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

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Files changed (13) hide show
  1. README.md +2 -2
  2. index.html +1 -1
  3. logbook.json +5 -5
  4. pages/claim-1-linear-model-predicts-cross-split-consistency/page.md +22 -22
  5. pages/claim-2-self-consistency-equation-and-renormalized-noise/page.md +5 -5
  6. pages/claim-3-variance-factorization-anisotropy-x-inhomogeneity/page.md +5 -5
  7. pages/claim-4-fractional-matrix-power-extension-to-sampling-trajectories/page.md +5 -5
  8. pages/claim-5-deep-network-validation-toy-scale/page.md +30 -30
  9. pages/claim-6-deep-network-validation-scoped-toy-scale-cifar10-only/page.md +21 -21
  10. pages/conclusion/page.md +1 -1
  11. pages/executive-summary/page.md +2 -2
  12. pages/index.md +1 -1
  13. workspace.json +12 -12
README.md CHANGED
@@ -1,5 +1,5 @@
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  ---
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- title: "Reproduction: A Random Matrix Perspective on the Consistency of Diffusion Models"
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  emoji: 🎯
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  colorFrom: yellow
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  colorTo: red
@@ -14,6 +14,6 @@ tags:
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  - arxiv:2602.02908
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  ---
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- # Reproduction: A Random Matrix Perspective on the Consistency of Diffusion Models
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  An open experiment logbook, published with [Trackio](https://github.com/gradio-app/trackio).
 
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  ---
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+ title: "Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models"
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  emoji: 🎯
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  colorFrom: yellow
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  colorTo: red
 
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  - arxiv:2602.02908
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  ---
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+ # Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models
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  An open experiment logbook, published with [Trackio](https://github.com/gradio-app/trackio).
index.html CHANGED
@@ -3,7 +3,7 @@
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  <head>
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  <meta charset="utf-8" />
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  <meta name="viewport" content="width=device-width, initial-scale=1" />
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- <title>Reproduction: A Random Matrix Perspective on the Consistency of Diffusion Models</title>
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  <link rel="stylesheet" href="./logbook.css" />
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  </head>
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  <body>
 
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  <head>
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  <meta charset="utf-8" />
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  <meta name="viewport" content="width=device-width, initial-scale=1" />
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+ <title>Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models</title>
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  <link rel="stylesheet" href="./logbook.css" />
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  </head>
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  <body>
logbook.json CHANGED
@@ -1,6 +1,6 @@
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  {
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  "schema_version": 2,
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- "title": "Reproduction: A Random Matrix Perspective on the Consistency of Diffusion Models",
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  "emoji": "🎯",
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  "space_id": "byte-vortex/repro-diffusion-consistency",
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  "paper": {
@@ -10,10 +10,10 @@
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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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  "file": "pages/index.md",
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  "children": [
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  {
@@ -73,8 +73,8 @@
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  "total_size": 0,
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  "bucket_id": null
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  },
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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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  }
 
1
  {
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  "schema_version": 2,
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+ "title": "Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models",
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  "emoji": "🎯",
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  "space_id": "byte-vortex/repro-diffusion-consistency",
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  "paper": {
 
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  "icml2026-repro",
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  "paper-iPjuUQbkfl"
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  ],
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+ "updated_at": "2026-08-01T18:02:05+00:00",
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  "root": {
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  "slug": "index",
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+ "title": "Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models",
17
  "file": "pages/index.md",
18
  "children": [
19
  {
 
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  "total_size": 0,
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  "bucket_id": null
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  },
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+ "agent_view_tokens": 3154,
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  "trace_view_tokens": 10,
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  "workspace_view_tokens": 8,
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+ "revision": "56add3a484f11d0181ca"
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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_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}
7
  -->
8
  ````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
@@ -188,30 +188,30 @@ if __name__ == "__main__":
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  ````output
189
  /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
@@ -234,7 +234,7 @@ Downloading nvidia-cufft (204.2MiB)
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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
238
  ======================================================================
239
  RMT Diffusion Consistency reproduction -- Claim 1
240
  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]
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
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_74ac76be8d42", "created_at": "2026-08-01T17:50:55+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": 47.82}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim1.py
10
  ````
11
 
12
+ exit 0 · 47.8s
13
 
14
 
15
  ````python title=rmt_diffusion_claim1.py
 
188
  ````output
189
  /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.
190
  warnings.warn(
191
+ Job started with ID: 6a6e31d0a00abefd4b28bc1f
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+ View at: https://huggingface.co/jobs/byte-vortex/6a6e31d0a00abefd4b28bc1f
193
+ Downloading nvidia-cufile (1.2MiB)
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+ Downloading triton (188.6MiB)
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+ Downloading nvidia-cusparselt-cu13 (162.3MiB)
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+ Downloading nvidia-cufft (204.2MiB)
197
  Downloading nvidia-cuda-runtime (2.1MiB)
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  Downloading networkx (2.0MiB)
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+ Downloading nvidia-cusolver (191.6MiB)
200
+ Downloading nvidia-nccl-cu13 (196.4MiB)
201
  Downloading pillow (6.6MiB)
202
+ Downloading nvidia-cusparse (139.2MiB)
 
 
203
  Downloading nvidia-curand (56.8MiB)
204
+ Downloading sympy (6.0MiB)
205
+ Downloading nvidia-cublas (403.5MiB)
206
  Downloading nvidia-nvjitlink (38.9MiB)
 
207
  Downloading cuda-bindings (6.3MiB)
208
+ Downloading numpy (15.9MiB)
209
  Downloading nvidia-cuda-cupti (10.2MiB)
210
+ Downloading nvidia-cudnn-cu13 (349.2MiB)
211
+ Downloading nvidia-cuda-nvrtc (86.0MiB)
212
+ Downloading nvidia-nvshmem-cu13 (57.6MiB)
213
  Downloading torchvision (7.3MiB)
214
+ Downloading torch (502.2MiB)
 
 
215
  Downloaded nvidia-cufile
216
  Downloaded nvidia-cuda-runtime
217
  Downloaded networkx
 
234
  Downloaded nvidia-cudnn-cu13
235
  Downloaded nvidia-cublas
236
  Downloaded torch
237
+ Installed 32 packages in 231ms
238
  ======================================================================
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): 0.352 +/- 0.039
610
+ Nearest-training-neighbor distance (memorization check): 2.652 +/- 0.335
611
 
612
  ======================================================================
613
  SUMMARY
614
+ PASS: cross-split outputs are 7.54x 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 @@
3
 
4
  ---
5
  <!-- trackio-cell
6
- {"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
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim2.py
10
  ````
11
 
12
- exit 0 · 124.2s
13
 
14
 
15
  ````python title=rmt_diffusion_claim2.py
@@ -142,11 +142,11 @@ if __name__ == "__main__":
142
  ````output
143
  /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.
144
  warnings.warn(
145
- Job started with ID: 6a6e2c286b79c09949c1e7a9
146
- View at: https://huggingface.co/jobs/byte-vortex/6a6e2c286b79c09949c1e7a9
147
  Downloading numpy (15.9MiB)
148
  Downloaded numpy
149
- Installed 1 package in 17ms
150
  ======================================================================
151
  RMT Diffusion Consistency reproduction -- Claim 2
152
  Testing Proposition 4.1: sigma^2 -> kappa(sigma^2) renormalization
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_024224493f3e", "created_at": "2026-08-01T17:52:54+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": 116.465}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim2.py
10
  ````
11
 
12
+ exit 0 · 116.5s
13
 
14
 
15
  ````python title=rmt_diffusion_claim2.py
 
142
  ````output
143
  /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.
144
  warnings.warn(
145
+ Job started with ID: 6a6e32026b79c09949c1e824
146
+ View at: https://huggingface.co/jobs/byte-vortex/6a6e32026b79c09949c1e824
147
  Downloading numpy (15.9MiB)
148
  Downloaded numpy
149
+ Installed 1 package in 16ms
150
  ======================================================================
151
  RMT Diffusion Consistency reproduction -- Claim 2
152
  Testing Proposition 4.1: sigma^2 -> kappa(sigma^2) renormalization
pages/claim-3-variance-factorization-anisotropy-x-inhomogeneity/page.md CHANGED
@@ -3,13 +3,13 @@
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
13
 
14
 
15
  ````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: 6a6e2ca76b79c09949c1e7b7
130
- 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
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_92ee2e72afe8", "created_at": "2026-08-01T17:53:41+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": 45.113}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim3.py
10
  ````
11
 
12
+ exit 0 · 45.1s
13
 
14
 
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: 6a6e3279a00abefd4b28bc3f
130
+ View at: https://huggingface.co/jobs/byte-vortex/6a6e3279a00abefd4b28bc3f
131
  Downloading numpy (15.9MiB)
132
  Downloaded numpy
133
+ 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
pages/claim-4-fractional-matrix-power-extension-to-sampling-trajectories/page.md CHANGED
@@ -3,13 +3,13 @@
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
  ````
11
 
12
- exit 0 · 17.2s
13
 
14
 
15
  ````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: 6a6e2d006b79c09949c1e7bb
237
- View at: https://huggingface.co/jobs/byte-vortex/6a6e2d006b79c09949c1e7bb
238
  Downloading numpy (15.9MiB)
239
  Downloaded numpy
240
- 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
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_a2b99bd432b0", "created_at": "2026-08-01T17:54:00+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": 16.469}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim4.py
10
  ````
11
 
12
+ exit 0 · 16.5s
13
 
14
 
15
  ````python title=rmt_diffusion_claim4.py
 
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: 6a6e32a9a00abefd4b28bc41
237
+ View at: https://huggingface.co/jobs/byte-vortex/6a6e32a9a00abefd4b28bc41
238
  Downloading numpy (15.9MiB)
239
  Downloaded numpy
240
+ 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
pages/claim-5-deep-network-validation-toy-scale/page.md CHANGED
@@ -3,13 +3,13 @@
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
13
 
14
 
15
  ````python title=rmt_diffusion_claim5.py
@@ -207,30 +207,30 @@ 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: 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)
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  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)
220
- Downloading nvidia-cufft (204.2MiB)
221
  Downloading nvidia-cusparselt-cu13 (162.3MiB)
222
- Downloading nvidia-cuda-cupti (10.2MiB)
223
  Downloading nvidia-cuda-nvrtc (86.0MiB)
224
- Downloading torch (502.2MiB)
225
- Downloading nvidia-nccl-cu13 (196.4MiB)
226
- Downloading sympy (6.0MiB)
227
- Downloading triton (188.6MiB)
228
- Downloading nvidia-curand (56.8MiB)
229
- Downloading nvidia-cublas (403.5MiB)
230
- Downloading nvidia-nvjitlink (38.9MiB)
231
- Downloading nvidia-cuda-runtime (2.1MiB)
232
- Downloading cuda-bindings (6.3MiB)
233
  Downloading torchvision (7.3MiB)
 
 
234
  Downloaded nvidia-cufile
235
  Downloaded nvidia-cuda-runtime
236
  Downloaded networkx
@@ -253,7 +253,7 @@ Downloading torchvision (7.3MiB)
253
  Downloaded nvidia-cudnn-cu13
254
  Downloaded nvidia-cublas
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  Downloaded torch
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
@@ -624,22 +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=0.5924
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.
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_4e8f841fc018", "created_at": "2026-08-01T17:56:36+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": 153.665}
7
  -->
8
  ````bash
9
  $ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim5.py
10
  ````
11
 
12
+ exit 0 · 153.7s
13
 
14
 
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: 6a6e32bba00abefd4b28bc45
211
+ View at: https://huggingface.co/jobs/byte-vortex/6a6e32bba00abefd4b28bc45
212
+ Downloading nvidia-nvshmem-cu13 (57.6MiB)
213
+ Downloading nvidia-curand (56.8MiB)
214
+ Downloading cuda-bindings (6.3MiB)
215
+ Downloading sympy (6.0MiB)
216
+ Downloading nvidia-nvjitlink (38.9MiB)
217
+ Downloading nvidia-cufft (204.2MiB)
218
+ Downloading triton (188.6MiB)
219
+ Downloading nvidia-cusolver (191.6MiB)
220
+ Downloading nvidia-cuda-runtime (2.1MiB)
221
+ Downloading nvidia-cublas (403.5MiB)
222
  Downloading networkx (2.0MiB)
223
  Downloading nvidia-cufile (1.2MiB)
 
 
224
  Downloading nvidia-cudnn-cu13 (349.2MiB)
225
+ Downloading nvidia-nccl-cu13 (196.4MiB)
 
 
226
  Downloading nvidia-cusparselt-cu13 (162.3MiB)
 
227
  Downloading nvidia-cuda-nvrtc (86.0MiB)
228
+ Downloading numpy (15.9MiB)
229
+ Downloading nvidia-cusparse (139.2MiB)
230
+ Downloading pillow (6.6MiB)
 
 
 
 
 
 
231
  Downloading torchvision (7.3MiB)
232
+ Downloading nvidia-cuda-cupti (10.2MiB)
233
+ Downloading torch (502.2MiB)
234
  Downloaded nvidia-cufile
235
  Downloaded nvidia-cuda-runtime
236
  Downloaded networkx
 
253
  Downloaded nvidia-cudnn-cu13
254
  Downloaded nvidia-cublas
255
  Downloaded torch
256
+ Installed 32 packages in 646ms
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=0.5933
628
+ step 1000/1500 loss=0.4851
629
+ step 1500/1500 loss=0.3586
630
  Training MLP denoiser on split B (400 samples)...
631
+ step 500/1500 loss=0.5658
632
+ step 1000/1500 loss=0.4498
633
+ step 1500/1500 loss=0.3666
634
 
635
  [Results over 30 shared-seed trials, TRAINED deep MLP denoisers]
636
+ Cross-split distance: 7.074 +/- 0.886
637
+ Nearest-training-neighbor dist: 15.833 +/- 2.294
638
 
639
  ======================================================================
640
  SUMMARY
641
  PASS (toy scale): trained deep MLP denoisers show cross-split outputs
642
+ 2.24x 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_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
@@ -489,30 +489,30 @@ 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: 6a6e2d53a00abefd4b28bbbf
493
- View at: https://huggingface.co/jobs/byte-vortex/6a6e2d53a00abefd4b28bbbf
494
- Downloading nvidia-cusparselt-cu13 (162.3MiB)
495
- Downloading pillow (6.6MiB)
496
- Downloading nvidia-cufile (1.2MiB)
497
- Downloading nvidia-nvjitlink (38.9MiB)
498
- Downloading nvidia-cuda-nvrtc (86.0MiB)
499
- Downloading nvidia-cusolver (191.6MiB)
500
  Downloading nvidia-curand (56.8MiB)
501
- Downloading nvidia-cuda-cupti (10.2MiB)
502
- Downloading nvidia-nvshmem-cu13 (57.6MiB)
503
- Downloading numpy (15.9MiB)
504
  Downloading nvidia-cuda-runtime (2.1MiB)
505
  Downloading networkx (2.0MiB)
506
- Downloading nvidia-cublas (403.5MiB)
507
  Downloading nvidia-cufft (204.2MiB)
508
- Downloading nvidia-cusparse (139.2MiB)
 
509
  Downloading nvidia-nccl-cu13 (196.4MiB)
510
  Downloading sympy (6.0MiB)
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- Downloading triton (188.6MiB)
512
- Downloading nvidia-cudnn-cu13 (349.2MiB)
513
- Downloading cuda-bindings (6.3MiB)
514
- Downloading torch (502.2MiB)
 
 
515
  Downloading torchvision (7.3MiB)
 
 
 
 
 
 
516
  Downloaded nvidia-cufile
517
  Downloaded nvidia-cuda-runtime
518
  Downloaded networkx
@@ -521,8 +521,8 @@ Downloading torchvision (7.3MiB)
521
  Downloaded torchvision
522
  Downloaded nvidia-cuda-cupti
523
  Downloaded numpy
524
- Downloaded nvidia-nvjitlink
525
  Downloaded sympy
 
526
  Downloaded nvidia-curand
527
  Downloaded nvidia-nvshmem-cu13
528
  Downloaded nvidia-cuda-nvrtc
@@ -535,7 +535,7 @@ Downloading torchvision (7.3MiB)
535
  Downloaded nvidia-cudnn-cu13
536
  Downloaded nvidia-cublas
537
  Downloaded torch
538
- Installed 32 packages in 613ms
539
  ======================================================================
540
  RMT Diffusion Consistency reproduction -- Claim 6 (SCOPED TOY SCALE)
541
  Testing official Claim 5: consistency vs linear theory,
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "code", "id": "cell_f4ac86a756fa", "created_at": "2026-08-01T18:02:01+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": 323.022}
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 · 323.0s
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: 6a6e3357a00abefd4b28bc57
493
+ View at: https://huggingface.co/jobs/byte-vortex/6a6e3357a00abefd4b28bc57
 
 
 
 
 
 
494
  Downloading nvidia-curand (56.8MiB)
495
+ Downloading pillow (6.6MiB)
 
 
496
  Downloading nvidia-cuda-runtime (2.1MiB)
497
  Downloading networkx (2.0MiB)
 
498
  Downloading nvidia-cufft (204.2MiB)
499
+ Downloading nvidia-cufile (1.2MiB)
500
+ Downloading cuda-bindings (6.3MiB)
501
  Downloading nvidia-nccl-cu13 (196.4MiB)
502
  Downloading sympy (6.0MiB)
503
+ Downloading numpy (15.9MiB)
504
+ Downloading nvidia-cusolver (191.6MiB)
505
+ Downloading nvidia-cuda-cupti (10.2MiB)
506
+ Downloading nvidia-cuda-nvrtc (86.0MiB)
507
+ Downloading nvidia-cusparse (139.2MiB)
508
+ Downloading nvidia-nvjitlink (38.9MiB)
509
  Downloading torchvision (7.3MiB)
510
+ Downloading nvidia-nvshmem-cu13 (57.6MiB)
511
+ Downloading torch (502.2MiB)
512
+ Downloading nvidia-cublas (403.5MiB)
513
+ Downloading nvidia-cusparselt-cu13 (162.3MiB)
514
+ Downloading nvidia-cudnn-cu13 (349.2MiB)
515
+ Downloading triton (188.6MiB)
516
  Downloaded nvidia-cufile
517
  Downloaded nvidia-cuda-runtime
518
  Downloaded networkx
 
521
  Downloaded torchvision
522
  Downloaded nvidia-cuda-cupti
523
  Downloaded numpy
 
524
  Downloaded sympy
525
+ Downloaded nvidia-nvjitlink
526
  Downloaded nvidia-curand
527
  Downloaded nvidia-nvshmem-cu13
528
  Downloaded nvidia-cuda-nvrtc
 
535
  Downloaded nvidia-cudnn-cu13
536
  Downloaded nvidia-cublas
537
  Downloaded torch
538
+ Installed 32 packages in 565ms
539
  ======================================================================
540
  RMT Diffusion Consistency reproduction -- Claim 6 (SCOPED TOY SCALE)
541
  Testing official Claim 5: consistency vs linear theory,
pages/conclusion/page.md CHANGED
@@ -3,7 +3,7 @@
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
 
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "markdown", "id": "cell_1bc2fe05e050", "created_at": "2026-08-01T18:02:03+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_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
 
@@ -29,7 +29,7 @@ All empirical claims were run as real, independently-verifiable Hugging Face Job
29
 
30
  ---
31
  <!-- trackio-cell
32
- {"type": "figure", "id": "cell_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;">
 
3
 
4
  ---
5
  <!-- trackio-cell
6
+ {"type": "markdown", "id": "cell_6f59ee69c040", "created_at": "2026-08-01T17:50:02+00:00", "title": "Executive summary", "pinned": true, "pinned_at": "2026-08-01T17:50:03+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_85eb120768fc", "created_at": "2026-08-01T17:50:04+00:00", "title": "Reproduction poster", "pinned": true, "pinned_at": "2026-08-01T17:50:05+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;">
pages/index.md CHANGED
@@ -1,4 +1,4 @@
1
- # Reproduction: A Random Matrix Perspective on the Consistency of Diffusion Models
2
 
3
  ## Pages
4
 
 
1
+ # Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models
2
 
3
  ## Pages
4
 
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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36
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38
  "reference_only": true
 
5
  "files": [],
6
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+ "url": "https://huggingface.co/jobs/byte-vortex/6a6e31d0a00abefd4b28bc1f",
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26
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27
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28
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38
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