SAD Neural Networks: Divergent Gradient Flows and Asymptotic Optimality via o-minimal Structures

arXiv — cs.LGMonday, October 27, 2025 at 4:00:00 AM
A recent study on gradient flows in neural networks reveals that these flows either converge to critical points or diverge to infinity, with the loss approaching a critical value. This research is significant as it enhances our understanding of how different activation functions, like logistic and GELU, influence the behavior of neural networks, which is crucial for optimizing their performance in various applications.
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