Population loss in shallow ReLU networks: Bias & families of critical points

arXiv:2609.30661 · cs.LG · Submitted 2026-09-25 · Read on arXiv

cs.LG

Submitted: 2026-09-25

Updated: 2026-09-25

Code: https://github.com/ItaySafran/OneLayerGDconvergence

Terminology

• Symmetry Breaking — 10× in this paper · explained in 3 episodes
• Activation Function — 3× in this paper · explained in 1 episode
• Consistency — 2× in this paper · explained in 3 episodes
• Loss Function — 2× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• On the Principle of Least Symmetry Breaking in Shallow ReLU Models
• Symmetry & critical points for a model shallow neural network
• The Bivariate Normal Integral via Owen's T Function as a Modified Euler's Arctangent Series
• When Are Bias-Free ReLU Networks Effectively Linear Networks?

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