What is currently considered the theoretically optimal quantization bit-width for LLMs? [D]

Reddit r/MachineLearning News

Summary

A discussion question asking about the theoretically optimal quantization bit-width for LLMs under a fixed memory budget, referencing recent 3-bit/2-bit results and scaling-law work from 2025-2026.

I’m curious whether there is now a theoretical or empirical “sweet spot” for LLM quantization, preferably research done using open-source formats like GGUF Suppose you have a fixed memory/compute budget and can choose the model size freely. For example, instead of a smaller model at 8-bit or 4-bit, you could fit a progressively larger model at 3-bit, 2-bit, 1.5-bit, etc. A few years ago, I remember 4-bit often being described as roughly the practical sweet spot because it preserved most model quality while giving a large memory reduction. But with newer methods, I’ve seen surprisingly strong 3-bit, 2-bit, and even ~1.5-bit results. So if the goal is maximum model capability for a fixed memory budget, rather than preserving one particular pretrained model as faithfully as possible, what does current research suggest is the optimal bits-per-weight? Is there evidence that, for example, a 2-bit 70B model generally beats a 4-bit 35B model, or does quantization degradation eventually outweigh the gains from additional parameters? I’m especially interested in recent theoretical/scaling-law work or large empirical studies from 2025–2026. If no one is studying this, then could any of you do this work? I feel like it could be immensely useful for the community.
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