arXiv Machine Learning By Anthony Kostal-Vazquez, Vassil Dimitrov, Branden Butler

Algebraic Integer Quantization for Machine Learning Applications

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The paper introduces algebraic integer number formats (AINF) as a framework for highly configurable and accurate compressed computation, emphasizing its reduction to purely integer arithmetic for error‑free multiply‑accumulate operations. A matrix multiplication engine leveraging AINF achieves performance close to the most efficient numerical counterparts on modern hardware accelerators. The authors further propose algebraic integer quantization (AIQ) as a lossy compression format for large language model inference, demonstrating competitive accuracy against the industry‑standard MX format at equivalent bit‑per‑parameter budgets, and suggest that higher‑order algebraic integers could yield even greater computational benefits.

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