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Paper · arXiv

Scalar Representations of Neural Network Training Dynamics

Training in artificial neural networks can be viewed as a trajectory evolving through a high-dimensional loss landscape. However, the large number of trainable parameters makes the direct analysis of these dynamics challenging. In this work, we treat such training trajectories as temporal networks and apply recently proposed strategies for the scalar embedding of temporal networks. We investigate whether such a scalar embedding provides a meaningful low-dimensional representation of neural network training dynamics. Using a multilayer perceptron trained on the MNIST classification task, we show that the embedding preserves the main dynamical features observed in the original parameter spa...

AuthorsPedro Jiménez-González, Miguel C. Soriano, Lucas Lacasa
Primary categorycs.LG
Published29 June 2026
Last updated at source29 June 2026
cs.LGcond-mat.dis-nnnlin.CDphysics.data-an
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