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Model A after phase 1 (answer-only loss, k^2 weighting, seed 42)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/7gwt74kt
7gwt74kt
brendanlong-com/lego-reasoning/lego-std_96d_6h_8L_curriculum_AO:v1
{ "total_steps": 58593, "mean_accuracy": 1, "converged_step": 12000 }
22a73e320a00202405db3f43db302053fa66745f0ba3bf484df394c6011d06a2
Model A: answer-only -> full-sequence curriculum, k^2 weighting, seed 42 (the writeup's sequential model)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/clzbke38
clzbke38
brendanlong-com/lego-reasoning/lego-std_96d_6h_8L_curriculum_FSL:v2
{ "total_steps": 97656, "mean_accuracy": 1, "converged_step": 2000 }
7bc113d3df6e0167a53cfc6af3a1bf7573b8afa8b77c9f6d3fe07d6fe220f6c6
Model B: full-sequence loss from scratch, k^2 weighting, seed 42 (the writeup's non-sequential control)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/b5mcg9s9
b5mcg9s9
brendanlong-com/lego-reasoning/lego-std_96d_6h_8L_curriculum_FSL:v3
{ "total_steps": 156250, "mean_accuracy": 1, "converged_step": 64000 }
05c2bce42dad52e5b8f138c492cd517bc484bffb7ec677ef5e3cdfed2abd8cea
Model A recipe, seed 43, after phase 1 (noisier staircase)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/8y1w1rld
8y1w1rld
brendanlong-com/lego-reasoning/lego-std_96d_6h_8L_curriculum_AO:v2
{ "total_steps": 58593, "mean_accuracy": 1, "converged_step": 11000 }
e5b7cf391110def30c50d1002b420caf974b73f89de6a28eac3488376687a7d0
Model A recipe, seed 43, after phase 2
https://wandb.ai/brendanlong-com/lego-reasoning/runs/oq617s0t
oq617s0t
brendanlong-com/lego-reasoning/lego-std_96d_6h_8L_curriculum_FSL:v1
{ "total_steps": 97656, "mean_accuracy": 1, "converged_step": 2000 }
f1f8a5d0409a00a79a48f1f60d010f91cbce51d547f6c7778ac7c2143e5b5ac4
Model B recipe, seed 43
https://wandb.ai/brendanlong-com/lego-reasoning/runs/gqpwl3wa
gqpwl3wa
brendanlong-com/lego-reasoning/lego-std_96d_6h_8L_curriculum_FSL:v4
{ "total_steps": 156250, "mean_accuracy": 1, "converged_step": 109000 }
c2b8132f7562f3d16eb156ef80cdc3d94a8f96abde3846f5ac9516333039b461
Model B recipe, seed 44
https://wandb.ai/brendanlong-com/lego-reasoning/runs/8oneyaas
8oneyaas
brendanlong-com/lego-reasoning/lego-std_96d_6h_8L_curriculum_FSL:v5
{ "total_steps": 156250, "mean_accuracy": 0.9994999766349792, "converged_step": null }
01573b6b2a360557e89c3a108bcd0543482a851aa718248fe5fca2092fbe7c2e
Standard transformer, uniform k, after answer-only phase (staircase compressed into L5-L7; results/10)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/lyy1ex3n
lyy1ex3n
brendanlong-com/lego-reasoning/lego-std_96d_6h_8L_curriculum_AO:v0
{ "total_steps": 58593, "mean_accuracy": 1, "converged_step": 10000 }
17acc4484631ebbd2d654c7b1ca44022494b2252e380dbf63176b37d87da11bb
Standard transformer, uniform k, after full-sequence phase (results/10)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/9sl0fov0
9sl0fov0
brendanlong-com/lego-reasoning/lego-std_96d_6h_8L_curriculum_FSL:v0
{ "total_steps": 97656, "mean_accuracy": 1, "converged_step": 3000 }
a92b8bd8653f814114befda2e5131ff8f6ad41bd16d64cf5bf1216398f3e1c2d
Weight-shared transformer, k^2 weighting, after answer-only phase (results/13)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/kc28xqvs
kc28xqvs
brendanlong-com/lego-reasoning/lego-ws_96d_6h_8L_curriculum_AO:v2
{ "total_steps": 58593, "mean_accuracy": 1, "converged_step": 25000 }
2a91acb31c251deb5240e62a6c7a12084fb46a8a6bb9ec6d872e4e6277f6945d
Weight-shared transformer, k^2 weighting, after full-sequence phase (results/13)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/x000s412
x000s412
brendanlong-com/lego-reasoning/lego-ws_96d_6h_8L_curriculum_FSL:v1
{ "total_steps": 97656, "mean_accuracy": 1, "converged_step": 3000 }
45af4c104bd26195dcf460210bfdc0940a39f069e9eb59a42787f1b51dd8ed7a
Weight-shared (universal) transformer, uniform k, after answer-only phase (clean staircase; results/10)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/84c0iqcs
84c0iqcs
brendanlong-com/lego-reasoning/lego-ws_96d_6h_8L_curriculum_AO:v0
{ "total_steps": 58593, "mean_accuracy": 1, "converged_step": 11000 }
fe4905d75d5ba54a9db2ecd54a0cc6f321ad55f645158cbe757177b035a1f40d
Weight-shared transformer, uniform k, after full-sequence phase (results/10)
https://wandb.ai/brendanlong-com/lego-reasoning/runs/ac6tyb31
ac6tyb31
brendanlong-com/lego-reasoning/lego-ws_96d_6h_8L_curriculum_FSL:v0
{ "total_steps": 97656, "mean_accuracy": 1, "converged_step": 2000 }
d25666f8cae32401eea7db0ae1836e8e79b30d8bea64a18b0861b68968b27dc7

Checkpoints for Training a Transformer to Compose One Step Per Layer (and Proving It)

Final checkpoints behind the writeup Training a Transformer to Compose One Step Per Layer (and Proving It). Code, analyses and the full experiment log: github.com/brendanlong/sequential-transformer-lens-experiment. Training curves: public wandb project.

Every checkpoint is a torch.save dict {"step", "model_state_dict", "model_config"} loadable with torch.load(..., weights_only=True); each has a .json sidecar with a description, the wandb run, and a sha256. Load one with the repo's lego.training.load_model("hf:lego/<run>/<file>").

Each sidecar's source_artifact is the wandb artifact the bytes were copied from. The research code named artifacts after the script, not the run, so several runs share a collection name and are told apart only by version (e.g. every _FSL run here came from lego-std_96d_6h_8L_curriculum_FSL:vN, and the weight-shared runs' collections say 8L where the run names say 8iter); the sha256, wandb_run and description are the authoritative identity.

Layout

lego/<run_name>/step_<N>.pt        # checkpoint
lego/<run_name>/step_<N>.pt.json   # description, wandb run, metadata, sha256

All models are 96-dim, 6-head, 8-layer decoder-only transformers on S3 (≅ D3) group composition with chain lengths k = 0–6; kp2 = training data weighted by k², uniform = uniform over k; curriculum_AO / curriculum_FSL = after phase 1 (answer-only loss) / phase 2 (full-sequence loss) of the AO→FSL curriculum; fsl_only = full-sequence loss from scratch; ws_…_8iter = weight-shared (universal) transformer with one block looped 8 times; s<seed>.

Run Role wandb
std_96d_6h_8L_kp2_s42_curriculum_FSL Model A (sequential) clzbke38
std_96d_6h_8L_kp2_s42_curriculum_AO Model A after phase 1 7gwt74kt
std_96d_6h_8L_kp2_s42_fsl_only Model B (non-sequential control) b5mcg9s9
std_96d_6h_8L_kp2_s43_curriculum_AO / _FSL Model A recipe, seed 43 (the repo's results log lists the FSL phase as "same run"; the artifact log attributes it to oq617s0t) 8y1w1rld / oq617s0t
std_96d_6h_8L_kp2_s43_fsl_only, …_s44_fsl_only Model B recipe, seeds 43/44 gqpwl3wa, 8oneyaas
std_96d_6h_8L_uniform_s42_curriculum_AO / _FSL standard transformer, uniform k (staircase compressed into the last layers) lyy1ex3n / 9sl0fov0
ws_96d_6h_8iter_uniform_s42_curriculum_AO / _FSL weight-shared, uniform k 84c0iqcs / ac6tyb31
ws_96d_6h_8iter_kp2_s42_curriculum_AO / _FSL weight-shared, k² weighting kc28xqvs / x000s412
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