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title: Measuring Model Quantisation Quality with KL Divergence
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> ## Documentation Index
> Fetch the complete documentation index at: https://daily.dev/llms.txt
> Use this file to discover all available pages before exploring further.

# Measuring Model Quantisation Quality with KL Divergence

**[Sam McLeod](https://daily.dev/sources/smcleod)** · 13 min read · 1 upvotes · 0 comments

## Summary

KL divergence (KLD) is used to measure how much a quantised LLM deviates from a bf16 reference, providing a better quality signal than perplexity by isolating quantisation damage. Using the mlx-kld tool, six MLX quantisations of Qwen 3.6 27B (dense) and five of Qwen 3.6 35B-A3B (MoE) are benchmarked across 65,536 tokens from WikiText-2. Key findings: 8-bit is effectively a bf16 drop-in; 6-bit RTN and oQ6 are statistically tied for the dense model; Unsloth Dynamic 4-bit is a poor deal at 8.6 effective bpw with worse quality than 6-bit; for the MoE model, DWQ-4bit beats oQ4 by ~34% because it protects router tensors; quant rankings don't generalise between dense and MoE architectures. The mlx-kld tool caches reference log-probs as a sparse top-K structure (~420x compression) and loads only one model at a time, making multi-quant comparisons practical on Apple Silicon.

## Full article

daily.dev links to this article rather than hosting it. Read it at the original source: <https://smcleod.net/2026/04/measuring-model-quantisation-quality-with-kl-divergence>

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---

Tags: [#llm](https://daily.dev/tags/llm), [#qwen](https://daily.dev/tags/qwen)

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