Pith. sign in

Paper Citation Record · LEDGER

On the Feature Learning in Diffusion Models

As of 18 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 4 inbound Pith citation observations for arXiv:2412.01021.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.01021 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:50:59.026954Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T21:50:24.513379Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-21T07:39:49.425945Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6dab1426-db7a-4abd-9fe7-bbfcbeeb492e · outbound

This paper cites 21 Published as a conference paper at ICLR 2025.

On the Feature Learning in Diffusion Models 21 Published as a conference paper at ICLR 2025

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:59.269005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.958322Z digest=sha256:f798b070b103d1696fe87ed709ff2924d109a3e1029cd49d9595fa8924b4db85

Observation 4ae47193-4f33-4aec-83a3-b85fb13e77d8 · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.257451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.962214Z digest=sha256:ce549a264ef651369d50d12f7dde78035a3d40067ca6224508ed667e46ef5efd

Observation 1274cd67-700a-48e8-846d-86d1c9fe668b · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.246352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.966650Z digest=sha256:9d4904fdd2cb62f86e61c1e8400cbbc161c690b9bb2ce63638b0f5cdc2459d1f

Observation c2ebbff6-804e-423b-a491-9223e7485d9f · outbound

This paper cites The lower bound on m = eΩ(1) is to ensure the initialization is concentrated and thus provides a lower bound on the maximum and average inner product.

On the Feature Learning in Diffusion Models The lower bound on m = eΩ(1) is to ensure the initialization is concentrated and thus provides a lower bound on the maximum and average inner product

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:59.235730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.971150Z digest=sha256:bda700d393f0672eb766b15e64dbe8ccfcb53dd4e5985fc221d60b2563b4ca02

Observation 4e920a53-d33c-48f0-ae57-d19d429d3764 · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.223654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.976518Z digest=sha256:926bb52cb77e8be5a6d014f319612bfdc73b549d1bf5972260aef37d2af8457b

Observation b8da5d7c-caa6-4f90-8fc9-632802a08fdf · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.210824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.980756Z digest=sha256:2090addfe05ea78a051d6df930ea9f6a29a9d8eb7ac45840976fd4ea32c4ac5f

Observation 76cf434e-6f98-4be5-9895-fe12189a8c93 · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.198953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.984840Z digest=sha256:0ed3de78c8f2ee696e502c8941346a11b953c9bf88ca4b3ca7ffc448fb92d759

Observation 2d6cdb5e-9cc0-4dea-b5fe-093f596d7002 · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.186088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.989422Z digest=sha256:5e06e84104526c33eaf7e84d9aa483c0fdd7ce9397b141f5f4feec3e9ea66a36

Observation c5a0128b-ac54-4550-8f01-d6db5577f4d2 · outbound

This paper cites We make the following remarks on the conditions.

On the Feature Learning in Diffusion Models We make the following remarks on the conditions

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:59.174503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.993930Z digest=sha256:34064b920aa575b2d98692c53cb1a9f0dd7e740955fb17a005490db60c1b8999

Observation 70d243a5-421d-4d88-ba57-6d9e6cd6e5df · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.155261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:58.998278Z digest=sha256:f153dc165877e9f3dad1d1a2417a148a73b3cc954e243e060b0fbc624121ca51

Observation 5e1b9c69-3802-46a1-af50-c2b78a23e028 · outbound

This paper cites This completes the induction that for all k ≤ min{Tµ, Tξ}, we have ∥wk r,t∥2 = Θ( σ2 0d), ⟨wk r,t, w0 r,t⟩ = Θ(σ2 0d), |⟨wk r,t, µj⟩| = eO(σ0∥µ∥) and |⟨wk r,t, ξi⟩| = eO(σ0σξ √ d).

On the Feature Learning in Diffusion Models This completes the induction that for all k ≤ min{Tµ, Tξ}, we have ∥wk r,t∥2 = Θ( σ2 0d), ⟨wk r,t, w0 r,t⟩ = Θ(σ2 0d), |⟨wk r,t, µj⟩| = eO(σ0∥µ∥) and |⟨wk r,t, ξi⟩| = eO(σ0σξ √ d)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:59.143015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:59.003460Z digest=sha256:6d174fce6c9ffe2190ecfd2614086f12bce9fa64199dfeae1a607737a2e94bb2

Observation 6e789514-0dfb-46a0-b865-ed8b96f7a7da · outbound

This paper cites This verifies the induction on ∥wk r,t∥2 = Θ(σ2 0d).

On the Feature Learning in Diffusion Models This verifies the induction on ∥wk r,t∥2 = Θ(σ2 0d)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:59.128878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:59.009696Z digest=sha256:a3a888db6091b5be7cda77b7754619c39bec462a796a56c7054e4d9eb15b6933

Observation 5c329a41-658e-4769-9cbb-e6a447a02cf3 · outbound

This paper cites This verifies the induction on ∥wk r,t∥2 = Θ(σ2 0d).

On the Feature Learning in Diffusion Models This verifies the induction on ∥wk r,t∥2 = Θ(σ2 0d)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:50:59.116391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:59.014007Z digest=sha256:86c7216f9d4bcb9f3c81ab804209fbb3cd8e52a10376cb77fb231962dd45b2d5

Observation ff67c990-e495-4b14-a8ec-94ff41a4cb66 · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.103615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:59.018713Z digest=sha256:81a93d7420450eb5138a7dd182af9a1735a0ad7a7eb71c963506dbe2b0128b34

Observation 4e9f4f04-1c1d-464a-bf8a-33c51a567507 · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.090752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:59.022903Z digest=sha256:c24af8bfae7d3c9d1f10de22e50290aee5ffa2414101716f87d019ec04162445

Observation 272b16a4-a267-46d0-94ce-80d18b47d34d · outbound

This paper cites an unresolved cited work.

On the Feature Learning in Diffusion Models Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:50:59.077603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T04:50:59.026954Z digest=sha256:d1f65c68d4c8abba812cd2a8b1344044a84cfe67f301d5154f758d79f8f356f7

Observation 3393d3fb-35a7-47ee-893a-bbad440257bf · outbound

This paper cites Towards Faster Non-Asymptotic Convergence for Diffusion-Based Generative Models.

On the Feature Learning in Diffusion Models Towards Faster Non-Asymptotic Convergence for Diffusion-Based Generative Models

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-12T04:50:58.952344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T04:50:58.952344Z digest=sha256:f2d3a00d74a79512d3a06bac0c29b2365652e2088eab694660d875e181fc1af7

Pith citing papers

Observation 83bea2e2-2ca9-4d10-93c4-e53e5db15b70 · inbound

Can Diffusion Models Learn Hidden Inter-Feature Rules Behind Images? cites this paper.

Can Diffusion Models Learn Hidden Inter-Feature Rules Behind Images? On the Feature Learning in Diffusion Models

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-08T21:50:24.513379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T21:50:24.513379Z digest=sha256:68729bf9e51675cc266b9af2123ac215f78730c8bbf4a7689adc9bde38ca0f0b

Observation 8a733580-33fd-48ae-aefb-8fa9b015bcae · inbound

Physics-Informed Distillation of Diffusion Models for PDE-Constrained Generation cites this paper.

Physics-Informed Distillation of Diffusion Models for PDE-Constrained Generation On the Feature Learning in Diffusion Models

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T13:12:36.894577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:12:36.894577Z digest=sha256:52a7bce4988cffdc346228c1ac18905e2c34ff4632f83b3cbb3052d152f701fd

Observation 9471355f-d0fc-4dc3-a845-876620aaefa4 · inbound

Benign Overfitting in Adversarial Training for Vision Transformers cites this paper.

Benign Overfitting in Adversarial Training for Vision Transformers On the Feature Learning in Diffusion Models

Reference 46

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T12:46:20.621346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-10T02:58:29.672338Z digest=sha256:1ba637fff9692b644547c845c9d83796d1301c059826f6914770d789e82d1362

Observation 84a2d645-a780-4633-987a-8688db40f861 · inbound

Provably Learning Diffusion Models under the Manifold Hypothesis: Collapse and Refine cites this paper.

Provably Learning Diffusion Models under the Manifold Hypothesis: Collapse and Refine On the Feature Learning in Diffusion Models

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-21T07:39:49.428181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-21T07:36:09.475575Z digest=sha256:b0d7d3aa5207ffc84dce486c56cc8173b1e3b73618dac9fd847213ffe8b07a1c