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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Probing omics data via harmonic persistent homology [PDF]
Scientific Reports, 2023 Identifying 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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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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Relational Persistent Homology for Multispecies Data with Application to the Tumor Microenvironment. [PDF]
Bull Math Biol, 2023 Topological data analysis (TDA) is an active field of mathematics for quantifying shape in complex data. Standard methods in TDA such as persistent homology (PH) are typically focused on the analysis of data consisting of a single entity (e.g., cells or ...
Stolz BJ +5 more
europepmc +3 more sources
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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The fiber of persistent homology for trees. [PDF]
J Appl Comput Topol, 2023 Consider the space of continuous functions on a geometric tree X whose persistent homology gives rise to a finite generic barcode D. We show that there are exactly as many path connected components in this space as there are merge trees whose barcode is ...
Beers D, Leygonie J.
europepmc +2 more sources
Leveraging Persistent Homology Features for Accurate Defect Formation Energy Predictions via Graph Neural Networks. [PDF]
Chem MaterIn machine-learning-assisted high-throughput defect studies, a defect-aware latent representation of the supercell structure is crucial for the accurate prediction of defect properties.
Fang Z, Yan Q.
europepmc +3 more sources
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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Persistent homology for MCI classification: a comparative analysis between graph and Vietoris-Rips filtrations. [PDF]
Front NeurosciIntroduction Mild cognitive impairment (MCI), often linked to early neurodegeneration, is associated with subtle disruptions in brain connectivity.
Bhattacharya D +4 more
europepmc +3 more sources
Persistent homology analysis distinguishes pathological bone microstructure in non-linear microscopy images. [PDF]
Sci Rep, 2023 We present a topological method for the detection and quantification of bone microstructure from non-linear microscopy images. Specifically, we analyse second harmonic generation (SHG) and two photon excited autofluorescence (TPaF) images of bone tissue ...
Pritchard Y +5 more
europepmc +2 more sources