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Jing-Zhou Liu

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#artificial intelligence Preprint Oct 2026

A General Topological Symmetry Index for Critical Orbits In Neural Network Loss Landscapes

A systematic understanding of the global structure of neural-network loss landscapes remains challenging due to their high dimensionality. Symmetries arising from network architectures and learning objectives provide a way to investigate aspects of this structure. Although a growing number of studies have drawn attenti...

Jing-Zhou Liu · 0 citations

#machine learning Oct 2025

Nonlinear Dynamics In Optimization Landscape of Shallow Neural Networks with Tunable Leaky ReLU

It is shown that bifurcations are width-independent, arise only for nonnegative $\alpha$ and that the global minimum undergoes no further symmetry-breaking instability throughout the engineering regime $\alpha$ in range (0,1).

Jing-Zhou Liu · arXiv.org · 0 citations