ICODE, a control-affine neural ODE that feeds external inputs directly into the dynamics, predicts trajectories better than NODE, ANODE, and CDE on simulated physical benchmarks, but its contraction guarantee is not enforced or verified.
Neurobiological models of two-choice decision making can be reduced to a one-dimensional nonlinear diffusion equation,
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ICODE: Modeling Dynamical Systems with Extrinsic Input Information
ICODE, a control-affine neural ODE that feeds external inputs directly into the dynamics, predicts trajectories better than NODE, ANODE, and CDE on simulated physical benchmarks, but its contraction guarantee is not enforced or verified.