Results 1 to 10 of about 52,327 (248)
The persistent homology of genealogical networks [PDF]
Applied Network Science, 2023 Genealogical networks (i.e. family trees) are of growing interest, with the largest known data sets now including well over one billion individuals. Interest in family history also supports an 8.5 billion dollar industry whose size is projected to double
Zachary M. Boyd +6 more
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Persistent homology classification algorithm [PDF]
PeerJ Computer Science, 2023 Data classification is an important aspect of machine learning, as it is utilized to solve issues in a wide variety of contexts. There are numerous classifiers, but there is no single best-performing classifier for all types of data, as the no free lunch
Mark Lexter D. De Lara
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The persistent homology of mitochondrial ATP synthases [PDF]
iScience, 2023 Summary: Relatively little is known about ATP synthase structure in protists, and the investigated ones exhibit divergent structures distinct from yeast or animals.
Savar D. Sinha, Jeremy G. Wideman
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Weighted persistent homology [PDF]
Rocky Mountain Journal of Mathematics, 2018 In this paper we develop the theory of weighted persistent homology. In 1990, Robert J. Dawson was the first to study in depth the homology of weighted simplicial complexes. We generalize the definitions of weighted simplicial complex and the homology of weighted simplicial complex to allow weights in an integral domain $R$. Then we study the resulting
Chengyuan Wu, Jie Wu
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Predicting Affinity Through Homology (PATH): Interpretable binding affinity prediction with persistent homology. [PDF]
PLoS Computational BiologyAccurate binding affinity prediction (BAP) is crucial to structure-based drug design. We present PATH+, a novel, generalizable machine learning algorithm for BAP that exploits recent advances in computational topology.
Yuxi Long, Bruce R Donald
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Automatic epileptic seizure detection based on persistent homology [PDF]
Frontiers in Physiology, 2023 Epilepsy is a prevalent brain disease, which is quite difficult-to-treat or cure. This study developed a novel automatic seizure detection method based on the persistent homology method.
Ziyu Wang +7 more
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Probing omics data via harmonic persistent homology [PDF]
Scientific ReportsIdentifying molecular signatures from complex disease patients with underlying symptomatic similarities is a significant challenge in the analysis of high-dimensional multi-omics data.
Davide Gurnari +5 more
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Stratifying Multiparameter Persistent Homology [PDF]
SIAM Journal on Applied Algebra and Geometry, 2019 Minor improvements throughout. In particular: we extended the introduction, added Table 1, which gives a dictionary between terms used in PH and commutative algebra; we streamlined Section 3; we added Proposition 4.49 about the information captured by the cp-rank; we moved the code from the appendix to github.
Ulrike Tillmann +2 more
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Computing Persistent Homology of Directed Flag Complexes
Algorithms, 2020 We present a new computing package Flagser, designed to construct the directed flag complex of a finite directed graph, and compute persistent homology for flexibly defined filtrations on the graph and the resulting complex.
Ran Levi, Jason P Smith, Dejan Govc
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