoning
new Abstract: The processing of gigapixel whole slide images within vision language models faces a major difficulty due to an excessive number of visual tokens. Existing solutions typically rely on spatial downsampling or heuristic pruning strategies that operate without training, and these methods often discard subtle but clinically meaningful patterns because pathological evidence is scattered irregularly across the tissue. To overcome this limitation, we reformulate token reduction in...
Application of polynomial algebras to non-linear equation solvers
Announce Type: new Abstract: This paper presents a novel application of Jet Transport, a high-order automatic differentiation technique, to enhance classical numerical methods, with a focus on Newton's method. We prove a central theorem establishing that, under appropriate conditions, applying Jet Transport within a Newton iteration doubles the number of correct coefficients in the Taylor series approximation of the solution. This theoretical result is then extended to the practical case...