Update logbook: Reproduction: A Random Matrix Perspective on the Consistency of Diffusion Models
Browse files- logbook.json +2 -2
- pages/claim-1-linear-model-predicts-cross-split-consistency/page.md +23 -23
- pages/claim-2-self-consistency-equation-and-renormalized-noise/page.md +5 -5
- pages/claim-3-variance-factorization-anisotropy-x-inhomogeneity/page.md +4 -4
- pages/claim-4-fractional-matrix-power-extension-to-sampling-trajectories/page.md +5 -5
- pages/claim-5-deep-network-validation-toy-scale/page.md +29 -29
- pages/claim-6-deep-network-validation-scoped-toy-scale-cifar10-only/page.md +18 -18
- pages/conclusion/page.md +1 -1
- pages/executive-summary/page.md +2 -2
- workspace.json +12 -12
logbook.json
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"icml2026-repro",
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"paper-iPjuUQbkfl"
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],
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"updated_at": "2026-08-
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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": 3152,
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"trace_view_tokens": 10,
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"workspace_view_tokens": 8,
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"revision": "
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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": "2026-08-01T09:08:52+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": 3152,
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"trace_view_tokens": 10,
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"workspace_view_tokens": 8,
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"revision": "5cf7e9723c4bda2b0942"
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}
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pages/claim-1-linear-model-predicts-cross-split-consistency/page.md
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---
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<!-- trackio-cell
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{"type": "code", "id": "
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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 ·
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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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Installed 32 packages in
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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
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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.
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Nearest-training-neighbor distance (memorization check): 2.
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======================================================================
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SUMMARY
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PASS: cross-split outputs are
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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
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---
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<!-- trackio-cell
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+
{"type": "code", "id": "cell_a47196b85139", "created_at": "2026-08-01T08:58:15+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": 42.362}
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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 · 42.4s
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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: 6a6db4fda00abefd4b28b2b5
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View at: https://huggingface.co/jobs/byte-vortex/6a6db4fda00abefd4b28b2b5
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Downloading networkx (2.0MiB)
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Downloading pillow (6.6MiB)
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Installed 32 packages in 216ms
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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
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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): 0.381 +/- 0.057
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Nearest-training-neighbor distance (memorization check): 2.653 +/- 0.335
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======================================================================
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SUMMARY
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PASS: cross-split outputs are 6.97x 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
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pages/claim-2-self-consistency-equation-and-renormalized-noise/page.md
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---
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<!-- trackio-cell
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-
{"type": "code", "id": "
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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 ·
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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:
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-
View at: https://huggingface.co/jobs/byte-vortex/
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Downloading numpy (15.9MiB)
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Downloaded numpy
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Installed 1 package in
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======================================================================
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RMT Diffusion Consistency reproduction -- Claim 2
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Testing Proposition 4.1: sigma^2 -> kappa(sigma^2) renormalization
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---
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<!-- trackio-cell
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+
{"type": "code", "id": "cell_751ae890e42a", "created_at": "2026-08-01T08:59:25+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": 68.234}
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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 · 68.2s
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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: 6a6db5296b79c09949c1e3cf
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+
View at: https://huggingface.co/jobs/byte-vortex/6a6db5296b79c09949c1e3cf
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Downloading numpy (15.9MiB)
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Downloaded numpy
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+
Installed 1 package in 15ms
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======================================================================
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RMT Diffusion Consistency reproduction -- Claim 2
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Testing Proposition 4.1: sigma^2 -> kappa(sigma^2) renormalization
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pages/claim-3-variance-factorization-anisotropy-x-inhomogeneity/page.md
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---
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<!-- trackio-cell
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-
{"type": "code", "id": "
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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_claim3.py
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````
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exit 0 ·
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````python title=rmt_diffusion_claim3.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:
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View at: https://huggingface.co/jobs/byte-vortex/
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Downloading numpy (15.9MiB)
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Downloaded numpy
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Installed 1 package in 16ms
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---
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<!-- trackio-cell
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+
{"type": "code", "id": "cell_a833a57f5f84", "created_at": "2026-08-01T09:00:34+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": 67.417}
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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_claim3.py
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````
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exit 0 · 67.4s
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````python title=rmt_diffusion_claim3.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: 6a6db570a00abefd4b28b2bd
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+
View at: https://huggingface.co/jobs/byte-vortex/6a6db570a00abefd4b28b2bd
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Downloading numpy (15.9MiB)
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Downloaded numpy
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Installed 1 package in 16ms
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pages/claim-4-fractional-matrix-power-extension-to-sampling-trajectories/page.md
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---
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<!-- trackio-cell
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-
{"type": "code", "id": "
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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_claim4.py
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````
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````python title=rmt_diffusion_claim4.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:
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View at: https://huggingface.co/jobs/byte-vortex/
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Downloading numpy (15.9MiB)
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Downloaded numpy
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-
Installed 1 package in
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======================================================================
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RMT Diffusion Consistency reproduction -- Claim 4
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Testing Result 5.1 & 5.2 (Section 5): fractional-power DE for
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---
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<!-- trackio-cell
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+
{"type": "code", "id": "cell_0140ae9bc86d", "created_at": "2026-08-01T09:01:17+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": 41.027}
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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_claim4.py
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````
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exit 0 · 41.0s
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````python title=rmt_diffusion_claim4.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: 6a6db5b5a00abefd4b28b2ec
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+
View at: https://huggingface.co/jobs/byte-vortex/6a6db5b5a00abefd4b28b2ec
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Downloading numpy (15.9MiB)
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Downloaded numpy
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Installed 1 package in 15ms
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======================================================================
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RMT Diffusion Consistency reproduction -- Claim 4
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Testing Result 5.1 & 5.2 (Section 5): fractional-power DE for
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pages/claim-5-deep-network-validation-toy-scale/page.md
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<!-- trackio-cell
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{"type": "code", "id": "
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-->
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````bash
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$ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim5.py
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````
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exit 0 ·
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````python title=rmt_diffusion_claim5.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:
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Installed 32 packages in
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======================================================================
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RMT Diffusion Consistency reproduction -- Claim 5 (toy scale)
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Testing: do REAL TRAINED deep denoisers show the same
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Split sizes: 400 / 400
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Training MLP denoiser on split A (400 samples)...
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[Results over 30 shared-seed trials, TRAINED deep MLP denoisers]
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Cross-split distance: 7.
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Nearest-training-neighbor dist: 16.
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| 638 |
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======================================================================
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SUMMARY
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PASS (toy scale): trained deep MLP denoisers show cross-split outputs
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2.
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example -- the same qualitative pattern the linear theory (Claim 1)
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predicts, now confirmed with REAL TRAINED nonlinear networks, not
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just the closed-form linear denoiser. Supports Claim 5 at toy scale.
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---
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<!-- trackio-cell
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{"type": "code", "id": "cell_8308fac80873", "created_at": "2026-08-01T09:03:25+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": 126.279}
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````bash
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$ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim5.py
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exit 0 · 126.3s
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````python title=rmt_diffusion_claim5.py
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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: 6a6db5e06b79c09949c1e3dd
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======================================================================
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RMT Diffusion Consistency reproduction -- Claim 5 (toy scale)
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Testing: do REAL TRAINED deep denoisers show the same
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Split sizes: 400 / 400
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step 1500/1500 loss=0.3503
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Training MLP denoiser on split B (400 samples)...
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step 1000/1500 loss=0.4545
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step 1500/1500 loss=0.3652
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| 634 |
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[Results over 30 shared-seed trials, TRAINED deep MLP denoisers]
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Cross-split distance: 7.799 +/- 1.786
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+
Nearest-training-neighbor dist: 16.517 +/- 2.882
|
| 638 |
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| 639 |
======================================================================
|
| 640 |
SUMMARY
|
| 641 |
PASS (toy scale): trained deep MLP denoisers show cross-split outputs
|
| 642 |
+
2.12x MORE similar to each other than to their nearest training
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| 643 |
example -- the same qualitative pattern the linear theory (Claim 1)
|
| 644 |
predicts, now confirmed with REAL TRAINED nonlinear networks, not
|
| 645 |
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|
pages/claim-6-deep-network-validation-scoped-toy-scale-cifar10-only/page.md
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<!-- trackio-cell
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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.
|
| 491 |
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Job started with ID:
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| 493 |
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View at: https://huggingface.co/jobs/byte-vortex/
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| 494 |
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======================================================================
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RMT Diffusion Consistency reproduction -- Claim 6 (SCOPED TOY SCALE)
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Testing official Claim 5: consistency vs linear theory,
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---
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| 5 |
<!-- trackio-cell
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| 6 |
+
{"type": "code", "id": "cell_2312292754fd", "created_at": "2026-08-01T09:08:49+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": 321.616}
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````bash
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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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Job started with ID: 6a6db6606b79c09949c1e3e5
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View at: https://huggingface.co/jobs/byte-vortex/6a6db6606b79c09949c1e3e5
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======================================================================
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| 540 |
RMT Diffusion Consistency reproduction -- Claim 6 (SCOPED TOY SCALE)
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Testing official Claim 5: consistency vs linear theory,
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pages/conclusion/page.md
CHANGED
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<!-- trackio-cell
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{"type": "markdown", "id": "
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-->
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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).
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<!-- trackio-cell
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{"type": "markdown", "id": "cell_908cf200c69f", "created_at": "2026-08-01T09:08:50+00:00", "title": "Conclusion", "pinned": true, "pinned_at": "2026-08-01T09:08:51+00:00"}
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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).
|
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<!-- trackio-cell
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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).
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|
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<!-- trackio-cell
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{"type": "markdown", "id": "cell_20726e6d50fb", "created_at": "2026-08-01T08:57:28+00:00", "title": "Executive summary", "pinned": true, "pinned_at": "2026-08-01T08:57:29+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).
|
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|
| 31 |
<!-- trackio-cell
|
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{"type": "figure", "id": "cell_9d5b536abbff", "created_at": "2026-08-01T08:57:30+00:00", "title": "Reproduction poster", "pinned": true, "pinned_at": "2026-08-01T08:57:31+00:00"}
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|
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<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
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|
| 5 |
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|
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|
| 21 |
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|
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"type": "Jobs",
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| 35 |
-
"label": "byte-vortex/
|
| 36 |
}
|
| 37 |
],
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| 38 |
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|
|
|
|
| 5 |
"files": [],
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| 6 |
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|
| 7 |
{
|
| 8 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a6db4fda00abefd4b28b2b5",
|
| 9 |
"type": "Jobs",
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| 10 |
+
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| 11 |
},
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| 12 |
{
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| 13 |
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| 14 |
"type": "Jobs",
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| 16 |
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| 17 |
{
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{
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| 28 |
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