神经正切核(NTK)背后的数学原理
Lilian Weng 在 Lil'Log 发文深入解析神经正切核(NTK)的数学原理。NTK 由 Jacot 等人于 2018 年提出,用于解释神经网络在梯度下降训练中的演化过程,并揭示足够宽的神经网络为何能稳定收敛到全局最小值。文章重点推导了无限宽神经网络在不同初始化下 NTK 的确定性收敛证明。
mmend this post for more discussion on linearized models and lazy training. Cited as: Weng, Lilian. (Sep 2022). Some math behind neural tangent kernel. Lil’Log. https://lilianweng.github.io/posts/2022-09-08-ntk/. Or [1] Jacot et al. “Neural Tangent Kernel: Convergence and Generalization in Neural Networks.” NeuriPS 2018. [2]Radford M. Neal. “Priors for Infinite Networks.” Bayesian Learning for Neural Networks. Springer, New York, NY, 1996. 29-53. [3] Lee & Bahri et al. “Deep Neural Networks as G
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