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Paper Citation Record · LEDGER

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization

As of 9 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2511.21466.

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

pith.paper-citation-record.v1
2511.21466 v3

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T20:04:44.818787Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T13:31:32.846894Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

57 of 57 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved57
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa97d97d-8e55-49c8-9713-9f12500e93bd · outbound

This paper cites Ambrosio, N.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Ambrosio, N

Reference 1

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T20:04:44.601539Z digest=sha256:7764f1c61287e2fca1542e5afe83769f4622df945313997bfca7f795f7dcce43

Observation 367b9a86-b4c4-416a-8102-247cc6cbcc7b · outbound

This paper cites Bach and L.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Bach and L

Reference 2

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source=pdf_text observed=2026-08-03T20:04:44.606546Z digest=sha256:772c0d18fde931a541493c0fe1877a8ba964cdb5dde8b2b915e0945d0815e3b4

Observation 3302ba29-90e7-4624-a533-d5ff41627be4 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-03T20:04:44.610594Z digest=sha256:a34740b17898019def6808f74732693e5a87b16dae7164d761681019d0afc622

Observation 4461a185-c00e-4a85-a6c6-129f10e9d3f7 · outbound

This paper cites Beiglb¨ ock, G.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Beiglb¨ ock, G

Reference 4

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source=pdf_text observed=2026-08-03T20:04:44.614493Z digest=sha256:b363d41a496ada207159fdce9356dcf38f48cbfb86750d88a3958f42e8df1ed5

Observation 57071c93-de7f-4142-adf1-820be7f2e58b · outbound

This paper cites Bengio, P.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Bengio, P

Reference 5

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source=pdf_text observed=2026-08-03T20:04:44.618543Z digest=sha256:4ec107b9fa0f9d4105b099df182fd54c76c4d5f22c5c00327d4a5b7f097eca09

Observation dc1cc31b-bd71-43b8-aaa0-39ff5e948360 · outbound

This paper cites Bonet, C.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Bonet, C

Reference 6

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source=pdf_text observed=2026-08-03T20:04:44.622441Z digest=sha256:d7384e83e2c7a396b46ac0bf0e6d15007ddb1d42ec090e642419ef8e4495e380

Observation 6859c1ea-e353-4d30-93b8-95f240d30723 · outbound

This paper cites Borghi, M.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Borghi, M

Reference 7

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Observation 93fdf527-7621-492d-b4e1-1de9e973acd6 · outbound

This paper cites Borghi, M.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Borghi, M

Reference 8

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Observation 83e3ced3-bb3b-44fe-b5b5-4dd512a36a92 · outbound

This paper cites Borghi, M.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Borghi, M

Reference 9

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source=pdf_text observed=2026-08-03T20:04:44.634230Z digest=sha256:0b438962554d029ffe83a751c0683b1930603e08fed91c657075f6376470c93c

Observation c95e1139-ab50-4179-b11a-279d6f6dcf7e · outbound

This paper cites B¨ ottcher and T.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization B¨ ottcher and T

Reference 10

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Observation ede3c82c-5dd3-47bc-86af-6c447c72d9c6 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 11

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Observation 4058de61-30bb-4a81-a6d8-9b3c585d5a4f · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 12

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Observation 40802c98-764c-4fa3-ad17-7e34ce43b25c · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 13

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Observation 29745717-f3d8-4934-9824-2499ec7e3951 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 14

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Observation 49794805-ca96-4161-8aa3-5e87e8e20a77 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 15

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Observation 30b5465a-14a7-4347-a6e4-7aa0b3245f77 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-03T20:04:44.660336Z digest=sha256:0d1f4419e2b59f1923c5b200c921d2f4a101bce1822680d78ea91a19c7331eb5

Observation cf2588d7-82c4-47fc-be94-c28e44ad966c · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-03T20:04:44.663895Z digest=sha256:47891506dfddaa1e393f4a40e026ec977f4730f073bd5e042ea3266120840a3b

Observation a87e0224-9fdc-4212-8138-102f74bdb763 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 18

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Observation 4f5fd61c-65b3-400b-85a7-9701e6982010 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 19

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Observation 582f6715-a974-4a43-8196-1790c5b269d8 · outbound

This paper cites Chizat and F.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Chizat and F

Reference 20

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Observation 21c01044-753e-4307-ac3b-a8543f3134b4 · outbound

This paper cites Cuturi and A.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Cuturi and A

Reference 21

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Observation e2e70fec-22ec-4df0-a264-0aaa7d7d22a0 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 22

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Observation 78f1d9e0-6b83-43b8-9dde-86b5ddc82a03 · outbound

This paper cites Dembo and O.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Dembo and O

Reference 23

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Observation 50c49839-d430-4cc9-99eb-2b3a2a81da6f · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 24

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Observation 66505a2c-fe61-4a93-8ffa-b7821b076bbf · outbound

This paper cites Fornasier, T.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Fornasier, T

Reference 25

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source=pdf_text observed=2026-08-03T20:04:44.694543Z digest=sha256:06bb5e4f08853a484ff9745c05ab2f1cc7ea4f398bd04c3852640bf7ac54d4e0

Observation 4258dd20-e82b-4536-8cda-81d7b87a73fa · outbound

This paper cites Fornasier, T.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Fornasier, T

Reference 26

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Observation d41ad397-3c33-40d7-a784-a83c811715ca · outbound

This paper cites Fornasier, L.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Fornasier, L

Reference 27

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Observation ea93af37-672e-471b-9ab9-b19cff9294d2 · outbound

This paper cites Gerber, F.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Gerber, F

Reference 28

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Observation d2e7d1b1-829a-4634-927e-d6e719617718 · outbound

This paper cites Glorot and Y.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Glorot and Y

Reference 29

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Observation 2cf43faf-fa48-4ee3-8914-67d14e698d9c · outbound

This paper cites Goodfellow, Y.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Goodfellow, Y

Reference 30

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Observation 1a00439e-5716-4165-a966-632adacc5347 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 31

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Observation 2980eebd-ce05-480c-9a51-461ed2855be7 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 32

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Observation acecaa99-cc73-4eb4-9234-98bbb08e6fe5 · outbound

This paper cites Hochreiter and J.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Hochreiter and J

Reference 33

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Observation d4685ce5-0b42-46d2-9471-9eac6f2ea065 · outbound

This paper cites Hornik, M.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Hornik, M

Reference 34

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Observation 6209ba97-af03-4fbb-99de-555429527d0c · outbound

This paper cites Huang and J.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Huang and J

Reference 35

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Observation 245e6a21-b426-446c-a5d3-a3e750bdfe12 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 36

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Observation 2733ffcb-173e-4ee3-827b-72817aefea48 · outbound

This paper cites On the mean field limit of consensus based methods.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization On the mean field limit of consensus based methods

Reference 37

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Observation 0e3b3389-17ea-4f67-bc20-2d9c64770c52 · outbound

This paper cites Krizhevsky, I.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Krizhevsky, I

Reference 38

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Observation 6d6f1012-8d1f-4458-a622-8a693c6afb4c · outbound

This paper cites LeCun, Y.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization LeCun, Y

Reference 39

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Observation 3942b95a-b6c6-4886-8378-f3add9749a07 · outbound

This paper cites LeCun, C.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization LeCun, C

Reference 40

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Observation 208b4f2e-a548-40d0-89ac-e26d48127e25 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 41

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Observation 320303f7-3b79-4d71-8180-0ff1821bbd0c · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 42

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Observation 9de371eb-f011-4c34-8e2f-891796700432 · outbound

This paper cites Nguyen and H.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Nguyen and H

Reference 43

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Observation 96d4c506-4567-40ad-9c66-1830870b2e9f · outbound

This paper cites Nocedal and S.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Nocedal and S

Reference 44

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Observation 9deadefd-0d3c-428c-b8e0-14910edffad4 · outbound

This paper cites Pascanu, T.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Pascanu, T

Reference 45

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Observation 8e236206-b5ff-40cb-9696-291ef620041d · outbound

This paper cites Paszke, S.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Paszke, S

Reference 46

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Observation e4fe301d-b180-4a83-9a50-b8b683673dae · outbound

This paper cites The exploding gradient problem demystified - definition, prevalence, impact, origin, tradeoffs, and solutions.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization The exploding gradient problem demystified - definition, prevalence, impact, origin, tradeoffs, and solutions

Reference 47

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Observation bea6e381-424a-47fa-811c-aeb801db09a5 · outbound

This paper cites Pinnau, C.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Pinnau, C

Reference 48

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Observation 8b8ae655-ee94-4c35-af4c-c55754962592 · outbound

This paper cites Totally convex functions, $L^2$-Optimal transport for laws of random measures, and solution to the Monge problem.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Totally convex functions, $L^2$-Optimal transport for laws of random measures, and solution to the Monge problem

Reference 49

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Observation 463e0531-134c-4a8d-bc6f-7f8685a77072 · outbound

This paper cites Raissi, P.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Raissi, P

Reference 50

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Observation 2280687f-9d0c-4306-8e51-5df71ddbecf4 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 51

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Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Sirignano and K

Reference 52

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Observation 73a55e10-0b80-42da-a55b-a7d04fc767d0 · outbound

This paper cites Sirignano and K.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Sirignano and K

Reference 53

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Observation c99cc97b-cc16-46ef-b4b6-e34949773576 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 54

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This paper cites A consensus-based optimization method for nonsmooth nonconvex programs with approximated gradient descent scheme.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization A consensus-based optimization method for nonsmooth nonconvex programs with approximated gradient descent scheme

Reference 55

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This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 56

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Observation 318fa572-6f42-436c-ae1a-3c3243574fe9 · outbound

This paper cites an unresolved cited work.

Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization Unresolved cited work

Reference 57

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Pith citing papers

Observation 5ea802e1-8f6a-489b-8b01-b66be200d0ea · inbound

Exploiting Structure with Anisotropic Consensus-Based Optimization cites this paper.

Exploiting Structure with Anisotropic Consensus-Based Optimization Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization

Reference 40

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