Experimental layer-wise quantization of Qwen/Qwen3-8B

Using LLaMA C++ release b5210 for quantization.

Original model: Qwen/Qwen3-8B

From the original model creators:

Qwen3 is the latest generation of large language models in Qwen series, offering a comprehensive suite of dense and mixture-of-experts (MoE) models. Built upon extensive training, Qwen3 delivers groundbreaking advancements in reasoning, instruction-following, agent capabilities, and multilingual support, with the following key features:

  • Uniquely support of seamless switching between thinking mode (for complex logical reasoning, math, and coding) and non-thinking mode (for efficient, general-purpose dialogue) within single model, ensuring optimal performance across various scenarios.
  • Significantly enhancement in its reasoning capabilities, surpassing previous QwQ (in thinking mode) and Qwen2.5 instruct models (in non-thinking mode) on mathematics, code generation, and commonsense logical reasoning.
  • Superior human preference alignment, excelling in creative writing, role-playing, multi-turn dialogues, and instruction following, to deliver a more natural, engaging, and immersive conversational experience.
  • Expertise in agent capabilities, enabling precise integration with external tools in both thinking and unthinking modes and achieving leading performance among open-source models in complex agent-based tasks.
  • Support of 100+ languages and dialects with strong capabilities for multilingual instruction following and translation.

PLEASE READ THIS BEFORE USING THESE EXPERIMENTAL VERSIONS!

An area of personal interest is finding ways to optimize the inference performance of LLMs when deployed in resource-constrained environments like commodity hardware, desktops, laptops, mobiles, edge devices, etc. There are many approaches to accomplish this, including architecture simplification and knowledge distillation, but my focus has been primarily on quantization and pruning.

The method used to produce these experimental versions is covered in Squeezing Tensor Bits: the quest for smaller LLMs, but at a high level it involves using a custom version of llama-imatrix and llama-quantize to identify influential tensors, and quantize the most important layers to higher bit precision and the less important to lower bits. This process was partly inspired by Dumitru's et al Layer-Wise Quantization: A Pragmatic and Effective Method for Quantizing LLMs Beyond Integer Bit-Levels.

As of version b5125 llama-quantize can now perform tensor-wide quantization (TWQ), whereby user-defined tensors are quantized at a specific level, or perform layer-wise quantization (LWQ) by selecting different quantization types per tensor/layer. For example, --tensor-type attn_v=q6_k will quantize all Attention Value tensors at q6_k (TWQ), and --tensor-type "\.([0-9]|1[01257]|31)\.attn_k=q4_k" will quantize Attention Key tensors on layers 0 to 9, 10, 11, 12, 15, 17 and 31 at q4_k, leaving the remaining layers at their default value (LWQ).

The modified version of llama-imatrix generates useful statistics to guide the tensor selection process, --show-statistics will display:

  • Σ(Bias): the sum of all activations over the tensor (i.e. the Importance Scores)
  • Min & Max: minimum and maximum activation values
  • μ & σ: activations' mean and standard deviation
  • % Active: proportion of elements whose average activation exceeds a very small threshold (1e-6). Helpful to determine how alive/dormant the tensor is during inference
  • N: number of activations in the tensor
  • Entropy: entropy of the activation distribution, in bits (standard Shannon entropy measurement)
  • E (norm): Normalized entropy.
  • ZD Score: z-score distribution as described in 3.1 Layer Importance Scores in the Layer-Wise Quantization paper
  • CosSim: cosine similarity between same type tensors with respect to the previous layer (i.e. blk.7.attn_k and blk.6.attn_k)

Please note that statistics are calculated for each individial tensor and should be used to compare between tensors of the same type only. For example, assuming that attn_k in layer 10 has a higher influence during inference than attn_k in layer 7 because its Σ(Bias) is larger makes sense, whilst concluding the same between attn_k and ffn_down does not.

There’s a pull request to merge these changes back into the core llama.cpp project. This may or may not ever happen so, until then, the modified version will be available on GitHub.

For testing and comparison I use models produced by Unsloth (Daniel and Michael Han do some really advanced level stuff!) and Bartowski (see credits below).

All experimental versions were generated using an appropriate imatrix created from calibration datasets available at eaddario/imatrix-calibration. At its core, an Importance Matrix (imatrix) is a table or, more broadly, a structured representation that scores the relative importance of different features or parameters in a machine learning model. It essentially quantifies the "impact" each feature has on a specific outcome, prediction, or relationship being modeled, and it helps to counterbalance the negative effects of quantization and pruning.

The process to generate these models is roughly as follows:

  1. Convert the the original model's tensors to GGUF F16*
  2. Estimate the Perplexity score for the F16 model (baseline) using the wikitext-2-raw-v1 dataset, and save the logits
  3. Generate an imatrix from selected calibration datasets
  4. Determine tensor and layer Importance Score contribution using the modified version of llama-imatrix
  5. Select an appropiate quant level for each tensor and quantize the model using llama-quantize
  6. Calculate Perplexity, KL Divergence, ARC (Easy+Challenge), HellaSwag, MMLU, Truthful QA and WinoGrande scores for each quantized model
  7. Keep versions with the best scores
  8. Repeat until all desired quants are created. I find that quantizations below Q3/IQ3 are not fit for my purposes and therefore do not usually generate them, but happy to provide other quants on request.

*BF16 would be preferred, but Apple's GPUs don't support it yet, and therefore any operations are executed in the CPU, making it unacceptably slow. This is expected to change in the near term but until then, if you are using Apple kit avoid using any models tagged BF16

Models

Sizes (in GB)

Model Bartowski Unsloth Repo Shrinkage
Qwen3-8B-8B-IQ3_M 3.90 N/A 3.75 3.8%
Qwen3-8B-8B-IQ3_S 3.63 N/A 3.49 3.9%
Qwen3-8B-8B-IQ4_NL 4.79 4.79 4.47 6.7%
Qwen3-8B-8B-Q3_K_L 4.43 N/A 3.83 13.5%
Qwen3-8B-8B-Q3_K_M 4.12 4.12 3.64 11.7%
Qwen3-8B-8B-Q3_K_S 3.77 3.77 3.36 10.9%
Qwen3-8B-8B-Q4_K_M 5.03 5.03 4.48 10.9%
Qwen3-8B-8B-Q4_K_S 4.80 N/A 4.35 9.4%
Qwen3-8B-8B-Q5_K_M 5.85 5.85 5.39 7.9%
Qwen3-8B-8B-Q5_K_S 5.72 N/A 5.32 7.0%
Qwen3-8B-8B-Q6_K 6.73 6.73 6.49 3.6%
Qwen3-8B-8B-Q8_0 8.71 8.71 7.22 17.1%

Perplexity and KL Divergence scores

Model μPPL 𝜌PPL μKLD RMS Δp
Qwen3-8B-IQ3_M 10.063806 ±0.079218 97.37% 0.110621 ±0.000822 10.079 ±0.062
Qwen3-8B-IQ3_S 10.395847 ±0.082235 96.59% 0.151185 ±0.000930 11.665 ±0.064
Qwen3-8B-IQ4_NL 9.510181 ±0.074013 98.56% 0.053615 ±0.000522 7.018 ±0.053
Qwen3-8B-Q3_K_L 10.032675 ±0.078479 96.37% 0.147408 ±0.001091 11.565 ±0.066
Qwen3-8B-Q3_K_M 10.152519 ±0.079692 96.05% 0.162274 ±0.001129 12.076 ±0.067
Qwen3-8B-Q3_K_S 10.360057 ±0.081153 95.41% 0.192524 ±0.001231 13.106 ±0.069
Qwen3-8B-Q4_K_M 9.575811 ±0.075110 98.58% 0.052384 ±0.000539 6.944 ±0.054
Qwen3-8B-Q4_K_M-bartowski 9.520300 ±0.074980 99.21% 0.023098 ±0.000336 4.711 ±0.045
Qwen3-8B-Q4_K_M-unsloth 9.460756 ±0.074166 99.21% 0.023327 ±0.000271 4.784 ±0.046
Qwen3-8B-Q4_K_S 9.608376 ±0.075480 98.50% 0.055599 ±0.000537 7.113 ±0.053
Qwen3-8B-Q5_K_M 9.504227 ±0.075095 99.37% 0.014303 ±0.000324 3.682 ±0.043
Qwen3-8B-Q5_K_S 9.503670 ±0.075062 99.38% 0.014228 ±0.000332 3.680 ±0.044
Qwen3-8B-Q6_K 9.443718 ±0.074533 99.60% 0.004932 ±0.000114 2.214 ±0.037
Qwen3-8B-Q8_0 9.417593 ±0.074267 99.67% 0.002006 ±0.000085 1.419 ±0.029
Qwen3-8B-F16 9.340929 ±0.072631 100% N/A N/A

ARC, HellaSwag, MMLU, Truthful QA and WinoGrande scores

Scores generated using llama-perplexity with 750 tasks per test, and a context size of 768 tokens.

For the test data used in the generation of these scores, follow the appropiate links: HellaSwag, ARC, MMLU, Truthful QA and WinoGrande

Model ARC HellaSwag MMLU Truthful QA WinoGrande Avg Score
Qwen3-8B-IQ3_M 62.9333 ±1.7648 69.60 37.2000 ±1.7661 29.7333 ±1.6702 67.4667 ±1.7119 53.39
Qwen3-8B-IQ3_S 65.0667 ±1.7420 69.87 38.4000 ±1.7771 30.9333 ±1.6889 67.8667 ±1.7063 54.43
Qwen3-8B-IQ4_NL 60.9333 ±1.7827 72.13 38.8000 ±1.7805 29.6000 ±1.6680 68.1333 ±1.7026 53.92
Qwen3-8B-Q3_K_L 64.9333 ±1.7436 71.86 37.3333 ±1.7674 30.8000 ±1.6869 67.2000 ±1.7155 54.43
Qwen3-8B-Q3_K_M 65.3333 ±1.7389 71.86 38.4000 ±1.7771 30.0000 ±1.6744 67.3333 ±1.7137 54.59
Qwen3-8B-Q3_K_S 61.0667 ±1.7816 71.33 36.4000 ±1.7581 28.6667 ±1.6523 66.9333 ±1.7190 52.88
Qwen3-8B-Q4_K_M 59.2000 ±1.7958 73.20 39.0667 ±1.7827 29.4667 ±1.6658 67.7333 ±1.7082 53.73
Qwen3-8B-Q4_K_M-bartowski 63.0667 ±1.7635 73.73 40.6667 ±1.7948 30.0000 ±1.6744 66.2667 ±1.7276 54.75
Qwen3-8B-Q4_K_M-unsloth 64.1333 ±1.7525 73.60 40.2667 ±1.7920 30.0000 ±1.6744 68.4000 ±1.6988 55.28
Qwen3-8B-Q4_K_S 60.5333 ±1.7860 72.40 38.2667 ±1.7759 29.4667 ±1.6658 67.3333 ±1.7137 53.60
Qwen3-8B-Q5_K_M 63.0667 ±1.7635 74.27 39.7333 ±1.7880 29.6000 ±1.6680 67.6000 ±1.7100 54.85
Qwen3-8B-Q5_K_S 63.2000 ±1.7621 73.60 40.6667 ±1.7948 29.7333 ±1.6702 67.8667 ±1.7063 55.01
Qwen3-8B-Q6_K 65.4667 ±1.7374 78.80 39.3333 ±1.7849 32.2667 ±1.7082 73.6000 ±1.6106 57.89
Qwen3-8B-Q8_0 64.5333 ±1.7481 74.00 40.1333 ±1.7910 29.2000 ±1.6614 66.0000 ±1.7309 54.77
Qwen3-8B-F16 65.3333 ±1.7389 74.00 40.0000 ±1.7900 29.0667 ±1.6591 66.2667 ±1.7276 54.93

Tokens per Second - Benchmarks

Scores generated using llama-bench. Naive (llama-quantize with no optimization) Q4_K_M quantization included for comparison.

model size params backend threads test t/s
Qwen3-8B-Q4_K_M 4.16 GiB 8.19 B Metal,BLAS 6 pp512 311.84 ± 0.77
Qwen3-8B-Q4_K_M 4.16 GiB 8.19 B Metal,BLAS 6 tg128 27.01 ± 0.08
Qwen3-8B-Q4_K_M 4.16 GiB 8.19 B Metal,BLAS 6 pp1024+tg1024 43.03 ± 0.15
Qwen3-8B-Q4_K_M-bartowski 4.68 GiB 8.19 B Metal,BLAS 6 pp512 323.72 ± 1.81
Qwen3-8B-Q4_K_M-bartowski 4.68 GiB 8.19 B Metal,BLAS 6 tg128 25.37 ± 0.12
Qwen3-8B-Q4_K_M-bartowski 4.68 GiB 8.19 B Metal,BLAS 6 pp1024+tg1024 41.50 ± 0.12
Qwen3-8B-Q4_K_M-unsloth 4.68 GiB 8.19 B Metal,BLAS 6 pp512 325.32 ± 1.08
Qwen3-8B-Q4_K_M-unsloth 4.68 GiB 8.19 B Metal,BLAS 6 tg128 25.47 ± 0.12
Qwen3-8B-Q4_K_M-unsloth 4.68 GiB 8.19 B Metal,BLAS 6 pp1024+tg1024 40.11 ± 1.24

Metrics used

Perplexity: one of the key metrics used in NLP evaluation. It measures the quality of a language model by evaluating how well it predicts the next token given a particular sequence of words. A PPL of 1 indicates an exact match between predicted and actual, whereas values greater than one indicate a degree of "surprise" the generated token differs from the expected.

Kullback–Leibler (KL) Divergence: a statistical measure of how much a probability distribution differs from another. When quantizing models (or altering the original tensors in any way for that matter), the closest we can preserve the weights' probability distribution to the original model the better, thus the closest to 0 the better.

AI2 Reasoning Challenge (ARC): a benchmark to evaluate the ability of AI models to answer complex science questions that require logical reasoning beyond pattern matching.

HellaSwag: the Harder Endings, Longer contexts, and Low-shot Activities for Situations With Adversarial Generations (bit of a mouthful!) is a benchmark designed to test commonsense natural language inference. It requires the model to predict the most likely ending of a sentence.

MMLU: the Massive Multitask Language Understanding evaluates LLMs’ general knowledge and problem-solving abilities across 57 subjects, including elementary mathematics, US history, computer science, and law.

Truthful QA: evaluates how well LLMs generate truthful responses to questions. It identifies whether AI models can avoid generating false or misleading information, particularly in areas where human knowledge is prone to misconceptions.

Winogrande: based on the Winograd Schema Challenge, is a natural language understanding task requiring models to resolve ambiguities in sentences involving pronoun references.

Credits

A big Thank You! to Colin Kealty for the many contributions and for being one of the best sources of high quality quantized models available on Huggingface, and a really big Thank You! to Georgi Gerganov for his amazing work with llama.cpp and the ggml/gguf libraries.

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