BlockQuant is a new block quantization algorithm on the sphere after random rotation that theoretically improves reconstruction MSE and expected inner-product distortion over EDEN, RabitQ, and TurboQuant.
Leech Lattice Vector Quantization for Efficient LLM Compression
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Scalar quantization of large language models (LLMs) is fundamentally limited by information-theoretic bounds. While vector quantization (VQ) overcomes these limits by encoding blocks of parameters jointly, practical implementations must avoid the need for expensive lookup mechanisms or other explicit codebook storage. Lattice approaches address this through highly structured and dense packing. This paper explores the Leech lattice, which, with its optimal sphere packing and kissing configurations at 24 dimensions, is the highest dimensional lattice known with such optimal properties. To make the Leech lattice usable for LLM quantization, we extend an existing search algorithm based on the extended Golay code construction, to i) support indexing, enabling conversion to and from bitstrings without materializing the codebook, ii) allow angular search over union of Leech lattice shells, iii) propose fully-parallelisable dequantization kernel. Lastly, we provide a geometric reinterpretation of combining shape--gain quantization with GPTQ-style Hessian corrections: the standard scale-correction step of shape--gain acts as a retraction onto a product of spheres, yielding a Spherical GPTQ primarily acting on directions. We find that low-angular-distortion LLVQ reduces sensitivity to Hadamard/rotation preprocessing, and enables a strong Hadamard-free PTQ in practice. LLVQ delivers state-of-the-art LLM quantization performance, outperforming recent methods such as Quip\#, QTIP, and PVQ. The results highlight the effectiveness of high-dimensional lattices for scalable, theoretically grounded model compression.
fields
cs.LG 2years
2026 2representative citing papers
BiSCo-LLM achieves near-FP16 accuracy on Qwen3-8B at ~2 bits/weight using codebook-free binary spherical codes with residual coding and category-wise recovery distillation.
citing papers explorer
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Block-Sphere Vector Quantization
BlockQuant is a new block quantization algorithm on the sphere after random rotation that theoretically improves reconstruction MSE and expected inner-product distortion over EDEN, RabitQ, and TurboQuant.
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BiSCo-LLM: Lookup-Free Binary Spherical Coding for Extreme Low-Bit Large Language Model Compression
BiSCo-LLM achieves near-FP16 accuracy on Qwen3-8B at ~2 bits/weight using codebook-free binary spherical codes with residual coding and category-wise recovery distillation.