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Strategic stability under regularized learning in games
As such, in games where the marginalization of CCE coincides with the game's Nash equilibria (like
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Trajectory Alignment: Understanding the Edge of Stability Phenomenon via Bifurcation Theory
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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Sub-optimality of the Naive Mean Field approximation for proportional high-dimensional Linear Regression
Despite its popularity in practice, theoretical guarantees for high-dimensional problems are only available under strong structural assumptions (e.g., sparsity).
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The emergence of clusters in self-attention dynamics
We show that particles, representing tokens, tend to cluster toward particular limiting objects as time tends to infinity.
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