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DY: Fachverband Dynamik und Statistische Physik

DY 49: Focus Session: Computing with Dynamical Systems: New Perspectives on Reservoirs and Applications II – Applications and Quantum RC

DY 49.5: Talk

Thursday, March 21, 2024, 16:15–16:30, BH-N 243

Reservoir computing of thermal convection: Random versus small-world networks — •Shailendra Kumar Rathor, Martin Ziegler, and Jörg Schumacher — Technische Universität Ilmenau, Germany

We study a classical two-dimensional thermal convection flow at a low Rayleigh number which is represented by an energy-conserving Lorenz-type model with eight degrees of freedom. This model accounts for the shear motion and tilted plumes in the flow. We employ a recurrent machine learning approach in the form of a reservoir computing model and test different reservoir architectures. In detail, small-world network architectures with different rewiring probabilities are compared with conventional random network topology. It is found that similar prediction capabilities are obtained on the basis of the mean squared error or the prediction horizon.

Keywords: Reservoir; Computing; Small-world; Dynamical; Convection