Paper Citation Record · LEDGER

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis

As of 9 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 3 inbound Pith citation observations for arXiv:2502.09578.

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

pith.paper-citation-record.v1
2502.09578 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T21:05:57.528026Z

measured 42 of 42 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T12:52:59.883580Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T09:11:27.339531Z

Reference resolution

39 of 39 outbound references displayed

verified exact0
verified fuzzy27
unresolved12
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ea601abd-4003-45ff-a2e1-728d1aead9bc · outbound

This paper cites Losing dimensions: Geometric memorization in generative diffusion.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Losing dimensions: Geometric memorization in generative diffusion

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T21:05:57.396237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 461d50d9-bc77-4db2-8436-0ebabb7939a9 · outbound

This paper cites In search of dispersed memories: Generative diffusion models are associative memory networks.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis In search of dispersed memories: Generative diffusion models are associative memory networks

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:58.031802Z

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Observation 223b2523-4956-4a10-a56a-f4630219b3d4 · outbound

This paper cites The statistical thermodynamics of generative diffusion models: Phase transitions, symmetry breaking, and critical instability.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis The statistical thermodynamics of generative diffusion models: Phase transitions, symmetry breaking, and critical instability

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:58.022940Z

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Observation 378cb084-2a5a-475d-b92f-3d26165de640 · outbound

This paper cites Representation learning: A review and new perspectives.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Representation learning: A review and new perspectives

Reference 4

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Observation c3627173-61d3-4051-bc7e-7389977f1825 · outbound

This paper cites Kernel Density Estimators in Large Dimensions.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Kernel Density Estimators in Large Dimensions

Reference 5

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Observation c05e138b-dddb-44c7-a6fa-bf38d10db422 · outbound

This paper cites Generative diffusion in very large dimensions.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Generative diffusion in very large dimensions

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:58.008420Z

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

Observation b752185e-7170-4539-8cbf-f42669c64842 · outbound

This paper cites Dynamical regimes of diffusion models.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Dynamical regimes of diffusion models

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.999463Z

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Observation 46f1cbe9-14aa-403c-8e7d-d1ed9a74922f · outbound

This paper cites Shallow diffusion networks provably learn hidden low-dimensional structure.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Shallow diffusion networks provably learn hidden low-dimensional structure

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.989867Z

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Observation bc0b4939-9b47-4835-8831-e8d2d442e41e · outbound

This paper cites Score approximation, estimation and distribu- tion recovery of diffusion models on low-dimensional data.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Score approximation, estimation and distribu- tion recovery of diffusion models on low-dimensional data

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.979482Z

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Observation 3f47c4b6-d5e6-40cf-b899-07569a1de8b4 · outbound

This paper cites WaveGrad: Estimating Gradients for Waveform Generation.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis WaveGrad: Estimating Gradients for Waveform Generation

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T21:05:57.430943Z

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Observation b3490c95-1912-467c-9222-baf7459fa257 · outbound

This paper cites Approximation by superpositions of a sigmoidal function.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Approximation by superpositions of a sigmoidal function

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.969708Z

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Observation 794bb148-9da6-4ed9-960b-79f5beb125eb · outbound

This paper cites On a model of associative memory with huge storage capacity.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis On a model of associative memory with huge storage capacity

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.959829Z

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Observation 6df40862-2721-4d4e-972e-4a2818c918b5 · outbound

This paper cites Random-energy model: An exactly solvable model of disordered systems.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Random-energy model: An exactly solvable model of disordered systems

Reference 13

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Observation 6d0ec142-abe1-4f2a-b916-d77eeca68b9c · outbound

This paper cites Analysis of diffusion models for manifold data.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Analysis of diffusion models for manifold data

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T21:05:57.445664Z

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Observation 62d77717-0189-43d8-84d4-d3fabdac8632 · outbound

This paper cites Generalisation error in learning with random features and the hidden manifold model.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Generalisation error in learning with random features and the hidden manifold model

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.950145Z

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

Observation dd655a25-80a6-4643-b028-cba2abe9d8a4 · outbound

This paper cites Modeling the influence of data structure on learning in neural networks: The hidden manifold model.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Modeling the influence of data structure on learning in neural networks: The hidden manifold model

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.940512Z

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Observation b8c7a321-08f0-4f22-896f-99caf62c724b · outbound

This paper cites The gaussian equivalence of generative models for learning with shallow neural networks.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis The gaussian equivalence of generative models for learning with shallow neural networks

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T21:05:57.456565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a54dcd90-3f53-4b2f-9fb4-1d92dd79c54d · outbound

This paper cites Denoising diffusion probabilistic models.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Denoising diffusion probabilistic models

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.925795Z

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.

Observation 8c2a3176-e31c-41a9-8f94-25aa8ba737ff · outbound

This paper cites Video Diffusion Models.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Video Diffusion Models

Reference 19

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Observation 37f441a0-cd9c-4232-b1ab-861dfd41b57f · outbound

This paper cites Memory in Plain Sight: Surveying the Uncanny Resemblances of Associative Memories and Diffusion Models.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Memory in Plain Sight: Surveying the Uncanny Resemblances of Associative Memories and Diffusion Models

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T21:05:57.467339Z

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Observation 85825b90-7d37-4677-bd2c-9b9654a3177f · outbound

This paper cites A new frontier for hopfield networks.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis A new frontier for hopfield networks

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.916760Z

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

Observation 5c456f13-12b7-40f1-a7be-bf936230b79f · outbound

This paper cites Dense associative memory for pattern recognition.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Dense associative memory for pattern recognition

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.907519Z

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.

Observation 6a60e64a-564e-4a3d-aa11-074c0701bf7e · outbound

This paper cites Cresswell, and Gabriel Loaiza-Ganem.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Cresswell, and Gabriel Loaiza-Ganem

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.898802Z

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

Observation 7c5b7d07-9ab8-4ec1-b3a2-da6eedf01267 · outbound

This paper cites On the generalization properties of diffusion models.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis On the generalization properties of diffusion models

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.889095Z

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

Observation d709a837-e547-421d-9e1a-2c8f05cf125f · outbound

This paper cites The Exponential Capacity of Dense Associative Memories.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis The Exponential Capacity of Dense Associative Memories

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.880760Z

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

Observation 236109a4-612a-4304-b78e-bf32de13edaa · outbound

This paper cites Sampling, Diffusions, and Stochastic Localization.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Sampling, Diffusions, and Stochastic Localization

Reference 26

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Observation 04d5636a-0039-4e25-9ea6-3d57da85d281 · outbound

This paper cites Posterior Sampling in High Dimension via Diffusion Processes.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Posterior Sampling in High Dimension via Diffusion Processes

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T21:05:57.492663Z

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Observation 6dfa090f-d0b8-4d33-8ca7-802ee08fbe64 · outbound

This paper cites Exact results and critical properties of the ising model with competing interactions.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Exact results and critical properties of the ising model with competing interactions

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.872207Z

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

Observation 1d873a5c-a18d-44d2-8c8e-d19ae8b3aeb4 · outbound

This paper cites Score-Based Generative Models Detect Manifolds.Conference on Neural Information Processing Systems, 2022.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Score-Based Generative Models Detect Manifolds.Conference on Neural Information Processing Systems, 2022

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.863013Z

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

Observation 71ae55c9-f431-4ad7-8e72-2ba06a8b2d35 · outbound

This paper cites Hopfield networks is all you need.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Hopfield networks is all you need

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.853215Z

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

Observation b1a4b4a2-6b77-41a0-9f99-6bf278bdbb34 · outbound

This paper cites Spontaneous symmetry breaking in generative diffusion models.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Spontaneous symmetry breaking in generative diffusion models

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.843083Z

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

Observation 8caa8459-4e9a-46d7-89d2-5d6254950de7 · outbound

This paper cites A phase transition in diffusion models reveals the hierarchical nature of data.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis A phase transition in diffusion models reveals the hierarchical nature of data

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.832113Z

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

Observation 6ab28623-d4c0-4e06-8f9d-f15de19fac67 · outbound

This paper cites Weiss, Niru Maheswaranathan, and Surya Ganguli.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Weiss, Niru Maheswaranathan, and Surya Ganguli

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.821785Z

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Observation e1cd4fc5-2702-48c8-8d46-9bc1259d1ff3 · outbound

This paper cites Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.811808Z

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Observation a3c7416d-61b8-40e0-bfed-dcb11366431e · outbound

This paper cites Diffusion models encode the intrinsic dimension of data manifolds.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Diffusion models encode the intrinsic dimension of data manifolds

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.801942Z

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Observation 3f814e67-a054-49b2-93b3-7f55e014d58b · outbound

This paper cites Manifolds, random matrices and spectral gaps: The geometric phases of generative diffusion.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Manifolds, random matrices and spectral gaps: The geometric phases of generative diffusion

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T21:05:57.519156Z

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Observation 5e38bd25-4b01-44a0-9520-4b32942d5d58 · outbound

This paper cites Generalization error of gan from the discriminator’s perspective.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Generalization error of gan from the discriminator’s perspective

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.786169Z

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

Observation ff9c9d2f-6b5d-41ce-a099-d0c1f4e3a802 · outbound

This paper cites Generalization and memorization: The bias potential model.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Generalization and memorization: The bias potential model

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.776038Z

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

Observation 771a5e59-6594-45ce-9f6a-26305d776658 · outbound

This paper cites Error bounds for approximations with deep relu networks.

Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis Error bounds for approximations with deep relu networks

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:05:57.765242Z

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

Pith citing papers

Observation ae3aa185-7cfc-401c-92ab-a0c2f31b432a · inbound

Classifier-Free Guidance: From High-Dimensional Analysis to Generalized Guidance Forms cites this paper.

Classifier-Free Guidance: From High-Dimensional Analysis to Generalized Guidance Forms Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-08T12:52:59.883580Z

Source-reported events for the cited work

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Observation 85170d80-ff68-429e-99e4-40928e285d0d · inbound

Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Models cites this paper.

Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Models Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-07T14:57:50.773883Z

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Unavailable: canonical work link unavailable.

Observation c33c9099-a0dc-4492-813a-ead3fd18e997 · inbound

Language Diffusion Models are Associative Memories Capable of Retrieving Unseen Data cites this paper.

Language Diffusion Models are Associative Memories Capable of Retrieving Unseen Data Memorization and Generalization in Generative Diffusion under the Manifold Hypothesis

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-12T09:11:27.342096Z

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.