Update logbook: Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models
Browse files- logbook.json +2 -2
- pages/claim-1-linear-model-predicts-cross-split-consistency/page.md +25 -25
- pages/claim-2-self-consistency-equation-and-renormalized-noise/page.md +4 -4
- 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 +26 -26
- pages/claim-6-deep-network-validation-scoped-toy-scale-cifar10-only/page.md +20 -20
- pages/conclusion/page.md +0 -0
- pages/executive-summary/page.md +1 -1
- 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": "2026-07-31T23:
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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",
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"agent_view_tokens": 2940,
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"trace_view_tokens": 10,
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"revision": "
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"workspace_ref": {
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"repo_id": "byte-vortex/repro-diffusion-consistency-artifacts",
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"repo_type": "bucket",
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"icml2026-repro",
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"paper-iPjuUQbkfl"
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],
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"updated_at": "2026-07-31T23:36:56+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",
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"agent_view_tokens": 2940,
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"trace_view_tokens": 10,
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"revision": "7937d9045910ab14af1f",
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"workspace_ref": {
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"repo_id": "byte-vortex/repro-diffusion-consistency-artifacts",
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"repo_type": "bucket",
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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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````bash
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$ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim1.py
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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 7.
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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_726081609cd3", "created_at": "2026-07-31T23:27:28+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": 42.991}
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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 · 43.0s
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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: 6a6d2f36a00abefd4b28a5dc
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View at: https://huggingface.co/jobs/byte-vortex/6a6d2f36a00abefd4b28a5dc
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Installed 32 packages in 227ms
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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): 0.370 +/- 0.053
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Nearest-training-neighbor distance (memorization check): 2.647 +/- 0.330
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======================================================================
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SUMMARY
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PASS: cross-split outputs are 7.16x 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 16ms
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---
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<!-- trackio-cell
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+
{"type": "code", "id": "cell_1832e7c0bcf1", "created_at": "2026-07-31T23:29:27+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": 116.492}
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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 · 116.5s
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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: 6a6d2f646b79c09949c1dcb8
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+
View at: https://huggingface.co/jobs/byte-vortex/6a6d2f646b79c09949c1dcb8
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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-3-variance-factorization-anisotropy-x-inhomogeneity/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 cpu-basic --secrets HF_TOKEN rmt_diffusion_claim3.py
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````
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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 15ms
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---
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<!-- trackio-cell
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{"type": "code", "id": "cell_5a140c929baf", "created_at": "2026-07-31T23:30:13+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": 43.789}
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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 · 43.8s
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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: 6a6d2fdba00abefd4b28a5ea
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+
View at: https://huggingface.co/jobs/byte-vortex/6a6d2fdba00abefd4b28a5ea
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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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pages/claim-4-fractional-matrix-power-extension-to-sampling-trajectories/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 cpu-basic --secrets HF_TOKEN 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_a88090b3e0da", "created_at": "2026-07-31T23:30:33+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": 16.749}
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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 · 16.7s
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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: 6a6d30096b79c09949c1dcc4
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+
View at: https://huggingface.co/jobs/byte-vortex/6a6d30096b79c09949c1dcc4
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Downloading numpy (15.9MiB)
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Downloaded numpy
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Installed 1 package in 18ms
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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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$ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim5.py
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````python title=rmt_diffusion_claim5.py
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````output
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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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@@ -624,22 +624,22 @@ Using REAL MNIST data (14x14 downsampled, d=196).
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Split sizes: 400 / 400
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Training MLP denoiser on split A (400 samples)...
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step 500/1500 loss=0.
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step 1000/1500 loss=0.
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step 1500/1500 loss=0.
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Training MLP denoiser on split B (400 samples)...
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step 1000/1500 loss=0.
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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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| 637 |
-
Nearest-training-neighbor dist:
|
| 638 |
|
| 639 |
======================================================================
|
| 640 |
SUMMARY
|
| 641 |
PASS (toy scale): trained deep MLP denoisers show cross-split outputs
|
| 642 |
-
2.
|
| 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_18e14934f179", "created_at": "2026-07-31T23:31:23+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": 47.501}
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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 · 47.5s
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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.
|
| 209 |
warnings.warn(
|
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+
Job started with ID: 6a6d301c6b79c09949c1dcc9
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View at: https://huggingface.co/jobs/byte-vortex/6a6d301c6b79c09949c1dcc9
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+
Installed 32 packages in 547ms
|
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======================================================================
|
| 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=0.5920
|
| 628 |
+
step 1000/1500 loss=0.4839
|
| 629 |
+
step 1500/1500 loss=0.3545
|
| 630 |
Training MLP denoiser on split B (400 samples)...
|
| 631 |
+
step 500/1500 loss=0.5604
|
| 632 |
+
step 1000/1500 loss=0.4570
|
| 633 |
+
step 1500/1500 loss=0.3618
|
| 634 |
|
| 635 |
[Results over 30 shared-seed trials, TRAINED deep MLP denoisers]
|
| 636 |
+
Cross-split distance: 7.138 +/- 1.098
|
| 637 |
+
Nearest-training-neighbor dist: 15.913 +/- 2.353
|
| 638 |
|
| 639 |
======================================================================
|
| 640 |
SUMMARY
|
| 641 |
PASS (toy scale): trained deep MLP denoisers show cross-split outputs
|
| 642 |
+
2.23x 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
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| 3 |
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| 4 |
---
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| 5 |
<!-- trackio-cell
|
| 6 |
-
{"type": "code", "id": "
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim6.py
|
| 10 |
````
|
| 11 |
|
| 12 |
-
exit 0 ·
|
| 13 |
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| 14 |
|
| 15 |
````python title=rmt_diffusion_claim6.py
|
|
@@ -489,40 +489,40 @@ if __name__ == "__main__":
|
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| 489 |
````output
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| 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 |
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Job started with ID:
|
| 493 |
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View at: https://huggingface.co/jobs/byte-vortex/
|
| 494 |
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Installed 32 packages in
|
| 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_4cee19ede470", "created_at": "2026-07-31T23:36:47+00:00", "title": "Run: hf rmt_diffusion_claim6.py (exit 0)", "command": ["hf", "jobs", "uv", "run", "--flavor", "a10g-small", "--secrets", "HF_TOKEN", "rmt_diffusion_claim6.py"], "exit_code": 0, "duration_s": 322.07}
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-->
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| 8 |
````bash
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$ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim6.py
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|
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+
exit 0 · 322.1s
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| 15 |
````python title=rmt_diffusion_claim6.py
|
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|
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| 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(
|
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+
Job started with ID: 6a6d304ea00abefd4b28a601
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View at: https://huggingface.co/jobs/byte-vortex/6a6d304ea00abefd4b28a601
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Installed 32 packages in 579ms
|
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======================================================================
|
| 540 |
RMT Diffusion Consistency reproduction -- Claim 6 (SCOPED TOY SCALE)
|
| 541 |
Testing official Claim 5: consistency vs linear theory,
|
pages/conclusion/page.md
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CHANGED
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| 4 |
---
|
| 5 |
<!-- trackio-cell
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-
{"type": "markdown", "id": "
|
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-->
|
| 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) -- one of the conference's most highly-recognized papers this year.
|
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|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
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+
{"type": "markdown", "id": "cell_fc49b2f19fec", "created_at": "2026-07-31T23:36:49+00:00", "title": "Executive summary", "pinned": true, "pinned_at": "2026-07-31T23:36:50+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) -- one of the conference's most highly-recognized papers this year.
|
| 9 |
|
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|
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|
| 37 |
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|
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|
|
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|
| 5 |
"files": [],
|
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"hub_refs": [
|
| 7 |
{
|
| 8 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a6d2f36a00abefd4b28a5dc",
|
| 9 |
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|
| 10 |
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"label": "byte-vortex/6a6d2f36a00abefd4b28a5dc"
|
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|
| 12 |
{
|
| 13 |
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"url": "https://huggingface.co/jobs/byte-vortex/6a6d2f646b79c09949c1dcb8",
|
| 14 |
"type": "Jobs",
|
| 15 |
+
"label": "byte-vortex/6a6d2f646b79c09949c1dcb8"
|
| 16 |
},
|
| 17 |
{
|
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"url": "https://huggingface.co/jobs/byte-vortex/6a6d2fdba00abefd4b28a5ea",
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|
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"label": "byte-vortex/6a6d2fdba00abefd4b28a5ea"
|
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},
|
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{
|
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+
"url": "https://huggingface.co/jobs/byte-vortex/6a6d30096b79c09949c1dcc4",
|
| 24 |
"type": "Jobs",
|
| 25 |
+
"label": "byte-vortex/6a6d30096b79c09949c1dcc4"
|
| 26 |
},
|
| 27 |
{
|
| 28 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a6d301c6b79c09949c1dcc9",
|
| 29 |
"type": "Jobs",
|
| 30 |
+
"label": "byte-vortex/6a6d301c6b79c09949c1dcc9"
|
| 31 |
},
|
| 32 |
{
|
| 33 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a6d304ea00abefd4b28a601",
|
| 34 |
"type": "Jobs",
|
| 35 |
+
"label": "byte-vortex/6a6d304ea00abefd4b28a601"
|
| 36 |
}
|
| 37 |
],
|
| 38 |
"reference_only": true
|