Visiting Professor Lecture - December 4, 2014
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"Persistent Homology of Time-Delay Embeddings"
Persistent homology is a topological method for measuring the shapes of
spaces and features of functions. Perea will analyze the geometry and
topology of time-delay embeddings through the lens of persistent
homology. He will discuss maximum persistence as a measure of
periodicity at the signal level, present structural theorems for the resulting
diagrams, and derive estimates for their dependency on the window size
and embedding dimension.