arXiv AI

From the Loss Landscape to Diverse Feature Learning in Neural Networks

Hugging Face Trending Papers
Oct 29

Mode Dynamics: A Framework for Neural Network Learning

Mode Dynamics is a framework that links coordinated parameter motion during neural network training to changes in model outputs. By decomposing recorded parameter trajectories into collective modes and mapping each mode to its state‑dependent output effect, the framework uses decomposition, reconstruction, and concentration mechanisms to analyze how behavior emerges from parameter updates. Experiments on CIFAR‑100 autoencoding and a Pythia‑70M pretraining trajectory show that a small set of leading modes can reconstruct behavior, that induced effects depend on the training path, and that modal complexity varies with task and data.

arXiv Statistics ML
Oct 26

Early learning in large residual networks

arXiv:2610.31783v1 Announce Type: new Abstract: We study the early training dynamics of nonlinear residual networks with blocks of zero hidden layers as a model of more general residual networks. We...

By Vladimir Narovlansky, Boris Hanin
arXiv Machine Learning
Sep 17

Beyond Quadratic Loss: The Stability Phase Diagram of Adam

The paper studies how Adam’s two momentum timescales, β1 and β3, influence loss spikes during neural‑network training. By mapping training dynamics across the (β1,β3) plane, the authors find an approximately linear boundary, 1-β3 = C(1-β1), that separates spiky from non‑spiky behavior, with the coefficient C linked to the effective loss exponent in superquadratic loss functions. They also show that confident cross‑entropy losses create a core–wall landscape that behaves superquadratically at the scale of an optimizer update, explaining the observed spikes.

By Gaoxiang Tang, Huanran Chen, Ziming Liu