[PDF][PDF] A roadmap for the computation of persistent homology
Persistent homology (PH) is a method used in topological data analysis (TDA) to study
qualitative features of data that persist across multiple scales. It is robust to perturbations of …
qualitative features of data that persist across multiple scales. It is robust to perturbations of …
[HTML][HTML] Topological analysis of data
Propelled by a fast evolving landscape of techniques and datasets, data science is growing
rapidly. Against this background, topological data analysis (TDA) has carved itself a niche …
rapidly. Against this background, topological data analysis (TDA) has carved itself a niche …
Topological recognition of critical transitions in time series of cryptocurrencies
We analyze four major cryptocurrencies (Bitcoin, Ethereum, Litecoin, and Ripple) before the
digital asset market crash at the beginning of 2018. We also analyze Bitcoin before some of …
digital asset market crash at the beginning of 2018. We also analyze Bitcoin before some of …
Capturing dynamics of time-varying data via topology
One approach to understanding complex data is to study its shape through the lens of
algebraic topology. While the early development of topological data analysis focused …
algebraic topology. While the early development of topological data analysis focused …
Using persistent homology as preprocessing of early warning signals for critical transition in flood
Flood early warning systems (FLEWSs) contribute remarkably to reducing economic and life
losses during a flood. The theory of critical slowing down (CSD) has been successfully used …
losses during a flood. The theory of critical slowing down (CSD) has been successfully used …
[HTML][HTML] A nonparametric penalized likelihood approach to density estimation of space-time point patterns
In this work, we consider space-time point processes and study their continuous space-time
evolution. We propose an innovative nonparametric methodology to estimate the unknown …
evolution. We propose an innovative nonparametric methodology to estimate the unknown …
Hybridization of hierarchical clustering with persistent homology in assessing haze episodes between air quality monitoring stations
NFS Zulkepli, MSM Noorani, FA Razak, M Ismail… - Journal of environmental …, 2022 - Elsevier
Haze has been a major issue afflicting Southeast Asian countries, including Malaysia, for the
past few decades. Hierarchical agglomerative cluster analysis (HACA) is commonly used to …
past few decades. Hierarchical agglomerative cluster analysis (HACA) is commonly used to …
Persistent homology: A topological tool for higher-interaction systems
The aim of this chapter is to give a handy but thorough introduction to persistent homology
and its applications. The chapter's path is made by the following steps. First, we deal with the …
and its applications. The chapter's path is made by the following steps. First, we deal with the …
Deep models of integrated multiscale molecular data decipher the endothelial cell response to ionizing radiation
I Morilla, P Chan, F Caffin, L Svilar, S Selbonne… - Iscience, 2022 - cell.com
The vascular endothelium is a hot spot in the response to radiation therapy for both tumors
and normal tissues. To improve patient outcomes, interpretable systemic hypotheses are …
and normal tissues. To improve patient outcomes, interpretable systemic hypotheses are …
Analysis of fibrin networks using topological data analysis–a feasibility study
Blood clot formation, a crucial process in hemostasis and thrombosis, has garnered
substantial attention for its implications in various medical conditions. Microscopic …
substantial attention for its implications in various medical conditions. Microscopic …