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The Implicit Bias of Hyperbolic Representation Learning for Multiclass Data: A Busemann Risk Perspective
We study the implicit bias of Riemannian gradient flow for hyperbolic multiclass classification with fixed class prototypes in hyperbolic space $\mathbb{H}^n$. Our framework accommodates general permutation invariant relative margin (PERM) losses, a class that includes cross entropy and other standa
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