Topological data analysis refers to approaches for systematically and reliably computing
abstract 'shapes' of complex data sets. There are various applications of topological data …

The study of phase transitions using data-driven approaches is challenging, especially
when little prior knowledge of the system is available. Topological data analysis is an …

We have applied a machine learning algorithm to predict the emergence of environment-
induced spontaneous synchronization between two qubits in an open system setting. In …

Suppose we are given a system of coupled oscillators on an unknown graph along with the
trajectory of the system during some period. Can we predict whether the system will …

A system of coupled oscillators on an arbitrary graph is locally driven by the tendency to
mutual synchronization between nearby oscillators, but can and often exhibit nonlinear …