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Paper · arXiv

Jacobian-guided Noise Injection for Quantization Robustness in Large Language Models

Quantization of Large Language Models (LLMs) is often hindered by the sensitivity of the self-attention mechanism to discretization errors. We identify the softmax operator as a bottleneck for quantization stability due to its sensitivity to outliers and state-dependent Jacobian. We theoretically establish that suppressing the norm of this Jacobian helps in bounding quantization-induced performance degradation. Based on this, we propose Jacobian-Guided Noise Injection, a training strategy that injects zero-mean Gaussian noise into pre-attention logits, with variance derived directly from the Jacobian Frobenius norm. Unlike prior approaches that rely on heuristic or penalise jacobian direc...

AuthorsDeepanshu Pandey, Arnav Chavan, Nahush Lele et al.
Primary categorycs.LG
Published21 August 2026
Last updated at source21 August 2026
cs.LGcs.AI
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