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User: d-poznanski

Graph Embeddings via Tensor Products and Approximately Orthonormal Codes. (arXiv:2208.10917v4 [cs.SI] UPDATED)

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We analyze a method for embedding graphs as vectors in a structure-preserving
manner, showcasing its rich representational capacity and establishing some of
its theoretical properties. Our procedure falls under the bind-and-sum
approach, and we show that the tensor product is the most general binding
operation that respects the superposition principle. We also establish some
precise results characterizing the behavior of our method, and we show that our
use of spherical codes achieves a packing upper bound. We establish a link to
adjacency matrices, showing that our method is, in some sense, a compression of
adjacency matrices with applications towards sparse graph representations.

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