Identifying nonlinear dynamical systems with multiple time scales and long-range dependencies

no code implementations • ICLR 2021 • Dominik Schmidt, Georgia Koppe, Zahra Monfared, Max Beutelspacher, Daniel Durstewitz

A main theoretical interest in biology and physics is to identify the nonlinear dynamical system (DS) that generated observed time series.

Time Series Time Series Analysis

Inferring Dynamical Systems with Long-Range Dependencies through Line Attractor Regularization

no code implementations • 25 Sep 2019 • Dominik Schmidt, Georgia Koppe, Max Beutelspacher, Daniel Durstewitz

Vanilla RNN with ReLU activation have a simple structure that is amenable to systematic dynamical systems analysis and interpretation, but they suffer from the exploding vs. vanishing gradients problem.