High-Rate Quantized Matrix Multiplication II
This is the second part of the work investigating quantized matrix multiplication (MatMul). In part I we considered the case of calibration-free quantization, whereas here we discuss the setting where covariance matrix $Σ_X$ of the columns of the second factor is available. This setting arises in the ubiquitous task of weight-only post-training quantization of LLMs. Weight-only quantization is related to the problem of weighted mean squared error (WMSE) source coding, whose classical (reverse) waterfilling solution dictates how one should distribute rate between coordinates of the vector. We show how waterfilling can be used to improve practical LLM quantization algorithms (GPTQ), which a...
| Authors | Or Ordentlich, Yury Polyanskiy |
|---|---|
| Primary category | cs.LG |
| Published | 13 May 2026 |
| Last updated at source | 8 June 2026 |
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