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math.HO2025
An Elementary Proof of a Minimax Theorem
Jeff Calder
Here, we give a self-contained and elementary proof of a minimax theorem due to Fan in a simplified setting that can be taught in an advanced undergraduate course. Our proof follow…
math.NA2025
Dynamics Over Landscape: The Emergence of Linear Separability via Spectral Alignment in Contrastive Learning
Jeff Calder, Wonjun Lee
Contrastive learning effectively clusters data despite a loss landscape filled with poor solutions, a success that is heavily dependent on the choice of data augmentations. How opt…