About the Workshop
We will explore the concept of complexity from definitions and mathematical foundations to computationally practical approximations applicable to research at RITMO. We will focus on discussing applications to biosignals, motion data, and dynamics in collective systems.
Program
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10:15 - 10:20 |
H?ffding/Glette |
Intro |
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10:20 - 11:00 |
Fernando Rosas (Imperial College) |
Complexity analysis in time series data |
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11:00 - 11:15 |
Coffee break |
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11:15 - 12:15 |
RITMO researchers |
Research topics related to or requesting input on complexity analysis (around 15 min each): |
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Julian Fuhrer & Alejandro Blenkmann |
Measuring complexity of iEEG responses |
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Victor Sanchez |
Complexity and fractal organization of human movement |
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Olivier Lartillot |
Complexity in musical scores |
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12:15 - 13:00 |
Lunch |
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13:00 - 13:30 |
Fernando Rosas |
Complexity as complicatedness, Lempel-Ziv methods, IIT |
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13:30 - 15:00 |
All |
Discussions |
Abstract
Fernando Rosas: Complexity analysis in time series data
Complexity has many faces and interpretations; two interesting ones are "how hard is something to be described" and "how intertwined are the parts together." We will discuss various information-theoretic approaches to assess both aspects, with a particular emphasis in brain data. For the former category, our favourite measure is Shannon's entropy rate, and estimators based in either compression (Lempel-Ziv algorithm, Context Tree Weighting) and state-space approaches. For the latter, we will consider Granger Causality and Transfer Entropy, IIT (versions 0.1 and 2.0), and recent novel approaches based on Partial Information Decomposition.