arXiv Open Access 2023

Tensor Products and Hyperdimensional Computing

Frank Qiu

Lihat Sumber

Abstrak

Following up on a previous analysis of graph embeddings, we generalize and expand some results to the general setting of vector symbolic architectures (VSA) and hyperdimensional computing (HDC). Importantly, we explore the mathematical relationship between superposition, orthogonality, and tensor product. We establish the tensor product representation as the central representation, with a suite of unique properties. These include it being the most general and expressive representation, as well as being the most compressed representation that has errorrless unbinding and detection.

Topik & Kata Kunci

stat.ML cs.LG

Penulis (1)

Frank Qiu

Format Sitasi

APA MLA BibTeX

Qiu, F. (2023). Tensor Products and Hyperdimensional Computing. https://arxiv.org/abs/2305.10572

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓