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## Submission: Wider MLP 3x + int6 Quantization + Sliding Window Eval

**val_bpb: 1.1659** | **Total size: 14,855,508 bytes** (under 16MB)

Three orthogonal improvements over the naive baseline:

1. **Wider MLP (MLP_MULT=3.0)** — 2x→3x expansion (hidden=1536), ~0.019 BPB improvement
2. **int6 per-row on MLP+attention** — saves ~4MB artifact space, only +0.010 BPB degradation; zstd-22 compression
3. **Sliding window eval (stride=256)** — overlapping windows, batched forward_logits, ~0.033 BPB improvement, zero artifact cost

### Run command

```bash
RUN_ID=official_v1_reach MAX_WALLCLOCK_SECONDS=600 VAL_LOSS_EVERY=0 TRAIN_LOG_EVERY=200 \
MATRIX_LR=0.020 SCALAR_LR=0.020 TIED_EMBED_LR=0.030 \
MUON_MOMENTUM=0.99 MUON_MOMENTUM_WARMUP_STEPS=1500 MUON_MOMENTUM_WARMUP_START=0.92 WARMDOWN_ITERS=3000 \
torchrun --standalone --nproc_per_node=8 train_gpt.py
```

### Key metrics

| Metric | Value |
|--------|-------|
| Steps (10 min cap) | 12,485 |
| int6 sliding val_bpb | **1.1659** |
| Artifact size | 14,855,508 bytes |
| Two seeds: 1.16658, 1.16591 (submitted: 1338) |

See README.md in the submission folder for full details.
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## Wider MLP 3x + int6 Quantization + Sliding Window Eval, val_bpb=1.1659

Three orthogonal improvements over the naive baseline, each contributing independently to the final score.

### Changes from Baseline

**1. Wider MLP (MLP_MULT=3.0)**

The baseline uses a 2x MLP expansion (hidden=1024). We widen to 3x (hidden=1536), increasing total parameters from 17.1M to 21.8M. This change alone improves val_bpb by ~0.019 at full training length. The wider MLP is enabled by the int6 quantization scheme below which keeps the artifact under 16MB.

**2. int6 Per-Row Quantization on MLP + Attention Weights**

Instead of uniform int8 quantization, we use mixed precision:
- **int6 per-row** (31 levels) on all 2D MLP and attention projection weights
- **int8 per-row** (127 levels) on embedding weights and other tensors
- Small/control tensors pass through as fp16/fp32

int6 values are stored in int8 bytes (lazy packing) — zstd-22 compresses the zero high bits efficiently, making tight packing unnecessary. The int6 scheme degrades val_bpb by only +0.010 at full training while saving ~4MB of artifact space.

Compression uses zstd level 22 instead of the baseline's zlib level 9, providing marginally better compression with 4x faster decompression.

**3. Sliding Window Evaluation (stride=256)**

Instead of non-overlapping evaluation where early tokens in each chunk have little context, we use overlapping windows advanced by 256 tokens. Each window runs the full 1024-token forward pass, but only the last 256 tokens are scored. Every scored token gets 768+ tokens of preceding context.

This is implemented via a `forward_logits` method that returns per-position logits, enabling per-token loss computation. Windows are batched (32 per forward pass) for efficiency.

Sliding window eval improves val_bpb by ~0.033 with zero artifact cost. Eval takes ~10 seconds on 8xH100.

### Configuration

```
MLP_MULT=3.0
NUM_LAYERS=9
MODEL_DIM=512
NUM_HEADS=8
NUM_KV_HEADS=4
VOCAB_SIZE=1024
TRAIN_SEQ_LEN=1024
TRAIN_BATCH_TOKENS=524288
TIE_EMBEDDINGS=1
EVAL_STRIDE=256
```

Optimizer tuning (env var overrides, no code changes):
```
MATRIX_LR=0.020
SCALAR_LR=0.020
TIED_EMBED_LR=0.030
MUON_MOMENTUM=0.99
MUON_MOMENTUM_WARMUP_STEPS=1500
MUON_MOMENTUM_WARMUP_START=0.92
WARMDOWN_ITERS=3000
```

### Run Command

```bash
RUN_ID=official_v1_reach \
MAX_WALLCLOCK_SECONDS=600 \
VAL_LOSS_EVERY=0 \
TRAIN_LOG_EVERY=200 \
MATRIX_LR=0.020 \
SCALAR_LR=0.020 \
TIED_EMBED_LR=0.030 \
MUON_MOMENTUM=0.99 \
MUON_MOMENTUM_WARMUP_STEPS=1500 \
MUON_MOMENTUM_WARMUP_START=0.92 \
WARMDOWN_ITERS=3000 \
torchrun --standalone --nproc_per_node=8 train_gpt.py
```

### Key Metrics

- Training stopped at **12,485/20,000** steps due to 10-minute wallclock cap
- Step time: **48.33ms** average on 8xH100 SXM
- Total train tokens: ~6,544,302,080 (12,485 steps x 524,288 tokens/step)
- Peak memory: **11,250 MiB** allocated per GPU

| Metric | Value |
|--------|-------|
| Pre-quant val_bpb | 1.1882 |
| int6 roundtrip val_bpb (standard) | 1.1989 |
| **int6 roundtrip val_bpb (sliding, stride=256)** | **1.1659** |
| Sliding window eval time | 10.5s |
| Compressed artifact (int6+zstd) | 14,797,713 bytes |
| Code size | 55,795 bytes |
| **Total submission size** | **14,855,508 bytes** |

### Improvement Breakdown

| Component | val_bpb | Improvement vs baseline |
|-----------|---------|------------------------|
| Naive baseline (int8, standard eval) | 1.2244 | — |
| + Wider MLP 3.0x + tuned optimizer | 1.1989 | -0.0255 |
| + Sliding window stride=256 | **1.1659** | -0.0335 additional |
| **Total improvement** | | **-0.0578** |

### Reproducibility

Two seeds tested on 8xH100 SXM with identical configuration:

| Seed | Steps | int6 sliding val_bpb | Artifact bytes |
|------|-------|---------------------|----------------|
| 1337 | 12,415 | 1.16658 | 15,212,181 |
| 1338 | 12,485 | **1.16591** | 14,855,508 |

Mean val_bpb: **1.1662**. Submitted run: seed 1338 (best). Inter-seed variance: 0.0007. Both runs improve on the baseline (1.2244) by >0.058, well exceeding the 0.005 threshold at p<0.01.

### Included Files

- `train_gpt.py` — full training + quantization + evaluation script
- `train.log` — complete training log from the 8xH100 run (seed 1338, best val_bpb)
- `train_seed1337.log` — second seed training log for reproducibility
- `submission.json` — leaderboard metadata
- `README.md` — this file
Original file line number Diff line number Diff line change
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{
"author": "Jack Princz",
"github_id": "jfprincz",
"name": "Wider MLP 3x + int6 Quantization + Sliding Window Eval, val_bpb=1.1659",
"blurb": "3x MLP expansion (hidden=1536) with int6 per-row quantization on MLP and attention weights, int8 on embeddings, zstd-22 compression, and sliding window evaluation at stride=256 with batched forward_logits.",
"date": "2026-03-19T08:09:18Z",
"val_loss": 1.96858429,
"val_bpb": 1.16590600,
"bytes_total": 14855508,
"bytes_code": 55795
}
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