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Paper · arXiv

$\text{Log}_\text{b}$Quant: Quantizing Language Models in Logarithmic Space

Quantization has become an invaluable tool to reduce memory requirements and inference speed of modern language models, in particular to make them available for consumer setups and edge devices. While previous work has primarily focused on uniform quantization codebooks, such approaches are prone to suboptimal representations due to low-frequency high-magnitude weights. We introduce Log$_\text{b}$Quant, a novel logarithmic quantization approach with adjustable bases, to adapt to common parameter distributions. We show that our method exhibits superior performance at 4-bit precision on several performance benchmarks compared to asymmetric linear quantization at tensor-wise granularity, whi...

AuthorsJeremias Bohn, Tizian Dippold, Mahdi Koubaa et al.
Primary categorycs.CL
Published1 July 2026
Last updated at source1 July 2026
cs.CL
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