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Paper Citation Record · LEDGER

Generalization through variance: how noise shapes inductive biases in diffusion models

As of 18 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 3 inbound Pith citation observations for arXiv:2504.12532.

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

pith.paper-citation-record.v1
2504.12532 v1

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:36:32.203918Z

measured 64 of 64 standing notices

One-hop event checks from named stored sources.

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measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T07:46:49.059192Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T00:04:22.434986Z

Reference resolution

61 of 61 outbound references displayed

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External citation measurements

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Outbound references

Observation c8274703-abee-4bfa-bbc8-686694e7b9a2 · outbound

This paper cites write newline.

Generalization through variance: how noise shapes inductive biases in diffusion models write newline

Reference 1

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Observation aa88733b-b90f-4166-8a26-b7caaf56e0e7 · outbound

This paper cites On exact computation with an infinitely wide neural net.

Generalization through variance: how noise shapes inductive biases in diffusion models On exact computation with an infinitely wide neural net

Reference 2

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This paper cites On the inductive bias of neural tangent kernels.

Generalization through variance: how noise shapes inductive biases in diffusion models On the inductive bias of neural tangent kernels

Reference 3

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This paper cites Align your latents: High-resolution video synthesis with latent diffusion models.

Generalization through variance: how noise shapes inductive biases in diffusion models Align your latents: High-resolution video synthesis with latent diffusion models

Reference 4

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This paper cites Self-consistent dynamical field theory of kernel evolution in wide neural networks.

Generalization through variance: how noise shapes inductive biases in diffusion models Self-consistent dynamical field theory of kernel evolution in wide neural networks

Reference 5

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This paper cites Self-consistent dynamical field theory of kernel evolution in wide neural networks*.

Generalization through variance: how noise shapes inductive biases in diffusion models Self-consistent dynamical field theory of kernel evolution in wide neural networks*

Reference 6

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This paper cites Spectrum dependent learning curves in kernel regression and wide neural networks.

Generalization through variance: how noise shapes inductive biases in diffusion models Spectrum dependent learning curves in kernel regression and wide neural networks

Reference 7

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This paper cites Convergence of denoising diffusion models under the manifold hypothesis.

Generalization through variance: how noise shapes inductive biases in diffusion models Convergence of denoising diffusion models under the manifold hypothesis

Reference 8

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This paper cites Diffusion schr\"odinger bridge with applications to score-based generative modeling.

Generalization through variance: how noise shapes inductive biases in diffusion models Diffusion schr\"odinger bridge with applications to score-based generative modeling

Reference 9

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This paper cites Spectral bias and task-model alignment explain generalization in kernel regression and infinitely wide neural networks.

Generalization through variance: how noise shapes inductive biases in diffusion models Spectral bias and task-model alignment explain generalization in kernel regression and infinitely wide neural networks

Reference 10

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This paper cites Extracting training data from diffusion models.

Generalization through variance: how noise shapes inductive biases in diffusion models Extracting training data from diffusion models

Reference 11

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This paper cites Denoising likelihood score matching for conditional score-based data generation.

Generalization through variance: how noise shapes inductive biases in diffusion models Denoising likelihood score matching for conditional score-based data generation

Reference 12

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

Generalization through variance: how noise shapes inductive biases in diffusion models Score approximation, estimation and distribution recovery of diffusion models on low-dimensional data

Reference 13

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Generalization through variance: how noise shapes inductive biases in diffusion models Unresolved cited work

Reference 14

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Generalization through variance: how noise shapes inductive biases in diffusion models The probability flow ode is provably fast

Reference 15

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Generalization through variance: how noise shapes inductive biases in diffusion models Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions

Reference 16

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Generalization through variance: how noise shapes inductive biases in diffusion models On lazy training in differentiable programming

Reference 17

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Generalization through variance: how noise shapes inductive biases in diffusion models Group equivariant convolutional networks

Reference 18

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Generalization through variance: how noise shapes inductive biases in diffusion models Crisanti and H

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Generalization through variance: how noise shapes inductive biases in diffusion models Schoenberg, and Sandy Engelhardt

Reference 20

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Generalization through variance: how noise shapes inductive biases in diffusion models GENIE : Higher-order denoising diffusion solvers

Reference 21

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Generalization through variance: how noise shapes inductive biases in diffusion models Score-based generative modeling with critically-damped langevin diffusion

Reference 22

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Generalization through variance: how noise shapes inductive biases in diffusion models Disentangling feature and lazy training in deep neural networks

Reference 23

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Generalization through variance: how noise shapes inductive biases in diffusion models Neural network-based score estimation in diffusion models: Optimization and generalization

Reference 24

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Generalization through variance: how noise shapes inductive biases in diffusion models Denoising diffusion probabilistic models

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Generalization through variance: how noise shapes inductive biases in diffusion models Neural tangent kernel: Convergence and generalization in neural networks

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Generalization through variance: how noise shapes inductive biases in diffusion models Generalization in diffusion models arises from geometry-adaptive harmonic representations

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Generalization through variance: how noise shapes inductive biases in diffusion models An analytic theory of creativity in convolutional diffusion models

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Generalization through variance: how noise shapes inductive biases in diffusion models Elucidating the design space of diffusion-based generative models

Reference 29

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Generalization through variance: how noise shapes inductive biases in diffusion models Analyzing and improving the training dynamics of diffusion models, 2024

Reference 30

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Generalization through variance: how noise shapes inductive biases in diffusion models Path integrals in quantum mechanics, statistics, polymer physics, and financial markets

Reference 31

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Generalization through variance: how noise shapes inductive biases in diffusion models Pseudo Numerical Methods for Diffusion Models on Manifolds

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Generalization through variance: how noise shapes inductive biases in diffusion models Boomerang: Local sampling on image manifolds using diffusion models

Reference 33

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Generalization through variance: how noise shapes inductive biases in diffusion models Unresolved cited work

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Generalization through variance: how noise shapes inductive biases in diffusion models Dynamical mean-field theory for stochastic gradient descent in gaussian mixture classification

Reference 35

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Generalization through variance: how noise shapes inductive biases in diffusion models Towards a Mechanistic Explanation of Diffusion Model Generalization

Reference 36

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This paper cites On the spectral bias of neural networks.

Generalization through variance: how noise shapes inductive biases in diffusion models On the spectral bias of neural networks

Reference 37

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Observation e3e052d2-be24-4fb3-ab8b-93451e53b36e · outbound

This paper cites High-resolution image synthesis with latent diffusion models.

Generalization through variance: how noise shapes inductive biases in diffusion models High-resolution image synthesis with latent diffusion models

Reference 38

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Observation ee9135f8-4dc4-49d7-8027-9b03efc0a7cd · outbound

This paper cites A Theory of Neural Tangent Kernel Alignment and Its Influence on Training.

Generalization through variance: how noise shapes inductive biases in diffusion models A Theory of Neural Tangent Kernel Alignment and Its Influence on Training

Reference 39

Resolution
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Observation 70769471-3637-42f8-8417-0aee91534098 · outbound

This paper cites On the generalization benefit of noise in stochastic gradient descent.

Generalization through variance: how noise shapes inductive biases in diffusion models On the generalization benefit of noise in stochastic gradient descent

Reference 40

Resolution
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Observation d2f81006-1200-491c-92d2-c99a9ac2435b · outbound

This paper cites Smith and Quoc V.

Generalization through variance: how noise shapes inductive biases in diffusion models Smith and Quoc V

Reference 41

Resolution
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Observation 02957564-0208-4c6c-97c0-10e2c87935d6 · outbound

This paper cites Deep unsupervised learning using nonequilibrium thermodynamics.

Generalization through variance: how noise shapes inductive biases in diffusion models Deep unsupervised learning using nonequilibrium thermodynamics

Reference 42

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Observation 49a84cbf-5f7d-429a-8618-f12922de1290 · outbound

This paper cites Diffusion art or digital forgery? investigating data replication in diffusion models.

Generalization through variance: how noise shapes inductive biases in diffusion models Diffusion art or digital forgery? investigating data replication in diffusion models

Reference 43

Resolution
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Observation 001d6421-b9e2-428b-b8b5-aaa7f25b3459 · outbound

This paper cites Understanding and mitigating copying in diffusion models.

Generalization through variance: how noise shapes inductive biases in diffusion models Understanding and mitigating copying in diffusion models

Reference 44

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

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Observation 6602a2b0-df07-495d-aa1d-491ca6b05848 · outbound

This paper cites Generative modeling by estimating gradients of the data distribution.

Generalization through variance: how noise shapes inductive biases in diffusion models Generative modeling by estimating gradients of the data distribution

Reference 45

Resolution
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Observation 1925080a-8b5c-4b07-b7a0-db06a37c4778 · outbound

This paper cites Sliced score matching: A scalable approach to density and score estimation.

Generalization through variance: how noise shapes inductive biases in diffusion models Sliced score matching: A scalable approach to density and score estimation

Reference 46

Resolution
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Observation 93ded67d-21cc-4672-8ec2-f88d4f5e5cb3 · outbound

This paper cites Score-based generative modeling through stochastic differential equations.

Generalization through variance: how noise shapes inductive biases in diffusion models Score-based generative modeling through stochastic differential equations

Reference 47

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Observation ea150992-c784-4111-b5f2-1ce90e19e738 · outbound

This paper cites Cresswell, Rasa Hosseinzadeh, Yi Sui, Brendan Leigh Ross, Valentin Villecroze, Zhaoyan Liu, Anthony L.

Generalization through variance: how noise shapes inductive biases in diffusion models Cresswell, Rasa Hosseinzadeh, Yi Sui, Brendan Leigh Ross, Valentin Villecroze, Zhaoyan Liu, Anthony L

Reference 48

Resolution
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Source-reported events for the cited work

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Observation 8d6ff9f0-bbea-4af7-a25e-b6544677d9a6 · outbound

This paper cites A connection between score matching and denoising autoencoders.

Generalization through variance: how noise shapes inductive biases in diffusion models A connection between score matching and denoising autoencoders

Reference 49

Resolution
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Observation c27f54af-0cdf-4ec7-9428-3e40edf67e9b · outbound

This paper cites Kakade, and Boaz Barak.

Generalization through variance: how noise shapes inductive biases in diffusion models Kakade, and Boaz Barak

Reference 50

Resolution
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Observation 0f81ca1e-e7ca-4d88-b318-7a4d4e7d4ef0 · outbound

This paper cites The unreasonable effectiveness of gaussian score approximation for diffusion models and its applications.

Generalization through variance: how noise shapes inductive biases in diffusion models The unreasonable effectiveness of gaussian score approximation for diffusion models and its applications

Reference 51

Resolution
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Observation 9bbe77fa-fb0e-45e2-9f93-a826e1c65cc5 · outbound

This paper cites Diffusion Models Generate Images Like Painters: an Analytical Theory of Outline First, Details Later.

Generalization through variance: how noise shapes inductive biases in diffusion models Diffusion Models Generate Images Like Painters: an Analytical Theory of Outline First, Details Later

Reference 52

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Observation 378e1b5b-f527-40b5-93dd-3df6d5361a3f · outbound

This paper cites Lee, Edward Moroshko, Pedro Savarese, Itay Golan, Daniel Soudry, and Nathan Srebro.

Generalization through variance: how noise shapes inductive biases in diffusion models Lee, Edward Moroshko, Pedro Savarese, Itay Golan, Daniel Soudry, and Nathan Srebro

Reference 53

Resolution
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Source-reported events for the cited work

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Observation a1295ba5-151c-4ec0-9337-855ab0ce93af · outbound

This paper cites Jaakkola.

Generalization through variance: how noise shapes inductive biases in diffusion models Jaakkola

Reference 54

Resolution
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Observation 292af853-4a02-4798-90f9-8b7a44a03418 · outbound

This paper cites Diffusion models: A comprehensive survey of methods and applications.

Generalization through variance: how noise shapes inductive biases in diffusion models Diffusion models: A comprehensive survey of methods and applications

Reference 55

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Observation b2570d8a-26a1-48b3-a842-b90e66dfbd90 · outbound

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Generalization through variance: how noise shapes inductive biases in diffusion models Unresolved cited work

Reference 56

Resolution
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Observation db01f84a-f1ec-4299-b7c4-ee58515f6c84 · outbound

This paper cites Understanding deep learning requires rethinking generalization.

Generalization through variance: how noise shapes inductive biases in diffusion models Understanding deep learning requires rethinking generalization

Reference 57

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Unavailable: canonical work link unavailable.

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Observation 150e60e9-8742-4158-9082-c0905cb0e727 · outbound

This paper cites The emergence of reproducibility and consistency in diffusion models.

Generalization through variance: how noise shapes inductive biases in diffusion models The emergence of reproducibility and consistency in diffusion models

Reference 58

Resolution
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Observation 8f658099-6be7-45b0-ad0d-bf1af6fdd9df · outbound

This paper cites @esa (Ref.

Generalization through variance: how noise shapes inductive biases in diffusion models @esa (Ref

Reference 59

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T12:36:32.195711Z digest=sha256:4be5844e95bfb9c97ad32157c5c305eabc72061fd05fc20e552675ca205f6418

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Generalization through variance: how noise shapes inductive biases in diffusion models Unresolved cited work

Reference 60

Resolution
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Generalization through variance: how noise shapes inductive biases in diffusion models " id="W5M0MpCehiHzreSzNTczkc9d

Reference 61

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Pith citing papers

Observation 0a8785fe-c7c4-42d2-8638-5a10d9596446 · inbound

The two clocks and the innovation window: When and how generative models learn rules cites this paper.

The two clocks and the innovation window: When and how generative models learn rules Generalization through variance: how noise shapes inductive biases in diffusion models

Reference 118

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Observation 70963400-72a4-41d4-9d85-843505e3352d · inbound

Unified Audio Intelligence Without Regressing on Text Intelligence cites this paper.

Unified Audio Intelligence Without Regressing on Text Intelligence Generalization through variance: how noise shapes inductive biases in diffusion models

Reference 169

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

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Observation 2d17c73f-951f-4dc1-b364-b0890ca577a5 · inbound

Unified Audio Intelligence Without Regressing on Text Intelligence cites this paper.

Unified Audio Intelligence Without Regressing on Text Intelligence Generalization through variance: how noise shapes inductive biases in diffusion models

Reference 169

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Unavailable: canonical work link unavailable.

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