arXiv Machine Learning By Santiago Florido Gomez, St\'ephane Rivaud

CAGE-NAS: Certified Functional Descent for Efficient Model Growth

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CAGE-NAS introduces a method for deciding when to grow a neural network by evaluating an admissibility criterion on approximations of the functional gradient. If the current architecture allows a certified Functional Gradient Descent step, it remains unchanged; otherwise, a function-preserving expansion is performed and re-evaluated. Using a tangent-space-based instance with regularized projection, the approach achieves architectures that rank above the 99.8th percentile in held‑out RMSE among all admissible alternatives within the same parameter budget, without enumerating them during growth.

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arXiv Machine Learning
Jun 16

Functional Gradient Descent with Adaptive Representations

arXiv:2606. 16926v1 Announce Type: cross Abstract: Functional optimization problems are typically solved by optimizing the parameters of a fixed representation, such as a neural network, resulting in highly nonconvex losses that complicate both training and theoretical analysis.

By Daniel Csillag, Rodrigo Schuller, Pedro Dall'Antonia, Leonidas Guibas, Luiz Velho, Tiago Novello