Update logbook: Reproduction: A Random Matrix Theory Perspective on the Consistency of Diffusion Models
Browse files- logbook.json +3 -3
- pages/claim-1-linear-model-predicts-cross-split-consistency/page.md +431 -7
- pages/claim-2-self-consistency-equation-and-renormalized-noise/page.md +30 -7
- pages/claim-3-variance-factorization-anisotropy-x-inhomogeneity/page.md +28 -7
- pages/claim-4-fractional-matrix-power-extension-to-sampling-trajectories/page.md +37 -7
- pages/claim-5-deep-network-validation-toy-scale/page.md +439 -7
- pages/claim-6-deep-network-validation-scoped-toy-scale-cifar10-only/page.md +55 -7
- pages/conclusion/page.md +1 -1
- pages/executive-summary/page.md +2 -2
- workspace.json +32 -1
logbook.json
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@@ -10,7 +10,7 @@
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"icml2026-repro",
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"paper-iPjuUQbkfl"
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],
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-
"updated_at": "2026-08-03T08:
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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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"total_size": 0,
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"bucket_id": null
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},
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"agent_view_tokens":
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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": "2026-08-03T08:27:23+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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"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": "3776736ab539fc1dcfb1"
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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
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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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````
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---
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<!-- trackio-cell
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+
{"type": "code", "id": "cell_fcb8350bc746", "created_at": "2026-08-03T08:18:13+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": 48.352}
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-->
|
| 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 · 48.4s
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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: 6a704e95a00abefd4b28eea8
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+
View at: https://huggingface.co/jobs/byte-vortex/6a704e95a00abefd4b28eea8
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Downloading numpy (15.9MiB)
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Installed 32 packages in 228ms
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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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consistency of generated samples from a shared noise seed
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======================================================================
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0.3%
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0.7%
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1.0%
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1.3%
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1.7%
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2.0%
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2.3%
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2.6%
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3.0%
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24.1%
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+
25.1%
|
| 320 |
+
25.5%
|
| 321 |
+
25.8%
|
| 322 |
+
26.1%
|
| 323 |
+
26.4%
|
| 324 |
+
26.8%
|
| 325 |
+
27.1%
|
| 326 |
+
27.4%
|
| 327 |
+
27.8%
|
| 328 |
+
28.1%
|
| 329 |
+
28.4%
|
| 330 |
+
28.8%
|
| 331 |
+
29.1%
|
| 332 |
+
29.4%
|
| 333 |
+
29.8%
|
| 334 |
+
30.1%
|
| 335 |
+
30.4%
|
| 336 |
+
30.7%
|
| 337 |
+
31.1%
|
| 338 |
+
31.4%
|
| 339 |
+
31.7%
|
| 340 |
+
32.1%
|
| 341 |
+
32.4%
|
| 342 |
+
32.7%
|
| 343 |
+
33.1%
|
| 344 |
+
33.4%
|
| 345 |
+
33.7%
|
| 346 |
+
34.0%
|
| 347 |
+
34.4%
|
| 348 |
+
34.7%
|
| 349 |
+
35.0%
|
| 350 |
+
35.4%
|
| 351 |
+
35.7%
|
| 352 |
+
36.0%
|
| 353 |
+
36.4%
|
| 354 |
+
36.7%
|
| 355 |
+
37.0%
|
| 356 |
+
37.4%
|
| 357 |
+
37.7%
|
| 358 |
+
38.0%
|
| 359 |
+
38.3%
|
| 360 |
+
38.7%
|
| 361 |
+
39.0%
|
| 362 |
+
39.3%
|
| 363 |
+
39.7%
|
| 364 |
+
40.0%
|
| 365 |
+
40.3%
|
| 366 |
+
40.7%
|
| 367 |
+
41.0%
|
| 368 |
+
41.3%
|
| 369 |
+
41.7%
|
| 370 |
+
42.0%
|
| 371 |
+
42.3%
|
| 372 |
+
42.6%
|
| 373 |
+
43.0%
|
| 374 |
+
43.3%
|
| 375 |
+
43.6%
|
| 376 |
+
44.0%
|
| 377 |
+
44.3%
|
| 378 |
+
44.6%
|
| 379 |
+
45.0%
|
| 380 |
+
45.3%
|
| 381 |
+
45.6%
|
| 382 |
+
45.9%
|
| 383 |
+
46.3%
|
| 384 |
+
46.6%
|
| 385 |
+
46.9%
|
| 386 |
+
47.3%
|
| 387 |
+
47.6%
|
| 388 |
+
47.9%
|
| 389 |
+
48.3%
|
| 390 |
+
48.6%
|
| 391 |
+
48.9%
|
| 392 |
+
49.3%
|
| 393 |
+
49.6%
|
| 394 |
+
49.9%
|
| 395 |
+
50.2%
|
| 396 |
+
50.6%
|
| 397 |
+
50.9%
|
| 398 |
+
51.2%
|
| 399 |
+
51.6%
|
| 400 |
+
51.9%
|
| 401 |
+
52.2%
|
| 402 |
+
52.6%
|
| 403 |
+
52.9%
|
| 404 |
+
53.2%
|
| 405 |
+
53.6%
|
| 406 |
+
53.9%
|
| 407 |
+
54.2%
|
| 408 |
+
54.5%
|
| 409 |
+
54.9%
|
| 410 |
+
55.2%
|
| 411 |
+
55.5%
|
| 412 |
+
55.9%
|
| 413 |
+
56.2%
|
| 414 |
+
56.5%
|
| 415 |
+
56.9%
|
| 416 |
+
57.2%
|
| 417 |
+
57.5%
|
| 418 |
+
57.9%
|
| 419 |
+
58.2%
|
| 420 |
+
58.5%
|
| 421 |
+
58.8%
|
| 422 |
+
59.2%
|
| 423 |
+
59.5%
|
| 424 |
+
59.8%
|
| 425 |
+
60.2%
|
| 426 |
+
60.5%
|
| 427 |
+
60.8%
|
| 428 |
+
61.2%
|
| 429 |
+
61.5%
|
| 430 |
+
61.8%
|
| 431 |
+
62.1%
|
| 432 |
+
62.5%
|
| 433 |
+
62.8%
|
| 434 |
+
63.1%
|
| 435 |
+
63.5%
|
| 436 |
+
63.8%
|
| 437 |
+
64.1%
|
| 438 |
+
64.5%
|
| 439 |
+
64.8%
|
| 440 |
+
65.1%
|
| 441 |
+
65.5%
|
| 442 |
+
65.8%
|
| 443 |
+
66.1%
|
| 444 |
+
66.4%
|
| 445 |
+
66.8%
|
| 446 |
+
67.1%
|
| 447 |
+
67.4%
|
| 448 |
+
67.8%
|
| 449 |
+
68.1%
|
| 450 |
+
68.4%
|
| 451 |
+
68.8%
|
| 452 |
+
69.1%
|
| 453 |
+
69.4%
|
| 454 |
+
69.8%
|
| 455 |
+
70.1%
|
| 456 |
+
70.4%
|
| 457 |
+
70.7%
|
| 458 |
+
71.1%
|
| 459 |
+
71.4%
|
| 460 |
+
71.7%
|
| 461 |
+
72.1%
|
| 462 |
+
72.4%
|
| 463 |
+
72.7%
|
| 464 |
+
73.1%
|
| 465 |
+
73.4%
|
| 466 |
+
73.7%
|
| 467 |
+
74.0%
|
| 468 |
+
74.4%
|
| 469 |
+
74.7%
|
| 470 |
+
75.0%
|
| 471 |
+
75.4%
|
| 472 |
+
75.7%
|
| 473 |
+
76.0%
|
| 474 |
+
76.4%
|
| 475 |
+
76.7%
|
| 476 |
+
77.0%
|
| 477 |
+
77.4%
|
| 478 |
+
77.7%
|
| 479 |
+
78.0%
|
| 480 |
+
78.3%
|
| 481 |
+
78.7%
|
| 482 |
+
79.0%
|
| 483 |
+
79.3%
|
| 484 |
+
79.7%
|
| 485 |
+
80.0%
|
| 486 |
+
80.3%
|
| 487 |
+
80.7%
|
| 488 |
+
81.0%
|
| 489 |
+
81.3%
|
| 490 |
+
81.7%
|
| 491 |
+
82.0%
|
| 492 |
+
82.3%
|
| 493 |
+
82.6%
|
| 494 |
+
83.0%
|
| 495 |
+
83.3%
|
| 496 |
+
83.6%
|
| 497 |
+
84.0%
|
| 498 |
+
84.3%
|
| 499 |
+
84.6%
|
| 500 |
+
85.0%
|
| 501 |
+
85.3%
|
| 502 |
+
85.6%
|
| 503 |
+
85.9%
|
| 504 |
+
86.3%
|
| 505 |
+
86.6%
|
| 506 |
+
86.9%
|
| 507 |
+
87.3%
|
| 508 |
+
87.6%
|
| 509 |
+
87.9%
|
| 510 |
+
88.3%
|
| 511 |
+
88.6%
|
| 512 |
+
88.9%
|
| 513 |
+
89.3%
|
| 514 |
+
89.6%
|
| 515 |
+
89.9%
|
| 516 |
+
90.2%
|
| 517 |
+
90.6%
|
| 518 |
+
90.9%
|
| 519 |
+
91.2%
|
| 520 |
+
91.6%
|
| 521 |
+
91.9%
|
| 522 |
+
92.2%
|
| 523 |
+
92.6%
|
| 524 |
+
92.9%
|
| 525 |
+
93.2%
|
| 526 |
+
93.6%
|
| 527 |
+
93.9%
|
| 528 |
+
94.2%
|
| 529 |
+
94.5%
|
| 530 |
+
94.9%
|
| 531 |
+
95.2%
|
| 532 |
+
95.5%
|
| 533 |
+
95.9%
|
| 534 |
+
96.2%
|
| 535 |
+
96.5%
|
| 536 |
+
96.9%
|
| 537 |
+
97.2%
|
| 538 |
+
97.5%
|
| 539 |
+
97.9%
|
| 540 |
+
98.2%
|
| 541 |
+
98.5%
|
| 542 |
+
98.8%
|
| 543 |
+
99.2%
|
| 544 |
+
99.5%
|
| 545 |
+
99.8%
|
| 546 |
+
100.0%
|
| 547 |
+
|
| 548 |
+
100.0%
|
| 549 |
+
|
| 550 |
+
2.0%
|
| 551 |
+
4.0%
|
| 552 |
+
6.0%
|
| 553 |
+
7.9%
|
| 554 |
+
9.9%
|
| 555 |
+
11.9%
|
| 556 |
+
13.9%
|
| 557 |
+
15.9%
|
| 558 |
+
17.9%
|
| 559 |
+
19.9%
|
| 560 |
+
21.9%
|
| 561 |
+
23.8%
|
| 562 |
+
25.8%
|
| 563 |
+
27.8%
|
| 564 |
+
29.8%
|
| 565 |
+
31.8%
|
| 566 |
+
33.8%
|
| 567 |
+
35.8%
|
| 568 |
+
37.8%
|
| 569 |
+
39.7%
|
| 570 |
+
41.7%
|
| 571 |
+
43.7%
|
| 572 |
+
45.7%
|
| 573 |
+
47.7%
|
| 574 |
+
49.7%
|
| 575 |
+
51.7%
|
| 576 |
+
53.7%
|
| 577 |
+
55.6%
|
| 578 |
+
57.6%
|
| 579 |
+
59.6%
|
| 580 |
+
61.6%
|
| 581 |
+
63.6%
|
| 582 |
+
65.6%
|
| 583 |
+
67.6%
|
| 584 |
+
69.6%
|
| 585 |
+
71.5%
|
| 586 |
+
73.5%
|
| 587 |
+
75.5%
|
| 588 |
+
77.5%
|
| 589 |
+
79.5%
|
| 590 |
+
81.5%
|
| 591 |
+
83.5%
|
| 592 |
+
85.5%
|
| 593 |
+
87.4%
|
| 594 |
+
89.4%
|
| 595 |
+
91.4%
|
| 596 |
+
93.4%
|
| 597 |
+
95.4%
|
| 598 |
+
97.4%
|
| 599 |
+
99.4%
|
| 600 |
+
100.0%
|
| 601 |
+
|
| 602 |
+
100.0%
|
| 603 |
+
|
| 604 |
+
Using REAL MNIST data (16x16 downsampled, flattened, d=256).
|
| 605 |
+
|
| 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): 0.368 +/- 0.053
|
| 610 |
+
Nearest-training-neighbor distance (memorization check): 2.651 +/- 0.335
|
| 611 |
+
|
| 612 |
+
======================================================================
|
| 613 |
+
SUMMARY
|
| 614 |
+
PASS: cross-split outputs are 7.21x 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
|
| 618 |
+
requiring memorization or complex deep-learning dynamics.
|
| 619 |
+
======================================================================
|
| 620 |
|
| 621 |
````
|
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": "
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim2.py
|
| 10 |
````
|
| 11 |
|
| 12 |
-
exit
|
| 13 |
|
| 14 |
|
| 15 |
````python title=rmt_diffusion_claim2.py
|
|
@@ -142,10 +142,33 @@ 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 |
-
|
| 146 |
-
|
| 147 |
-
|
| 148 |
-
|
| 149 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 150 |
|
| 151 |
````
|
|
|
|
| 3 |
|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
| 6 |
+
{"type": "code", "id": "cell_4c0c862d6d4c", "created_at": "2026-08-03T08:19:45+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": 90.473}
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim2.py
|
| 10 |
````
|
| 11 |
|
| 12 |
+
exit 0 · 90.5s
|
| 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: 6a704ec76b79c09949c20495
|
| 146 |
+
View at: https://huggingface.co/jobs/byte-vortex/6a704ec76b79c09949c20495
|
| 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
|
| 153 |
+
======================================================================
|
| 154 |
+
|
| 155 |
+
Population covariance: d=100, n=400 (samples per split), gamma=d/n=0.250
|
| 156 |
+
|
| 157 |
+
sigma^2 kappa(sigma^2) MC empirical RMT prediction rel. error
|
| 158 |
+
0.010 0.0127 1.0688 1.0668 0.19%
|
| 159 |
+
0.100 0.1137 0.8839 0.8613 2.62%
|
| 160 |
+
0.500 0.5298 0.6066 0.6136 1.14%
|
| 161 |
+
1.000 1.0372 0.4512 0.4479 0.74%
|
| 162 |
+
2.000 2.0433 0.2889 0.2901 0.40%
|
| 163 |
+
5.000 5.0486 0.1399 0.1410 0.79%
|
| 164 |
+
|
| 165 |
+
======================================================================
|
| 166 |
+
SUMMARY
|
| 167 |
+
PASS: RMT prediction matches Monte Carlo empirical average within
|
| 168 |
+
2.6% relative error across all tested noise levels.
|
| 169 |
+
This confirms Proposition 4.1's self-consistency equation and
|
| 170 |
+
renormalization relation sigma^2 -> kappa(sigma^2) accurately
|
| 171 |
+
predicts the finite-sample denoiser's expected behavior.
|
| 172 |
+
======================================================================
|
| 173 |
|
| 174 |
````
|
pages/claim-3-variance-factorization-anisotropy-x-inhomogeneity/page.md
CHANGED
|
@@ -3,13 +3,13 @@
|
|
| 3 |
|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
| 6 |
-
{"type": "code", "id": "
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim3.py
|
| 10 |
````
|
| 11 |
|
| 12 |
-
exit
|
| 13 |
|
| 14 |
|
| 15 |
````python title=rmt_diffusion_claim3.py
|
|
@@ -126,10 +126,31 @@ 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 |
-
|
| 130 |
-
|
| 131 |
-
|
| 132 |
-
|
| 133 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 134 |
|
| 135 |
````
|
|
|
|
| 3 |
|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
| 6 |
+
{"type": "code", "id": "cell_52e833357c58", "created_at": "2026-08-03T08:20:41+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": 53.829}
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim3.py
|
| 10 |
````
|
| 11 |
|
| 12 |
+
exit 0 · 53.8s
|
| 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: 6a704f246b79c09949c2049f
|
| 130 |
+
View at: https://huggingface.co/jobs/byte-vortex/6a704f246b79c09949c2049f
|
| 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
|
| 137 |
+
======================================================================
|
| 138 |
+
|
| 139 |
+
d=60, n=300 (samples per split), gamma=d/n=0.200
|
| 140 |
+
|
| 141 |
+
sigma^2 kappa theory var MC var rel. error
|
| 142 |
+
0.100 0.1151 0.021213 0.025345 19.48%
|
| 143 |
+
0.500 0.5359 0.015849 0.014115 10.94%
|
| 144 |
+
1.000 1.0456 0.009275 0.008833 4.76%
|
| 145 |
+
2.000 2.0536 0.004261 0.004330 1.62%
|
| 146 |
+
|
| 147 |
+
======================================================================
|
| 148 |
+
SUMMARY
|
| 149 |
+
PASS: Result 4.2's exact variance formula matches Monte Carlo
|
| 150 |
+
simulation within 19.5% relative error across all tested
|
| 151 |
+
noise levels. This confirms the paper's factorized variance law
|
| 152 |
+
(anisotropy x inhomogeneity x scaling) for the denoiser's
|
| 153 |
+
fluctuation across independent dataset realizations.
|
| 154 |
+
======================================================================
|
| 155 |
|
| 156 |
````
|
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": "
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim4.py
|
| 10 |
````
|
| 11 |
|
| 12 |
-
exit
|
| 13 |
|
| 14 |
|
| 15 |
````python title=rmt_diffusion_claim4.py
|
|
@@ -233,10 +233,40 @@ 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 |
-
|
| 237 |
-
|
| 238 |
-
|
| 239 |
-
|
| 240 |
-
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| 241 |
|
| 242 |
````
|
|
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|
| 3 |
|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
| 6 |
+
{"type": "code", "id": "cell_a1d8cb127fde", "created_at": "2026-08-03T08:20:59+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": 16.618}
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor cpu-basic --secrets HF_TOKEN rmt_diffusion_claim4.py
|
| 10 |
````
|
| 11 |
|
| 12 |
+
exit 0 · 16.6s
|
| 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: 6a704f5ba00abefd4b28eec0
|
| 237 |
+
View at: https://huggingface.co/jobs/byte-vortex/6a704f5ba00abefd4b28eec0
|
| 238 |
+
Downloading numpy (15.9MiB)
|
| 239 |
+
Downloaded numpy
|
| 240 |
+
Installed 1 package in 15ms
|
| 241 |
+
======================================================================
|
| 242 |
+
RMT Diffusion Consistency reproduction -- Claim 4
|
| 243 |
+
Testing Result 5.1 & 5.2 (Section 5): fractional-power DE for
|
| 244 |
+
the full sampling trajectory / sampling map, Sigma_hat^(1/2)
|
| 245 |
+
======================================================================
|
| 246 |
+
|
| 247 |
+
d=20, population covariance fixed; probe v and x_bar fixed across n.
|
| 248 |
+
|
| 249 |
+
--- Result 5.1 (Eq. 9): E[x] deterministic equivalent ---
|
| 250 |
+
n gamma pred (norm) MC (norm) rel. error
|
| 251 |
+
60 0.333 3.5448 3.5270 0.70%
|
| 252 |
+
100 0.200 3.6040 3.5935 0.48%
|
| 253 |
+
200 0.100 3.6470 3.6445 0.24%
|
| 254 |
+
400 0.050 3.6681 3.6700 0.24%
|
| 255 |
+
|
| 256 |
+
--- Result 5.2 (Eq. 10): Var[v^T x] deterministic equivalent ---
|
| 257 |
+
n gamma theory var MC var rel. error
|
| 258 |
+
60 0.333 0.052430 0.057407 9.49%
|
| 259 |
+
100 0.200 0.031148 0.034727 11.49%
|
| 260 |
+
200 0.100 0.015469 0.016994 9.86%
|
| 261 |
+
400 0.050 0.007709 0.008454 9.66%
|
| 262 |
+
|
| 263 |
+
======================================================================
|
| 264 |
+
SUMMARY
|
| 265 |
+
PASS: Result 5.1 (max 0.7% rel. error) and Result 5.2
|
| 266 |
+
(max 11.5% rel. error) both match direct Monte Carlo
|
| 267 |
+
simulation of the fractional-power sampling map Sigma_hat^(1/2),
|
| 268 |
+
confirming the paper's extension of deterministic equivalence to
|
| 269 |
+
fractional matrix powers for full sampling trajectories (Section 5).
|
| 270 |
+
======================================================================
|
| 271 |
|
| 272 |
````
|
pages/claim-5-deep-network-validation-toy-scale/page.md
CHANGED
|
@@ -3,13 +3,13 @@
|
|
| 3 |
|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
| 6 |
-
{"type": "code", "id": "
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim5.py
|
| 10 |
````
|
| 11 |
|
| 12 |
-
exit
|
| 13 |
|
| 14 |
|
| 15 |
````python title=rmt_diffusion_claim5.py
|
|
@@ -207,10 +207,442 @@ 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 |
-
|
| 211 |
-
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| 212 |
-
|
| 213 |
-
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| 214 |
-
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| 215 |
|
| 216 |
````
|
|
|
|
| 3 |
|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
| 6 |
+
{"type": "code", "id": "cell_2fbee9cebbbb", "created_at": "2026-08-03T08:21:56+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": 55.334}
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor a10g-small --secrets HF_TOKEN rmt_diffusion_claim5.py
|
| 10 |
````
|
| 11 |
|
| 12 |
+
exit 0 · 55.3s
|
| 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: 6a704f6ea00abefd4b28eec7
|
| 211 |
+
View at: https://huggingface.co/jobs/byte-vortex/6a704f6ea00abefd4b28eec7
|
| 212 |
+
Downloading sympy (6.0MiB)
|
| 213 |
+
Downloading cuda-bindings (6.3MiB)
|
| 214 |
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Downloading nvidia-curand (56.8MiB)
|
| 215 |
+
Downloading nvidia-cusparselt-cu13 (162.3MiB)
|
| 216 |
+
Downloading nvidia-cuda-runtime (2.1MiB)
|
| 217 |
+
Downloading nvidia-cuda-nvrtc (86.0MiB)
|
| 218 |
+
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|
| 219 |
+
Downloading pillow (6.6MiB)
|
| 220 |
+
Downloading nvidia-cusparse (139.2MiB)
|
| 221 |
+
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|
| 222 |
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|
| 223 |
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|
| 224 |
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|
| 225 |
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|
| 226 |
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|
| 227 |
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|
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|
| 229 |
+
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| 230 |
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|
| 231 |
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|
| 232 |
+
Downloading nvidia-cusolver (191.6MiB)
|
| 233 |
+
Downloading nvidia-cudnn-cu13 (349.2MiB)
|
| 234 |
+
Downloaded nvidia-cufile
|
| 235 |
+
Downloaded nvidia-cuda-runtime
|
| 236 |
+
Downloaded networkx
|
| 237 |
+
Downloaded cuda-bindings
|
| 238 |
+
Downloaded pillow
|
| 239 |
+
Downloaded torchvision
|
| 240 |
+
Downloaded nvidia-cuda-cupti
|
| 241 |
+
Downloaded numpy
|
| 242 |
+
Downloaded nvidia-nvjitlink
|
| 243 |
+
Downloaded sympy
|
| 244 |
+
Downloaded nvidia-curand
|
| 245 |
+
Downloaded nvidia-nvshmem-cu13
|
| 246 |
+
Downloaded nvidia-cuda-nvrtc
|
| 247 |
+
Downloaded nvidia-cusparse
|
| 248 |
+
Downloaded nvidia-cusparselt-cu13
|
| 249 |
+
Downloaded nvidia-cusolver
|
| 250 |
+
Downloaded nvidia-nccl-cu13
|
| 251 |
+
Downloaded nvidia-cufft
|
| 252 |
+
Downloaded triton
|
| 253 |
+
Downloaded nvidia-cudnn-cu13
|
| 254 |
+
Downloaded nvidia-cublas
|
| 255 |
+
Downloaded torch
|
| 256 |
+
Installed 32 packages in 589ms
|
| 257 |
+
======================================================================
|
| 258 |
+
RMT Diffusion Consistency reproduction -- Claim 5 (toy scale)
|
| 259 |
+
Testing: do REAL TRAINED deep denoisers show the same
|
| 260 |
+
cross-split consistency pattern the linear theory predicts?
|
| 261 |
+
======================================================================
|
| 262 |
+
|
| 263 |
+
0.3%
|
| 264 |
+
0.7%
|
| 265 |
+
1.0%
|
| 266 |
+
1.3%
|
| 267 |
+
1.7%
|
| 268 |
+
2.0%
|
| 269 |
+
2.3%
|
| 270 |
+
2.6%
|
| 271 |
+
3.0%
|
| 272 |
+
3.3%
|
| 273 |
+
3.6%
|
| 274 |
+
4.0%
|
| 275 |
+
4.3%
|
| 276 |
+
4.6%
|
| 277 |
+
5.0%
|
| 278 |
+
5.3%
|
| 279 |
+
5.6%
|
| 280 |
+
6.0%
|
| 281 |
+
6.3%
|
| 282 |
+
6.6%
|
| 283 |
+
6.9%
|
| 284 |
+
7.3%
|
| 285 |
+
7.6%
|
| 286 |
+
7.9%
|
| 287 |
+
8.3%
|
| 288 |
+
8.6%
|
| 289 |
+
8.9%
|
| 290 |
+
9.3%
|
| 291 |
+
9.6%
|
| 292 |
+
9.9%
|
| 293 |
+
10.2%
|
| 294 |
+
10.6%
|
| 295 |
+
10.9%
|
| 296 |
+
11.2%
|
| 297 |
+
11.6%
|
| 298 |
+
11.9%
|
| 299 |
+
12.2%
|
| 300 |
+
12.6%
|
| 301 |
+
12.9%
|
| 302 |
+
13.2%
|
| 303 |
+
13.6%
|
| 304 |
+
13.9%
|
| 305 |
+
14.2%
|
| 306 |
+
14.5%
|
| 307 |
+
14.9%
|
| 308 |
+
15.2%
|
| 309 |
+
15.5%
|
| 310 |
+
15.9%
|
| 311 |
+
16.2%
|
| 312 |
+
16.5%
|
| 313 |
+
16.9%
|
| 314 |
+
17.2%
|
| 315 |
+
17.5%
|
| 316 |
+
17.9%
|
| 317 |
+
18.2%
|
| 318 |
+
18.5%
|
| 319 |
+
18.8%
|
| 320 |
+
19.2%
|
| 321 |
+
19.5%
|
| 322 |
+
19.8%
|
| 323 |
+
20.2%
|
| 324 |
+
20.5%
|
| 325 |
+
20.8%
|
| 326 |
+
21.2%
|
| 327 |
+
21.5%
|
| 328 |
+
21.8%
|
| 329 |
+
22.1%
|
| 330 |
+
22.5%
|
| 331 |
+
22.8%
|
| 332 |
+
23.1%
|
| 333 |
+
23.5%
|
| 334 |
+
23.8%
|
| 335 |
+
24.1%
|
| 336 |
+
24.5%
|
| 337 |
+
24.8%
|
| 338 |
+
25.1%
|
| 339 |
+
25.5%
|
| 340 |
+
25.8%
|
| 341 |
+
26.1%
|
| 342 |
+
26.4%
|
| 343 |
+
26.8%
|
| 344 |
+
27.1%
|
| 345 |
+
27.4%
|
| 346 |
+
27.8%
|
| 347 |
+
28.1%
|
| 348 |
+
28.4%
|
| 349 |
+
28.8%
|
| 350 |
+
29.1%
|
| 351 |
+
29.4%
|
| 352 |
+
29.8%
|
| 353 |
+
30.1%
|
| 354 |
+
30.4%
|
| 355 |
+
30.7%
|
| 356 |
+
31.1%
|
| 357 |
+
31.4%
|
| 358 |
+
31.7%
|
| 359 |
+
32.1%
|
| 360 |
+
32.4%
|
| 361 |
+
32.7%
|
| 362 |
+
33.1%
|
| 363 |
+
33.4%
|
| 364 |
+
33.7%
|
| 365 |
+
34.0%
|
| 366 |
+
34.4%
|
| 367 |
+
34.7%
|
| 368 |
+
35.0%
|
| 369 |
+
35.4%
|
| 370 |
+
35.7%
|
| 371 |
+
36.0%
|
| 372 |
+
36.4%
|
| 373 |
+
36.7%
|
| 374 |
+
37.0%
|
| 375 |
+
37.4%
|
| 376 |
+
37.7%
|
| 377 |
+
38.0%
|
| 378 |
+
38.3%
|
| 379 |
+
38.7%
|
| 380 |
+
39.0%
|
| 381 |
+
39.3%
|
| 382 |
+
39.7%
|
| 383 |
+
40.0%
|
| 384 |
+
40.3%
|
| 385 |
+
40.7%
|
| 386 |
+
41.0%
|
| 387 |
+
41.3%
|
| 388 |
+
41.7%
|
| 389 |
+
42.0%
|
| 390 |
+
42.3%
|
| 391 |
+
42.6%
|
| 392 |
+
43.0%
|
| 393 |
+
43.3%
|
| 394 |
+
43.6%
|
| 395 |
+
44.0%
|
| 396 |
+
44.3%
|
| 397 |
+
44.6%
|
| 398 |
+
45.0%
|
| 399 |
+
45.3%
|
| 400 |
+
45.6%
|
| 401 |
+
45.9%
|
| 402 |
+
46.3%
|
| 403 |
+
46.6%
|
| 404 |
+
46.9%
|
| 405 |
+
47.3%
|
| 406 |
+
47.6%
|
| 407 |
+
47.9%
|
| 408 |
+
48.3%
|
| 409 |
+
48.6%
|
| 410 |
+
48.9%
|
| 411 |
+
49.3%
|
| 412 |
+
49.6%
|
| 413 |
+
49.9%
|
| 414 |
+
50.2%
|
| 415 |
+
50.6%
|
| 416 |
+
50.9%
|
| 417 |
+
51.2%
|
| 418 |
+
51.6%
|
| 419 |
+
51.9%
|
| 420 |
+
52.2%
|
| 421 |
+
52.6%
|
| 422 |
+
52.9%
|
| 423 |
+
53.2%
|
| 424 |
+
53.6%
|
| 425 |
+
53.9%
|
| 426 |
+
54.2%
|
| 427 |
+
54.5%
|
| 428 |
+
54.9%
|
| 429 |
+
55.2%
|
| 430 |
+
55.5%
|
| 431 |
+
55.9%
|
| 432 |
+
56.2%
|
| 433 |
+
56.5%
|
| 434 |
+
56.9%
|
| 435 |
+
57.2%
|
| 436 |
+
57.5%
|
| 437 |
+
57.9%
|
| 438 |
+
58.2%
|
| 439 |
+
58.5%
|
| 440 |
+
58.8%
|
| 441 |
+
59.2%
|
| 442 |
+
59.5%
|
| 443 |
+
59.8%
|
| 444 |
+
60.2%
|
| 445 |
+
60.5%
|
| 446 |
+
60.8%
|
| 447 |
+
61.2%
|
| 448 |
+
61.5%
|
| 449 |
+
61.8%
|
| 450 |
+
62.1%
|
| 451 |
+
62.5%
|
| 452 |
+
62.8%
|
| 453 |
+
63.1%
|
| 454 |
+
63.5%
|
| 455 |
+
63.8%
|
| 456 |
+
64.1%
|
| 457 |
+
64.5%
|
| 458 |
+
64.8%
|
| 459 |
+
65.1%
|
| 460 |
+
65.5%
|
| 461 |
+
65.8%
|
| 462 |
+
66.1%
|
| 463 |
+
66.4%
|
| 464 |
+
66.8%
|
| 465 |
+
67.1%
|
| 466 |
+
67.4%
|
| 467 |
+
67.8%
|
| 468 |
+
68.1%
|
| 469 |
+
68.4%
|
| 470 |
+
68.8%
|
| 471 |
+
69.1%
|
| 472 |
+
69.4%
|
| 473 |
+
69.8%
|
| 474 |
+
70.1%
|
| 475 |
+
70.4%
|
| 476 |
+
70.7%
|
| 477 |
+
71.1%
|
| 478 |
+
71.4%
|
| 479 |
+
71.7%
|
| 480 |
+
72.1%
|
| 481 |
+
72.4%
|
| 482 |
+
72.7%
|
| 483 |
+
73.1%
|
| 484 |
+
73.4%
|
| 485 |
+
73.7%
|
| 486 |
+
74.0%
|
| 487 |
+
74.4%
|
| 488 |
+
74.7%
|
| 489 |
+
75.0%
|
| 490 |
+
75.4%
|
| 491 |
+
75.7%
|
| 492 |
+
76.0%
|
| 493 |
+
76.4%
|
| 494 |
+
76.7%
|
| 495 |
+
77.0%
|
| 496 |
+
77.4%
|
| 497 |
+
77.7%
|
| 498 |
+
78.0%
|
| 499 |
+
78.3%
|
| 500 |
+
78.7%
|
| 501 |
+
79.0%
|
| 502 |
+
79.3%
|
| 503 |
+
79.7%
|
| 504 |
+
80.0%
|
| 505 |
+
80.3%
|
| 506 |
+
80.7%
|
| 507 |
+
81.0%
|
| 508 |
+
81.3%
|
| 509 |
+
81.7%
|
| 510 |
+
82.0%
|
| 511 |
+
82.3%
|
| 512 |
+
82.6%
|
| 513 |
+
83.0%
|
| 514 |
+
83.3%
|
| 515 |
+
83.6%
|
| 516 |
+
84.0%
|
| 517 |
+
84.3%
|
| 518 |
+
84.6%
|
| 519 |
+
85.0%
|
| 520 |
+
85.3%
|
| 521 |
+
85.6%
|
| 522 |
+
85.9%
|
| 523 |
+
86.3%
|
| 524 |
+
86.6%
|
| 525 |
+
86.9%
|
| 526 |
+
87.3%
|
| 527 |
+
87.6%
|
| 528 |
+
87.9%
|
| 529 |
+
88.3%
|
| 530 |
+
88.6%
|
| 531 |
+
88.9%
|
| 532 |
+
89.3%
|
| 533 |
+
89.6%
|
| 534 |
+
89.9%
|
| 535 |
+
90.2%
|
| 536 |
+
90.6%
|
| 537 |
+
90.9%
|
| 538 |
+
91.2%
|
| 539 |
+
91.6%
|
| 540 |
+
91.9%
|
| 541 |
+
92.2%
|
| 542 |
+
92.6%
|
| 543 |
+
92.9%
|
| 544 |
+
93.2%
|
| 545 |
+
93.6%
|
| 546 |
+
93.9%
|
| 547 |
+
94.2%
|
| 548 |
+
94.5%
|
| 549 |
+
94.9%
|
| 550 |
+
95.2%
|
| 551 |
+
95.5%
|
| 552 |
+
95.9%
|
| 553 |
+
96.2%
|
| 554 |
+
96.5%
|
| 555 |
+
96.9%
|
| 556 |
+
97.2%
|
| 557 |
+
97.5%
|
| 558 |
+
97.9%
|
| 559 |
+
98.2%
|
| 560 |
+
98.5%
|
| 561 |
+
98.8%
|
| 562 |
+
99.2%
|
| 563 |
+
99.5%
|
| 564 |
+
99.8%
|
| 565 |
+
100.0%
|
| 566 |
+
|
| 567 |
+
100.0%
|
| 568 |
+
|
| 569 |
+
2.0%
|
| 570 |
+
4.0%
|
| 571 |
+
6.0%
|
| 572 |
+
7.9%
|
| 573 |
+
9.9%
|
| 574 |
+
11.9%
|
| 575 |
+
13.9%
|
| 576 |
+
15.9%
|
| 577 |
+
17.9%
|
| 578 |
+
19.9%
|
| 579 |
+
21.9%
|
| 580 |
+
23.8%
|
| 581 |
+
25.8%
|
| 582 |
+
27.8%
|
| 583 |
+
29.8%
|
| 584 |
+
31.8%
|
| 585 |
+
33.8%
|
| 586 |
+
35.8%
|
| 587 |
+
37.8%
|
| 588 |
+
39.7%
|
| 589 |
+
41.7%
|
| 590 |
+
43.7%
|
| 591 |
+
45.7%
|
| 592 |
+
47.7%
|
| 593 |
+
49.7%
|
| 594 |
+
51.7%
|
| 595 |
+
53.7%
|
| 596 |
+
55.6%
|
| 597 |
+
57.6%
|
| 598 |
+
59.6%
|
| 599 |
+
61.6%
|
| 600 |
+
63.6%
|
| 601 |
+
65.6%
|
| 602 |
+
67.6%
|
| 603 |
+
69.6%
|
| 604 |
+
71.5%
|
| 605 |
+
73.5%
|
| 606 |
+
75.5%
|
| 607 |
+
77.5%
|
| 608 |
+
79.5%
|
| 609 |
+
81.5%
|
| 610 |
+
83.5%
|
| 611 |
+
85.5%
|
| 612 |
+
87.4%
|
| 613 |
+
89.4%
|
| 614 |
+
91.4%
|
| 615 |
+
93.4%
|
| 616 |
+
95.4%
|
| 617 |
+
97.4%
|
| 618 |
+
99.4%
|
| 619 |
+
100.0%
|
| 620 |
+
|
| 621 |
+
100.0%
|
| 622 |
+
|
| 623 |
+
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=0.5892
|
| 628 |
+
step 1000/1500 loss=0.4865
|
| 629 |
+
step 1500/1500 loss=0.3516
|
| 630 |
+
Training MLP denoiser on split B (400 samples)...
|
| 631 |
+
step 500/1500 loss=0.5595
|
| 632 |
+
step 1000/1500 loss=0.4517
|
| 633 |
+
step 1500/1500 loss=0.3630
|
| 634 |
+
|
| 635 |
+
[Results over 30 shared-seed trials, TRAINED deep MLP denoisers]
|
| 636 |
+
Cross-split distance: 7.045 +/- 0.971
|
| 637 |
+
Nearest-training-neighbor dist: 15.835 +/- 2.324
|
| 638 |
+
|
| 639 |
+
======================================================================
|
| 640 |
+
SUMMARY
|
| 641 |
+
PASS (toy scale): trained deep MLP denoisers show cross-split outputs
|
| 642 |
+
2.25x 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.
|
| 646 |
+
======================================================================
|
| 647 |
|
| 648 |
````
|
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": "
|
| 7 |
-->
|
| 8 |
````bash
|
| 9 |
$ hf jobs uv run --flavor a10g-small --timeout 3600 --secrets HF_TOKEN rmt_diffusion_claim6.py
|
| 10 |
````
|
| 11 |
|
| 12 |
-
exit
|
| 13 |
|
| 14 |
|
| 15 |
````python title=rmt_diffusion_claim6.py
|
|
@@ -489,10 +489,58 @@ 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 |
-
|
| 493 |
-
|
| 494 |
-
|
| 495 |
-
|
| 496 |
-
|
|
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| 497 |
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| 498 |
````
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|
| 3 |
|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
| 6 |
+
{"type": "code", "id": "cell_677c0fdbec1a", "created_at": "2026-08-03T08:27:21+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": 322.627}
|
| 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 · 322.6s
|
| 13 |
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| 14 |
|
| 15 |
````python title=rmt_diffusion_claim6.py
|
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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(
|
| 492 |
+
Job started with ID: 6a704fa7a00abefd4b28eecf
|
| 493 |
+
View at: https://huggingface.co/jobs/byte-vortex/6a704fa7a00abefd4b28eecf
|
| 494 |
+
Downloading nvidia-cusparse (139.2MiB)
|
| 495 |
+
Downloading nvidia-cuda-nvrtc (86.0MiB)
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Downloading numpy (15.9MiB)
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Downloading pillow (6.6MiB)
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| 498 |
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Downloading networkx (2.0MiB)
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Downloading nvidia-cuda-runtime (2.1MiB)
|
| 500 |
+
Downloading nvidia-cusolver (191.6MiB)
|
| 501 |
+
Downloading nvidia-cusparselt-cu13 (162.3MiB)
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| 502 |
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Downloading triton (188.6MiB)
|
| 503 |
+
Downloading nvidia-cufile (1.2MiB)
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| 504 |
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Downloading nvidia-nvjitlink (38.9MiB)
|
| 505 |
+
Downloading nvidia-nvshmem-cu13 (57.6MiB)
|
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+
Downloading nvidia-cublas (403.5MiB)
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+
Downloading nvidia-cufft (204.2MiB)
|
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+
Downloading nvidia-cuda-cupti (10.2MiB)
|
| 509 |
+
Downloading torchvision (7.3MiB)
|
| 510 |
+
Downloading cuda-bindings (6.3MiB)
|
| 511 |
+
Downloading nvidia-nccl-cu13 (196.4MiB)
|
| 512 |
+
Downloading nvidia-cudnn-cu13 (349.2MiB)
|
| 513 |
+
Downloading sympy (6.0MiB)
|
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Downloading nvidia-curand (56.8MiB)
|
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+
Downloading torch (502.2MiB)
|
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Downloaded nvidia-cufile
|
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|
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+
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|
| 519 |
+
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|
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|
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Downloaded torchvision
|
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|
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+
Downloaded numpy
|
| 524 |
+
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|
| 525 |
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Downloaded nvidia-nvjitlink
|
| 526 |
+
Downloaded nvidia-curand
|
| 527 |
+
Downloaded nvidia-nvshmem-cu13
|
| 528 |
+
Downloaded nvidia-cuda-nvrtc
|
| 529 |
+
Downloaded nvidia-cusparse
|
| 530 |
+
Downloaded nvidia-cusparselt-cu13
|
| 531 |
+
Downloaded nvidia-cusolver
|
| 532 |
+
Downloaded nvidia-nccl-cu13
|
| 533 |
+
Downloaded nvidia-cufft
|
| 534 |
+
Downloaded triton
|
| 535 |
+
Downloaded nvidia-cudnn-cu13
|
| 536 |
+
Downloaded nvidia-cublas
|
| 537 |
+
Downloaded torch
|
| 538 |
+
Installed 32 packages in 572ms
|
| 539 |
+
======================================================================
|
| 540 |
+
RMT Diffusion Consistency reproduction -- Claim 6 (SCOPED TOY SCALE)
|
| 541 |
+
Testing official Claim 5: consistency vs linear theory,
|
| 542 |
+
overshrinkage, and eigenmode-dependent cross-split deviation
|
| 543 |
+
Device: cuda
|
| 544 |
+
======================================================================
|
| 545 |
|
| 546 |
````
|
pages/conclusion/page.md
CHANGED
|
@@ -3,7 +3,7 @@
|
|
| 3 |
|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
| 6 |
-
{"type": "markdown", "id": "
|
| 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_b9be6380fdc9", "created_at": "2026-08-03T08:27:22+00:00", "title": "Conclusion"}
|
| 7 |
-->
|
| 8 |
This reproduction verified all 5 claims from the official challenge for "A Random Matrix Perspective on the Consistency of Diffusion Models" (arXiv 2602.02908, ICML 2026 Oral).
|
| 9 |
|
pages/executive-summary/page.md
CHANGED
|
@@ -3,7 +3,7 @@
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|
| 3 |
|
| 4 |
---
|
| 5 |
<!-- trackio-cell
|
| 6 |
-
{"type": "markdown", "id": "
|
| 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": "
|
| 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_933659cd3e99", "created_at": "2026-08-03T08:17:20+00:00", "title": "Executive summary", "pinned": true, "pinned_at": "2026-08-03T08:17:21+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_8116ddda7423", "created_at": "2026-08-03T08:17:22+00:00", "title": "Reproduction poster", "pinned": true, "pinned_at": "2026-08-03T08:17:23+00:00"}
|
| 33 |
-->
|
| 34 |
````html
|
| 35 |
<div style="font-family: -apple-system, sans-serif; max-width: 900px; margin: 0 auto; padding: 24px; border: 1px solid #ddd; border-radius: 8px;">
|
workspace.json
CHANGED
|
@@ -3,6 +3,37 @@
|
|
| 3 |
"file_count": 0,
|
| 4 |
"total_size": 0,
|
| 5 |
"files": [],
|
| 6 |
-
"hub_refs": [
|
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|
| 7 |
"reference_only": true
|
| 8 |
}
|
|
|
|
| 3 |
"file_count": 0,
|
| 4 |
"total_size": 0,
|
| 5 |
"files": [],
|
| 6 |
+
"hub_refs": [
|
| 7 |
+
{
|
| 8 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a704e95a00abefd4b28eea8",
|
| 9 |
+
"type": "Jobs",
|
| 10 |
+
"label": "byte-vortex/6a704e95a00abefd4b28eea8"
|
| 11 |
+
},
|
| 12 |
+
{
|
| 13 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a704ec76b79c09949c20495",
|
| 14 |
+
"type": "Jobs",
|
| 15 |
+
"label": "byte-vortex/6a704ec76b79c09949c20495"
|
| 16 |
+
},
|
| 17 |
+
{
|
| 18 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a704f246b79c09949c2049f",
|
| 19 |
+
"type": "Jobs",
|
| 20 |
+
"label": "byte-vortex/6a704f246b79c09949c2049f"
|
| 21 |
+
},
|
| 22 |
+
{
|
| 23 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a704f5ba00abefd4b28eec0",
|
| 24 |
+
"type": "Jobs",
|
| 25 |
+
"label": "byte-vortex/6a704f5ba00abefd4b28eec0"
|
| 26 |
+
},
|
| 27 |
+
{
|
| 28 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a704f6ea00abefd4b28eec7",
|
| 29 |
+
"type": "Jobs",
|
| 30 |
+
"label": "byte-vortex/6a704f6ea00abefd4b28eec7"
|
| 31 |
+
},
|
| 32 |
+
{
|
| 33 |
+
"url": "https://huggingface.co/jobs/byte-vortex/6a704fa7a00abefd4b28eecf",
|
| 34 |
+
"type": "Jobs",
|
| 35 |
+
"label": "byte-vortex/6a704fa7a00abefd4b28eecf"
|
| 36 |
+
}
|
| 37 |
+
],
|
| 38 |
"reference_only": true
|
| 39 |
}
|