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Towards Understanding Training Dynamics for Mildly Overparametrized Models

  • Rong Ge (Duke University)
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Abstract

While over-parameterization is widely believed to be crucial for the success of optimization for the neural networks, most existing theories on over-parameterization do not fully explain the reason -- they either work in the Neural Tangent Kernel regime where neurons don't move much, or require an enormous number of neurons. In this talk I will describe our recent works towards understanding training dynamics that go beyond kernel regimes with only polynomially many neurons (mildly overparametrized). In particular, we first give a local convergence result for mildly overparametrized two-layer networks. We then analyze the global training dynamics for a related overparametrized tensor model. For both works, we rely on a key intuition that neurons in overparametrized models work in groups and it's important to understand the behavior of an average neuron in the group. Based on two works: arxiv.org/abs/2102.02410 and arxiv.org/abs/2106.06573

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seminar
25.04.24 16.05.24

Math Machine Learning seminar MPI MIS + UCLA

MPI for Mathematics in the Sciences Live Stream

Katharina Matschke

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