Identifying Ordinal Similarities at Different Temporal Scales

Luciano Zunino, Xavier Porte, Miguel C Soriano, José María Amigó, Fernando Montani · 2024

Read Identifying Ordinal Similarities at Different Temporal Scales by Luciano Zunino, Xavier Porte, Miguel C Soriano, José María Amigó, Fernando Montani (2024) in the Tower of Babel, a free online library of public-domain works preserved in clean, searchable text. No sign-up. The full text is served as a plain-text file at a predictable URL, where text is present: https://antarctic-labs.com/tower-of-babel/pmc-11727087.txt.

Description

Luciano Zunino and co-authors present a way to compare time series by their patterns in a 2024 paper. Many signals, from lasers to brain waves, are too messy to compare value by value. A plainer question often matters more: do two signals rise and fall in the same ordinal pattern, and at what time scale?

The method turns each series into a sequence of up-down patterns, then measures the distance between pattern statistics across scales. Controlled tests with known signals confirmed the measure finds the scales where two series truly match. The team then tried it on a complex photonic system, a real device with chaotic light output, and the method pinpointed matching scales there too. The authors expect wide use, since pattern-level similarity is robust to noise that defeats direct comparisons. It is a lens for asking when two rhythms behave alike.

Catalog record

CREATORLuciano Zunino, Xavier Porte, Miguel C Soriano, José María Amigó, Fernando Montani
YEAR2024
COLLECTIONPAPERS
FORMATTXT
FILE SIZE32 KB
VERSION1.0
LICENSECC BY 4.0
RIGHTSCC BY
SOURCEEurope PMC

Source: https://europepmc.org/articles/PMC11727087

Browse the full library · About the Tower of Babel