arXiv AI By Zukang Xu, Zhixiong Zhao, Xing Hu, Zhe Jiang, Xin Si, Dawei Yang

CoS-VQ: Coordinated Shared-Scale Vector Quantization for Large Language Models

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CoS‑VQ is a new vector‑quantization technique for large language models that keeps codewords low‑dimensional while jointly optimizing their hard indices and a shared scale across positions. By collecting candidates at multiple probe scales and using a tangent separable upper bound, it reduces candidate comparisons to a small set of representative intervals, enabling efficient joint index–scale updates without exhaustive enumeration. Experiments on Qwen3.8‑27B show that CoS‑VQ outperforms existing methods such as QTIP and LLVQ on language‑modeling, coding, and reasoning benchmarks, and ablations demonstrate that joint updates yield larger gains than scale‑only refinement.

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arXiv Machine Learning
Oct 2

JARQ: Joint Alternating Refinement for Quantization

JARQ is a plug‑in refinement method for group‑wise post‑training quantizers that alternates a joint least‑squares fit of all group scales with bounded Babai proposals to move many codes together on the current grid. It solves a bilinear box‑constrained mixed‑integer least‑squares problem without backpropagation, preserves the host model’s bit width, groups, zero points, and inference cost, and improves accuracy across Llama‑2, Llama‑3, and Qwen models when paired with RTN, GPTQ, OmniQuant, and AWQ hosts. In practice, JARQ reduces perplexity in 90 of 96 comparisons, cuts three‑bit RTN perplexity by up to 36%, raises mean multiple‑choice accuracy in 23 of 24 configurations, and enhances QEP, QuaRot, and OJBKQ outputs, all within under a minute per 7B block.

By Xinyu Wang, Sicheng Lyu, Xiao-Wen Chang