# Qwen3-8B Quantization Comparison Summary

## F16 Baseline Reference
| Metric | Value |
|--------|-------|
| **F16 Perplexity** | 10.1114 |
| **File Size** | 15.26 GiB (16.00 BPW) |

All precision loss percentages below are calculated relative to this F16 baseline.

---

## Q4_K_HIFI (INT8 Residuals + Per-Block Scale)
**Pros:**
- 🎯 Uses intelligent outlier preservation with INT8 residuals on critical tensors
- 🔬 10 tensors use Q6_K_HIFI_RES8 format for maximum precision on sensitive weights
- ✅ **Best perplexity** at 10.4133 (beats Q4_K_M's 10.4239)
- ✅ **Best imatrix perplexity** at 10.2225 (beats Q4_K_M's 10.2355)
- 📊 **+3.0% PPL vs F16** without imatrix, **+1.1% with imatrix** ✅

**Cons:**
- 💾 Larger file size at 4.93 GiB (+5.3% vs Q4_K_M)
- 🐢 Slower than Q4_K_M (117.53 vs 118.70 TPS, 1.0% slower)
- 🐢 Slower than Q4_K_S (117.53 vs 123.04 TPS, 4.5% slower)

**Best for:** Maximum quality at Q4-level efficiency. Ideal when perplexity matters most.

## Performance Comparison (Q4_K_HIFI vs the others)

### Q4_K_M

| Metric              | Q4_K_HIFI    | Q4_K_M     | Difference                    |
|---------------------|------------|------------|-------------------------------|
| **Speed (TPS)**     | 117.53     | 118.70     | -1.17 (1.0% slower)           |
| **Perplexity**      | 10.4133    | 10.4239    | **-0.01 (0.1% better)** ✅    |
| **PPL vs F16**      | +3.0%      | +3.1%      | 0.1% less precision loss      |
| **File Size**       | 4.93 GiB   | 4.68 GiB   | +0.25 GiB (5.3% larger)       |
| **Bits Per Weight** | 5.17       | 4.90       | +0.27 (5.5% more)             |

**Pros:**
- ⚖️ Traditional "balanced" approach between speed and quality
- 📚 Well-documented, standard quantization method
- 💾 Smaller file size than Q4_K_HIFI
- ⚡ Slightly faster than Q4_K_HIFI (1.0%)
- 📊 **+3.1% PPL vs F16** — similar precision loss to Q4_K_HIFI

**Cons:**
- ❌ **Worse perplexity** than Q4_K_HIFI (10.4239 vs 10.4133)

**Best for:** When speed and size are prioritized over marginal quality gains.
**Summary:** Q4_K_HIFI delivers better quality (0.1% lower perplexity) at the cost of 5.3% larger file size and 1.0% slower inference.

### Q4_K_S

| Metric              | Q4_K_HIFI    | Q4_K_S     | Difference                    |
|---------------------|------------|------------|-------------------------------|
| **Speed (TPS)**     | 117.53     | 123.04     | -5.51 (4.5% slower)           |
| **Perplexity**      | 10.4133    | 10.6837    | **-0.27 (2.5% better)** ✅    |
| **PPL vs F16**      | +3.0%      | +5.7%      | 2.7% less precision loss      |
| **File Size**       | 4.93 GiB   | 4.47 GiB   | +0.46 GiB (10.3% larger)      |
| **Bits Per Weight** | 5.17       | 4.68       | +0.49 (10.5% more)            |

**Pros:**
- ⚡ **Fastest inference** at 123.04 TPS (4.5% faster than Q4_K_HIFI)
- 💾 **Smallest file size** at 4.47 GiB
- ✅ Best choice when speed and storage are critical

**Cons:**
- ❌ **Significantly worse quality** with perplexity of 10.68 (2.5% higher than Q4_K_HIFI)
- 📊 **+5.7% PPL vs F16** — highest precision loss of Q4_K variants
- ⚠️ Uses minimal q6_K enhancement — impacts quality on sensitive weights

**Best for:** Extreme resource constraints, quick prototyping, or bulk processing where quality is less important.
**Summary:** Q4_K_HIFI trades a 4.5% speed reduction and 10.3% larger file size for a 2.5% improvement in quality over Q4_K_S.

---

## Recommendation Matrix

| Priority          | Recommended Model | Rationale                                                                      |
|-------------------|-------------------|--------------------------------------------------------------------------------|
| **Quality First** | Q4_K_HIFI           | Best perplexity (10.4133) without imatrix, (10.2225) with imatrix              |
| **Speed First**   | Q4_K_S            | 4.5% faster than Q4_K_HIFI, acceptable if quality degradation is tolerable       |
| **Best Balance**  | Q4_K_HIFI           | Best quality with acceptable speed/size overhead                               |
| **Smallest Size** | Q4_K_S            | 10.3% smaller than Q4_K_HIFI, 4.5% smaller than Q4_K_M                           |

---

## Key Insight

**At 8B scale, Q4_K_HIFI outperforms Q4_K_M with Q6_K_HIFI_RES8 enhancement:**
- **0.1% lower perplexity** than Q4_K_M (10.4133 vs 10.4239)
- **5.3% larger** file size (4.93 GiB vs 4.68 GiB)
- **1.0% slower** than Q4_K_M (117.53 vs 118.70 TPS)
- **All variants lose only 3.0-5.7% precision vs F16** (10.11 baseline) — excellent retention!

The Q6_K_HIFI_RES8 format (upgraded from Q5_K_HIFI_RES8) provides the precision needed at 8B scale. The INT8 residuals with 6-bit base quantization capture weight distributions that Q4_K_M's standard q6_K enhancement misses.

💡 **Scale Effect:** At 8B scale, models benefit from higher-precision HIFI enhancement. The Q6_K base (vs Q5_K) in the HIFI format provides the extra headroom needed for accurate outlier representation.

---

## Precision Loss Summary (vs F16 Baseline: PPL 10.1114)

| Model     | PPL (no imatrix) | vs F16 | PPL (imatrix) | vs F16 |
|-----------|------------------|--------|---------------|--------|
| Q4_K_HIFI | 10.4133          | **+3.0%** | 10.2225 | **+1.1%** ✅ |
| Q4_K_M    | 10.4239          | **+3.1%** | 10.2355 | **+1.2%** |
| Q4_K_S    | 10.6837          | **+5.7%** | 10.2943 | **+1.8%** |

**Key Observations:**
- Without imatrix: Q4_K variants lose only 3.0-5.7% precision vs F16 — excellent retention at 8B scale
- With imatrix: Precision loss drops to just 1.1-1.8% — nearly F16 quality!
- Q4_K_HIFI (imatrix) achieves the **lowest precision loss** at only +1.1% vs F16
- The 8B model shows the best precision retention across all model sizes tested

---

## Tensor Distribution

| Model   | q4_K | q5_K | q6_K | Q6_K_HIFI_RES8 | f32 | Total |
|---------|------|------|------|----------------|-----|-------|
| Q4_K_S  | 245  | 8    | 1    | 0              | 145 | 399   |
| Q4_K_M  | 217  | 0    | 37   | 0              | 145 | 399   |
| Q4_K_HIFI | 213  | 0    | 31   | 10             | 145 | 399   |

**Q4_K_HIFI Enhancement:** 10 critical tensors use Q6_K_HIFI_RES8 format with INT8 residuals + per-block scale (upgraded from Q5_K_HIFI_RES8 for 8B+ models).

---

## Addendum: Impact of imatrix on Q4_K_M and Q4_K_S

When all models are quantized **with an importance matrix (imatrix)**, quality improves significantly across all variants.

### imatrix Perplexity Improvements

| Model   | Without imatrix | With imatrix | Improvement | PPL vs F16 (imatrix) |
|---------|-----------------|--------------|-------------|----------------------|
| Q4_K_HIFI | 10.4133         | **10.2225**  | **-0.191 (1.8% better)** | **+1.1%** ✅ |
| Q4_K_M  | 10.4239         | **10.2355**  | **-0.188 (1.8% better)** | **+1.2%** |
| Q4_K_S  | 10.6837         | **10.2943**  | **-0.389 (3.6% better)** | **+1.8%** |

### Revised Comparison (All with imatrix)

| Model   | PPL (imatrix) | vs Q4_K_HIFI | vs F16 | Size |
|---------|---------------|------------|--------|------|
| Q4_K_HIFI | 10.2225       | baseline   | **+1.1%** ✅ | 4.93 GiB |
| Q4_K_M  | 10.2355       | +0.013 (+0.1%) | +1.2% | 4.68 GiB |
| Q4_K_S  | 10.2943       | +0.072 (+0.7%) | +1.8% | 4.47 GiB |

### Key Findings

**Q4_K_HIFI is the best choice with imatrix:**

| Comparison | Without imatrix | With imatrix |
|------------|-----------------|--------------|
| Q4_K_HIFI vs Q4_K_M | **-0.1%** (Q4_K_HIFI better) ✅ | **-0.1%** (Q4_K_HIFI better) ✅ |
| Q4_K_HIFI vs Q4_K_S | **-2.5%** (Q4_K_HIFI better) ✅ | **-0.7%** (Q4_K_HIFI better) ✅ |

### Revised Recommendations (When Using imatrix)

| Priority          | Without imatrix | With imatrix |
|-------------------|-----------------|--------------|
| **Quality First** | Q4_K_HIFI ✅ | **Q4_K_HIFI** ✅ (best perplexity) |
| **Best Balance**  | Q4_K_HIFI ✅ | **Q4_K_HIFI** ✅ |
| **Size/Speed**    | Q4_K_S | Q4_K_S |

### Conclusion

**For both imatrix and non-imatrix quantization:**
- Q4_K_HIFI consistently outperforms Q4_K_M in perplexity (10.2225 vs 10.2355 with imatrix, 10.4133 vs 10.4239 without)
- Q4_K_HIFI is 5.3% larger than Q4_K_M (4.93 GiB vs 4.68 GiB)
- **Q4_K_HIFI + imatrix** offers the best quality with acceptable size/speed tradeoffs

**Q4_K_HIFI advantages:**
- Best perplexity in all scenarios (with and without imatrix)
- Q6_K_HIFI_RES8 format captures weight outliers that standard quantization misses
- Significantly better quality than Q4_K_S (2.5% without imatrix, 0.7% with imatrix)

---

## Appendix (Test Environment Details)

| Component     | Specification                          |
|---------------|----------------------------------------|
| **OS**        | Ubuntu 24.04.3 LTS                     |
| **CPU**       | AMD EPYC 9254 24-Core Processor        |
| **CPU Cores** | 96 cores (2 threads/core)              |
| **RAM**       | 1.0Ti                                  |
| **GPU**       | NVIDIA L40S × 2                        |
| **VRAM**      | 46068 MiB per GPU                      |
| **CUDA**      | 12.9                                   |
| **Test Data** | wikitext-2-raw, 584 chunks             |
| **Context**   | 512 tokens                             |
| **Samples**   | 100 per speed benchmark                |
| **imatrix**   | mixed-imatrix-dataset.txt, 4697 chunks |