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Trajectory Alignment: Understanding the Edge of Stability Phenomenon via Bifurcation Theory
Neural Information Processing Systems
Cohen et al. (2021) empirically study the evolution of the largest eigenvalue of the loss Hessian, also known as sharpness, along the gradient descent (GD) trajectory and observe the Edge of Stability (EoS) phenomenon.
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The expressive power of pooling in Graph Neural Networks
Neural Information Processing Systems
However, such an approach is highly empirical and provides an indirect evaluation affected by external factors.
Technology: Information Technology > Artificial Intelligence > Machine Learning > Neural Networks (1.00)
Convexity and Lipschitz Hessian: Minimax Sample Complexity
Neural Information Processing Systems
We provide the first tight characterization for the rate of the minimax simple regret by developing matching upper and lower bounds.
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