An optimization problem on the sphere

Details An optimization problem on the sphere An optimization problem on the sphere

2008-05-15

arxiv.org/abs/0805.2362v1

Computer Science

Learning

Scientific paper

We prove existence and uniqueness of the minimizer for the average geodesic
distance to the points of a geodesically convex set on the sphere. This implies
a corresponding existence and uniqueness result for an optimal algorithm for
halfspace learning, when data and target functions are drawn from the uniform
distribution.

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