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Paper Citation Record · LEDGER

A Spectral Framework for Closed-Form Relative Density Estimation

As of 15 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 1 inbound Pith citation observation for arXiv:2605.10668.

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

pith.paper-citation-record.v1
2605.10668 v1

Coverage vector

measured 78 of 78 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-12T04:05:11.024397Z

measured 79 of 79 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-03T17:45:11.327344Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T17:48:45.322606Z

Reference resolution

78 of 78 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3fe610b3-22af-4494-ba36-4713270a9905 · outbound

This paper cites Kullback-Leibler divergence estimation of continuous distributions.

A Spectral Framework for Closed-Form Relative Density Estimation Kullback-Leibler divergence estimation of continuous distributions

Reference 1

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Observation a62b35fd-e771-4c69-8d69-617bac12310b · outbound

This paper cites Cambridge University Press.

A Spectral Framework for Closed-Form Relative Density Estimation Cambridge University Press

Reference 2

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Source-reported events for the cited work

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Observation 59bef070-c8b6-45f9-96d0-60b8ec353496 · outbound

This paper cites Minimization ofφ-divergences on sets of signed measures.

A Spectral Framework for Closed-Form Relative Density Estimation Minimization ofφ-divergences on sets of signed measures

Reference 3

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Observation ffa2e63d-c03a-4917-97be-b764752686a6 · outbound

This paper cites Wainwright, and Michael I.

A Spectral Framework for Closed-Form Relative Density Estimation Wainwright, and Michael I

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 149ce5a8-1806-4654-845b-5c45319e0f75 · outbound

This paper cites Fisher III.

A Spectral Framework for Closed-Form Relative Density Estimation Fisher III

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 741847cf-a9b6-4a0c-b72c-7a9df51ac147 · outbound

This paper cites Provable benefits of annealing for estimating normalizing constants: Importance sampling, noise-contrastive estimation, and beyond.

A Spectral Framework for Closed-Form Relative Density Estimation Provable benefits of annealing for estimating normalizing constants: Importance sampling, noise-contrastive estimation, and beyond

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 84b85d91-7b53-4a12-b837-ab0736211d4d · outbound

This paper cites Penalized discriminant analysis.The Annals of Statistics, 23(1):73–102, 1995.(cited on page 2).

A Spectral Framework for Closed-Form Relative Density Estimation Penalized discriminant analysis.The Annals of Statistics, 23(1):73–102, 1995.(cited on page 2)

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1d4e8e11-3dc0-4ebc-a446-a3be5c857eef · outbound

This paper cites Testing for Homogeneity with Kernel Fisher Discriminant Analysis.

A Spectral Framework for Closed-Form Relative Density Estimation Testing for Homogeneity with Kernel Fisher Discriminant Analysis

Reference 8

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Source-reported events for the cited work

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Observation 4991685e-2347-43c0-9228-976f3bc0fd4a · outbound

This paper cites A least-squares approach to direct importance estimation.

A Spectral Framework for Closed-Form Relative Density Estimation A least-squares approach to direct importance estimation

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1eb3328f-80d9-4d60-b8d9-d7d4628b5ceb · outbound

This paper cites Cambridge University Press, 2012.(cited on pages 2 and 4).

A Spectral Framework for Closed-Form Relative Density Estimation Cambridge University Press, 2012.(cited on pages 2 and 4)

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 69197391-bc19-4336-ad29-62b09e538b8d · outbound

This paper cites MIT Press, 2024.(cited on pages 2, 30, 42, 44, 46, and 47) 13.

A Spectral Framework for Closed-Form Relative Density Estimation MIT Press, 2024.(cited on pages 2, 30, 42, 44, 46, and 47) 13

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b6b2e1b6-f9c6-4d93-9542-15c79ef3e360 · outbound

This paper cites an unresolved cited work.

A Spectral Framework for Closed-Form Relative Density Estimation Unresolved cited work

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a14d868e-1cfc-4107-9382-2c5786a3a2c4 · outbound

This paper cites Nelder.Generalized Linear Models.

A Spectral Framework for Closed-Form Relative Density Estimation Nelder.Generalized Linear Models

Reference 13

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Source-reported events for the cited work

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Observation 1fddf940-2316-4d70-a1b4-4473f9eacb0f · outbound

This paper cites Relative density-ratio estimation for robust distribution comparison.Neural Computation, 25(5):1324–1370.

A Spectral Framework for Closed-Form Relative Density Estimation Relative density-ratio estimation for robust distribution comparison.Neural Computation, 25(5):1324–1370

Reference 14

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Source-reported events for the cited work

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Observation 0f9098b7-50bb-43c6-add2-4ad46110af19 · outbound

This paper cites Monotone Riemannian metrics and relative entropy on noncommutative probability spaces.Journal of Mathematical Physics, 40(11):5702–5724, 1999.(cited on pages 3 and 24).

A Spectral Framework for Closed-Form Relative Density Estimation Monotone Riemannian metrics and relative entropy on noncommutative probability spaces.Journal of Mathematical Physics, 40(11):5702–5724, 1999.(cited on pages 3 and 24)

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 432425ef-8b7e-40a9-ae12-3b8e1c63c25e · outbound

This paper cites an unresolved cited work.

A Spectral Framework for Closed-Form Relative Density Estimation Unresolved cited work

Reference 16

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Observation 383c3e6c-3549-4e42-84d5-bc5e643f4264 · outbound

This paper cites Information theory with kernel methods.IEEE Transactions on Information Theory, 69(2):752–775, 2023.(cited on pages 3, 4, 6, 7, 9, 13, 19, 22, 29, and 36).

A Spectral Framework for Closed-Form Relative Density Estimation Information theory with kernel methods.IEEE Transactions on Information Theory, 69(2):752–775, 2023.(cited on pages 3, 4, 6, 7, 9, 13, 19, 22, 29, and 36)

Reference 17

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Source-reported events for the cited work

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Observation c32fc656-fe67-45ef-bf78-7581ebc0240e · outbound

This paper cites On-line expectation–maximization algorithm for latent data models.

A Spectral Framework for Closed-Form Relative Density Estimation On-line expectation–maximization algorithm for latent data models

Reference 18

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Source-reported events for the cited work

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Observation 003b2d22-b14f-4866-8ac6-ab58f92c5b7b · outbound

This paper cites Breaking the curse of dimensionality with convex neural networks.Journal of Machine Learning Research, 18(19):1–53, 2017.(cited on pages 3, 9, 10, 11, 35, 40, 41, and 43).

A Spectral Framework for Closed-Form Relative Density Estimation Breaking the curse of dimensionality with convex neural networks.Journal of Machine Learning Research, 18(19):1–53, 2017.(cited on pages 3, 9, 10, 11, 35, 40, 41, and 43)

Reference 19

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Observation 6555a847-d65f-4137-ac2c-72aeff3e3b6c · outbound

This paper cites Estimation of non-normalized statistical models by score matching.Journal of Machine Learning Research, 6(4), 2005.(cited on page 4).

A Spectral Framework for Closed-Form Relative Density Estimation Estimation of non-normalized statistical models by score matching.Journal of Machine Learning Research, 6(4), 2005.(cited on page 4)

Reference 20

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Observation 923bfdcd-dafe-4f8f-b0d6-c9daf5157b6e · outbound

This paper cites Gutmann and Aapo Hyvärinen.

A Spectral Framework for Closed-Form Relative Density Estimation Gutmann and Aapo Hyvärinen

Reference 21

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Observation 1845e425-d1c8-44dc-8143-6d0c7e2cb419 · outbound

This paper cites Regularizedf-divergence kernel tests.

A Spectral Framework for Closed-Form Relative Density Estimation Regularizedf-divergence kernel tests

Reference 22

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Observation f7990864-c976-4b3a-b5f5-dbd4a757759b · outbound

This paper cites Reid and Robert C.

A Spectral Framework for Closed-Form Relative Density Estimation Reid and Robert C

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b40dcf7c-ec06-4ad1-8ade-5467f1394483 · outbound

This paper cites World Scientific.

A Spectral Framework for Closed-Form Relative Density Estimation World Scientific

Reference 24

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Source-reported events for the cited work

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Observation d6b44dfb-1c55-44b7-9ca6-53f7c5798cbf · outbound

This paper cites Testing for homogeneity with kernel Fisher discrimi- nant analysis.

A Spectral Framework for Closed-Form Relative Density Estimation Testing for homogeneity with kernel Fisher discrimi- nant analysis

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 15333586-8578-4982-9dd3-678fc0c2a515 · outbound

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A Spectral Framework for Closed-Form Relative Density Estimation Unresolved cited work

Reference 26

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Source-reported events for the cited work

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Observation 1221b221-6985-4977-9e95-3fa3b4cd9a86 · outbound

This paper cites Borgwardt, Malte J.

A Spectral Framework for Closed-Form Relative Density Estimation Borgwardt, Malte J

Reference 27

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Source-reported events for the cited work

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Observation 25764b07-b6bb-4f0e-9e37-4279aa875980 · outbound

This paper cites Random features for large-scale kernel machines.

A Spectral Framework for Closed-Form Relative Density Estimation Random features for large-scale kernel machines

Reference 28

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Source-reported events for the cited work

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Observation 3bb4347b-a529-4b1d-8684-83f8c5f50d15 · outbound

This paper cites Generalization properties of learning with random features.

A Spectral Framework for Closed-Form Relative Density Estimation Generalization properties of learning with random features

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f6bde5fd-ceca-4e32-b95a-b84eb8b5f1c0 · outbound

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A Spectral Framework for Closed-Form Relative Density Estimation Mahoney and Petros Drineas

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 17f4d32e-3eb8-4950-96a3-5309c631a06f · outbound

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A Spectral Framework for Closed-Form Relative Density Estimation Unresolved cited work

Reference 31

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Source-reported events for the cited work

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Observation 592d7e4d-ac8b-41a1-a755-3a977591189e · outbound

This paper cites Using the Nyström method to speed up kernel machines.

A Spectral Framework for Closed-Form Relative Density Estimation Using the Nyström method to speed up kernel machines

Reference 32

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Source-reported events for the cited work

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Observation feb4ba2c-c6c4-4be2-a0e7-7616342ddbc6 · outbound

This paper cites Less is more: Nyström computational regularization.

A Spectral Framework for Closed-Form Relative Density Estimation Less is more: Nyström computational regularization

Reference 33

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Source-reported events for the cited work

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Observation 4c60f6f6-9fb4-42e3-99b1-2f1b28353e79 · outbound

This paper cites On the relationship between multivariate splines and infinitely-wide neural networks.

A Spectral Framework for Closed-Form Relative Density Estimation On the relationship between multivariate splines and infinitely-wide neural networks

Reference 34

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arxiv_id, observed 2026-05-12T06:41:27.729693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:69b81d75a27debb315475956359423f8c4c232f2a423580d1e26077331f15b3b

Observation e1554c1e-354b-4f58-b6ff-6114a1a10f04 · outbound

This paper cites Information-type measures of difference of probability distributions and indirect observa- tion.

A Spectral Framework for Closed-Form Relative Density Estimation Information-type measures of difference of probability distributions and indirect observa- tion

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.369696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:bd0dd630900f3dac73e666c9107a464b877394d348c1b3147fb9a9c11310ce5d

Observation 5eed0394-b794-41ac-84b3-fa2d8ff3ab1d · outbound

This paper cites Letizia, Nicola Novello, and Andrea M.

A Spectral Framework for Closed-Form Relative Density Estimation Letizia, Nicola Novello, and Andrea M

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.453036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:57907278d7775f082d3007a0c88a9c4e3bfceba3026f021d3a1b639561998ec3

Observation 7326b0e7-4197-4f08-8d6d-e55a1fe22b29 · outbound

This paper cites Sufficient dimension reduction via squared-loss mutual information estimation.

A Spectral Framework for Closed-Form Relative Density Estimation Sufficient dimension reduction via squared-loss mutual information estimation

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.445574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:faa6bf6a63dccb84a2ab2d17c5383fccd13d1e4c53cf9f06e2b45a19c17e3e9f

Observation 5ec0dba3-aa91-4db3-9887-64d5af0100be · outbound

This paper cites Mutual information neural estimation.

A Spectral Framework for Closed-Form Relative Density Estimation Mutual information neural estimation

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.425613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:69478d9f75eb2320352b48583a2fb4e138c2564463887cbc2f449395bcf52fa9

Observation fa71a49c-71a1-488a-af4c-522511e5ed84 · outbound

This paper cites On variational bounds of mutual information.

A Spectral Framework for Closed-Form Relative Density Estimation On variational bounds of mutual information

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.433490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:b8e4f97871ffefbad6cf45666a66a24becedb82239d1106710224fa7f8305566

Observation 3aa599f4-9b98-4f54-84a9-1b9a7451cfbb · outbound

This paper cites an unresolved cited work.

A Spectral Framework for Closed-Form Relative Density Estimation Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-05-12T16:51:42.377566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:068828d83ed57530156039e6589fe45195b56f5e9eebdc07087013892d3aa984

Observation f10a7c18-aa4d-4cdf-8a0c-6fef57a7deb6 · outbound

This paper cites SimpleMKL.Journal of Machine Learning Research, 9:2491–2521, 2008.(cited on page 7).

A Spectral Framework for Closed-Form Relative Density Estimation SimpleMKL.Journal of Machine Learning Research, 9:2491–2521, 2008.(cited on page 7)

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.361517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:c1b15f28e16e12606821969cea51d7e31e3eef0d56b3790f445c6dfd11358347

Observation 800ee5de-6135-4577-9ecb-2237ff97a19d · outbound

This paper cites Multiple kernel learning algorithms.Journal of Machine Learning Research, 12:2211–2268, 2011.(cited on page 7) 15.

A Spectral Framework for Closed-Form Relative Density Estimation Multiple kernel learning algorithms.Journal of Machine Learning Research, 12:2211–2268, 2011.(cited on page 7) 15

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.402460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:1c55316461a18038f008e757c9f5a626d6db7cf5573dd7e58996c0d9298d0230

Observation 5e9dd0f5-b164-4059-81bf-b1d8ac131a65 · outbound

This paper cites Enhanced feature learning via regularisation: Integrating neural networks and kernel methods.Journal of Machine Learning Research, 26(172):1–56, 2025.(cited on page 7).

A Spectral Framework for Closed-Form Relative Density Estimation Enhanced feature learning via regularisation: Integrating neural networks and kernel methods.Journal of Machine Learning Research, 26(172):1–56, 2025.(cited on page 7)

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.320532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:5ef55c705d0c6bdf54ae1af96df81a08f9712338d9e3674c1b7a4dd591e6de02

Observation d0b6ff20-8f23-44f9-9693-60a42addfb80 · outbound

This paper cites A tutorial on MM algorithms.The American Statistician, 58(1):30–37, 2004.(cited on page 8).

A Spectral Framework for Closed-Form Relative Density Estimation A tutorial on MM algorithms.The American Statistician, 58(1):30–37, 2004.(cited on page 8)

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.589744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:a347eece9e806c0781be06757f7e60c61c4e53c33039de33879d3a2dc530ccd6

Observation 5e61de3a-d671-4fa3-92d9-be820919859b · outbound

This paper cites Stochastic majorization-minimization algorithms for large-scale optimization.

A Spectral Framework for Closed-Form Relative Density Estimation Stochastic majorization-minimization algorithms for large-scale optimization

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.409685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:8f787ee79b0177f660976a447ff3b05e46087c36dec0b0533a5c3f434fe4ae84

Observation a03d25ee-6a3a-4bf1-90ec-9e0e18a33e2c · outbound

This paper cites Golub and Charles F.

A Spectral Framework for Closed-Form Relative Density Estimation Golub and Charles F

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.276468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:611b76a6a5f3f3a34c71ae1eec1239b515b92e5f3018d8e756447b28299da966

Observation 74e00068-cfd3-446e-b5f7-5cfc879db5ec · outbound

This paper cites Sriperumbudur, Kenji Fukumizu, and Gert R.

A Spectral Framework for Closed-Form Relative Density Estimation Sriperumbudur, Kenji Fukumizu, and Gert R

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.348777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:9766ffac0e63ce5d3984ab746cee26e4c100e00e0fd8ad8ed683d0ac567ecaba

Observation d98e0860-45ff-4ec8-b9f0-dded2f152533 · outbound

This paper cites Efficient estimation of integral functionals of a density.The Annals of Statistics, 24(2):659–681, 1996.(cited on pages 9, 10, and 36).

A Spectral Framework for Closed-Form Relative Density Estimation Efficient estimation of integral functionals of a density.The Annals of Statistics, 24(2):659–681, 1996.(cited on pages 9, 10, and 36)

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.394228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:3f23e39d517c28c92a1711231404257b6b26610cdf2906379985a5b769e28ae7

Observation 8f403c28-1134-4845-984d-6eb82a5ce318 · outbound

This paper cites Lee.U-Statistics: Theory and Practice.

A Spectral Framework for Closed-Form Relative Density Estimation Lee.U-Statistics: Theory and Practice

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.390310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:3ac571ba178aed5fe4fe8802ff2500e79cad0172d3e133e721d7e1b45d98762a

Observation 8d53be3c-6bae-4914-a9f2-e2d9e1e7aafd · outbound

This paper cites On the global convergence of gradient descent for over-parameterized models using optimal transport.

A Spectral Framework for Closed-Form Relative Density Estimation On the global convergence of gradient descent for over-parameterized models using optimal transport

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.488119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:0e33ad6e6497d92e51446a3509aad3594ea52d1811fbef73df6daca564fcaf77

Observation 81dce34d-3b18-4503-97c1-378dac3af456 · outbound

This paper cites Numerically stable parallel computation of (co-)variance.

A Spectral Framework for Closed-Form Relative Density Estimation Numerically stable parallel computation of (co-)variance

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.302155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:2083acba08e8d3e3c15b1d8bb765a9a3e18108751783adfe5489e9472f60e45f

Observation 83f7d49d-6fbf-46e5-b2a5-36f6dc79c1ba · outbound

This paper cites Sketching data sets for large-scale learning: Keeping only what you need.IEEE Signal Processing Magazine, 38(5):12–36, 2021.(cited on page 13).

A Spectral Framework for Closed-Form Relative Density Estimation Sketching data sets for large-scale learning: Keeping only what you need.IEEE Signal Processing Magazine, 38(5):12–36, 2021.(cited on page 13)

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.365691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:b7c55a564abf2493a0311c6b6460092ec973fa1fb52babf1d33b93c8a833c44b

Observation 389ae354-e26b-4c40-9dda-856dc8aa761a · outbound

This paper cites Wainwright and Michael I.

A Spectral Framework for Closed-Form Relative Density Estimation Wainwright and Michael I

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.524023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:40997146f2c8fb0e430cf93b9367fd66201804776aa454edebf4f2a881752fad

Observation b7ad9eca-bc1a-459f-a849-2e7b73805de7 · outbound

This paper cites Least-squaresindependentcomponentanalysis.

A Spectral Framework for Closed-Form Relative Density Estimation Least-squaresindependentcomponentanalysis

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.504082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:3d825f7eee061bca69e88096e08a9d1cc6e4611abd097f11b02e067f6c63c510

Observation fe489445-748c-42f7-8006-f74604eee733 · outbound

This paper cites Direct importance estimation with model selection and its application to covariate shift adaptation.

A Spectral Framework for Closed-Form Relative Density Estimation Direct importance estimation with model selection and its application to covariate shift adaptation

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.508449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:acc1707cdd75a99fee1b1bb45d808460b01f7f96045b9f344ad7a408ef9f1d5e

Observation c692e9e9-0c8f-4098-bee6-8ea7c749ddde · outbound

This paper cites f-GAN: Training generative neural samplers using variational divergence minimization.

A Spectral Framework for Closed-Form Relative Density Estimation f-GAN: Training generative neural samplers using variational divergence minimization

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.441621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:fd9a2c2c1ad15ba1129e727d610d21fe3ae8cc098c42d20d085e7df47e3163fd

Observation 8fb45788-c872-4c4d-9b81-f68bec503a8f · outbound

This paper cites Binary losses for density ratio estimation.

A Spectral Framework for Closed-Form Relative Density Estimation Binary losses for density ratio estimation

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.417437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:319c062cb9c08f699408d02828b454f06ed4fbb49cbdbe58a89376b44c1fd9e8

Observation ee61e10f-cfcd-4331-b1b2-823434fd5dc5 · outbound

This paper cites Pereverzyev.

A Spectral Framework for Closed-Form Relative Density Estimation Pereverzyev

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.512215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:7ec00d677a31ea6df9a0cd8f24f1653b6b1c697bee1bf696d1989839e96c28da

Observation 7999f519-f6f0-4f5e-a9a4-8cc58d34f8a4 · outbound

This paper cites Linking losses for density ratio and class-probability estimation.

A Spectral Framework for Closed-Form Relative Density Estimation Linking losses for density ratio and class-probability estimation

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.307263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:4dd118d910dfe5c8195496906accfdb833cd99e798d3f3f691bbad899384268e

Observation 34df9a96-e021-46be-b719-03ed13fe52e4 · outbound

This paper cites Cambridge University Press.

A Spectral Framework for Closed-Form Relative Density Estimation Cambridge University Press

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.311544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:17f2a6cf9b0603dcfb436b749983f2f770ee29c2cfb92849f4cec4794cef0ca0

Observation e646e905-91dd-4795-9c6d-0e1e8bdf84c3 · outbound

This paper cites Concavity of certain maps on positive definite matrices and applications to Hadamard products.

A Spectral Framework for Closed-Form Relative Density Estimation Concavity of certain maps on positive definite matrices and applications to Hadamard products

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.336623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:080e0cfee616c99fc6a67eb8c4f5db86b9b3731c9d805f1ba072e8ef7679a60b

Observation d10d5e58-40e1-4de0-9bc1-1fb8541a3119 · outbound

This paper cites an unresolved cited work.

A Spectral Framework for Closed-Form Relative Density Estimation Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-05-12T16:51:42.569169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:f40c63e995259d2432e306fb7dfef7d3d076a70322e8121877bed0705b30618e

Observation a0d44419-311f-4fbe-8315-4022f3eee0c0 · outbound

This paper cites Optimal rates for the regularized least-squares algorithm.

A Spectral Framework for Closed-Form Relative Density Estimation Optimal rates for the regularized least-squares algorithm

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.457387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:1d9d46609c170a39281a2f561e51d67d8a318c14036991c6d7ea2c8f3f6c3c15

Observation f0be7d9d-5a4b-4e1e-9860-0da89e55da12 · outbound

This paper cites Optimal rates for spectral algorithms with least-squares regression over Hilbert spaces.Applied and Computational Harmonic Analysis, 48(3):868–890, 2020.(cited on pages 29 and 30).

A Spectral Framework for Closed-Form Relative Density Estimation Optimal rates for spectral algorithms with least-squares regression over Hilbert spaces.Applied and Computational Harmonic Analysis, 48(3):868–890, 2020.(cited on pages 29 and 30)

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.352776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:ae143e1a2ea67b13379bfd2cb6f618c8288bea47af04e21bedd617cd3da5e5d1

Observation e1100fed-42cb-4da2-b5ce-d91c031cc3d0 · outbound

This paper cites Sharp analysis of low-rank kernel matrix approximations.

A Spectral Framework for Closed-Form Relative Density Estimation Sharp analysis of low-rank kernel matrix approximations

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.545051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:9b815b39a8af05aa35fa92a27dcfc7548df882197635fa2381e792e4b3ccb2fd

Observation f63a6ed6-1021-4883-a51d-e7606a1ecda6 · outbound

This paper cites an unresolved cited work.

A Spectral Framework for Closed-Form Relative Density Estimation Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-05-12T16:51:42.572909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:ac391aa07d97b9cf56b0dc1f940b0acd05ff06491ee28bfdb93d421cb22fbd7a

Observation bcdd4b72-371c-4490-8c59-e9d5171aef56 · outbound

This paper cites an unresolved cited work.

A Spectral Framework for Closed-Form Relative Density Estimation Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-05-12T16:51:42.386613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:94fe83d443de4a23faeebe2d52938cb17578c4ea952cae14a98d42303fbb243e

Observation ae881197-be15-476d-b3d6-f7b4bdd228bb · outbound

This paper cites On converse and saturation results for Tikhonov regularization of linear ill-posed problems.

A Spectral Framework for Closed-Form Relative Density Estimation On converse and saturation results for Tikhonov regularization of linear ill-posed problems

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.429396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:2c33849bbeb85fb3cdfe6ab19d51b966b5c97219ffe4832779f9bfce1ea099a7

Observation 46fa54df-181f-4404-a631-17e3fe645723 · outbound

This paper cites Sobolev norm learning rates for regularized least-squares algorithms.

A Spectral Framework for Closed-Form Relative Density Estimation Sobolev norm learning rates for regularized least-squares algorithms

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.480816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:aa0aed42769cab20a2514b760d0c5f0c4cba6f867aaf4874cbbf999ca83f19a3

Observation 77537289-0eb8-45a6-801b-4136f99c079a · outbound

This paper cites Bounds on rates of variable-basis and neural-network approxi- mation.

A Spectral Framework for Closed-Form Relative Density Estimation Bounds on rates of variable-basis and neural-network approxi- mation

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.345229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:5801d58b16e6cf9eea6c308cb4689280bb8f25171654db441f99937b8e5a9400

Observation 681d96fd-91e3-4833-a27c-5ecf49b9b95d · outbound

This paper cites A vector-contraction inequality for Rademacher complexities.

A Spectral Framework for Closed-Form Relative Density Estimation A vector-contraction inequality for Rademacher complexities

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.581330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:b919f4b6478db214aa9f557328988bbf6106f5b6b8bde29986b498b9c0216ee4

Observation 75483703-e237-4f40-a273-2bf5b8f25118 · outbound

This paper cites Revisiting Frank-Wolfe: Projection-free sparse convex optimization.

A Spectral Framework for Closed-Form Relative Density Estimation Revisiting Frank-Wolfe: Projection-free sparse convex optimization

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.585697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:f7324658f72312121c57693ed8899a26d8fcbfd36ebd4f8487feb03bc069b3b7

Observation 7ca1f26e-4230-4122-9379-5cf1875c5a84 · outbound

This paper cites Anderson.An Introduction to Multivariate Statistical Analysis.

A Spectral Framework for Closed-Form Relative Density Estimation Anderson.An Introduction to Multivariate Statistical Analysis

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.324724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:a4969483acdc405e48572afd33dcecfea109a5f9fa434220e21316e230d21efb

Observation 54b0c1d9-8f39-4eec-9fee-2de56d65cb16 · outbound

This paper cites Estimation of entropy and other functionals of a multivariate density.Annals of the Institute of Statistical Mathematics, 41(4):683–697, 1989.(cited on page 54) 17.

A Spectral Framework for Closed-Form Relative Density Estimation Estimation of entropy and other functionals of a multivariate density.Annals of the Institute of Statistical Mathematics, 41(4):683–697, 1989.(cited on page 54) 17

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.476726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:6a790d012762ebf91b85f10a39aa6b93a47b370df21dc602de72cafbd13da020

Observation 2828d852-3db8-4bf9-b509-232df4d11667 · outbound

This paper cites Kulkarni, and Sergio Verdú.

A Spectral Framework for Closed-Form Relative Density Estimation Kulkarni, and Sergio Verdú

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.484526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:9f9d5614eccc31bdba04f873170b2b480c5c9cb59915ab4f0c194ebd665063fe

Observation d983a1d8-20ed-4c2d-8a14-75759754f185 · outbound

This paper cites quadratic+linear.

A Spectral Framework for Closed-Form Relative Density Estimation quadratic+linear

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.465138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:96044d7a36d20a445d25678f1e07bda3a416cde06338a268edc09fed016d3b3e

Observation 113fb19b-1f20-4384-9755-02724679b208 · outbound

This paper cites It has both multiplicative and additive terms.

A Spectral Framework for Closed-Form Relative Density Estimation It has both multiplicative and additive terms

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.449400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:4c998198afa844d428d0c9bcfcd5e7518e0b07d7a4bc71f6b3d6f9fe81950f57

Observation 25bb95ba-3004-4ad5-a67c-1cbe162635b3 · outbound

This paper cites 30 Proof.

A Spectral Framework for Closed-Form Relative Density Estimation 30 Proof

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-05-12T16:51:42.381855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-12T04:05:11.024397Z digest=sha256:f4e452781dfaddc18465afd989f09893dec088b9719729bfe7cd6a8c28484c5a

Pith citing papers

Observation dd9905bf-67bd-4a91-b3e6-97a05d99c72e · inbound

Regularized Variational and Spectral Log-Density-Ratio Estimation in the Gaussian Location Model cites this paper.

Regularized Variational and Spectral Log-Density-Ratio Estimation in the Gaussian Location Model A Spectral Framework for Closed-Form Relative Density Estimation

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-03T17:48:45.324402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T17:45:11.327344Z digest=sha256:f0a14151a8c7cd6d2b86f637c5ae0ca8e50da6f48bc871b1d5033a399fcbe3ba