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Paper Citation Record · LEDGER

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models

As of 10 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2505.20789.

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

pith.paper-citation-record.v1
2505.20789 v3

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:54:40.519274Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation edfad58b-96e7-41d9-93b8-cfbd7360beff · outbound

This paper cites (20) Based on Lemma A.1 and Assumptions 4.1 and 4.2, we present the proof of Theorem 4.4 as follows.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models (20) Based on Lemma A.1 and Assumptions 4.1 and 4.2, we present the proof of Theorem 4.4 as follows

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:54:41.369764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:54:40.416176Z digest=sha256:d51c18c7f1ec43269d803a0e820da6c2d745bd18c52d2de57573874d8c2c6ab2

Observation 8eced0c2-72f7-4d6b-a0b6-2a87557338f7 · outbound

This paper cites Progressive Growing of GANs for Improved Quality, Stability, and Variation.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models Progressive Growing of GANs for Improved Quality, Stability, and Variation

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T13:54:40.014632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:54:40.014632Z digest=sha256:6b5b223bd1e9a1ef6867d6e7a28cf615227a3a9c9c8c2adc9b5aeaff7667f794

Observation 9bfae31c-2693-4c6e-ad1b-420afe5be06f · outbound

This paper cites w/” denotes methods that utilize sparse deviations, and “w/o.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models w/” denotes methods that utilize sparse deviations, and “w/o

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:54:41.069981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:54:40.519274Z digest=sha256:77efe002cb2a0b5ea3f8437a16a502e08a34d0315c2cf629f3fe66188b451b22

Observation a90b1b00-ae2d-48ab-834e-71eb3cf724f8 · outbound

This paper cites Consistency Model is an Effective Posterior Sample Approximation for Diffusion Inverse Solvers.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models Consistency Model is an Effective Posterior Sample Approximation for Diffusion Inverse Solvers

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T13:54:40.173877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:54:40.173877Z digest=sha256:9f85056b61f9d78941bc75037f89fc0c462a82e62174c86a0a23e4fbedefb607

Observation 6073c547-3608-4e24-95a4-27512707164c · outbound

This paper cites Improving diffusion-based inverse algorithms under few-step con- straint via learnable linear extrapolation.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models Improving diffusion-based inverse algorithms under few-step con- straint via learnable linear extrapolation

Reference 8

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:54:40.828252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:54:40.299704Z digest=sha256:2757659cac05bed6e83500cca7d88e7611ea0b69d55ec9bdf0749e45f10f252d

Observation 931c81d7-7d8e-4d14-9170-0e6e51041d34 · outbound

This paper cites Proof of Theorem 4.4 First, we present the following basic concentration inequality for the Gaussian measurement matrix.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models Proof of Theorem 4.4 First, we present the following basic concentration inequality for the Gaussian measurement matrix

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:54:41.486956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:54:40.357709Z digest=sha256:46ea01d0a602a55dc722607941656e8a1f74ca79315971c87fce06bdcd4bb94f

Observation 1a5122d7-f7bf-40ae-94cc-9879d564937b · outbound

This paper cites (23) Moreover, since g1 is L1-Lipschitz continuous, if M is a (δ/L1)-net of X2 + Bn 1 (r), we have that g1(M ) is a δ-net of g1 X2 + Bn 1 (r).

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models (23) Moreover, since g1 is L1-Lipschitz continuous, if M is a (δ/L1)-net of X2 + Bn 1 (r), we have that g1(M ) is a δ-net of g1 X2 + Bn 1 (r)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:54:41.223832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T13:54:40.471189Z digest=sha256:f6d836da2c35637377c4481f965cd5b3d6e3f35bbd55ada47fef4f255e9cb74d

Observation 0a80a344-a195-4cc9-9383-ee04aa23ca60 · outbound

This paper cites Low-Memory Neural Network Training: A Technical Report.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models Low-Memory Neural Network Training: A Technical Report

Reference 2015

Resolution
unresolved
no resolver link, observed 2026-08-07T13:54:40.107433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:54:40.107433Z digest=sha256:e84964e503cd983f7e552be679b3cb6d12d4e1bfeaf6c8bd5ef0ebcdabcf93ba

Observation 046466d1-bb26-4a63-b8aa-caece6dc7d4d · outbound

This paper cites LSUN: Construction of a Large-scale Image Dataset using Deep Learning with Humans in the Loop.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models LSUN: Construction of a Large-scale Image Dataset using Deep Learning with Humans in the Loop

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-07T13:54:40.232620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:54:40.232620Z digest=sha256:431d820d72e505ee9eb8d9e97768fba6fd804dec28000788cdea91bdf57a0dd0

Observation 60a352cc-3a65-4b6d-9453-18e22a973729 · outbound

This paper cites Variational Bayesian Imaging with an Efficient Surrogate Score-based Prior.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models Variational Bayesian Imaging with an Efficient Surrogate Score-based Prior

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-07T13:54:39.941722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:54:39.941722Z digest=sha256:bb7b098f7f9867ad65645fc2f4244c2cbbc9394a98ff162fc7e1e74f4f8a7779

Observation 2586ddd5-b636-4e0c-85e8-a4ef1e097c08 · outbound

This paper cites DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Models.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Models

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-07T13:54:40.075414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:54:40.075414Z digest=sha256:eb381f388e4b17bc13825b39adb728d5e5b9cc4cfb4526878ce954a329d9cce0

Observation 83c82a94-01dd-4689-b5a7-010318908f37 · outbound

This paper cites Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions.

Integrating Intermediate Layer Optimization and Projected Gradient Descent for Solving Inverse Problems with Diffusion Models Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-07T13:54:39.875188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:54:39.875188Z digest=sha256:6d258555fd2e55ac8a390784716091aa1313212ad1158152c1e78c7ab0ae086d

Pith citing papers

No inbound Pith citation observations are available.