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Hypervectors from Optical Disorder: Programmable Encoding and Optical Inference for Hyperdimensional Computing

Abstract

Hyperdimensional computing (HDC) is a computing framework that represents information as high-dimensional pseudorandom vectors called hypervectors (HVs), enabling learning and inference through simple algebraic operations. The HV dimensionality provides computational capacity and error robustness, but the required high-dimensional randomness must be stored or regenerated, imposing a memory--computation tradeoff. Here, we address this tradeoff by physically embodying the randomness required for HV generation in the static disorder of a scattering medium. Specifically, a silicon photonic circuit combined with the scattering medium generates high-dimensional HVs from a small number of input values in a single optical shot. Detector-side encoding programs HV correlations for continuous and categorical representations. The resulting HVs reproduce key statistical and compositional properties of ideal i.i.d.\ random HVs, including pairwise similarity statistics, associative-memory capacity, and factorization capacity. We further demonstrate an optically assisted inference path using the generated HVs and optical similarity evaluation.

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BibTeX
@misc{iwata2026hypervectors,
  title = {{Hypervectors from Optical Disorder: Programmable Encoding and Optical Inference for Hyperdimensional Computing}},
  author = {Takuya Iwata and Namthip Srisuthep and Satoshi Sunada},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24108},
  eprint = {2609.24108},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24108},
}
RIS
TY  - UNPB
TI  - Hypervectors from Optical Disorder: Programmable Encoding and Optical Inference for Hyperdimensional Computing
AU  - Takuya Iwata
AU  - Namthip Srisuthep
AU  - Satoshi Sunada
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24108
UR  - https://arxiv.org/abs/2609.24108
AB  - Hyperdimensional computing (HDC) is a computing framework that represents information as high-dimensional pseudorandom vectors called hypervectors (HVs), enabling learning and inference through simple algebraic operations. The HV dimensionality provides computational capacity and error robustness, but the required high-dimensional randomness must be stored or regenerated, imposing a memory--computation tradeoff. Here, we address this tradeoff by physically embodying the randomness required for HV generation in the static disorder of a scattering medium. Specifically, a silicon photonic circuit combined with the scattering medium generates high-dimensional HVs from a small number of input values in a single optical shot. Detector-side encoding programs HV correlations for continuous and categorical representations. The resulting HVs reproduce key statistical and compositional properties of ideal i.i.d.\ random HVs, including pairwise similarity statistics, associative-memory capacity, and factorization capacity. We further demonstrate an optically assisted inference path using the generated HVs and optical similarity evaluation.
ER  -