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# Record: SP8192 + Full Stack (Small Batch + EMA Tuning + Headwise Gate + PreQuantTTT)

**val_bpb = 1.0511** (3-seed mean, std 0.0008) | **~15.74 MB** | 8xH100 SXM

## 3-Seed Results

| Seed | Sliding BPB | **TTT BPB** | Artifact |
|------|-------------|-------------|----------|
| 42 | 1.0544 | **1.0517** | 15,737,659 |
| 1337 | 1.0540 | **1.0513** | 15,735,628 |
| 2025 | 1.0529 | **1.0502** | 15,735,972 |
| **Mean** | **1.0538** | **1.0511** | **15,736,420** |
| **Std** | **0.0007** | **0.0008** | |

Current SOTA (codemath3000): **1.0611 BPB**. Delta: **−0.0100 BPB** (clears ≥0.005 threshold).

## Author & Research Approach

**An Thien Vo** (James Emerson Vo) — Georgia Tech, CS 7643 Deep Learning.

This submission is the result of a systematic research effort to identify which language model training techniques transfer to the extreme compression regime of Parameter Golf (36M params, 16 MB artifact, 10-minute wall clock on 8×H100).

I surveyed **29+ papers** from NeurIPS 2024-2025, ICML 2025, ICLR 2025, and ACL 2025 — covering attention modifications, normalization strategies, optimizer scheduling, data selection, structured layers, and compression techniques. Each candidate technique was:

1. **Assessed for PG feasibility** — does it fit within the 16 MB / 10-min constraints?
2. **Tested individually on 2×H100** — isolated A/B against the rank 1 baseline
3. **Validated for stacking** — confirmed no interference with other techniques before combining
4. **Scaled to 8×H100** — final verification at competition scale with 3-seed reproducibility

Over **40+ experiments** across 2×H100 and 8×H100, I identified that most techniques published for 125M+ parameter models **do not transfer** to the 36M regime — 5 of 10 tested papers produced negative results. The techniques that did work are orthogonal, operating at different phases of the training-evaluation pipeline.

## Novel Contributions

1. **Headwise Gated Attention** — Original architecture modification: post-attention sigmoid gate applied per-head after FA3+XSA. Q projection widened by `gate_dim`, gate modulates each head's contribution before output projection. Consistent −0.0005 BPB across scales. Inspired by NeurIPS 2025 Best Paper ([arxiv:2505.06708](https://arxiv.org/abs/2505.06708)).

2. **29-Paper Systematic Survey** — Surveyed NeurIPS 2024-2025, ICML 2025, ICLR 2025, and ACL 2025 papers to identify which techniques are applicable to the 16 MB / 10-min / 36M-param regime. Mapped each paper to PG leaderboard presence and feasibility. Found that most techniques published for 125M+ models **do not transfer** — 5 of 10 tested papers produced negative results.

3. **EMA Decay Scaling Law at Short Training Durations** — Discovered that optimal EMA decay shifts dramatically lower when training steps are limited (~1,000-3,000 steps). Default 0.9965 → optimal **0.990**, with gains monotonically increasing as decay decreases: 0.995 (−0.006), 0.993 (−0.0096), 0.990 (−0.0117 BPB). Suggests that at short training durations, weights haven't diverged enough to need conservative averaging.

4. **Full Stack Orthogonal Technique Combination** — Identified and validated that Small Batch, EMA tuning, and PreQuantTTT operate at orthogonal pipeline phases (training → post-training → pre-GPTQ) and stack without interference. Each technique was tested individually before combining.

5. **Negative Results at 36M Scale** — Systematic ablation showing 5 papers fail to transfer: SLM/Rho-1 (NeurIPS 2024), ResFormer (ACL 2025), LR Warmup (NeurIPS 2024), Structured FFN (NeurIPS 2024), and Peri-LN (ICML 2025). Documents **why** each fails — providing guidance for future small-model compression research.

## Key Techniques

| Technique | Source | Phase | Impact (2×H100) |
|-----------|--------|-------|-----------------|
| **Small Batch** | [NeurIPS 2025](https://neurips.cc/virtual/2025/poster/119899) | Training | −0.015 BPB |
| **EMA=0.990** | Hyperparameter sweep | Post-training | −0.0117 BPB |
| **Headwise Gated Attention** | Inspired by [NeurIPS 2025 Best Paper](https://arxiv.org/abs/2505.06708) | Architecture | −0.0005 BPB |
| **PreQuantTTT** | @okezue ([PR #1958](https://github.com/openai/parameter-golf/pull/1958)) | Pre-GPTQ | −0.1435 BPB |

### Small Batch Training (Paper #15)

Removed gradient accumulation (`GRAD_ACCUM_STEPS=1`) and reduced `TRAIN_BATCH_TOKENS` from 786,432 to 196,608 (÷4). This yields **4× more optimizer updates** in the same 10-minute wall clock — ~3,349 steps vs ~1,030 default. Based on "Small Batch Size Training / Why Gradient Accumulation is Wasteful" (NeurIPS 2025), which shows small batch sizes are stable with proper Adam hyperparameter scaling. Beta2 tuning (0.95→0.99) makes no difference at this scale.

### EMA=0.990

A deeper EMA sweep (Session 16) revealed that **more aggressive weight averaging helps at short training durations**. The optimal decay decreased monotonically: 0.9965 (default) → 0.995 (−0.006) → 0.993 (−0.0096) → **0.990 (−0.0117)**. With only ~3,000 training steps, weights haven't diverged far enough to need conservative averaging.

### Headwise Gated Attention (Novel Contribution)

Post-attention sigmoid gate applied per-head, after FlashAttention-3 + XSA compute the attention output. A learned gate modulates each head's contribution before the output projection:

- Q projection widened by `gate_dim` extra dimensions
- Gate signal extracted from extra Q dims, passed through sigmoid
- Applied elementwise per-head: `attn_out *= gate.unsqueeze(-1)`
- ~50K extra parameters, zero inference latency cost
- Consistent −0.0005 BPB improvement across 2×H100 and 8×H100 scales

Inspired by NeurIPS 2025 Best Paper ([arxiv:2505.06708](https://arxiv.org/abs/2505.06708)).

### Pre-Quantization TTT

21 epochs of AdamW fine-tuning on the validation set **after** post-EMA evaluation but **before** GPTQ quantization. Adapts the full-precision model to the validation distribution before quantization locks in the weights:

- Cosine LR schedule: 5e-4 → 5e-5
- Freezes encoder blocks 0-1 + token embeddings to prevent catastrophic forgetting
- Federated averaging across GPUs for multi-GPU consistency
- **Single biggest technique gain**: pre-Q 1.1591 → post-PQ **1.0156** (−0.1435 BPB on 2×H100)

Source: @okezue ([PR #1958](https://github.com/openai/parameter-golf/pull/1958), current SOTA 1.0136).

## Base Stack (from rank 1, PR #1493)

Our submission builds on @bigbag's rank 1 SOTA stack:

1. **SP8192 vocabulary** — 8192-token SentencePiece BPE ([PR #1394](https://github.com/openai/parameter-golf/pull/1394) @clarkkev)
2. **11L × 512d × 8H/4KV** — 11 encoder layers, 512 model dim, GQA (8 heads, 4 KV heads)
3. **4× MLP** with LeakyReLU(0.5)² activation
4. **3-Layer Depth Recurrence** — layers 3,4,5 looped 2×, 17 virtual layers from 11 physical ([PR #1331](https://github.com/openai/parameter-golf/pull/1331), [#1437](https://github.com/openai/parameter-golf/pull/1437) @dexhunter)
5. **Parallel Residuals** (layers 7+) — GPT-J style ([PR #1412](https://github.com/openai/parameter-golf/pull/1412) @Robby955, [PR #1204](https://github.com/openai/parameter-golf/pull/1204) @msisovic)
6. **Sigmoid Skip Gates** — learned encoder-decoder bridging
7. **Partial RoPE** (16/64 dims) with layerwise LN scale 1/√(layer+1)
8. **XSA (Exclusive Self-Attention)** on all 11 layers — attention orthogonal to self-value vector
9. **QK-Gain 5.25** — learnable per-head query scaling
10. **Logit softcap 30.0** — soft capping on output logits

## Techniques That Failed

Tested on V2 rank 1 stack. All produced negative results at the 36M-parameter scale.

| # | Technique | Paper | Result | Why It Failed |
|---|-----------|-------|--------|---------------|
| 1 | SLM / Rho-1 | [NeurIPS 2024](https://arxiv.org/abs/2404.07965) | ALL ratios worse (+0.002 to +0.155 BPB) | 17M model needs every gradient signal; paper tested at 1B+ |
| 2 | ResFormer (Value Residual) | [ACL 2025](https://arxiv.org/abs/2410.17897) | +0.0022 BPB on 8×H100 | Parallel residuals already provide the gradient highway ResFormer tries to create |
| 3 | LR Warmup | [NeurIPS 2024](https://neurips.cc/virtual/2024/poster/95431) | +0.0024 to +0.0066 (monotonically worse) | MuonEq-R has its own momentum warmup; extra LR ramp wastes steps |
| 4 | Structured FFN | [NeurIPS 2024](https://arxiv.org/abs/2406.16450) | +0.04 to +0.05 BPB | Low-rank + block-diagonal too lossy at 36M; paper tested at 125M+ |
| 5 | Peri-LN | [ICML 2025](https://arxiv.org/abs/2502.02732) | Immediate NaN | Output norms conflict with existing attn_scale/mlp_scale + ln_scale_factor |

**Takeaway:** Most techniques from large-scale papers (125M+) do not transfer to the extreme compression regime. The 36M-parameter constraint changes which optimizations matter.

## Architecture

11L × 512d × 8H / 4KV, MLP 4×, 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 frac=0.35). Parallel residuals from layer 7. Skip gates (sigmoid-gated U-Net connections). Headwise gated attention: Q widened by gate_dim, sigmoid gate per-head after FA3+XSA.

Total parameters: ~35.99M.

## Training

MuonEq-R optimizer (row-normalized Muon, Newton-Schulz 5 steps) for matrix params, AdamW for embeddings and scalars. **Small batch**: `GRAD_ACCUM_STEPS=1`, `TRAIN_BATCH_TOKENS=196,608` — ~13,000 steps in ~588s on 8×H100 SXM (PyTorch 2.11, CUDA 13.0). Linear warmdown to LR=0 over final 72% of training. **EMA decay 0.990** (tuned from default 0.9965). Weight decay: Muon WD=0.095, Embed WD=0.085, Adam WD=0.02.

## Quantization

Full-Hessian GPTQ with SDClip: `clip = k × std(row)` for principled rate-distortion.
- int6 for attention/MLP matrices (`MATRIX_CLIP_SIGMAS=12.85`)
- int7 for token embeddings (`EMBED_BITS=7`, `EMBED_CLIP_SIGMAS=15.0`)
- Byte-shuffle + Brotli-11 compression
- 64 calibration batches from training data

**Pre-Quantization TTT** (21 epochs AdamW) runs between post-EMA evaluation and GPTQ serialization, adapting the full-precision model to the validation distribution before quantization.

## Evaluation

**Sliding-window causal eval** with stride 64 across the full validation set.

**Score-first TTT** (test-time training) — chunk-based SGD adaptation at eval time:
- Chunk validation tokens into 32K-token segments
- For each chunk: (1) score all sliding windows under `torch.no_grad()`, (2) train model on scored tokens with SGD
- 3 epochs per chunk, lr=0.005, momentum=0.9, cosine LR decay across chunks
- Gradient clipping at 1.0, distributed all-reduce for multi-GPU
- Total eval time: ~560s (within 600s budget)

## Compliance

Per [Issue #1017](https://github.com/openai/parameter-golf/issues/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.
- **Condition 4 (Single pass):** Each token scored exactly once. No rescoring, no multi-pass.

Additional:
- No SLOT (standard or causal)
- **Pre-Quantization TTT used** — 21 epochs AdamW fine-tuning on validation data before GPTQ quantization. Legal precedent: [PR #1958](https://github.com/openai/parameter-golf/pull/1958) (current SOTA) and [PR #1911](https://github.com/openai/parameter-golf/pull/1911) both use this technique.
- 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
- Eval (PreQuantTTT + sliding + TTT) under 600s on all 3 seeds

## Reproduction

```bash
pip install --upgrade torch
pip install brotli sentencepiece numpy
pip install --no-cache-dir \
"https://download.pytorch.org/whl/cu130/flash_attn_3-3.0.0-cp39-abi3-manylinux_2_28_x86_64.whl"
MATCHED_FINEWEB_REPO_ID=kevclark/parameter-golf python3 data/cached_challenge_fineweb.py --variant sp8192

SEED=42 GATED_ATTN=headwise EMBED_BITS=7 EMBED_CLIP_SIGMAS=15.0 \
GRAD_ACCUM_STEPS=1 TRAIN_BATCH_TOKENS=196608 EMA_DECAY=0.990 \
PREQUANT_TTT_ENABLED=1 TTT_ENABLED=1 \
torchrun --standalone --nproc_per_node=8 train_gpt.py
```

## Credits

This submission builds on the work of many contributors to the Parameter Golf community:

- **@bigbag** — Rank 1 base stack: 3-layer depth recurrence, parallel residuals, sigmoid skip gates, QK-Gain 5.25, LeakyReLU², LN scale, legal TTT ([PR #1493](https://github.com/openai/parameter-golf/pull/1493))
- **@clarkkev** (Kevin Clark) — SP8192 vocabulary, GPTQ with SDClip, MuonEq-R optimizer, embedding GPTQ ([PR #1394](https://github.com/openai/parameter-golf/pull/1394))
- **@okezue** — Pre-Quantization TTT technique, per-group compression, LQER, SmearGate ([PR #1958](https://github.com/openai/parameter-golf/pull/1958), current SOTA 1.0136)
- **@dexhunter** — Depth recurrence on SP8192 ([PR #1331](https://github.com/openai/parameter-golf/pull/1331), [#1437](https://github.com/openai/parameter-golf/pull/1437)), legal score-first TTT on SP8192 ([PR #1413](https://github.com/openai/parameter-golf/pull/1413))
- **@abaybektursun** — Score-first TTT framework and legality analysis ([PR #549](https://github.com/openai/parameter-golf/pull/549))
- **@Robby955** — Parallel residuals on SP8192 ([PR #1412](https://github.com/openai/parameter-golf/pull/1412))
- **@msisovic** — Parallel residuals concept ([PR #1204](https://github.com/openai/parameter-golf/pull/1204))
- **@X-Abhishek-X** — Hyperparameter tuning and optimizer experiments ([PR #1445](https://github.com/openai/parameter-golf/pull/1445), [#1471](https://github.com/openai/parameter-golf/pull/1471))
- **@andrewbaggio1** — Long-context 2560 + no_qv TTT mask techniques ([PR #1953](https://github.com/openai/parameter-golf/pull/1953))
- **@alertcat** — AWQ-lite + asymmetric logit rescale ([PR #1945](https://github.com/openai/parameter-golf/pull/1945))
- **@TimS-ml** — LeakyReLU slope tuning + GPTQ reverse-Cholesky ([PR #1948](https://github.com/openai/parameter-golf/pull/1948))
- **@Christopher-Lee-McClendon** — GPTQ_RESERVE tuning reproduction ([PR #1950](https://github.com/openai/parameter-golf/pull/1950))
- **@MarioPaerle** — Per-block MLP output gate ([PR #1941](https://github.com/openai/parameter-golf/pull/1941))
- **@aryanbhosale** — Parallel residuals + score-first TTT stack ([PR #1517](https://github.com/openai/parameter-golf/pull/1517))
- **An Thien Vo** (James Emerson Vo) — Headwise gated attention (novel contribution), small batch integration, EMA tuning, compression tuning, 29-paper literature survey, 40+ experiment ablation study

## Acknowledgements

- **OpenAI** — for hosting the Parameter Golf challenge and the development grant
- **RunPod** — for compute credits supporting our 2×H100 and 8×H100 experiments
- **Georgia Tech PACE** — for supplementary compute resources
- **@sranganath02** (Sid Ranganathan) — for collaborating on nanochat research and tokenizer investigation as part of our CS 7643 Deep Learning team project
- **CS 7643 Deep Learning** at Georgia Tech, taught by Dr. Zsolt Kira — course context for this research

Total compute cost: ~$280+ across 40+ experiments on RunPod (2×H100 and 8×H100).

In memory of Moomoo, my cat.

## Included Files

- `README.md` (this file)
- `submission.json`
- `train_gpt.py`
- `requirements.txt`
- `train_seed42.log`
- `train_seed1337.log`
- `train_seed2025.log`
Original file line number Diff line number Diff line change
@@ -0,0 +1,5 @@
sentencepiece
brotli
numpy
# flash-attn 3 (FA3) for H100 + CUDA 13.0 — install separately:
# pip install --no-cache-dir "https://download.pytorch.org/whl/cu130/flash_attn_3-3.0.0-cp39-abi3-manylinux_2_28_x86_64.whl"
Original file line number Diff line number Diff line change
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{
"author": "James Vo",
"github_id": "jamesEmerson112",
"name": "SP8192 + Full Stack (Small Batch + EMA Tuning + Headwise Gate + PreQuantTTT)",
"date": "2026-04-30",
"track": "10min_16mb",
"val_bpb": 1.0511,
"val_bpb_std": 0.00079,
"seeds": [42, 1337, 2025],
"seed_results": {
"42": {"val_bpb": 1.0517, "artifact_bytes": 15737659},
"1337": {"val_bpb": 1.0513, "artifact_bytes": 15735628},
"2025": {"val_bpb": 1.0502, "artifact_bytes": 15735972}
},
"hardware": "8xH100 80GB SXM",
"pytorch_version": "2.11.0+cu130",
"technique_summary": "SP8192 + Small Batch (ga=1, Paper #15) + EMA=0.990 + Headwise Gated Attention + PreQuantTTT 21ep + full rank 1 stack (FA3, depth recurrence, parallel residuals, XSA, MuonEq-R, GPTQ int6+brotli, score-first TTT)",
"compliance": {
"train_under_600s": true,
"artifact_under_16mb": true,
"eval_under_600s": true,
"no_slot": true,
"no_pre_quant_ttt": false,
"no_etlb": true,
"no_ngram_cache": true,
"score_first_ttt": true,
"three_seeds": true
},
"attribution": {
"base_stack": "@bigbag (PR #1493, rank 1 SOTA)",
"sp8192_gptq_sdclip": "@clarkkev (PR #1394)",
"depth_recurrence": "@dexhunter (PR #1331, #1437)",
"parallel_residuals": "@Robby955 (PR #1412), @msisovic (PR #1204)",
"legal_ttt_framework": "@abaybektursun (PR #549), @dexhunter (PR #1413)",
"prequant_ttt": "@okezue (PR #1958)",
"headwise_gated_attention": "James Vo (novel contribution)",
"small_batch_ema_tuning": "James Vo (ablation study)"
}
}
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