AUTHOR=Bai Xiaotian , Yu Chaojun , Zhai Jian TITLE=Topological data analysis of the firings of a network of stochastic spiking neurons JOURNAL=Frontiers in Neural Circuits VOLUME=17 YEAR=2024 URL=https://www.frontiersin.org/journals/neural-circuits/articles/10.3389/fncir.2023.1308629 DOI=10.3389/fncir.2023.1308629 ISSN=1662-5110 ABSTRACT=

Topological data analysis is becoming more and more popular in recent years. It has found various applications in many different fields, for its convenience in analyzing and understanding the structure and dynamic of complex systems. We used topological data analysis to analyze the firings of a network of stochastic spiking neurons, which can be in a sub-critical, critical, or super-critical state depending on the value of the control parameter. We calculated several topological features regarding Betti curves and then analyzed the behaviors of these features, using them as inputs for machine learning to discriminate the three states of the network.