10 papers
Understanding Task Performance of Time-Multiplexed Optical Reservoir Computing via Polynomial Expansion
Elias R. Koch, Julien Javaloyes, Svetlana V. Gurevich +1
We investigate the computational potential and limitations of a passive linear optical reservoir with a photodetector at the optical-to-electrical interface as the sole source of n…
Prediction performance of random reservoirs with different topology for nonlinear dynamical systems with different number of degrees of freedom
Shailendra K. Rathor, Lina Jaurigue, Martin Ziegler +1
Reservoir computing (RC) is a powerful framework for predicting nonlinear dynamical systems, yet the role of reservoir topologyparticularly symmetry in connectivity and weights$…
From Krylov Complexity to Observability: Capturing Phase Space Dimension with Applications in Quantum Reservoir Computing
Saud Äindrak, Kathy Lüdge, Lina Jaurigue
We demonstrate that time-evolved operators can construct a Krylov space to compute Operator complexity and introduce Krylov observability as a measure of effective phase space dime…
Engineering Quantum Reservoirs through Krylov Complexity, Expressivity and Observability
Saud Äindrak, Lina Jaurigue, Kathy Lüdge
This study employs Krylov-based information measures to understand task performance in quantum reservoir computing, a sub-field of quantum machine learning. In our study we show th…
Data-Driven Performance Measures using Global Properties of Attractors for Black-Box Surrogate Models of Chaotic Systems
Luci Fumagalli, Kathy Lüdge, Jana de Wiljes +2
In climate systems, physiological models, optics, and many more, surrogate models are developed to reconstruct chaotic dynamical systems. We introduce four data-driven measures usi…
Influence of noise-induced modulations on the timing stability of passively mode-locked semiconductor laser subject to optical feedback
Lina Jaurigue, Kathy Lüdge
We show that passively mode-locked lasers subject to feedback from a single external cavity can exhibit large timing fluctuations on short time scales despite having a relatively s…