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Paper Citation Record · LEDGER

Score Change of Variables

As of 23 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2412.07904.

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

pith.paper-citation-record.v1
2412.07904 v3

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T18:34:54.645516Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T12:47:27.756843Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

  • verified exact1
  • verified fuzzy16
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 47625ed4-70a3-4134-8540-e86e09815f77 · outbound

This paper cites Reverse-time diffusion equation models.

Score Change of Variables Reverse-time diffusion equation models

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:34:54.512141Z digest=sha256:0c6ade9f346480edcd77853fa586edaf0af5e8d35740adcb79457b72a72c09f0

Observation 45000692-ac38-4c42-bec7-f45f412f4a8b · outbound

This paper cites Uci machine learning repository, 2007.

Score Change of Variables Uci machine learning repository, 2007

Reference 2

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.516591Z digest=sha256:a3b814b725473ff116dad10b39cdc844562e097ff9e97e924487063b974be5ea

Observation 90106949-1a04-43cc-a287-16cc29d2425b · outbound

This paper cites Logistic-normal distributions: Some properties and uses.

Score Change of Variables Logistic-normal distributions: Some properties and uses

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.520466Z digest=sha256:abd885213552bcce3d5bf2fdc7f1cb136de29cb4d624ec2167194f1ceb15a58c

Observation cc48421c-95d0-4d6e-9ced-02a53b50faf2 · outbound

This paper cites Dirichlet diffusion score model for biological sequence generation.

Score Change of Variables Dirichlet diffusion score model for biological sequence generation

Reference 4

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.524385Z digest=sha256:b79ed2796b31df6fdc954a290dac9de7496006e674199eb866c2f8fa6463474d

Observation 2ec1f065-92e7-4c9f-8921-c10a5daba294 · outbound

This paper cites Chess evaluations, March 2020.

Score Change of Variables Chess evaluations, March 2020

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.528256Z digest=sha256:cc887049e522612f6ed8b557a8494fc806700ee1a631820f323cc273f4b40a35

Observation be4437ce-11e3-445f-90ae-03bb0ac67140 · outbound

This paper cites Improving diffusion models for inverse problems using manifold constraints.

Score Change of Variables Improving diffusion models for inverse problems using manifold constraints

Reference 6

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.531842Z digest=sha256:d261e4f8b62ae888cff649af5361584cc4f9c8fc5aba076adb8fce4f8283d5a6

Observation ef198190-9822-405b-b42d-48bcbad20983 · outbound

This paper cites Riemannian score-based generative modelling.

Score Change of Variables Riemannian score-based generative modelling

Reference 7

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raw_fallback, observed 2026-08-11T18:34:54.976398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.536017Z digest=sha256:cdd5b45eb2d1e246d7396d8ebe206f372c24e8abcb4577810969c22a77cff5cd

Observation 92c72d99-0f4c-43a9-9dde-e57c8d4edb78 · outbound

This paper cites Diffusion models beat gans on image synthesis.

Score Change of Variables Diffusion models beat gans on image synthesis

Reference 8

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.539494Z digest=sha256:fed472b7ca2ba486e572a60fa999acbd0da562eb5455d9c4a4a4470af76e12b9

Observation e7c0dafa-64e8-4b9d-85f9-b0b2ae3d0cf2 · outbound

This paper cites Density estimation using real nvp, 2017.

Score Change of Variables Density estimation using real nvp, 2017

Reference 9

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.542731Z digest=sha256:3d1c262b0ae96123eb72e22e4dab30c9ad206a862fdc656dbeb1a6c7755977c9

Observation 626e3f59-c888-48d3-b897-4aeb18677a9c · outbound

This paper cites Score-Based Generative Modeling with Critically-Damped Langevin Diffusion.

Score Change of Variables Score-Based Generative Modeling with Critically-Damped Langevin Diffusion

Reference 10

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.546278Z digest=sha256:8f5f2cd72ed9415c5aeecf74694dc454e22264b0d4c3ac0a3a5aea18f32cd029

Observation d7d502e7-e724-4933-aec9-1d8322f5ea34 · outbound

This paper cites Tweedie’s formula and selection bias.

Score Change of Variables Tweedie’s formula and selection bias

Reference 11

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.550167Z digest=sha256:dfc0645629d54821686fc8e684833f84e07f5ca8a7e55e624bcf0cd4de17b972

Observation 654a6e84-f835-4d3f-ada1-a180aad885ed · outbound

This paper cites Partial differential equations, volume 19.

Score Change of Variables Partial differential equations, volume 19

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.553471Z digest=sha256:0eba1a09f23bb505fac3d1214a3287bc5d202d182eb333f10acb881c628e952a

Observation b9406d17-3c8f-4998-a9ef-645bb6036b73 · outbound

This paper cites Diffusion models for constrained domains, 2024.

Score Change of Variables Diffusion models for constrained domains, 2024

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.557099Z digest=sha256:88087c4ae8f3a513e8461e17d6164473cb79b10f5a0b63afb3fdc00ac2230eb7

Observation 46aa5abd-feab-42f4-9a61-ee96f7f143af · outbound

This paper cites Diffusion on the probability simplex, 2023.

Score Change of Variables Diffusion on the probability simplex, 2023

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.560632Z digest=sha256:77b516ddefce7f2f4953d64a8e0d1ee15df8962ceefb34bf7049f1d58318d889

Observation 363f3cdb-0b17-478a-8dae-65f71e9cdf36 · outbound

This paper cites Real analysis: modern techniques and their applications, volume 40.

Score Change of Variables Real analysis: modern techniques and their applications, volume 40

Reference 15

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.563979Z digest=sha256:21be3cfbce970221e064b3d9e5de0c378cdc7d2458db71ab9a2001434e7b1b00

Observation 8e535e22-e5b6-479f-bc7e-ab733a5a67d6 · outbound

This paper cites Denoising diffusion probabilistic models, 2020.

Score Change of Variables Denoising diffusion probabilistic models, 2020

Reference 16

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.567295Z digest=sha256:3db4bfb04269abc0a262fc08806e1c932cf0003264cc21d252d5b2e13a5c1058

Observation 98732260-34f8-486b-badf-149126cfadba · outbound

This paper cites Cascaded diffusion models for high fidelity image generation.

Score Change of Variables Cascaded diffusion models for high fidelity image generation

Reference 17

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source=pdf_text observed=2026-08-11T18:34:54.570616Z digest=sha256:97023331a4818c3b4a92e7197de593c048718075d8ea19790baf35aead8b83f7

Observation 9b9fd5f5-b809-4dae-90bd-4f1ca9c29e7e · outbound

This paper cites Estimation of non-normalized statistical models by score matching.

Score Change of Variables Estimation of non-normalized statistical models by score matching

Reference 18

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source=pdf_text observed=2026-08-11T18:34:54.573641Z digest=sha256:e87f114371b8919319d850dfadadd96db8e8ea7ca36b906dc79ffe10a418203e

Observation 3b659cb7-3892-4f64-a813-901d721391ae · outbound

This paper cites CoCoGen: Physically-Consistent and Conditioned Score-based Generative Models for Forward and Inverse Problems.

Score Change of Variables CoCoGen: Physically-Consistent and Conditioned Score-based Generative Models for Forward and Inverse Problems

Reference 19

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:34:54.576247Z digest=sha256:3c4f0f1599ea60a827fc4fc8d266a3b8fd6f3329d8414ff0fa8eaea9b02ce335

Observation 9162b737-6eaf-47c9-8969-1444727085eb · outbound

This paper cites Brownian motion and stochastic calculus, volume 113.

Score Change of Variables Brownian motion and stochastic calculus, volume 113

Reference 20

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raw_fallback, observed 2026-08-11T18:34:54.889684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.579215Z digest=sha256:c6e77faa29aede45477621a251fdd54f76f90e70fba76841590c2c86791e072d

Observation 5698f9eb-615a-49af-93ee-8d6bc35ecbab · outbound

This paper cites A review of change of variable formulas for generative modeling, 2023.

Score Change of Variables A review of change of variable formulas for generative modeling, 2023

Reference 21

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raw_fallback, observed 2026-08-11T18:34:54.878326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.582084Z digest=sha256:a26ee2743c5126d6c955ff6c7cfb797c4b0de74f56475b452cb0d0fb1bc4fb2f

Observation 4b511f28-97a8-4d5c-95f4-4dd4d2410c35 · outbound

This paper cites Reflected diffusion models, 2023.

Score Change of Variables Reflected diffusion models, 2023

Reference 22

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.584760Z digest=sha256:2685e95fb90d24a7b1e3e7faa383ca15cefe2b3fe54953f2374ad73aa8fa41e7

Observation 10689c2a-3f6f-401b-91a6-57e8786a2f0a · outbound

This paper cites Generative Fractional Diffusion Models.

Score Change of Variables Generative Fractional Diffusion Models

Reference 23

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local_arxiv, observed 2026-08-11T18:34:54.690347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.587449Z digest=sha256:465b6024f4e2498573e8f9e4ff863befe1847480f00cb541c67a4cdea06e61fd

Observation ab0fe8d7-5d88-4848-97dc-c2618ddadef3 · outbound

This paper cites Black box variational inference.

Score Change of Variables Black box variational inference

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.590727Z digest=sha256:d0d2e72da4671bc4f2b7c83fb058c2fd792dbd07821f6d0b9b395d13d8e2937e

Observation e5d99aea-9880-4f55-9cd9-f99d52eea15e · outbound

This paper cites Variational inference with normalizing flows, 2016.

Score Change of Variables Variational inference with normalizing flows, 2016

Reference 25

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:34:54.593545Z digest=sha256:e921af1c6072d7c0ea4f1c80addde0a6de939d33fa28dc2b1170666b1fb6e15d

Observation 5b3b9567-d04a-4e7e-8d3f-465aa423f5c9 · outbound

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

Score Change of Variables High- resolution image synthesis with latent diffusion models

Reference 26

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:34:54.596493Z digest=sha256:b15c6e1b4dbe33901bf4c9bd8c0695ebc5c5477f55136492caf514c144c7b721

Observation 55f99d1e-6a52-4d8f-8860-834614ef5abe · outbound

This paper cites U-net: Convolutional networks for biomedical image segmentation.

Score Change of Variables U-net: Convolutional networks for biomedical image segmentation

Reference 27

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:34:54.599851Z digest=sha256:4476e39b7ebe8a1a2278f4d8572f64efdfcf2e1abcf80650102c9bdafa50e3a1

Observation 80d72756-d2ba-4ecd-873f-498a6b7743ac · outbound

This paper cites A spectral approach to gradient estimation for implicit distributions.

Score Change of Variables A spectral approach to gradient estimation for implicit distributions

Reference 28

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raw_fallback, observed 2026-08-11T18:34:54.834138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.603470Z digest=sha256:e9394de24709c8199b6e4e4340afca101bfd4921ae2443b8dfd0cff709e90fc4

Observation 1bdba31f-c677-43d3-a39c-2a7dc2322dab · outbound

This paper cites Sliced score matching: A scalable approach to density and score estimation, 2019.

Score Change of Variables Sliced score matching: A scalable approach to density and score estimation, 2019

Reference 29

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raw_fallback, observed 2026-08-11T18:34:54.822867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.606879Z digest=sha256:2e2082d87bea469c3e101a42e181aee697e43ef8b7fc5d00cc11c7d3bb5dff92

Observation 23e722a1-bcd0-41fa-9504-62e8eead7171 · outbound

This paper cites an unresolved cited work.

Score Change of Variables Unresolved cited work

Reference 30

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raw_fallback, observed 2026-08-11T18:34:54.812242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 20b8ff62-bae1-4341-aa48-6485d656a9b9 · outbound

This paper cites Score-Based Generative Modeling through Stochastic Differential Equations.

Score Change of Variables Score-Based Generative Modeling through Stochastic Differential Equations

Reference 31

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:34:54.613696Z digest=sha256:d371a21da651871d41db665b2c556d5dee90ffc4a78ef8407f99373906e39827

Observation 96ee31c7-bb7a-4911-b3b1-c351e778c5b5 · outbound

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

Score Change of Variables A connection between score matching and denoising autoencoders

Reference 32

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:34:54.617259Z digest=sha256:74a8a33d7a96d34f7ad57317bdd1a17a897cf2e65934d7bad883eb454ad4fc4d

Observation 69199cef-9915-4b83-a952-ca214af2c951 · outbound

This paper cites Learning deep kernels for exponential family densities.

Score Change of Variables Learning deep kernels for exponential family densities

Reference 33

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raw_fallback, observed 2026-08-11T18:34:54.795439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.620343Z digest=sha256:6d74de9f2b708abc75d3464a5fd204db369ecd85cab896c788be76b9db44ba2f

Observation d88987b1-15e2-43e2-9d17-3021a210cf45 · outbound

This paper cites an unresolved cited work.

Score Change of Variables Unresolved cited work

Reference 34

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unresolved
raw_fallback, observed 2026-08-11T18:34:54.785389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.623978Z digest=sha256:9f01e2f881b433160769019e4b9b30c41a32c5473afd0771c49a051ae7d762ef

Observation b9682e2c-3f0c-448a-93aa-b362c398c720 · outbound

This paper cites Both approaches lead to the same result, demonstrating the path-wise equivalence: Reverse(ϕ(Xt, t)) ≡ ϕ(Reverse(Xt), t).

Score Change of Variables Both approaches lead to the same result, demonstrating the path-wise equivalence: Reverse(ϕ(Xt, t)) ≡ ϕ(Reverse(Xt), t)

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T18:34:54.774651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.627147Z digest=sha256:cceebec9a00ae378f5a23b4bcf0b70bce1ebc8b4c955d25ea6025687eac71062

Observation 08cd9581-78f1-4497-8be1-0d52530426bb · outbound

This paper cites an unresolved cited work.

Score Change of Variables Unresolved cited work

Reference 36

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unresolved
raw_fallback, observed 2026-08-11T18:34:54.764049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 430db6df-6597-435a-9f6c-03b99ad38d09 · outbound

This paper cites Assumption 3 (Boundary Conditions).

Score Change of Variables Assumption 3 (Boundary Conditions)

Reference 37

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raw_fallback, observed 2026-08-11T18:34:54.754442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.634522Z digest=sha256:fab2e1cc15ce587a8b1d0ffd886a1c39c13b7041a015b4c5727fdaf8823dca38

Observation 59909d70-0016-48d3-af19-924f9e9bf58e · outbound

This paper cites Thus we require x ̸= 0.

Score Change of Variables Thus we require x ̸= 0

Reference 38

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raw_fallback, observed 2026-08-11T18:34:54.742818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-11T18:34:54.638016Z digest=sha256:73f783c94477de2a4b9f51488b1536e656155e23f7d715572477e1fee4709217

Observation b9bcfd95-5386-4679-bb70-9ae73aa27c55 · outbound

This paper cites an unresolved cited work.

Score Change of Variables Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-11T18:34:54.732347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation fc8a9141-7b9c-4bb7-887f-97d48fdf89ed · outbound

This paper cites D.4 Additional Experimental Results Beyond the score matching loss presented in the main text, we also evaluated the models using test log-likelihood.

Score Change of Variables D.4 Additional Experimental Results Beyond the score matching loss presented in the main text, we also evaluated the models using test log-likelihood

Reference 40

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verified fuzzy
raw_fallback, observed 2026-08-11T18:34:54.722179Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T18:34:54.645516Z digest=sha256:7476c664f3f6d5d242336f2bb48a44d653ba8a8a02a0533ccb34070a3af82229

Pith citing papers

Observation 0c045918-62dc-4da0-8c18-6f8886fabe64 · inbound

Dale meets Langevin: A Multiplicative Denoising Diffusion Model cites this paper.

Dale meets Langevin: A Multiplicative Denoising Diffusion Model Score Change of Variables

Reference 46

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unresolved
no resolver link, observed 2026-08-04T12:47:27.756843Z

Source-reported events for the cited work

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