Topological Signal Processing using the Weighted Ordinal Partition Network. (arXiv:2205.08349v2 [stat.ML] UPDATED)

One of the most important problems arising in time series analysis is that of
bifurcation, or change point detection. That is, given a collection of time
series over a varying parameter, when has the structure of the underlying
dynamical system changed? For this task, we turn to the field of topological
data analysis (TDA), which encodes information about the shape and structure of
data. The idea of utilizing tools from TDA for signal processing tasks, known
as topological signal processing …

arxiv ml network ordinal processing signal