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arxiv

Second-order Sinkhorn Geometry and $\sqrt{n}$-Inference

The Sinkhorn divergence, a debiased form of entropic optimal transport, has been widely used in various scientific disciplines due to its computational and statistical tractability. Unlike the…

deep-learning
arxiv

Symmetry Breaking Is the Price of Finite Capacity

If rotating a problem never changes its answer, one might expect its best model to be rotation-invariant; we show that this fails, predictably and by an exact amount, when capacity is limited. A…

deep-learning