The cosine measure relative to a subspace

Abstract: The cosine measure is a tool that tells you how well a set of directions is covering the space $\mathbb{R}^n$. In this talk, we extend the concept of cosine measure by defining the cosine measure relative to a subspace. This novel definition might be useful for subspace decomposition optimization methods. We propose a deterministic algorithm to compute it and discuss the situation in which the set of directions is infinite.

Mathematics

Audience: researchers in the topic

PIMS-CORDS SFU Operations Research Seminar