Two Layer Neural Network
Two-layer neural networks serve as a fundamental model for understanding the behavior of deeper networks, with research focusing on their optimization dynamics, generalization capabilities, and feature learning properties. Current investigations utilize stochastic gradient descent and related algorithms, often within the context of the neural tangent kernel approximation, to analyze convergence rates and the impact of hyperparameters like learning rate and network width. These studies provide crucial insights into the theoretical foundations of deep learning, informing the design of more efficient and robust algorithms and offering a clearer understanding of phenomena like spectral bias and the emergence of skills during training.
Papers
Training Guarantees of Neural Network Classification Two-Sample Tests by Kernel Analysis
Varun Khurana, Xiuyuan Cheng, Alexander Cloninger
Learning to (Learn at Test Time): RNNs with Expressive Hidden States
Yu Sun, Xinhao Li, Karan Dalal, Jiarui Xu, Arjun Vikram, Genghan Zhang, Yann Dubois, Xinlei Chen, Xiaolong Wang, Sanmi Koyejo, Tatsunori Hashimoto, Carlos Guestrin