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20232026
most citedOn the importance of learning non-local dynamics for stable data-driven climate modeling: A 1D gravity wave-QBO testbed

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math.OC2026

The Non-Linearity Perturbation Threshold: Width Scaling and Landscape Bifurcations in Deep Learning

Michael Alexander

We study how the optimization landscape of a neural network deforms as a non-linear activation is introduced through a smooth homotopy. Working first in an abstract local setting -…