Results 1 to 10 of about 52,991 (111)

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
doaj   +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, Nick Callor, Taylor Gledhill, Abigail Jenkins, Robert Snellman, Benjamin Webb, Raelynn Wonnacott   +6 more
doaj   +2 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
doaj   +2 more sources

Predicting Affinity Through Homology (PATH): Interpretable binding affinity prediction with persistent homology. [PDF]

PLoS Computational Biology
Accurate 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
doaj   +2 more sources

Probing omics data via harmonic persistent homology [PDF]

Scientific Reports
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, Aldo Guzmán-Sáenz, Filippo Utro, Aritra Bose, Saugata Basu, Laxmi Parida   +5 more
doaj   +2 more sources

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, Feifei Liu, Shuhua Shi, Shengxiang Xia, Fulai Peng, Lin Wang, Sen Ai, Zheng Xu   +7 more
doaj   +2 more sources

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 Smith, Dejan Govc
exaly   +3 more sources

A Spatiotemporal Brain Network Analysis of Alzheimer’s Disease Based on Persistent Homology [PDF]

Frontiers in Aging Neuroscience, 2022
Current brain network studies based on persistent homology mainly focus on the spatial evolution over multiple spatial scales, and there is little research on the evolution of a spatiotemporal brain network of Alzheimer’s disease (AD).
Jiacheng Xing, Jiacheng Xing, Jiaying Jia, Xin Wu, Liqun Kuang   +4 more
doaj   +2 more sources

Persistent Homology Combined with Machine Learning for Social Network Activity Analysis [PDF]

Entropy
Currently, the rapid development of social media enables people to communicate more and more frequently in the network. Classifying user activities in social networks helps to better understand user behavior in social networks.
Zhijian Zhang, Yuqing Sun, Yayun Liu, Lin Jiang, Zhengmi Li   +4 more
doaj   +2 more sources

A review of some properties of persistent homology

Desimal, 2023
Every day, enormous complex geometric data are accumulating rapidly, and qualitative analysis is needed, which cannot be done properly without studying the shapes of those data.
Md. Safik Ullah, Mst. Sima Akhter Mou, Md. Morshed Bin Shiraj, Md. Mizanur Rahman, Md. Masum Murshed, Nasima Akhter   +5 more
doaj   +1 more source