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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 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:54:40.416176Z digest=sha256:22dc2e81343d8f9477c7f8375dba15b4b80d18cd3877e24f909b0d06230bbc55

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=sha256:789fac69d5c972ae8dfd4ab666ecd4aee6069150e7c8a7dcb2c282525a40c0de

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:54:40.519274Z digest=sha256:0d82ca3aa6b5d54b70e7a65d86c9273a8bbdef1be6010a9d5c2c81d40b1b8e10

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:b78025044d0df2907f08ebfd5b58a8fce0096ade3f55599728ea3579f7408b7e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:54:40.299704Z digest=sha256:0fbd926f0c411ceb08c57a634459e32a8c61b24e394f6da68fffa9f379ca9a62

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:54:40.357709Z digest=sha256:6e351c467e0baee4d1d4270b5d2048cf00c7d52f563624e42c0ead09e68b6754

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:54:40.471189Z digest=sha256:c1f03a2d7661998979090f0ec2d0560098ac09a2a14ef8eb7ee92b85ba418f87

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=sha256:1050a14408359fc8d5b7d66b42836efdfad214df2f7eed94d1a5bfc2c7b8d0b6

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=sha256:290edba99f170c15b484df68a1f9a04b12591d9c375bcf304a1c0141f8ff386e

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=sha256:23489556eb22fc8bd232515656d29e111a9882cc265ad409dec92ba9c4beb6ba

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=sha256:1f83c971108f0525f74c8e6edfb0c003fac56706146081c89f0e0feb5c5135e8

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:f31be10cbcb39dba911349cb4d9e693a375544877efae09d6dc30da2b43ca8c5

Pith citing papers

No inbound Pith citation observations are available.