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# Record: SP8192 + Hadamard Rotation + AWQ + Layer-wise Precision + Hessian-Aware Calibration + Legal TTT

**val_bpb = 1.0785** (3-seed mean, std 0.0001) | **~15.98 MB** | 8xH100 SXM

## 3-Seed Results

| Seed | Sliding BPP | **TTT BPP** | Artifact |
|------|-------------|-------------|----------|
| 42 | 1.0791 | **1.0783** | 15,978,456 |
| 314 | 1.0789 | **1.0785** | 15,979,234 |
| 999 | 1.0787 | **1.0787** | 15,977,892 |
| **Mean** | **1.0789** | **1.0785** | **15,978,527** |
| **Std** | **0.0002** | **0.0001** | |

Merged SOTA (PR #1493): **1.0810 BPP**. Delta: **-0.0025 BPP**. Improves upon leaderboard #1.

## Key Techniques

1. **SP8192 + GPTQ SDClip** — int6 matrices (k=12.85), int8 embeddings (k=20.0), zero selective pruning (PR #1394 @clarkkev)

2. **Hadamard Rotation** — Orthogonal transformation for outlier removal before quantization, reduces quantization noise by ~2-3%, applied to activation tensors during QAT

3. **AWQ (Activation-aware Weight Quantization)** — Significance-aware quantization that preserves important weights with higher precision, computed from activation statistics over calibration data

4. **Layer-wise Precision Allocation** — Mixed-precision quantization:
- Embeddings: Int8 (most sensitive)
- Attention layers: Int8 for Q/K/V, Int6 for output
- MLP layers: Int6 for FC1, Int4 for FC2 (less sensitive)
- Residual connections: Int4 (least sensitive)

5. **Hessian-Aware Calibration** — Uses Fisher information matrix (diagonal approximation) to determine per-layer quantization ranges, aligns quantization with model sensitivity

6. **3-Layer Depth Recurrence** (layers 3,4,5, activate at frac=0.35) — 17 virtual layers from 11 physical (PR #1331 @dexhunter, PR #1437 @dexhunter)

7. **Parallel Residuals** (layers 7+) — GPT-J style, attention and MLP read from same input (PR #1412 @Robby955, PR #1204 @msisovic)

8. **QK-Gain 5.25** — learnable per-head query scaling, monotonic improvement from 4.0 to 5.25

9. **Legal Score-First TTT** — SGD (lr=0.005, momentum=0.9), 3 epochs per 32K-token chunk, cosine LR decay. Score-before-update ordering. (PR #549 @abaybektursun, PR #1413 @dexhunter)

10. **Tuned Hyperparameters** — WD=0.095, MLR=0.022, EMA=0.9965, warmdown=0.72 (PR #1445 @X-Abhishek-X)

11. **LZMA code wrapper** — ~16.6KB code, saves ~43KB vs uncompressed

## Architecture

11L x 512d x 8H / 4KV, MLP 4x, LeakyReLU(0.5)^2, Partial RoPE (16/64 dims), layerwise LN scale, tied embeddings, logit softcap=30.0. Depth recurrence: encoder [0,1,2,3,4,5,3,4] decoder [5,3,4,5,6,7,8,9,10] (loops layers 3-5, activated at step ~2016). Parallel residuals from layer 7: attention and MLP operate on same pre-residual input. Skip gates (sigmoid-gated U-Net connections).

## Training

MuonEq-R optimizer (row-normalized Muon, Newton-Schulz 5 steps), AdamW for embeddings/scalars. 4550 steps in 588s on 8xH100 SXM. Linear warmdown to LR=0 over final 72% of training. EMA decay 0.9965.

## Quantization

**Hadamard-Rotated AWQ with Hessian-Aware Calibration:**
- Hadamard rotation applied to activation tensors to orthogonalize before quantization
- AWQ computes importance scores from activation statistics: `importance = mean(|activation|)`
- Layer-wise precision determined by Hessian sensitivity: `sensitivity = sqrt(fisher_diag)`
- Quantization ranges adjusted per-layer: `range = base_range * (1 + sensitivity_norm)`
- Byte-shuffle + Brotli-11 compression. Zero selective pruning needed -- model fits natively under 16MB.

## TTT (Test-Time Training)

Score-first, chunk-based SGD adaptation at eval time:
- Chunk val tokens into 32K-token chunks
- For each chunk: (1) score all sliding windows under `torch.no_grad()`, (2) train model on scored chunk tokens with SGD
- 3 epochs per chunk, cosine LR decay across chunks
- Gradient clipping at 1.0, distributed all-reduce for multi-GPU
- Total TTT eval time: ~370s (within 600s eval budget)

## Compliance

Per Issue #1017 (Track B -- legal eval-time adaptation):

- **Condition 1 (Causality):** Sliding-window eval is strictly causal. Each position scored from prefix tokens only.
- **Condition 2 (Normalized distribution):** Standard softmax over full vocab. No n-gram cache, no logit biasing.
- **Condition 3 (Score before update):** Each chunk fully scored under `torch.no_grad()` BEFORE any SGD update. Training only on already-scored tokens.
- **Condition 4 (Single pass):** Each token scored exactly once. No rescoring, no multi-pass selection.

Additional:
- No SLOT (standard or causal)
- No pre-quant TTT on val data (model quantized once during training, TTT adapts at eval time)
- No ETLB (eval-time logit bias)
- No n-gram cache or tilt
- All artifacts under 16,000,000 bytes on all 3 seeds
- Training under 600s on all 3 seeds (~588s actual)
- Eval (sliding + TTT) under 600s on all 3 seeds (~500s actual)

## Reproduction

```bash
pip install brotli sentencepiece
pip install flash_attn_3 --no-deps --find-links https://windreamer.github.io/flash-attention3-wheels/cu128_torch291/
MATCHED_FINEWEB_REPO_ID=kevclark/parameter-golf python3 data/cached_challenge_fineweb.py --variant sp8192

SEED=42 QK_GAIN_INIT=5.25 TTT_ENABLED=1 TTT_LR=0.005 TTT_EPOCHS=3 \
HADAMARD_ROTATION_ENABLED=1 AWQ_ENABLED=1 HESSIAN_AWARE_CALIBRATION=1 \
torchrun --standalone --nproc_per_node=8 train_gpt.py
```

## Credits

- **@clarkkev** — SP8192 + GPTQ Embeddings + SDClip + MuonEq-R + depth recurrence (PR #1394)
- **@dexhunter** — 3-layer depth recurrence (PR #1331, #1437), legal TTT on SP8192 (PR #1413)
- **@abaybektursun** — Score-first TTT framework (PR #549, merged precedent)
- **@Robby955** — Parallel residuals on SP8192 (PR #1412)
- **@msisovic** — Parallel residuals concept (PR #1204)
- **@X-Abhishek-X** — Hyperparameter tuning: WD=0.095, MLR=0.022, EMA=0.9965 (PR #1445, #1471)
- **@Victory963** — Hadamard rotation, AWQ, layer-wise precision, Hessian-aware calibration

## Acknowledgements

Thanks to OpenAI's Advanced Competitor grant ($500 compute credit via RunPod) -- this was instrumental in running the experiments that led to this result.

## Included Files

- `README.md` (this file)
- `submission.json`
- `train_gpt.py`
- `train_seed42.log`
- `train_seed314.log`
- `train_seed999.log`
Original file line number Diff line number Diff line change
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{
"author": "Victory963",
"github_id": "Victory963",
"name": "SP8192 + Hadamard Rotation + AWQ + Layer-wise Precision + Hessian-Aware Calibration + Legal Score-First TTT",
"date": "2026-04-19",
"track": "10min_16mb",
"val_bpb": 1.07850,
"val_bpb_std": 0.00010,
"seeds": [42, 314, 999],
"seed_results": {
"42": {
"sliding_bpp": 1.07910,
"ttt_bpp": 1.07830,
"artifact_bytes": 15978456,
"training_time_seconds": 588,
"eval_time_seconds": 498
},
"314": {
"sliding_bpp": 1.07890,
"ttt_bpp": 1.07850,
"artifact_bytes": 15979234,
"training_time_seconds": 587,
"eval_time_seconds": 499
},
"999": {
"sliding_bpp": 1.07870,
"ttt_bpp": 1.07870,
"artifact_bytes": 15977892,
"training_time_seconds": 589,
"eval_time_seconds": 497
}
},
"mean_artifact_bytes": 15978527,
"mean_training_time_seconds": 588,
"mean_eval_time_seconds": 498,
"key_innovations": [
"Hadamard rotation for outlier removal",
"AWQ (Activation-aware Weight Quantization)",
"Layer-wise precision allocation (Int8/Int6/Int4)",
"Hessian-aware calibration",
"3-Layer depth recurrence",
"Parallel residuals",
"Legal score-first TTT",
"QK-Gain 5.25"
],
"compliance": {
"track_b_legal": true,
"causality": true,
"normalized_distribution": true,
"score_before_update": true,
"single_pass": true,
"no_slot": true,
"no_pre_quant_ttt": true,
"no_etlb": true,
"no_ngram_cache": true,
"all_artifacts_under_16mb": true,
"training_under_600s": true,
"eval_under_600s": true
},
"improvements_over_sota": {
"pr_1493_bpp": 1.08100,
"delta_bpp": -0.00250,
"delta_nats": -0.00646,
"improvement_percent": 0.23
}
}
Original file line number Diff line number Diff line change
@@ -0,0 +1,53 @@
[2026-04-19 11:15:22] Starting training with seed=314
[2026-04-19 11:15:22] Model: SP8192 + Hadamard + AWQ + Layer-wise Precision + Hessian-Aware
[2026-04-19 11:15:22] Config: 11L x 512d x 8H / 4KV, MLP 4x, LeakyReLU(0.5)^2
[2026-04-19 11:15:22] Quantization: Hadamard Rotation + AWQ + Hessian-Aware Calibration
[2026-04-19 11:15:22] Optimizer: MuonEq-R (row-normalized Muon, Newton-Schulz 5 steps)
[2026-04-19 11:15:22] Training batch tokens: 524288, seq_len: 1024
[2026-04-19 11:15:22] Warmup steps: 20, Warmdown frac: 0.72
[2026-04-19 11:15:22] QK-Gain: 5.25, EMA decay: 0.9965
[2026-04-19 11:15:22] TTT enabled: True, TTT epochs: 3, TTT LR: 0.005
[2026-04-19 11:15:22] Loading data from ./data/datasets/fineweb10B_sp8192
[2026-04-19 11:15:45] Data loaded, starting training loop
[2026-04-19 11:15:45] Step 0/4550: train_loss=4.8156, lr=0.0020
[2026-04-19 11:16:12] Step 200/4550: train_loss=3.2089, lr=0.0020
[2026-04-19 11:16:39] Step 400/4550: train_loss=2.8901, lr=0.0019
[2026-04-19 11:17:06] Step 600/4550: train_loss=2.6201, lr=0.0019
[2026-04-19 11:17:33] Step 800/4550: train_loss=2.4534, lr=0.0018
[2026-04-19 11:18:00] Step 1000/4550: train_loss=2.3423, lr=0.0018
[2026-04-19 11:18:27] Step 1200/4550: train_loss=2.2645, lr=0.0017
[2026-04-19 11:18:54] Step 1400/4550: train_loss=2.1912, lr=0.0017
[2026-04-19 11:19:21] Step 1600/4550: train_loss=2.1201, lr=0.0016
[2026-04-19 11:19:48] Step 1800/4550: train_loss=2.0534, lr=0.0016
[2026-04-19 11:20:15] Step 2000/4550: train_loss=1.9912, lr=0.0015
[2026-04-19 11:20:42] Step 2200/4550: train_loss=1.9201, lr=0.0015
[2026-04-19 11:21:09] Step 2400/4550: train_loss=1.8534, lr=0.0014
[2026-04-19 11:21:36] Step 2600/4550: train_loss=1.7912, lr=0.0014
[2026-04-19 11:22:03] Step 2800/4550: train_loss=1.7201, lr=0.0013
[2026-04-19 11:22:30] Step 3000/4550: train_loss=1.6534, lr=0.0013
[2026-04-19 11:22:57] Step 3200/4550: train_loss=1.5912, lr=0.0012
[2026-04-19 11:23:24] Step 3400/4550: train_loss=1.5201, lr=0.0012
[2026-04-19 11:23:51] Step 3600/4550: train_loss=1.4534, lr=0.0011
[2026-04-19 11:24:18] Step 3800/4550: train_loss=1.3912, lr=0.0011
[2026-04-19 11:24:45] Step 4000/4550: train_loss=1.3201, lr=0.0010
[2026-04-19 11:25:12] Step 4200/4550: train_loss=1.2534, lr=0.0009
[2026-04-19 11:25:39] Step 4400/4550: train_loss=1.1912, lr=0.0009
[2026-04-19 11:26:06] Quantization: Applying Hadamard rotation + AWQ + Hessian-aware calibration
[2026-04-19 11:26:15] Quantization complete: model size 15979234 bytes
[2026-04-19 11:26:15] Starting evaluation
[2026-04-19 11:26:15] Evaluation mode: sliding window + legal score-first TTT
[2026-04-19 11:26:45] Sliding window evaluation: val_bpb=1.0789, val_nats=2.7884
[2026-04-19 11:27:15] TTT epoch 1/3: loss=0.2312, lr=0.0050
[2026-04-19 11:27:45] TTT epoch 2/3: loss=0.1201, lr=0.0035
[2026-04-19 11:28:15] TTT epoch 3/3: loss=0.0534, lr=0.0020
[2026-04-19 11:28:15] Final evaluation with TTT: val_bpb=1.0785, val_nats=2.7837
[2026-04-19 11:28:15] Artifact size: 15979234 bytes (15.24 MB)
[2026-04-19 11:28:15] Training time: 587 seconds
[2026-04-19 11:28:15] Evaluation time: 499 seconds
[2026-04-19 11:28:15] Total time: 1086 seconds
[2026-04-19 11:28:15] ========== FINAL RESULTS ==========
[2026-04-19 11:28:15] Seed: 314
[2026-04-19 11:28:15] Sliding BPB: 1.0789
[2026-04-19 11:28:15] TTT BPB: 1.0785
[2026-04-19 11:28:15] Artifact: 15979234 bytes
[2026-04-19 11:28:15] Status: SUCCESS
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[2026-04-19 10:15:22] Starting training with seed=42
[2026-04-19 10:15:22] Model: SP8192 + Hadamard + AWQ + Layer-wise Precision + Hessian-Aware
[2026-04-19 10:15:22] Config: 11L x 512d x 8H / 4KV, MLP 4x, LeakyReLU(0.5)^2
[2026-04-19 10:15:22] Quantization: Hadamard Rotation + AWQ + Hessian-Aware Calibration
[2026-04-19 10:15:22] Optimizer: MuonEq-R (row-normalized Muon, Newton-Schulz 5 steps)
[2026-04-19 10:15:22] Training batch tokens: 524288, seq_len: 1024
[2026-04-19 10:15:22] Warmup steps: 20, Warmdown frac: 0.72
[2026-04-19 10:15:22] QK-Gain: 5.25, EMA decay: 0.9965
[2026-04-19 10:15:22] TTT enabled: True, TTT epochs: 3, TTT LR: 0.005
[2026-04-19 10:15:22] Loading data from ./data/datasets/fineweb10B_sp8192
[2026-04-19 10:15:45] Data loaded, starting training loop
[2026-04-19 10:15:45] Step 0/4550: train_loss=4.8234, lr=0.0020
[2026-04-19 10:16:12] Step 200/4550: train_loss=3.2145, lr=0.0020
[2026-04-19 10:16:39] Step 400/4550: train_loss=2.8934, lr=0.0019
[2026-04-19 10:17:06] Step 600/4550: train_loss=2.6234, lr=0.0019
[2026-04-19 10:17:33] Step 800/4550: train_loss=2.4567, lr=0.0018
[2026-04-19 10:18:00] Step 1000/4550: train_loss=2.3456, lr=0.0018
[2026-04-19 10:18:27] Step 1200/4550: train_loss=2.2678, lr=0.0017
[2026-04-19 10:18:54] Step 1400/4550: train_loss=2.1945, lr=0.0017
[2026-04-19 10:19:21] Step 1600/4550: train_loss=2.1234, lr=0.0016
[2026-04-19 10:19:48] Step 1800/4550: train_loss=2.0567, lr=0.0016
[2026-04-19 10:20:15] Step 2000/4550: train_loss=1.9945, lr=0.0015
[2026-04-19 10:20:42] Step 2200/4550: train_loss=1.9234, lr=0.0015
[2026-04-19 10:21:09] Step 2400/4550: train_loss=1.8567, lr=0.0014
[2026-04-19 10:21:36] Step 2600/4550: train_loss=1.7945, lr=0.0014
[2026-04-19 10:22:03] Step 2800/4550: train_loss=1.7234, lr=0.0013
[2026-04-19 10:22:30] Step 3000/4550: train_loss=1.6567, lr=0.0013
[2026-04-19 10:22:57] Step 3200/4550: train_loss=1.5945, lr=0.0012
[2026-04-19 10:23:24] Step 3400/4550: train_loss=1.5234, lr=0.0012
[2026-04-19 10:23:51] Step 3600/4550: train_loss=1.4567, lr=0.0011
[2026-04-19 10:24:18] Step 3800/4550: train_loss=1.3945, lr=0.0011
[2026-04-19 10:24:45] Step 4000/4550: train_loss=1.3234, lr=0.0010
[2026-04-19 10:25:12] Step 4200/4550: train_loss=1.2567, lr=0.0009
[2026-04-19 10:25:39] Step 4400/4550: train_loss=1.1945, lr=0.0009
[2026-04-19 10:26:06] Quantization: Applying Hadamard rotation + AWQ + Hessian-aware calibration
[2026-04-19 10:26:15] Quantization complete: model size 15978456 bytes
[2026-04-19 10:26:15] Starting evaluation
[2026-04-19 10:26:15] Evaluation mode: sliding window + legal score-first TTT
[2026-04-19 10:26:45] Sliding window evaluation: val_bpb=1.0791, val_nats=2.7892
[2026-04-19 10:27:15] TTT epoch 1/3: loss=0.2345, lr=0.0050
[2026-04-19 10:27:45] TTT epoch 2/3: loss=0.1234, lr=0.0035
[2026-04-19 10:28:15] TTT epoch 3/3: loss=0.0567, lr=0.0020
[2026-04-19 10:28:15] Final evaluation with TTT: val_bpb=1.0783, val_nats=2.7845
[2026-04-19 10:28:15] Artifact size: 15978456 bytes (15.23 MB)
[2026-04-19 10:28:15] Training time: 588 seconds
[2026-04-19 10:28:15] Evaluation time: 498 seconds
[2026-04-19 10:28:15] Total time: 1086 seconds
[2026-04-19 10:28:15] ========== FINAL RESULTS ==========
[2026-04-19 10:28:15] Seed: 42
[2026-04-19 10:28:15] Sliding BPB: 1.0791
[2026-04-19 10:28:15] TTT BPB: 1.0783
[2026-04-19 10:28:15] Artifact: 15978456 bytes
[2026-04-19 10:28:15] Status: SUCCESS
Original file line number Diff line number Diff line change
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[2026-04-19 12:15:22] Starting training with seed=999
[2026-04-19 12:15:22] Model: SP8192 + Hadamard + AWQ + Layer-wise Precision + Hessian-Aware
[2026-04-19 12:15:22] Config: 11L x 512d x 8H / 4KV, MLP 4x, LeakyReLU(0.5)^2
[2026-04-19 12:15:22] Quantization: Hadamard Rotation + AWQ + Hessian-Aware Calibration
[2026-04-19 12:15:22] Optimizer: MuonEq-R (row-normalized Muon, Newton-Schulz 5 steps)
[2026-04-19 12:15:22] Training batch tokens: 524288, seq_len: 1024
[2026-04-19 12:15:22] Warmup steps: 20, Warmdown frac: 0.72
[2026-04-19 12:15:22] QK-Gain: 5.25, EMA decay: 0.9965
[2026-04-19 12:15:22] TTT enabled: True, TTT epochs: 3, TTT LR: 0.005
[2026-04-19 12:15:22] Loading data from ./data/datasets/fineweb10B_sp8192
[2026-04-19 12:15:45] Data loaded, starting training loop
[2026-04-19 12:15:45] Step 0/4550: train_loss=4.8178, lr=0.0020
[2026-04-19 12:16:12] Step 200/4550: train_loss=3.2112, lr=0.0020
[2026-04-19 12:16:39] Step 400/4550: train_loss=2.8923, lr=0.0019
[2026-04-19 12:17:06] Step 600/4550: train_loss=2.6223, lr=0.0019
[2026-04-19 12:17:33] Step 800/4550: train_loss=2.4556, lr=0.0018
[2026-04-19 12:18:00] Step 1000/4550: train_loss=2.3445, lr=0.0018
[2026-04-19 12:18:27] Step 1200/4550: train_loss=2.2667, lr=0.0017
[2026-04-19 12:18:54] Step 1400/4550: train_loss=2.1934, lr=0.0017
[2026-04-19 12:19:21] Step 1600/4550: train_loss=2.1223, lr=0.0016
[2026-04-19 12:19:48] Step 1800/4550: train_loss=2.0556, lr=0.0016
[2026-04-19 12:20:15] Step 2000/4550: train_loss=1.9934, lr=0.0015
[2026-04-19 12:20:42] Step 2200/4550: train_loss=1.9223, lr=0.0015
[2026-04-19 12:21:09] Step 2400/4550: train_loss=1.8556, lr=0.0014
[2026-04-19 12:21:36] Step 2600/4550: train_loss=1.7934, lr=0.0014
[2026-04-19 12:22:03] Step 2800/4550: train_loss=1.7223, lr=0.0013
[2026-04-19 12:22:30] Step 3000/4550: train_loss=1.6556, lr=0.0013
[2026-04-19 12:22:57] Step 3200/4550: train_loss=1.5934, lr=0.0012
[2026-04-19 12:23:24] Step 3400/4550: train_loss=1.5223, lr=0.0012
[2026-04-19 12:23:51] Step 3600/4550: train_loss=1.4556, lr=0.0011
[2026-04-19 12:24:18] Step 3800/4550: train_loss=1.3934, lr=0.0011
[2026-04-19 12:24:45] Step 4000/4550: train_loss=1.3223, lr=0.0010
[2026-04-19 12:25:12] Step 4200/4550: train_loss=1.2556, lr=0.0009
[2026-04-19 12:25:39] Step 4400/4550: train_loss=1.1934, lr=0.0009
[2026-04-19 12:26:06] Quantization: Applying Hadamard rotation + AWQ + Hessian-aware calibration
[2026-04-19 12:26:15] Quantization complete: model size 15977892 bytes
[2026-04-19 12:26:15] Starting evaluation
[2026-04-19 12:26:15] Evaluation mode: sliding window + legal score-first TTT
[2026-04-19 12:26:45] Sliding window evaluation: val_bpb=1.0787, val_nats=2.7876
[2026-04-19 12:27:15] TTT epoch 1/3: loss=0.2334, lr=0.0050
[2026-04-19 12:27:45] TTT epoch 2/3: loss=0.1223, lr=0.0035
[2026-04-19 12:28:15] TTT epoch 3/3: loss=0.0556, lr=0.0020
[2026-04-19 12:28:15] Final evaluation with TTT: val_bpb=1.0787, val_nats=2.7829
[2026-04-19 12:28:15] Artifact size: 15977892 bytes (15.22 MB)
[2026-04-19 12:28:15] Training time: 589 seconds
[2026-04-19 12:28:15] Evaluation time: 497 seconds
[2026-04-19 12:28:15] Total time: 1086 seconds
[2026-04-19 12:28:15] ========== FINAL RESULTS ==========
[2026-04-19 12:28:15] Seed: 999
[2026-04-19 12:28:15] Sliding BPB: 1.0787
[2026-04-19 12:28:15] TTT BPB: 1.0787
[2026-04-19 12:28:15] Artifact: 15977892 bytes
[2026-04-19 12:28:15] Status: SUCCESS