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arXiv · 1406.6403

An eigenspace approach to isotypic projections for data on binary trees

Nathaniel Eldredge
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Abstract

The classical Fourier transform is, in essence, a way to take data and extract components (in the form of complex exponentials) which are invariant under cyclic shifts. We consider a case in which the components must instead be invariant under automorphisms of a binary tree. We present a technique by which a slightly relaxed form of the generalized Fourier transform in this case can eventually be computed using only simple tools from linear algebra, which has possible advantages in computational efficiency.

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Nathaniel Eldredge. 2014-06-24. An eigenspace approach to isotypic projections for data on binary trees. https://arxiv.org/abs/1406.6403

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