CMU-CS-03-145Computer Science Department School of Computer Science, Carnegie Mellon University
CMU-CS-03-145
Guy Lebanon May 2003
CMU-CS-03-145.ps
Keywords: Riemannian geometry, information geometry, metric
learning, text classificationWe compute the differential volume element and the total volume of a family of metrics on the multinomial simplex. The metric family is composed of pull-back of the Fisher information metric through a continuous group of transformations. This note complements the paper by Lebanon that describes a metric learning framework and applies the results below to text classification. 10 pages
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