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Paper · arXiv

Derandomizing Dense Binary Hypervector Codebooks for Quantized Scalars

Hyperdimensional computing and vector symbolic architectures often represent quantized scalar levels by dense binary codebooks whose level-to-level similarity is intended to follow a prescribed function of scalar separation. At finite dimensionality, randomized scalar codebook constructions deviate from this target because of sampling noise, random-start imbalance, update-count fluctuations, component dependence, and finite-capacity effects. We develop a transition-based derandomization framework for dense binary scalar codebooks across two target-similarity families, with similarity decaying exponentially or linearly with level separation. The framework separates the target similarity la...

AuthorsDmitri Rachkovskij, Evgeny Osipov, Olexander Volkov et al.
Primary categorycs.IT
Published29 September 2026
Last updated at source29 September 2026
cs.ITcs.AIcs.NE
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