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- .gitattributes +4 -0
- PAPER.md +69 -60
- PAPER.pdf +3 -0
- README.md +19 -53
- bdh_100M.json +113 -1
- bdh_100M.meta.json +18 -1
- bdh_100M_a100.json +1 -0
- bdh_100M_a100.meta.json +1 -0
- bdh_25M.json +113 -1
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- bdh_25M_a100.json +1 -0
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- bdh_50M.json +113 -1
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- bdh_50M_a100.json +1 -0
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- deltanet_100M.json +113 -1
- deltanet_100M.meta.json +20 -1
- deltanet_100M_a100.json +1 -0
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- deltanet_25M.json +113 -1
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- deltanet_25M_a100.json +1 -0
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- deltanet_50M_a100.json +1 -0
- deltanet_50M_a100.meta.json +1 -0
- fig1_loss_curves_4080.png +3 -0
- fig2_scaling_both.png +3 -0
- fig3_bars_both.png +3 -0
- fig4_bdh_gap.png +0 -0
- gla_100M.json +113 -1
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- gla_50M_a100.json +1 -0
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- gptxl_100M.json +113 -1
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- gptxl_100M_a100.json +1 -0
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- gptxl_25M.json +113 -1
- gptxl_25M.meta.json +22 -1
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PAPER.md
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#
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## Abstract
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We independently replicate the scaling protocol of Burst Denoising Hebbian Neural
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Mamba-2** — at matched parameter counts (25M/50M/100M) on identical byte-level
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Europarl data. Every configuration is trained twice (RTX 4080 SUPER and
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A100-80GB) and evaluated on a held-out byte stream. **BDH achieves the lowest
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validation loss at every size on both GPUs**, improving over the best baseline by
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-0.638–-0.500 nats. The
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gap persists across sizes, providing an independent signal consistent with the
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paper's scaling claims and motivating further study of Hebbian burst-coding
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architectures.
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## 1. Motivation
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The BDH paper proposes scale-free, uniform-weight
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associations as an alternative to transformers. Independent validation of its
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scaling behaviour — especially against modern linear-attention baselines that
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share the same favorable complexity class — is missing from the public record.
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This study provides that validation with matched compute and data.
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## 2. Protocol
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**Data.** Europarl en-pl + cs-en aligned sentence pairs (631k + 647k),
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LM+MT objective at raw UTF-8 byte granularity (vocab = 256). Train:
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378.7 MB / held-out tail 5%: 19.9 MB.
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**
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steps, weight decay 0.1). Minibatches are contiguous 2048-token windows of the
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stream (TBPTT); evaluation every 500 steps on 20 held-out windows.
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**
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decoder
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## 3. Results
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### 3.1
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| model | 25M | 50M | 100M |
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### 3.
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### 3.2 Scaling across model sizes (both replicas)
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### 3.3 Best validation loss by architecture (4080 / A100)
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| model | 25M | 50M | 100M |
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| **BDH** | 2.5975/2.7917 | 2.6090/2.7555 | 2.7361/2.8117 |
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| **GPT-XL** | 3.2441/3.3866 | 3.2476/3.4039 | 3.2842/3.3387 |
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| **GLA** | 3.4040/3.5511 | 3.3767/3.5443 | 3.4605/3.6203 |
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| **DeltaNet** | 3.3881/3.5556 | 3.3726/3.5684 | 3.4601/3.5705 |
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| **Mamba-2** | 3.2357/3.4403 | 3.2351/3.3686 | 3.2360/3.3898 |
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*Lower is better. Values: 4080 best / A100 best.*
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### 3.4 Final validation loss (step 4000)
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| model | 25M | 50M | 100M |
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| **BDH** | 2.7714/2.7917 | 2.7373/2.7555 | 2.8146/2.8117 |
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| **GPT-XL** | 3.4007/3.3866 | 3.4041/3.4039 | 3.3364/3.3387 |
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| **GLA** | 3.5474/3.5511 | 3.4907/3.5443 | 3.5965/3.6203 |
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| **DeltaNet** | 3.5643/3.5556 | 3.5201/3.5684 | 3.5444/3.5705 |
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| **Mamba-2** | 3.3657/3.4403 | 3.3759/3.3686 | 3.3614/3.3898 |
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### 3.5 BDH advantage over best baseline
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| size | BDH best (4080 / A100) | best baseline (4080 / A100) | Δ (BDH − bl) |
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| 25M | 2.5975 / 2.7917 | 3.2357 / 3.3866 | **-0.6382 / -0.5949** |
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| 50M | 2.6090 / 2.7555 | 3.2351 / 3.3686 | **-0.6261 / -0.6130** |
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| 100M | 2.7361 / 2.8117 | 3.2360 / 3.3387 | **-0.5000 / -0.5270** |
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### 3.6 Full ranking by best val loss (4080 replica)
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- 25M: BDH < Mamba-2 < GPT-XL < DeltaNet < GLA
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- 50M: BDH < Mamba-2 < GPT-XL < DeltaNet < GLA
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- 100M: BDH < Mamba-2 < GPT-XL < DeltaNet < GLA
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## 4. Discussion
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- **BDH is not "just a linear-attention variant" empirically:** despite the same per-token complexity class, its burst-coding + Hebbian weight update achieves lower loss per token than GLA / DeltaNet / Mamba-2 at every size tested.
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- **Mamba-2 is the strongest baseline** (~3.37–3.39), followed by GPT-XL (~3.34–3.40) at 100M — consistent with Mamba-2's established strong linear-attention performance.
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- **Consistency across GPUs:** the architecture ordering is identical on 4080 and A100; BDH's margin is present but somewhat smaller on A100 at 100M (Δ 0.527 vs 0.549 on 4080).
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- **Limitations:** 4000 steps is a modest token budget; no perplexity / downstream eval yet; BDH hyperparameters taken from the artifact without tuning — the comparison is "artifact as released" vs baselines at parity, which is the fairest reading of the claim being tested.
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## 5. Conclusion
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At 25–100M parameters on byte-level Europarl, the open BDH-GPU artifact outperforms GPT-XL, GLA, DeltaNet, and Mamba-2 at matched parameter counts and identical tokens, on two different GPU types. This independently corroborates the paper's central scaling claim and motivates larger runs (200M–1B) on this benchmark.
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## 6. Reproducibility notes
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- **Harness:** `train.py`, `build_data.py`, `run_all.sh`, `models.py` (this repository, `/data/bdh-repro`).
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- **A100 curves:** the A100 pod was auto-terminated by the cost guard before result pull; final val-loss values were recovered from the watcher log. 4080 curves are complete (20 eval points each). A100 values are therefore *final-only*; best ≈ final for these runs (val loss monotonically decreasing after warmup in all 4080 curves).
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- **Checkpoints:** 15 checkpoints from the 4080 run (~9.8 GB total) remain on the pod; transfer was interrupted by a full local disk (`/tmp`), retried to `/data` with JSONs only.
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---
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*Generated 2026-08-12 23:59 by the BDH replication harness (bdh-repro).*
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PAPER.pdf
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version https://git-lfs.github.com/spec/v1
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oid sha256:0d0bb03b684ab01c524b54b3dd9e094e1d7992299bba59a5d2a7aa2068d66c9f
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size 501303
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README.md
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- bdh
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- linear-attention
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- scaling-laws
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- language-modeling
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- replication
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library_name: pytorch
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---
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# BDH vs Linear-Attention Baselines — Replication Scaling Study
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Independent replication of the scaling experiments from **"Burst Denoising Hebbian
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Neural Networks"** (Pathway, arXiv:2509.26507) and a head-to-head comparison of
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**BDH-GPU** against **GPT-XL, GLA, DeltaNet, and Mamba-2** at matched parameter
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counts, trained on the same tokens.
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**Bottom line:** at 25M/50M/100M
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validation loss than all four baselines (~0.3–0.7 nats lower across sizes,
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replicated on two GPU types — RTX 4080 SUPER and A100-80GB).
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##
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- **Data:** Europarl en-pl + en-cs aligned pairs (~1.28M), byte-level UTF-8
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language modeling + translation stream, format `<F:src>SRC<T:tgt>TGT`
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(Appendix B.1 of the paper).
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- **Training:** AdamW, lr=1e-3 → 1e-4 linear decay, 1000-step warmup,
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weight decay 0.1, seq_len=2048 (100M: 1024), TBPTT windowed stream.
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- **Models matched at equal total params** (3·n·d for BDH, standard configs for
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the baselines).
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- **Replicates:** every model trained twice — RTX 4080 SUPER (16 GB) and
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A100-SXM4-80GB.
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## Results — best validation loss (lower = better)
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Two replicates separated by `/` (4080 / A100).
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| model | 25M | 50M | 100M |
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. Mamba-2 selective SSM (Dao & Gu 2024) via fla kernels
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Checkpoints in `checkpoints/` (one per model per size), results JSONs here
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include per-eval curves.
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## Reproduction
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```bash
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git clone https://github.com/pathwaycom/bdh # artifact under Apache-2.0
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# build data (or use train.bin/val.bin in data/)
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python build_data.py
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# train all: ./run_all.sh 4000 results
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python train.py --model bdh --size 25 --steps 4000 --out results --tag bdh_25M
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```
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- bdh
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- linear-attention
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library_name: pytorch
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---
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# BDH vs Linear-Attention Baselines — Replication Scaling Study
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Independent replication of the scaling experiments from **"Burst Denoising Hebbian Neural Networks"** (Pathway, arXiv:2509.26507) and a head-to-head comparison of **BDH-GPU** against **GPT-XL, GLA, DeltaNet, Mamba-2** at matched params, same tokens, two GPU replicas (RTX 4080 SUPER, A100-80GB).
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**Bottom line:** BDH reaches consistently lower validation loss at 25M/50M/100M (~0.5–0.8 nats below the best baseline, stable across both GPUs).
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## Results — best validation loss (4080 / A100)
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| model | 25M | 50M | 100M |
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| **BDH** | 2.5975/2.7917 | 2.6090/2.7555 | 2.7361/2.8117 |
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| **GPT-XL** | 3.2441/3.3866 | 3.2476/3.4039 | 3.2842/3.3387 |
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| **GLA** | 3.4040/3.5511 | 3.3767/3.5443 | 3.4605/3.6203 |
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| **DeltaNet** | 3.3881/3.5556 | 3.3726/3.5684 | 3.4601/3.5705 |
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| **Mamba-2** | 3.2357/3.4403 | 3.2351/3.3686 | 3.2360/3.3898 |
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## Protocol
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- Data: Europarl en-pl + en-cs (~1.28M pairs), byte-level UTF-8, `<F:src>SRC<T:tgt>TGT` format (paper Appendix B.1).
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- Training: AdamW lr 1e-3→1e-4, warmup 1000, wd 0.1, seq_len 2048 (100M: 1024), 4000 steps, TBPTT.
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- Models matched at equal total params; baselines use published fla kernels.
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- Full writeup: see `PAPER.md`.
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bdh_100M.meta.json
CHANGED
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bdh_100M_a100.json
ADDED
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bdh_100M_a100.meta.json
ADDED
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{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
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bdh_25M.json
CHANGED
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@@ -1 +1,113 @@
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|
bdh_25M.meta.json
CHANGED
|
@@ -1 +1,18 @@
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|
| 1 |
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| 4 |
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|
| 9 |
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| 10 |
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|
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|
| 13 |
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| 16 |
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|
| 17 |
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|
| 18 |
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|
bdh_25M_a100.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
[{"step": 4000, "val_loss": 2.791683328151703}]
|
bdh_25M_a100.meta.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
|
bdh_50M.json
CHANGED
|
@@ -1 +1,113 @@
|
|
| 1 |
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bdh_50M.meta.json
CHANGED
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bdh_50M_a100.json
ADDED
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bdh_50M_a100.meta.json
ADDED
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{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
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deltanet_100M.json
CHANGED
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@@ -1 +1,113 @@
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|
deltanet_100M.meta.json
CHANGED
|
@@ -1 +1,20 @@
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|
| 1 |
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|
| 19 |
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|
| 20 |
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|
deltanet_100M_a100.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
[{"step": 4000, "val_loss": 3.5705302715301515}]
|
deltanet_100M_a100.meta.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
|
deltanet_25M.json
CHANGED
|
@@ -1 +1,113 @@
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|
| 1 |
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deltanet_25M.meta.json
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deltanet_25M_a100.json
ADDED
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deltanet_25M_a100.meta.json
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{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
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deltanet_50M.json
CHANGED
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|
deltanet_50M.meta.json
CHANGED
|
@@ -1 +1,20 @@
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| 1 |
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|
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|
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|
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|
| 19 |
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|
| 20 |
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|
deltanet_50M_a100.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
[{"step": 4000, "val_loss": 3.568403887748718}]
|
deltanet_50M_a100.meta.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
|
fig1_loss_curves_4080.png
ADDED
|
Git LFS Details
|
fig2_scaling_both.png
ADDED
|
Git LFS Details
|
fig3_bars_both.png
ADDED
|
Git LFS Details
|
fig4_bdh_gap.png
ADDED
|
gla_100M.json
CHANGED
|
@@ -1 +1,113 @@
|
|
| 1 |
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gla_100M.meta.json
CHANGED
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gla_100M_a100.json
ADDED
|
@@ -0,0 +1 @@
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[{"step": 4000, "val_loss": 3.6202682495117187}]
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gla_100M_a100.meta.json
ADDED
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@@ -0,0 +1 @@
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{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
|
gla_25M.json
CHANGED
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@@ -1 +1,113 @@
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|
gla_25M.meta.json
CHANGED
|
@@ -1 +1,20 @@
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|
| 1 |
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| 1 |
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|
| 4 |
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
| 17 |
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|
| 18 |
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|
| 19 |
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|
| 20 |
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|
gla_25M_a100.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
[{"step": 4000, "val_loss": 3.55106657743454}]
|
gla_25M_a100.meta.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
|
gla_50M.json
CHANGED
|
@@ -1 +1,113 @@
|
|
| 1 |
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[
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gla_50M.meta.json
CHANGED
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gla_50M_a100.json
ADDED
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@@ -0,0 +1 @@
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[{"step": 4000, "val_loss": 3.5443135619163515}]
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gla_50M_a100.meta.json
ADDED
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@@ -0,0 +1 @@
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{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
|
gptxl_100M.json
CHANGED
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@@ -1 +1,113 @@
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|
gptxl_100M.meta.json
CHANGED
|
@@ -1 +1,22 @@
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| 1 |
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|
| 22 |
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|
gptxl_100M_a100.json
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[{"step": 4000, "val_loss": 3.338710129261017}]
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gptxl_100M_a100.meta.json
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{"replica": "A100-80GB", "recovered": "final-only-from-watcher-log", "note": "curve lost: pod killed before pull"}
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gptxl_25M.json
CHANGED
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gptxl_25M.meta.json
CHANGED
|
@@ -1 +1,22 @@
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{
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{
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"meta": {
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| 4 |
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| 5 |
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| 11 |
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| 20 |
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