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Low-Rank Correction for Quantized LLMs

2024/12/10 by Meyer Scetbon, Scetbon, Meyer, James Hensman +1
Physics and Astronomy · Engineering · #Magnetic confinement fusion research #Particle accelerators and beam dynamics #Particle Accelerators and Free-Electron Lasers

paper · pdf · doi:10.48550/arxiv.2412.07902

Abstract

We consider the problem of model compression for Large Language Models (LLMs) at post-training time, where the task is to compress a well-trained model using only a small set of calibration input data. In this work, we introduce a new low-rank approach to correct for quantization errors of activations in LLMs: we propose to add low-rank weight matrices in full precision that act on the unquantized activations. We then solve a joint optimization problem over the quantized representation of the weights and additional low-rank weight matrices to quantize both weights and activations. We focus on the case of 4-bit weight-and-activation quantization (W4A4). Using ranks equivalent to 10% of the original weight matrix size, our approach reduces the accuracy gap with the original model by more than 50%. Using ranks equivalent to 30% of the original weight matrix, the accuracy gap is closed completely. We demonstrate our results on four recent LLMs, namely Llama-2, Llama-3, Phi-3 and Mixtral models.

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