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Paper Citation Record · LEDGER

The Double Descent Behavior in Two Layer Neural Network for Binary Classification

As of 23 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2504.19351.

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

pith.paper-citation-record.v1
2504.19351 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T06:03:00.631354Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8eb866c4-3764-4ad6-82fe-17ab9af00697 · outbound

This paper cites S., Andrew, M.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification S., Andrew, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:03:01.050528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation bf636b37-78aa-4cbb-9f91-225c53325da2 · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:01.031408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.506402Z digest=sha256:343481297d6ebfe3e1b90992882384dd6ebd3b36696912f7a8cc1629cc1fffeb

Observation 3b4836e0-8645-47f2-b416-f140282569f9 · outbound

This paper cites and Mandal, S.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification and Mandal, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:03:01.012518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.519972Z digest=sha256:5e1da041dce9c52465bbbc124da4b5383f74774fe0abb3c0257ecece64ea1285

Observation e234cd89-c72f-4522-9106-95aa43f6bb4d · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.994582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.531693Z digest=sha256:690aa9890308090baa6aa34e6a531410f428dc4c810fac349d5ca719c6070cc6

Observation f5f5482a-e02f-4870-a50c-f86e1ac22e3b · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.976541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.538353Z digest=sha256:0469713909b3e366e6bf9c6f9acc258bb98e0e542591dd322096ec948512e027

Observation dfdd6cc8-e7ee-497a-b2a6-9f099487d57a · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.958676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.544471Z digest=sha256:6a11460630d8d60b534d6cb97ce6e428e96a95abbb03af168e43d569ff6e196b

Observation 8201e422-e2fc-4a60-9f67-c7472f090534 · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.941636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.550999Z digest=sha256:37b49f4e1a75d64f4c94c78f369254e88cd62c75f95449a0447bdc0bfe49c94e

Observation 29a34fcb-e2dc-40f1-b7eb-065785832551 · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.924609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.556905Z digest=sha256:ad18f8275270e33dcdecfe307da7890caec2f0630533d581ae783e4f704788ed

Observation 1a7ef287-44ce-448b-ace2-f9173be7bef6 · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.906857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.562641Z digest=sha256:d9fb497f7258249a18bfe528576ed88f77f420f93cefb45b05a7d10b5bca4d0d

Observation a48849f8-edf1-4ce5-82e0-73e711ff9013 · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.887044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.568286Z digest=sha256:afe0c689281ae32b231575893658c1714dcde47d7b850ce5d46aee938ccb8b60

Observation c4bb276d-fb66-4df6-8886-8434df8b1b7f · outbound

This paper cites and Cherkassky, V., 2024.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification and Cherkassky, V., 2024

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:03:00.868730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.573820Z digest=sha256:400773cc7bb2f9a755775fea8c28216d4baedc791dbb6f02eadfc4d5dfce0442

Observation a6fd9c39-1b88-4914-977f-796a216446bf · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.849933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.579345Z digest=sha256:01f79b4e00ff713a11801e14de755f3c71ff67403b6caedb9d4ec28dcaed8392

Observation 87cbcfa7-1f9e-499f-bd8a-3d7d690d4a4f · outbound

This paper cites and Zdeborova, L., (2020), The role of regularization in classification of high-dimensional noisy gaussian mixture.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification and Zdeborova, L., (2020), The role of regularization in classification of high-dimensional noisy gaussian mixture

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:03:00.831649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.584906Z digest=sha256:fa847c5ba4bd0c33c3ad918bce7a0e26b7a99de2cd364032afa8f5ab59945616

Observation b8700a88-542c-43d4-9e57-28fcfbd7a294 · outbound

This paper cites More Data Can Hurt for Linear Regression: Sample-wise Double Descent.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification More Data Can Hurt for Linear Regression: Sample-wise Double Descent

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-16T06:03:00.589992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T06:03:00.589992Z digest=sha256:af1d1727928284a4444d18c2f548c68887739d929462c72083f339421446d583

Observation 89124b69-5c2a-4148-b4ab-6feab2657b48 · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.812936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.595948Z digest=sha256:3b360968a07f4a9728f0212aa29170f555af83b5ca6e58b736a17fe2e2ff3b61

Observation ab2b6936-ca4d-4deb-8f71-96921cb459f2 · outbound

This paper cites Optimal Regularization Can Mitigate Double Descent.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Optimal Regularization Can Mitigate Double Descent

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-16T06:03:00.601341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T06:03:00.601341Z digest=sha256:e5b0dd5ab9c09c86eba30bc9207ea9a97d42e24fde823368f3bff26ad139b599

Observation 16fa5e79-02fd-4214-8200-6825491ebaa8 · outbound

This paper cites an unresolved cited work.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-16T06:03:00.793178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.608605Z digest=sha256:e3eed66f848a818341b8da85e941eb911e2f22a45585ff6dc6632156569ab987

Observation 97be9ee7-00bb-4bd3-9145-e82cec243507 · outbound

This paper cites and Wyart, M.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification and Wyart, M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:03:00.772552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.613823Z digest=sha256:2d2fa52c76834d4338fbddbc6d638be7ca9dd0e008bfa4a2007016e809bb0eb8

Observation d75d5206-7d3f-4118-912c-3d20147dbd9e · outbound

This paper cites The Gaussian min-max theorem in the Presence of Convexity.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification The Gaussian min-max theorem in the Presence of Convexity

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-16T06:03:00.619163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T06:03:00.619163Z digest=sha256:ebf25d237046ce0f14ede8ba4660e67f2d3b884d8b145be8d926d8c55b54d2c9

Observation 1a7719fb-76c4-483e-be12-8bbe5086efd6 · outbound

This paper cites conjugate.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification conjugate

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:03:00.754160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.625072Z digest=sha256:a8eeca42fe34ced8060c7b8437f5513684f53a85e5a4303e417b5e20c9e40a96

Observation bbdb64b3-69ff-41ab-9d22-b9c1510e80a9 · outbound

This paper cites (8.16) Differentiating (5.17) with respect to s gives the following expression.

The Double Descent Behavior in Two Layer Neural Network for Binary Classification (8.16) Differentiating (5.17) with respect to s gives the following expression

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T06:03:00.733824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-16T06:03:00.631354Z digest=sha256:abe4cb1e8f510c1d5fe62ce30259dcca1752ecd8ef41a102e949405197b7e577

Pith citing papers

No inbound Pith citation observations are available.