byte-vortex commited on
Commit
37b2dec
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1 Parent(s): c89a439

Update logbook: Reproduction: A Random Matrix Perspective on the Consistency of Diffusion Models

Browse files
logbook.json CHANGED
@@ -10,7 +10,7 @@
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  "icml2026-repro",
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  "paper-iPjuUQbkfl"
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  ],
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- "updated_at": "2026-08-01T17:16:30+00:00",
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  "root": {
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  "slug": "index",
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  "title": "Reproduction: A Random Matrix Perspective on the Consistency of Diffusion Models",
@@ -76,5 +76,5 @@
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  "agent_view_tokens": 3151,
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  "trace_view_tokens": 10,
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  "workspace_view_tokens": 8,
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- "revision": "d88c05fd721f78f2a24a"
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  }
 
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  "icml2026-repro",
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  "paper-iPjuUQbkfl"
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  ],
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+ "updated_at": "2026-08-01T17:36:24+00:00",
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  "root": {
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  "slug": "index",
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  "title": "Reproduction: A Random Matrix Perspective on the Consistency of Diffusion Models",
 
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  "agent_view_tokens": 3151,
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  "trace_view_tokens": 10,
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  "workspace_view_tokens": 8,
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+ "revision": "994253e91e50079e4b64"
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  }
pages/claim-1-linear-model-predicts-cross-split-consistency/page.md CHANGED
@@ -3,13 +3,13 @@
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  ---
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  <!-- trackio-cell
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- {"type": "code", "id": "cell_69bfaaeac398", "created_at": "2026-08-01T17:07:26+00:00", "title": "Run: hf rmt_diffusion_claim1.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "cpu-basic", "--secrets", "HF_TOKEN", "rmt_diffusion_claim1.py"], "exit_code": 0, "duration_s": 49.949}
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  -->
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  ````bash
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  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim1.py
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  ````
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- exit 0 · 49.9s
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  ````python title=rmt_diffusion_claim1.py
@@ -188,30 +188,30 @@ if __name__ == "__main__":
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  ````output
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  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
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  warnings.warn(
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- Job started with ID: 6a6e279d6b79c09949c1e76f
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- View at: https://huggingface.co/jobs/byte-vortex/6a6e279d6b79c09949c1e76f
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- Downloading nvidia-nccl-cu13 (196.4MiB)
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- Downloading nvidia-cuda-cupti (10.2MiB)
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- Downloading pillow (6.6MiB)
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- Downloading nvidia-cuda-runtime (2.1MiB)
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- Downloading nvidia-cusparselt-cu13 (162.3MiB)
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- Downloading nvidia-cusolver (191.6MiB)
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- Downloading nvidia-cufile (1.2MiB)
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- Downloading sympy (6.0MiB)
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  Downloading numpy (15.9MiB)
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- Downloading nvidia-cudnn-cu13 (349.2MiB)
 
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  Downloading networkx (2.0MiB)
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- Downloading nvidia-cublas (403.5MiB)
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- Downloading nvidia-cusparse (139.2MiB)
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- Downloading nvidia-cufft (204.2MiB)
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- Downloading nvidia-cuda-nvrtc (86.0MiB)
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- Downloading cuda-bindings (6.3MiB)
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- Downloading torchvision (7.3MiB)
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- Downloading nvidia-nvjitlink (38.9MiB)
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- Downloading triton (188.6MiB)
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  Downloading torch (502.2MiB)
 
 
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  Downloading nvidia-nvshmem-cu13 (57.6MiB)
 
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  Downloading nvidia-curand (56.8MiB)
 
 
 
 
 
 
 
 
 
 
 
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  Downloaded nvidia-cufile
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  Downloaded networkx
@@ -234,7 +234,7 @@ Downloading nvidia-curand (56.8MiB)
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  Downloaded nvidia-cudnn-cu13
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  Downloaded nvidia-cublas
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  Downloaded torch
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- Installed 32 packages in 253ms
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  ======================================================================
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  RMT Diffusion Consistency reproduction -- Claim 1
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  Testing: linear closed-form denoiser predicts cross-split
@@ -606,12 +606,12 @@ Using REAL MNIST data (16x16 downsampled, flattened, d=256).
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  Dataset: 4000 samples, 256 dims, split into 2000 / 2000
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  [Results over 100 shared-seed trials]
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- Cross-split distance (same seed, different training data): 0.379 +/- 0.050
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- Nearest-training-neighbor distance (memorization check): 2.647 +/- 0.337
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  ======================================================================
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  SUMMARY
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- PASS: cross-split outputs are 6.98x MORE similar to each
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  other than to their own nearest training example.
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  This supports the paper's Claim 1: a purely linear, closed-form
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  model already predicts strong cross-split consistency, without
 
3
 
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  ---
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  <!-- trackio-cell
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+ {"type": "code", "id": "cell_38b04135405c", "created_at": "2026-08-01T17:25:57+00:00", "title": "Run: hf rmt_diffusion_claim1.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "cpu-basic", "--secrets", "HF_TOKEN", "rmt_diffusion_claim1.py"], "exit_code": 0, "duration_s": 47.661}
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  -->
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  ````bash
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  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim1.py
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  ````
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+ exit 0 · 47.7s
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  ````python title=rmt_diffusion_claim1.py
 
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  ````output
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  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
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  warnings.warn(
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+ Job started with ID: 6a6e2bf66b79c09949c1e7a5
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+ View at: https://huggingface.co/jobs/byte-vortex/6a6e2bf66b79c09949c1e7a5
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+ Downloading nvidia-cusparse (139.2MiB)
 
 
 
 
 
 
 
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  Downloading numpy (15.9MiB)
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+ Downloading sympy (6.0MiB)
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+ Downloading nvidia-cuda-runtime (2.1MiB)
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  Downloading networkx (2.0MiB)
 
 
 
 
 
 
 
 
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  Downloading torch (502.2MiB)
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+ Downloading pillow (6.6MiB)
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+ Downloading nvidia-cudnn-cu13 (349.2MiB)
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  Downloading nvidia-nvshmem-cu13 (57.6MiB)
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+ Downloading triton (188.6MiB)
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  Downloading nvidia-curand (56.8MiB)
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+ Downloading nvidia-cufile (1.2MiB)
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+ Downloading nvidia-nvjitlink (38.9MiB)
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+ Downloading nvidia-cuda-nvrtc (86.0MiB)
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+ Downloading cuda-bindings (6.3MiB)
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+ Downloading nvidia-cuda-cupti (10.2MiB)
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+ Downloading nvidia-nccl-cu13 (196.4MiB)
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+ Downloading nvidia-cusparselt-cu13 (162.3MiB)
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+ Downloading torchvision (7.3MiB)
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+ Downloading nvidia-cusolver (191.6MiB)
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+ Downloading nvidia-cublas (403.5MiB)
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+ Downloading nvidia-cufft (204.2MiB)
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  Downloaded nvidia-cufile
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  Downloaded nvidia-cuda-runtime
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  Downloaded networkx
 
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  Downloaded nvidia-cudnn-cu13
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  Downloaded nvidia-cublas
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  Downloaded torch
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+ Installed 32 packages in 248ms
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  ======================================================================
239
  RMT Diffusion Consistency reproduction -- Claim 1
240
  Testing: linear closed-form denoiser predicts cross-split
 
606
  Dataset: 4000 samples, 256 dims, split into 2000 / 2000
607
 
608
  [Results over 100 shared-seed trials]
609
+ Cross-split distance (same seed, different training data): 0.356 +/- 0.047
610
+ Nearest-training-neighbor distance (memorization check): 2.653 +/- 0.333
611
 
612
  ======================================================================
613
  SUMMARY
614
+ PASS: cross-split outputs are 7.46x MORE similar to each
615
  other than to their own nearest training example.
616
  This supports the paper's Claim 1: a purely linear, closed-form
617
  model already predicts strong cross-split consistency, without
pages/claim-2-self-consistency-equation-and-renormalized-noise/page.md CHANGED
@@ -3,13 +3,13 @@
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  ---
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  <!-- trackio-cell
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- {"type": "code", "id": "cell_47036d5ed50f", "created_at": "2026-08-01T17:09:08+00:00", "title": "Run: hf rmt_diffusion_claim2.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "cpu-basic", "--secrets", "HF_TOKEN", "rmt_diffusion_claim2.py"], "exit_code": 0, "duration_s": 99.068}
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  -->
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  ````bash
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  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim2.py
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  ````
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- exit 0 · 99.1s
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  ````python title=rmt_diffusion_claim2.py
@@ -142,8 +142,8 @@ if __name__ == "__main__":
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  ````output
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  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
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  warnings.warn(
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- Job started with ID: 6a6e27d16b79c09949c1e775
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- View at: https://huggingface.co/jobs/byte-vortex/6a6e27d16b79c09949c1e775
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  Downloading numpy (15.9MiB)
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  Downloaded numpy
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  Installed 1 package in 17ms
 
3
 
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  ---
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  <!-- trackio-cell
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+ {"type": "code", "id": "cell_0e0915115656", "created_at": "2026-08-01T17:28:03+00:00", "title": "Run: hf rmt_diffusion_claim2.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "cpu-basic", "--secrets", "HF_TOKEN", "rmt_diffusion_claim2.py"], "exit_code": 0, "duration_s": 124.15}
7
  -->
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  ````bash
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  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim2.py
10
  ````
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+ exit 0 · 124.2s
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  ````python title=rmt_diffusion_claim2.py
 
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  ````output
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  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
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  warnings.warn(
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+ Job started with ID: 6a6e2c286b79c09949c1e7a9
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+ View at: https://huggingface.co/jobs/byte-vortex/6a6e2c286b79c09949c1e7a9
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  Downloading numpy (15.9MiB)
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  Downloaded numpy
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  Installed 1 package in 17ms
pages/claim-3-variance-factorization-anisotropy-x-inhomogeneity/page.md CHANGED
@@ -3,13 +3,13 @@
3
 
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  ---
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  <!-- trackio-cell
6
- {"type": "code", "id": "cell_5a81ef7e4e8a", "created_at": "2026-08-01T17:09:54+00:00", "title": "Run: hf rmt_diffusion_claim3.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "cpu-basic", "--secrets", "HF_TOKEN", "rmt_diffusion_claim3.py"], "exit_code": 0, "duration_s": 44.05}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim3.py
10
  ````
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- exit 0 · 44.0s
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  ````python title=rmt_diffusion_claim3.py
@@ -126,11 +126,11 @@ if __name__ == "__main__":
126
  ````output
127
  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
128
  warnings.warn(
129
- Job started with ID: 6a6e28376b79c09949c1e777
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- View at: https://huggingface.co/jobs/byte-vortex/6a6e28376b79c09949c1e777
131
  Downloading numpy (15.9MiB)
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  Downloaded numpy
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- Installed 1 package in 16ms
134
  ======================================================================
135
  RMT Diffusion Consistency reproduction -- Claim 3
136
  Testing Result 4.2, Eq. 7: exact denoiser variance/fluctuation law
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_3405df3525a0", "created_at": "2026-08-01T17:29:32+00:00", "title": "Run: hf rmt_diffusion_claim3.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "cpu-basic", "--secrets", "HF_TOKEN", "rmt_diffusion_claim3.py"], "exit_code": 0, "duration_s": 86.079}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim3.py
10
  ````
11
 
12
+ exit 0 · 86.1s
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15
  ````python title=rmt_diffusion_claim3.py
 
126
  ````output
127
  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
128
  warnings.warn(
129
+ Job started with ID: 6a6e2ca76b79c09949c1e7b7
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+ View at: https://huggingface.co/jobs/byte-vortex/6a6e2ca76b79c09949c1e7b7
131
  Downloading numpy (15.9MiB)
132
  Downloaded numpy
133
+ Installed 1 package in 18ms
134
  ======================================================================
135
  RMT Diffusion Consistency reproduction -- Claim 3
136
  Testing Result 4.2, Eq. 7: exact denoiser variance/fluctuation law
pages/claim-4-fractional-matrix-power-extension-to-sampling-trajectories/page.md CHANGED
@@ -3,13 +3,13 @@
3
 
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  ---
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  <!-- trackio-cell
6
- {"type": "code", "id": "cell_acde2c15e0f9", "created_at": "2026-08-01T17:10:13+00:00", "title": "Run: hf rmt_diffusion_claim4.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "cpu-basic", "--secrets", "HF_TOKEN", "rmt_diffusion_claim4.py"], "exit_code": 0, "duration_s": 16.173}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim4.py
10
  ````
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- exit 0 · 16.2s
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  ````python title=rmt_diffusion_claim4.py
@@ -233,11 +233,11 @@ if __name__ == "__main__":
233
  ````output
234
  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
235
  warnings.warn(
236
- Job started with ID: 6a6e2865a00abefd4b28bb56
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- View at: https://huggingface.co/jobs/byte-vortex/6a6e2865a00abefd4b28bb56
238
  Downloading numpy (15.9MiB)
239
  Downloaded numpy
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- Installed 1 package in 16ms
241
  ======================================================================
242
  RMT Diffusion Consistency reproduction -- Claim 4
243
  Testing Result 5.1 & 5.2 (Section 5): fractional-power DE for
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_effc44060182", "created_at": "2026-08-01T17:29:52+00:00", "title": "Run: hf rmt_diffusion_claim4.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "cpu-basic", "--secrets", "HF_TOKEN", "rmt_diffusion_claim4.py"], "exit_code": 0, "duration_s": 17.2}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim4.py
10
  ````
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+ exit 0 · 17.2s
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  ````python title=rmt_diffusion_claim4.py
 
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  ````output
234
  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
235
  warnings.warn(
236
+ Job started with ID: 6a6e2d006b79c09949c1e7bb
237
+ View at: https://huggingface.co/jobs/byte-vortex/6a6e2d006b79c09949c1e7bb
238
  Downloading numpy (15.9MiB)
239
  Downloaded numpy
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+ Installed 1 package in 17ms
241
  ======================================================================
242
  RMT Diffusion Consistency reproduction -- Claim 4
243
  Testing Result 5.1 & 5.2 (Section 5): fractional-power DE for
pages/claim-5-deep-network-validation-toy-scale/page.md CHANGED
@@ -3,13 +3,13 @@
3
 
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  ---
5
  <!-- trackio-cell
6
- {"type": "code", "id": "cell_171a585e413f", "created_at": "2026-08-01T17:11:02+00:00", "title": "Run: hf rmt_diffusion_claim5.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "a10g-small", "--secrets", "HF_TOKEN", "rmt_diffusion_claim5.py"], "exit_code": 0, "duration_s": 46.863}
7
  -->
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  ````bash
9
  $ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim5.py
10
  ````
11
 
12
- exit 0 · 46.9s
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  ````python title=rmt_diffusion_claim5.py
@@ -207,29 +207,29 @@ if __name__ == "__main__":
207
  ````output
208
  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
209
  warnings.warn(
210
- Job started with ID: 6a6e2878a00abefd4b28bb62
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- View at: https://huggingface.co/jobs/byte-vortex/6a6e2878a00abefd4b28bb62
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- Downloading nvidia-cuda-nvrtc (86.0MiB)
 
 
 
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  Downloading nvidia-cusparse (139.2MiB)
 
 
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  Downloading nvidia-nvshmem-cu13 (57.6MiB)
 
 
 
 
 
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  Downloading nvidia-nccl-cu13 (196.4MiB)
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- Downloading cuda-bindings (6.3MiB)
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- Downloading nvidia-cufile (1.2MiB)
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- Downloading nvidia-cusolver (191.6MiB)
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- Downloading networkx (2.0MiB)
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  Downloading sympy (6.0MiB)
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- Downloading nvidia-cuda-cupti (10.2MiB)
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- Downloading nvidia-nvjitlink (38.9MiB)
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  Downloading triton (188.6MiB)
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- Downloading numpy (15.9MiB)
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- Downloading nvidia-cudnn-cu13 (349.2MiB)
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  Downloading nvidia-curand (56.8MiB)
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- Downloading nvidia-cufft (204.2MiB)
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  Downloading nvidia-cublas (403.5MiB)
229
- Downloading nvidia-cusparselt-cu13 (162.3MiB)
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  Downloading nvidia-cuda-runtime (2.1MiB)
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- Downloading torch (502.2MiB)
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- Downloading pillow (6.6MiB)
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  Downloading torchvision (7.3MiB)
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  Downloaded nvidia-cufile
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  Downloaded nvidia-cuda-runtime
@@ -239,8 +239,8 @@ Downloading torchvision (7.3MiB)
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  Downloaded torchvision
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  Downloaded nvidia-cuda-cupti
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  Downloaded numpy
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- Downloaded nvidia-nvjitlink
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  Downloaded sympy
 
244
  Downloaded nvidia-curand
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  Downloaded nvidia-nvshmem-cu13
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  Downloaded nvidia-cuda-nvrtc
@@ -253,7 +253,7 @@ Downloading torchvision (7.3MiB)
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  Downloaded nvidia-cudnn-cu13
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  Downloaded nvidia-cublas
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  Downloaded torch
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- Installed 32 packages in 611ms
257
  ======================================================================
258
  RMT Diffusion Consistency reproduction -- Claim 5 (toy scale)
259
  Testing: do REAL TRAINED deep denoisers show the same
@@ -624,22 +624,22 @@ Using REAL MNIST data (14x14 downsampled, d=196).
624
  Split sizes: 400 / 400
625
 
626
  Training MLP denoiser on split A (400 samples)...
627
- step 500/1500 loss=0.5915
628
- step 1000/1500 loss=0.4807
629
- step 1500/1500 loss=0.3566
630
  Training MLP denoiser on split B (400 samples)...
631
- step 500/1500 loss=0.5550
632
- step 1000/1500 loss=0.4539
633
- step 1500/1500 loss=0.3710
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635
  [Results over 30 shared-seed trials, TRAINED deep MLP denoisers]
636
- Cross-split distance: 7.326 +/- 1.403
637
- Nearest-training-neighbor dist: 15.772 +/- 2.393
638
 
639
  ======================================================================
640
  SUMMARY
641
  PASS (toy scale): trained deep MLP denoisers show cross-split outputs
642
- 2.15x MORE similar to each other than to their nearest training
643
  example -- the same qualitative pattern the linear theory (Claim 1)
644
  predicts, now confirmed with REAL TRAINED nonlinear networks, not
645
  just the closed-form linear denoiser. Supports Claim 5 at toy scale.
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_a1b33d17bfca", "created_at": "2026-08-01T17:30:56+00:00", "title": "Run: hf rmt_diffusion_claim5.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "a10g-small", "--secrets", "HF_TOKEN", "rmt_diffusion_claim5.py"], "exit_code": 0, "duration_s": 61.15}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim5.py
10
  ````
11
 
12
+ exit 0 · 61.1s
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15
  ````python title=rmt_diffusion_claim5.py
 
207
  ````output
208
  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
209
  warnings.warn(
210
+ Job started with ID: 6a6e2d14a00abefd4b28bbad
211
+ View at: https://huggingface.co/jobs/byte-vortex/6a6e2d14a00abefd4b28bbad
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+ Downloading pillow (6.6MiB)
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+ Downloading networkx (2.0MiB)
214
+ Downloading nvidia-cufile (1.2MiB)
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+ Downloading numpy (15.9MiB)
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  Downloading nvidia-cusparse (139.2MiB)
217
+ Downloading nvidia-cudnn-cu13 (349.2MiB)
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+ Downloading nvidia-cusolver (191.6MiB)
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  Downloading nvidia-nvshmem-cu13 (57.6MiB)
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+ Downloading nvidia-cufft (204.2MiB)
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+ Downloading nvidia-cusparselt-cu13 (162.3MiB)
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+ Downloading nvidia-cuda-cupti (10.2MiB)
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+ Downloading nvidia-cuda-nvrtc (86.0MiB)
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+ Downloading torch (502.2MiB)
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  Downloading nvidia-nccl-cu13 (196.4MiB)
 
 
 
 
226
  Downloading sympy (6.0MiB)
 
 
227
  Downloading triton (188.6MiB)
 
 
228
  Downloading nvidia-curand (56.8MiB)
 
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  Downloading nvidia-cublas (403.5MiB)
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+ Downloading nvidia-nvjitlink (38.9MiB)
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  Downloading nvidia-cuda-runtime (2.1MiB)
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+ Downloading cuda-bindings (6.3MiB)
 
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  Downloaded sympy
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+ Downloaded nvidia-nvjitlink
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  Downloaded nvidia-curand
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256
+ Installed 32 packages in 628ms
257
  ======================================================================
258
  RMT Diffusion Consistency reproduction -- Claim 5 (toy scale)
259
  Testing: do REAL TRAINED deep denoisers show the same
 
624
  Split sizes: 400 / 400
625
 
626
  Training MLP denoiser on split A (400 samples)...
627
+ step 500/1500 loss=0.5924
628
+ step 1000/1500 loss=0.4802
629
+ step 1500/1500 loss=0.3548
630
  Training MLP denoiser on split B (400 samples)...
631
+ step 500/1500 loss=0.5619
632
+ step 1000/1500 loss=0.4501
633
+ step 1500/1500 loss=0.3663
634
 
635
  [Results over 30 shared-seed trials, TRAINED deep MLP denoisers]
636
+ Cross-split distance: 6.981 +/- 0.887
637
+ Nearest-training-neighbor dist: 15.758 +/- 2.261
638
 
639
  ======================================================================
640
  SUMMARY
641
  PASS (toy scale): trained deep MLP denoisers show cross-split outputs
642
+ 2.26x MORE similar to each other than to their nearest training
643
  example -- the same qualitative pattern the linear theory (Claim 1)
644
  predicts, now confirmed with REAL TRAINED nonlinear networks, not
645
  just the closed-form linear denoiser. Supports Claim 5 at toy scale.
pages/claim-6-deep-network-validation-scoped-toy-scale-cifar10-only/page.md CHANGED
@@ -3,13 +3,13 @@
3
 
4
  ---
5
  <!-- trackio-cell
6
- {"type": "code", "id": "cell_b022e3f5f054", "created_at": "2026-08-01T17:16:26+00:00", "title": "Run: hf rmt_diffusion_claim6.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "a10g-small", "--timeout", "3600", "--secrets", "HF_TOKEN", "rmt_diffusion_claim6.py"], "exit_code": 0, "duration_s": 321.232}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor a10g-small --timeout 3600 --secrets HF_TOKEN rmt_diffusion_claim6.py
10
  ````
11
 
12
- exit 0 · 321.2s
13
 
14
 
15
  ````python title=rmt_diffusion_claim6.py
@@ -489,29 +489,29 @@ if __name__ == "__main__":
489
  ````output
490
  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
491
  warnings.warn(
492
- Job started with ID: 6a6e28a96b79c09949c1e77d
493
- View at: https://huggingface.co/jobs/byte-vortex/6a6e28a96b79c09949c1e77d
494
- Downloading networkx (2.0MiB)
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510
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  Downloaded nvidia-cufile
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@@ -521,8 +521,8 @@ Downloading torchvision (7.3MiB)
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  Downloaded torchvision
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524
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  Downloaded nvidia-nvshmem-cu13
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  Downloaded nvidia-cuda-nvrtc
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_1980f5703490", "created_at": "2026-08-01T17:36:21+00:00", "title": "Run: hf rmt_diffusion_claim6.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "a10g-small", "--timeout", "3600", "--secrets", "HF_TOKEN", "rmt_diffusion_claim6.py"], "exit_code": 0, "duration_s": 322.462}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor a10g-small --timeout 3600 --secrets HF_TOKEN rmt_diffusion_claim6.py
10
  ````
11
 
12
+ exit 0 · 322.5s
13
 
14
 
15
  ````python title=rmt_diffusion_claim6.py
 
489
  ````output
490
  /usr/local/lib/python3.12/dist-packages/huggingface_hub/utils/_experimental.py:59: UserWarning: 'HfApi.run_uv_job' is experimental and might be subject to breaking changes in the future without prior notice. You can disable this warning by setting `HF_HUB_DISABLE_EXPERIMENTAL_WARNING=1` as environment variable.
491
  warnings.warn(
492
+ Job started with ID: 6a6e2d53a00abefd4b28bbbf
493
+ View at: https://huggingface.co/jobs/byte-vortex/6a6e2d53a00abefd4b28bbbf
494
+ Downloading nvidia-cusparselt-cu13 (162.3MiB)
 
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  Downloading pillow (6.6MiB)
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  Downloading nvidia-cufile (1.2MiB)
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+ Downloading nvidia-nvjitlink (38.9MiB)
 
 
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+ Downloading nvidia-cusolver (191.6MiB)
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  Downloading nvidia-curand (56.8MiB)
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+ Downloading nvidia-cuda-cupti (10.2MiB)
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+ Downloading nvidia-nvshmem-cu13 (57.6MiB)
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+ Downloading numpy (15.9MiB)
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  Downloading nvidia-cuda-runtime (2.1MiB)
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+ Downloading networkx (2.0MiB)
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+ Downloading nvidia-cublas (403.5MiB)
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  Downloading nvidia-cufft (204.2MiB)
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+ Downloading nvidia-cusparse (139.2MiB)
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+ Downloading nvidia-nccl-cu13 (196.4MiB)
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+ Downloading sympy (6.0MiB)
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  Downloading triton (188.6MiB)
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+ Downloading nvidia-cudnn-cu13 (349.2MiB)
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pages/conclusion/page.md CHANGED
@@ -3,7 +3,7 @@
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4
  ---
5
  <!-- trackio-cell
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- {"type": "markdown", "id": "cell_9c7f42a689b3", "created_at": "2026-08-01T17:16:27+00:00", "title": "Conclusion"}
7
  -->
8
  This reproduction verified all 5 claims from the official challenge for "A Random Matrix Perspective on the Consistency of Diffusion Models" (arXiv 2602.02908, ICML 2026 Oral).
9
 
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "markdown", "id": "cell_3d81cae8808d", "created_at": "2026-08-01T17:36:22+00:00", "title": "Conclusion"}
7
  -->
8
  This reproduction verified all 5 claims from the official challenge for "A Random Matrix Perspective on the Consistency of Diffusion Models" (arXiv 2602.02908, ICML 2026 Oral).
9
 
pages/executive-summary/page.md CHANGED
@@ -3,7 +3,7 @@
3
 
4
  ---
5
  <!-- trackio-cell
6
- {"type": "markdown", "id": "cell_965ec8597be4", "created_at": "2026-08-01T17:06:31+00:00", "title": "Executive summary", "pinned": true, "pinned_at": "2026-08-01T17:06:32+00:00"}
7
  -->
8
  Reproduction of "A Random Matrix Theory Perspective on the Consistency of Diffusion Models" (arXiv 2602.02908), an ICML 2026 ORAL presentation (Wang, Zavatone-Veth, Pehlevan, Harvard University).
9
 
@@ -29,7 +29,7 @@ All empirical claims were run as real, independently-verifiable Hugging Face Job
29
 
30
  ---
31
  <!-- trackio-cell
32
- {"type": "figure", "id": "cell_7bc3bb9a2eb7", "created_at": "2026-08-01T17:06:33+00:00", "title": "Reproduction poster", "pinned": true, "pinned_at": "2026-08-01T17:06:34+00:00"}
33
  -->
34
  ````html
35
  <div style="font-family: -apple-system, sans-serif; max-width: 900px; margin: 0 auto; padding: 24px; border: 1px solid #ddd; border-radius: 8px;">
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "markdown", "id": "cell_59380bfb7ff3", "created_at": "2026-08-01T17:25:03+00:00", "title": "Executive summary", "pinned": true, "pinned_at": "2026-08-01T17:25:04+00:00"}
7
  -->
8
  Reproduction of "A Random Matrix Theory Perspective on the Consistency of Diffusion Models" (arXiv 2602.02908), an ICML 2026 ORAL presentation (Wang, Zavatone-Veth, Pehlevan, Harvard University).
9
 
 
29
 
30
  ---
31
  <!-- trackio-cell
32
+ {"type": "figure", "id": "cell_06f44d0248e8", "created_at": "2026-08-01T17:25:05+00:00", "title": "Reproduction poster", "pinned": true, "pinned_at": "2026-08-01T17:25:06+00:00"}
33
  -->
34
  ````html
35
  <div style="font-family: -apple-system, sans-serif; max-width: 900px; margin: 0 auto; padding: 24px; border: 1px solid #ddd; border-radius: 8px;">
workspace.json CHANGED
@@ -5,34 +5,34 @@
5
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6
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7
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8
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9
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14
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19
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21
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24
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29
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33
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34
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35
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36
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37
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38
  "reference_only": true
 
5
  "files": [],
6
  "hub_refs": [
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8
+ "url": "https://huggingface.co/jobs/byte-vortex/6a6e2bf66b79c09949c1e7a5",
9
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13
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14
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18
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19
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20
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21
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22
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23
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24
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25
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26
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27
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28
+ "url": "https://huggingface.co/jobs/byte-vortex/6a6e2d14a00abefd4b28bbad",
29
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30
+ "label": "byte-vortex/6a6e2d14a00abefd4b28bbad"
31
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32
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33
+ "url": "https://huggingface.co/jobs/byte-vortex/6a6e2d53a00abefd4b28bbbf",
34
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35
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36
  }
37
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38
  "reference_only": true