Nearly Optimal Classification for Semimetrics. Conference Paper uri icon

abstract

  • Abstract We initiate the rigorous study of classification in semimetric spaces, which are point sets with a distance function that is non-negative and symmetric, but need not satisfy the triangle inequality. We define the density dimension dens and discover that it plays a central role in the statistical and algorithmic feasibility of learning in semimetric spaces. We compute this quantity for several widely used semimetrics and present nearly optimal sample compression algorithms, which are then used to obtain generalization guarantees …

publication date

  • May 2, 2016

presented at event