Gradient Descent as a Perceptron Algorithm: Understanding Dynamics and Implicit Acceleration
Researchers have demonstrated that gradient descent steps in neural networks trained with logistic loss can be simplified to resemble generalized perceptron algorithms. This new perspective, using classical linear algebra, reveals how the nonlinearity in two-layer models can achieve faster iteration complexity than linear models. The findings offer a theoretical explanation for the implicit acceleration observed in neural network optimization and are supported by numerical experiments. AI
IMPACT Provides a novel theoretical framework for understanding and potentially improving neural network training efficiency.