arXiv Machine Learning By Gregor Kornhardt, Moritz Piening, Jannis Chemseddine, Gabriele Steidl

SOL: Measuring Gaps between Text Distributions by Double Sliced Wasserstein Metrics

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The paper introduces SOL, a new metric for measuring gaps between text distributions using double sliced Wasserstein distances. It represents each sequence as an empirical measure of hidden states from a fixed transformer and compares these measures across distributions. The authors prove SOL is a metric when the transformer is injective and demonstrate its effectiveness in detecting distributional failures and recovering expected model trends in experiments on OpenWebText models.

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