Results 31 to 40 of about 54,259 (246)
Distributed Computation of Persistent Homology [PDF]
, 2013 Persistent homology is a popular and powerful tool for capturing topological features of data. Advances in algorithms for computing persistent homology have reduced the computation time drastically -- as long as the algorithm does not exhaust the available memory.
Ulrich Bauer +2 more
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Stable volumes for persistent homology
Journal of Applied and Computational Topology, 2023 AbstractThis paper proposes a stable volume and a stable volume variant, referred to as a stable sub-volume, for more reliable data analysis using persistent homology. In prior research, an optimal cycle and similar ideas have been proposed to identify the homological structure corresponding to each birth-death pair in a persistence diagram. While this
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Computing persistent homology in Futhark
, 2021 We present a massively parallel algorithm for computing persistent homology, a concept within the field of topological data analysis, and we implement it in the purely functional array-based language Futhark, which has an efficient compiler targeting ...
Erik von Brömssen +2 more
core +1 more source
The Persistent Homology of a Self-Map [PDF]
Foundations of Computational Mathematics, 2014 The main result in this paper is the construction of an algorithm that takes a simplicial self map of a topological space and derives a persistent homology associated to the self map. The persistent homology is obtained as a tower of eigenspaces given by the homology of the chain maps induced by the self map.
Herbert Edelsbrunner +2 more
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Object-oriented persistent homology [PDF]
Journal of Computational Physics, 2016 Persistent homology provides a new approach for the topological simplification of big data via measuring the life time of intrinsic topological features in a filtration process and has found its success in scientific and engineering applications. However, such a success is essentially limited to qualitative data classification and analysis.
Bao Wang 0001, Guo-Wei Wei 0001
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Persistent homology across signatures.
, 2021 Persistent homology across signatures.
Steven Latré (11478193) +3 more
core +1 more source
A Bayesian Framework for Persistent Homology
SIAM Journal on Mathematics of Data Science, 2020 Persistence diagrams offer a way to summarize topological and geometric properties latent in datasets. While several methods have been developed that utilize persistence diagrams in statistical inference, a full Bayesian treatment remains absent. This paper, relying on the theory of point processes, presents a Bayesian framework for inference with ...
Vasileios Maroulas +2 more
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Calpain small subunit homodimerization is robust and calcium‐independent
FEBS Letters, EarlyView.Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
wiley +1 more source
Persistent Homology for Virtual Screening
, 2018 Finding new medicines is one of the most important tasks of pharmaceutical companies. One of the best approaches to finding a new drug starts with answering this simple question: Given a known effective drug X, what are the top 100 molecules in our ...
Theodore L. Willke (5633319) +5 more
core +1 more source
FEBS Letters, EarlyView.Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
wiley +1 more source