Damek Davis on X: "Gradient descent doesn't avoid saddle points of C^1 smooth functions. Random initialization doesn't help. If you start in the crevice, you stay in the crevice. You need C^2
![Figure 2 from Identifying and attacking the saddle point problem in high-dimensional non-convex optimization | Semantic Scholar Figure 2 from Identifying and attacking the saddle point problem in high-dimensional non-convex optimization | Semantic Scholar](https://d3i71xaburhd42.cloudfront.net/981ce6b655cc06416ff6bf7fac8c6c2076fd7fac/4-Figure2-1.png)
Figure 2 from Identifying and attacking the saddle point problem in high-dimensional non-convex optimization | Semantic Scholar
![optimization - Oscillating around the saddle point in gradient descent? - Artificial Intelligence Stack Exchange optimization - Oscillating around the saddle point in gradient descent? - Artificial Intelligence Stack Exchange](https://i.stack.imgur.com/NyXTy.png)
optimization - Oscillating around the saddle point in gradient descent? - Artificial Intelligence Stack Exchange
![Gabriel Peyré on X: "Gradient descent is inefficient to find saddle point (Nash equilibrium) for min-max games, because of spiralling behaviour. Beware when training your GANs … https://t.co/KKKGQ4q9JA https://t.co/xjgLuUHPMU https://t.co/hYYH0xWUXP" / X Gabriel Peyré on X: "Gradient descent is inefficient to find saddle point (Nash equilibrium) for min-max games, because of spiralling behaviour. Beware when training your GANs … https://t.co/KKKGQ4q9JA https://t.co/xjgLuUHPMU https://t.co/hYYH0xWUXP" / X](https://pbs.twimg.com/media/DVqXjvFW0AAc3EU.jpg:large)
Gabriel Peyré on X: "Gradient descent is inefficient to find saddle point (Nash equilibrium) for min-max games, because of spiralling behaviour. Beware when training your GANs … https://t.co/KKKGQ4q9JA https://t.co/xjgLuUHPMU https://t.co/hYYH0xWUXP" / X
![The journey of Gradient Descent — From Local to Global | by Pradyumna Yadav | Analytics Vidhya | Medium The journey of Gradient Descent — From Local to Global | by Pradyumna Yadav | Analytics Vidhya | Medium](https://miro.medium.com/v2/resize:fit:1400/1*ZC9qItK9wI0F6BwSVYMQGg.png)