Results 71 to 80 of about 1,043,448 (307)

PhoGAD: Graph-based Anomaly Behavior Detection with Persistent Homology Optimization [PDF]

Web Search and Data Mining
A multitude of toxic online behaviors, ranging from network attacks to anonymous traffic and spam, have severely disrupted the smooth operation of networks.
Ziqi Yuan, Haoyi Zhou, Tianyu Chen, Jianxin Li   +3 more
semanticscholar   +1 more source

Persistence homology of entangled rings [PDF]

Physical Review Research, 2020
Accepted for publication in Physical Review Research.
Fabio Landuzzi, Takenobu Nakamura, Davide Michieletto, Takahiro Sakaue   +3 more
openaire   +4 more sources

Euler Integration of Gaussian Random Fields and Persistent Homology

, 2011
In this paper we extend the notion of the Euler characteristic to persistent homology and give the relationship between the Euler integral of a function and the Euler characteristic of the function's persistent homology.
Adler R. J, Adler R. J., Hatcher A., MATTHEW STROM BORMAN, OMER BOBROWSKI   +4 more
core   +1 more source

Implementation of Persistent Homology in Survival Analysis for Correlated and Longitudinal Data: A case study of COVID-19 Spread in Indonesia [PDF]

ITM Web of Conferences
Most survival models assume no autocorrelation between objects and time-independence. However, in many cases of disease spread, an object can potentially affect its neighbors, and the feature may change over time.
Amartiwi Utih, Kholodov Yaroslav A.
doaj   +1 more source

Persistent homology of collider observations: When (w)hole matters

Physics Letters B, 2023
Topological invariants have played a fundamental role in the advancement of theoretical high energy physics. Physicists have used several kinematic techniques to distinguish new physics predictions from the Standard Model (SM) of particle physics at ...
Jyotiranjan Beuria
doaj   +1 more source

Characterising epithelial tissues using persistent entropy [PDF]

, 2019
In this paper, we apply persistent entropy, a novel topological statis- tic, for characterization of images of epithelial tissues. We have found out that persistent entropy is able to summarize topological and geomet- ric information encoded by ...
Atienza Martínez, María Nieves, Escudero Cuadrado, Luis María, Jiménez Rodríguez, María José, Soriano Trigueros, Manuel   +3 more
core   +1 more source

Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors

Proceedings of the National Academy of Sciences of the United States of America, 2021
Significance Quantifying and comparing complex spatial biological datasets is crucial for medical applications and remains an active area of research. As datasets become more heterogeneous and complicated, so must the methods that are used to understand ...
Oliver Vipond, J. Bull, P. Macklin, U. Tillmann, C. Pugh, H. Byrne, H. Harrington   +6 more
semanticscholar   +1 more source

Harmonic Persistent Homology

SIAM Journal on Applied Algebra and Geometry
Final ...
Saugata Basu, Nathanael Cox
openaire   +2 more sources

Parametrized homology via zigzag persistence [PDF]

Algebraic & Geometric Topology, 2019
This paper develops the idea of homology for 1-parameter families of topological spaces. We express parametrized homology as a collection of real intervals with each corresponding to a homological feature supported over that interval or, equivalently, as a persistence diagram.
Carlsson, Gunnar, de Silva, Vin, Kališnik, Sara, Morozov, Dmitriy   +3 more
openaire   +5 more sources

Default Mode Network Analysis of APOE Genotype in Cognitively Unimpaired Subjects Based on Persistent Homology

Frontiers in Aging Neuroscience, 2020
Current researches on default mode network (DMN) in normal elderly have mainly focused on finding some dysfunctional areas with decreased or increased connectivity. The global network dynamics of apolipoprotein E (APOE) e4 allele group is rarely studied.
Liqun Kuang, Jiaying Jia, Deyu Zhao, Fengguang Xiong, Xie Han, Yalin Wang, for the Alzheimer’s Disease Neuroimaging Initiative   +6 more
doaj   +1 more source