Learning Riemannian Metrics

Guy Lebanon

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arXiv · 1212.2474

Learning Riemannian Metrics

Guy Lebanon

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Abstract

We propose a solution to the problem of estimating a Riemannian metric associated with a given differentiable manifold. The metric learning problem is based on minimizing the relative volume of a given set of points. We derive the details for a family of metrics on the multinomial simplex. The resulting metric has applications in text classification and bears some similarity to TFIDF representation of text documents.

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Guy Lebanon. 2012-10-19. Learning Riemannian Metrics. https://arxiv.org/abs/1212.2474

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