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Lucas Lacasa

2 papers indexed

arxivcs.LGcond-mat.dis-nnnlin.CDphysics.data-an2026-06-29

Scalar Representations of Neural Network Training Dynamics

Pedro Jiménez-González, Miguel C. Soriano, Lucas Lacasa

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…

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arxivcs.LGphysics.data-anphysics.flu-dyn2026-06-25

Kolmogorov Arnold networks (KAN) for aerodynamic prediction: a comparison with MLPs and GNNs

Miguel Jaraiz, Fermin Gutierrez, Pablo Yeste, Miguel Sánchez-Domínguez, Eusebio Valero, Gonzalo Rubio, et al.

Kolmogorov Arnold networks (KAN) have recently been introduced as a (deep) neural network architecture whose trainable parameters adapt the activation functions, instead of the coefficients of the affine transformations at the core of traditional architectures such as deep multil…

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