Learning strange attractors with reservoir systems

• Main Authors: Grigoryeva, Lyudmila, Hart, Allen, Ortega, Juan-Pablo
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Dynamical Systems; Reservoir Computing
• Online Access: https://hdl.handle.net/10356/170965
• Institution: Nanyang Technological University

This paper shows 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 spa...