Paper Citation Record · LEDGER

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence

As of 10 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 3 inbound Pith citation observations for arXiv:2502.01434.

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

pith.paper-citation-record.v1
2502.01434 v2

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T15:28:52.066228Z

measured 51 of 51 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:31:52.127881Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T04:43:03.622869Z

Reference resolution

48 of 48 outbound references displayed

verified exact2
verified fuzzy27
unresolved19
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f1a8c9ec-d4e5-43b8-993b-92672fd991d6 · outbound

This paper cites Bae, S.-Y.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Bae, S.-Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.718658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8a2ee367-4322-422e-97b0-7503d96441fb · outbound

This paper cites CBX: Python and Julia packages for consensus-based interacting particle methods.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence CBX: Python and Julia packages for consensus-based interacting particle methods

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-09T15:28:52.738132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e7eadf8f-1bfa-43dd-b54f-438c8bf74634 · outbound

This paper cites Beddrich, E.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Beddrich, E

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-09T15:28:51.300224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11f37721-8c97-4c2e-83af-e16d5f603af3 · outbound

This paper cites Bellavia and G.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Bellavia and G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.708776Z

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Observation 7586b09e-bf59-4eb1-95cd-d90b82305bd8 · outbound

This paper cites Benfenati, G.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Benfenati, G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.698478Z

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Observation 4bc5e5e2-b989-4f9b-80f7-f70bcd9de440 · outbound

This paper cites Blum and A.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Blum and A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.688279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cbc41c33-2fc5-4668-ade6-55536c046436 · outbound

This paper cites Bonandin and M.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Bonandin and M

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-09T15:28:51.545344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c69365f-451d-4793-a6a8-51eae1cef664 · outbound

This paper cites Borghi, M.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Borghi, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.678517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ee837c3c-cba9-4950-ab99-ecc04e9b75b8 · outbound

This paper cites Borghi, M.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Borghi, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.668015Z

Source-reported events for the cited work

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Observation ffe7a855-dd56-4ed3-992e-67f997cc9b1e · outbound

This paper cites Borghi, M.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Borghi, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.658177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ebb43bd5-3739-4f11-8287-a04f7380d8f8 · outbound

This paper cites MirrorCBO: A consensus-based optimization method in the spirit of mirror descent.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence MirrorCBO: A consensus-based optimization method in the spirit of mirror descent

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-09T15:28:51.560805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 484b8474-5503-454e-9c68-52522cfe4496 · outbound

This paper cites Bungert, P.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Bungert, P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.647652Z

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Observation 511dd5b3-776f-4792-9bc8-4b6aa75a3c11 · outbound

This paper cites Byeon, S.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Byeon, S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.637102Z

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Observation c97707ca-fa4a-4732-847c-8b86c650aa7c · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.576683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 36864acd-ec94-4d28-a52b-42ba1d1fb5e1 · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.523037Z

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Observation 93f3b8e7-7cda-495f-9d02-a45e5188f19c · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.465366Z

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Observation e9f8818f-99f8-4186-8b8e-e50b251f6630 · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.432697Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dd3f67eb-6560-4a41-bb45-76e9c80fb5ea · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.421004Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 867e8093-0216-4531-9bc6-d39b6c4c684b · outbound

This paper cites A consensus-based algorithm for non-convex multiplayer games.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence A consensus-based algorithm for non-convex multiplayer games

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-09T15:28:52.358168Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d1106403-837a-4ba1-a24c-0115107fc141 · outbound

This paper cites Cipriani, H.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Cipriani, H

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.410805Z

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Observation 1bf07f03-db9e-4633-8445-7e10a9496ef0 · outbound

This paper cites Constantine and T.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Constantine and T

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.400015Z

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Observation ccf432ab-349b-4e7c-ad46-cdb8161c5d89 · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.390056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 916892e4-dcd9-4e15-824c-9a8d2d4d6d81 · outbound

This paper cites Fornasier, H.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Fornasier, H

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.379872Z

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Observation ab3305ad-2784-4f46-83b0-9556f4191365 · outbound

This paper cites Fornasier, T.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Fornasier, T

Reference 24

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e6b9d8c-5e91-4dfc-a42e-d0b35bdc5b60 · outbound

This paper cites Fornasier, L.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Fornasier, L

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.360171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 105a1043-b920-4ce1-b413-6faf95d7331f · outbound

This paper cites Fornasier, P.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Fornasier, P

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.348323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 30e15f60-f212-46cc-9cde-5bbc71ccf130 · outbound

This paper cites Fornasier and L.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Fornasier and L

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.335891Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 131f1511-1bcb-4590-8aa3-1b87af3f16e4 · outbound

This paper cites Gendreau and J.-Y.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Gendreau and J.-Y

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.323914Z

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Observation 0090af25-76f2-46a8-9865-e8cff1222949 · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 29

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Source-reported events for the cited work

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Observation 24308afa-9a70-4177-b9c0-ea775b7e7a28 · outbound

This paper cites Grassi, H.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Grassi, H

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.310401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation de4e3ce9-86e7-42db-a27a-10f29f790526 · outbound

This paper cites Grassi and L.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Grassi and L

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.270705Z

Source-reported events for the cited work

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Observation 154e4df1-4c17-4e10-a674-cb0b84ede4b7 · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.209250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4e3d5b68-9dcf-4fc4-8e9e-65e195d7b3c5 · outbound

This paper cites Hansen, A.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Hansen, A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.120912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d137f9b8-0eda-44b9-b496-c809cf9257a9 · outbound

This paper cites Herty, Y.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Herty, Y

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.109396Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 531b1afd-9986-4897-bdd5-722f9e703b99 · outbound

This paper cites Huang, J.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Huang, J

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-09T15:28:51.760519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d44d05c-97e7-4845-9448-36f1cddc5863 · outbound

This paper cites Huang, J.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Huang, J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.091421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 28c685ee-a604-469e-bfc4-f90f20a49146 · outbound

This paper cites Fast and robust consensus-based optimization via optimal feedback control.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Fast and robust consensus-based optimization via optimal feedback control

Reference 37

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 593502c1-1690-4638-9c2d-0b26196b0cbd · outbound

This paper cites Jingrun, J.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Jingrun, J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.080696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 03c92a3d-0240-41e2-a564-746be5a163c4 · outbound

This paper cites Kalise, A.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Kalise, A

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.069128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f3d2aa6a-858d-4b0b-970c-39953a49e457 · outbound

This paper cites Klamroth, M.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Klamroth, M

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.059028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 96446a2d-0f31-4777-b9e6-df4667eb0519 · outbound

This paper cites Ko, S.-Y.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Ko, S.-Y

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:53.047587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8ed40c4a-2080-47ee-acb4-eacfcf077f7a · outbound

This paper cites Pinnau, C.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Pinnau, C

Reference 42

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Source-reported events for the cited work

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Observation b03a8736-454d-44b1-883c-e87a393707bc · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.029881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fdbbd3a6-649d-405c-a4c3-f037c5c26f05 · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.019349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 56dc04a7-4039-49a2-a566-398088f9aa44 · outbound

This paper cites an unresolved cited work.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-09T15:28:53.008203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e54d5f14-a9b4-47e3-a964-8dac5d35c0ff · outbound

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Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Totzeck, R

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:52.952086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 85692150-90eb-486b-8b23-76a6843701f1 · outbound

This paper cites Totzeck and M.-T.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence Totzeck and M.-T

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T15:28:52.800424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6d0ac4f0-f7db-4b21-888d-1b5364324a98 · outbound

This paper cites CB$^2$O: Consensus-Based Bi-Level Optimization.

Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence CB$^2$O: Consensus-Based Bi-Level Optimization

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-09T15:28:52.066228Z

Source-reported events for the cited work

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Pith citing papers

Observation c0da9ed4-1a75-44cd-a104-ccfe8eb13b0f · inbound

Consensus-based optimization for closed-box adversarial attacks and a connection to evolution strategies cites this paper.

Consensus-based optimization for closed-box adversarial attacks and a connection to evolution strategies Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T21:31:52.127881Z

Source-reported events for the cited work

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Observation 9359563c-7a1a-4eac-ae2b-a30342e90933 · inbound

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients cites this paper.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T18:33:02.871947Z

Source-reported events for the cited work

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Observation 30dfa641-3d9c-49fa-a749-342db47a6561 · inbound

Convergence of Consensus-Based Particle Methods for Nonconvex Bi-Level Optimization cites this paper.

Convergence of Consensus-Based Particle Methods for Nonconvex Bi-Level Optimization Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence

Reference 152

Resolution: verified exact; arxiv_id, observed 2026-05-20T04:43:03.626021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.