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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.506402Z digest=sha256:d83e5aaef2f854065d76a239e17983d071dc59e1bb3f567745b63d94426f588c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.519972Z digest=sha256:ac57806551d8a4450d509d32cede6ab4912025a4429175a22648fa00722f4f81

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.531693Z digest=sha256:596f21fff5fb07a492e0b0cee77167744e3f50dd3f28142a4799546680914526

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.538353Z digest=sha256:3886eddcf00ad64db1c7a9e8019dbc712074ea362769eeb1195d3891bd47d84c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.544471Z digest=sha256:87bff11f0fcb97e017bd21e543ad91047f3e02b5c2aa33bae08e6fca4221c7e6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.550999Z digest=sha256:401e1cf7d84e9bca938e72209c075670ddafaafc0f09cc3ef8be86c8ea4cda25

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.556905Z digest=sha256:a29c7c27c496cdb67190d76491a768e275726444b2aa517313ec84fb177c3faa

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.562641Z digest=sha256:1b64e5cc4e243dc159dc46ad3ed013ec46008eaaa74de82bcadb1c3aea6cf3f9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.568286Z digest=sha256:bf52e11583df01a666f367bce3eeb8a5644e630790fb84a7b6feed6e5e58f733

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.573820Z digest=sha256:62c4fca87af4dff21d3e1282f29f11b17a88f698afc578a83e32fde85b255d00

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.579345Z digest=sha256:cf85d63f7f8a913ec891f5e53f3c251455419e324268fd1dc7f8770ce1fea3ed

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.584906Z digest=sha256:8ad29e31c4ee0dd12b31aed012d955ab87153c195bba974f72ce9894bf95c25e

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=sha256:425edcd9102e03157f7d371bebc2831222586792d56fd6969e96fe80f1527857

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.595948Z digest=sha256:ef8801a53eebfb497af5c34133f7a7adcf188535a2fefe4b84131c32b070a686

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:f481357c7fc60b5b3711c62c2d4fa5e80bb8f0a800bb911091c6f0dcead4fa2b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.608605Z digest=sha256:8664d55018e40d1e6a189eb25bd7d7fa9e0d2148fb55c485f056915f52dab097

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.613823Z digest=sha256:c41c8207d7ead2e6cfcd37660fc96862cde4c86978ddfcdb4d075e408b57f0f5

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=sha256:70a1e507f34a879c2dfaf96c47eba0d9a6340e5ec32c05a317a85842ed521b95

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.625072Z digest=sha256:66635264af3aecf7e28ea8e4be0697d07be0c61a7531ac52e43342deba1dfeba

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T06:03:00.631354Z digest=sha256:9b5d27b4e93ac3f696d4c4391d0a6c098630c1a2deee0ab97335c69e460719e4

Pith citing papers

No inbound Pith citation observations are available.