ConceptSaddle Point
Saddle Point
A critical point at which the loss increases in some directions and decreases in others. Gradient flow can escape along directions of negative curvature, and saddle points are a principal obstacle in non-convex optimization.
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Oct 19
The result holds in a tangent linear-quadratic reduced framework near an active saddle point and extends to multiple constraints (under common modulation and isotropy conditions).
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Aug 22
在n维空间中，一个临界点成为局部极小值的概率约为(1/2)^n，因此现代大型网络的几乎所有临界点都是鞍点而非局部极小值
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