Appendix: Understanding Hyperdimensional Computing for Parallel Single-Pass Learning A Proofs of Lemmas, Statements and Theorems

Binary HDC cannot learn the following task. A binary HDC that achieves this matrix is: ( 1, 1, 1), (1, 1, 1), (1, 1, 1) . Suppose the first VSA's group is Note the fact that all irreducible representations of finite Abelian groups are 1-dimensional. Consider the binary icosahedral group expressed as a subset of the quaternions. This means that the more vectors we bundle together, the closer θ is to 90 degrees.