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Singular-limit analysis of gradient descent with noise injection
In this regime the set of global minimizers of the loss is large, and when initialized in a neighbourhood of this zero-loss set a noisy gradient descent algorithm slowly evolves along this set.
Tensorized Transformer for Dynamical Systems Modeling
The identification of nonlinear dynamics from observations is essential for the alignment of the theoretical ideas and experimental data.
Deep Representation Learning for Dynamical Systems Modeling
Proper states' representations are the key to the successful dynamics modeling of chaotic systems.
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