When will gradient methods converge to max‐margin classifier under ReLU models?

@article{Xu2018WhenWG,
  title={When will gradient methods converge to max‐margin classifier under ReLU models?},
  author={Tengyu Xu and Yi Zhou and Kaiyi Ji and Yingbin Liang},
  journal={arXiv: Learning},
  year={2018}
}
We study the implicit bias of gradient descent methods in solving a binary classification problem over a linearly separable dataset. The classifier is described by a nonlinear ReLU model and the objective function adopts the exponential loss function. We first characterize the landscape of the loss function and show that there can exist spurious asymptotic local minima besides asymptotic global minima. We then show that gradient descent (GD) can converge to either a global or a local max-margin… Expand
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