Results 81 to 90 of about 1,043,448 (307)
Journal of Applied and Computational Topology17 pages, 4 ...
Bernardo Ameneyro +2 more
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Fast computation of persistent homology representatives with involuted persistent homology
Foundations of Data Science, 2023 Persistent homology is typically computed through persistent cohomology. While this generally improves the running time significantly, it does not facilitate extraction of homology representatives. The mentioned representatives are geometric manifestations of the corresponding holes and often carry desirable information.
Čufar, Matija, Virk, Žiga
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Molecular bases of circadian magnesium rhythms across eukaryotes
FEBS Letters, EarlyView.Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley +1 more source
SN Computer Science, 2023 In this work, we present a combination of dimension reduction techniques and persistent homology for detection of epileptic events in electroencephalograms for a special kind of epilepsy called petit-mal epilepsy.
Martina Flammer
semanticscholar +1 more source
Peptide‐based ligand antagonists block a Vibrio cholerae adhesin
FEBS Letters, EarlyView.The structure of a peptide‐binding domain of the Vibrio cholerae adhesin FrhA was solved by X‐ray crystallography, revealing how the inhibitory peptide AGYTD binds tightly at its Ca2+‐coordinated pocket. Structure‐guided design incorporating D‐amino acids enhanced binding affinity, providing a foundation for developing anti‐adhesion therapeutics ...
Mingyu Wang +9 more
wiley +1 more source
Investigating rough single-fracture permeabilities with persistent homology [PDF]
Solid EarthThe permeability of rock fractures is a crucial parameter for flow processes in the subsurface. In the last few decades, different methods were developed to investigate on permeability in fractures, such as flow-through experiments, numerical flow ...
M. Fuchs, A. Suzuki, T. Hasumi, P. Blum
doaj +1 more source
Cluster Persistence for Weighted Graphs
Entropy, 2023 Persistent homology is a natural tool for probing the topological characteristics of weighted graphs, essentially focusing on their 0-dimensional homology.
Omer Bobrowski, Primoz Skraba
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A statistical approach to persistent homology
, 2007 Assume that a finite set of points is randomly sampled from a subspace of a metric space. Recent advances in computational topology have provided several approaches to recovering the geometric and topological properties of the underlying space.
Om Samples +6 more
core +4 more sources
A Survey on the High-Performance Computation of Persistent Homology
IEEE Transactions on Knowledge and Data Engineering, 2023 Persistent Homology is a computational method of data mining in the field of Topological Data Analysis. Large-scale data analysis with persistent homology is computationally expensive and memory intensive.
Nicholas O. Malott +2 more
semanticscholar +1 more source
Homological properties of persistent homology
Journal of Algebra and Its ApplicationsIn this paper, we investigate to what extent persistent homology benefits from the properties of a homology theory. We show that persistent homology benefits from a Mayer–Vietoris sequence and a long exact sequence for a pair if one works with graded persistence modules.
Hani̇fe Varlı +2 more
openaire +4 more sources