Topology and machine learning are two actively researched topics not only in condensed matter physics, but also data science. Here, we propose the use of topological analysis unsupervised phase diagrams. This is possible because quantum distance can capture shape space formed by Bloch wavefunctions as sweep over Brillouin zone. Therefore, if minimize volume wavefunction through a continuous def...

conclusions our results revealed the possible crucial genes and mirnas involved in the initiation and progression of hcc cells infected with hcv. results based on the topological analysis of mirna-hubgene network, we identified the key hub mirnas. in order to identify the most important common sub-network, we aligned two ppi networks using netal tool. the c-jun gene was identified as the most i...

In this chapter, we discuss applications of topological data analysis (TDA) to spatial systems. We briefly review a recently proposed level-set construction filtered simplicial complexes, and then examine persistent homology in two cases studies: street networks Shanghai anomalies the spread COVID-19 infections. summarize our results provide an outlook on TDA