PhiMac Seminar – Juan-Pablo Ortega – Generalized synchronizations with reservoir systems
Mar 17, 2023
9:00AM to 10:00AM
Date(s) - 17/03/2023
9:00 am - 10:00 am
Speaker: Juan-Pablo Ortega, NTU
Title: Generalized synchronizations with reservoir systems
Abstract: In this talk, we show that that the celebrated Embedding Theorem of Takens is a particular case of a much more general statement according to which, randomly generated linear state-space representations of generic observations of an invertible dynamical system carry in their wake an embedding of the phase space dynamics into the chosen Euclidean state space. This embedding coincides with a natural generalized synchronization that arises in this setup and that yields a topological conjugacy between the state-space dynamics driven by the generic observations of the dynamical system and the dynamical system itself. This result provides additional tools for the representation, learning, and analysis of chaotic attractors and sheds additional light on the reservoir computing phenomenon that appears in the context of recurrent neural networks. This work is a collaboration with Lyudmila Grigoryeva (St. Gallen) and Allen Hart (Bath).
Location: Zoom Meeting: https://mcmaster.zoom.us/j/96183872102?pwd=OWUxbVpRdG5SUnBkV0hRVHkzVDJIUT09
Please note the different time for this seminar.