Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T21:07:14.463487Z
Paper Citation Record · LEDGER
As of 10 August 2026, this Paper Citation Record lists 100 of 190 outbound references and 2 inbound Pith citation observations for arXiv:2602.22265.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T21:07:14.463487Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-14T22:56:23.337858Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-13T05:52:22.247276Z
100 of 190 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ef243519-4e6b-4d92-a971-657150f06a0c · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 1
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Observation 5d391ffa-51e2-4377-a4b9-bb6da7d88edd · outbound
Entropy-Controlled Flow Matching Numerische Mathematik84(3), 375–393 (2000).https://doi.org/10.1007/s002110050002,https://doi.org/ 10.1007/s002110050002
Reference 2
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Observation 98466e08-c406-432b-9b5d-8d36c9a1e812 · outbound
Entropy-Controlled Flow Matching Communications on Pure and Applied Mathematics44, 375–417 (1991), https://api.semanticscholar.org/CorpusID:123428953
Reference 3
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Observation 972ca104-c57f-4af0-9f41-8f5b28d9ab23 · outbound
Entropy-Controlled Flow Matching In: Bengio, S., Wallach, H., Larochelle, H., Grauman, K., Cesa-Bianchi, N., Garnett, R
Reference 4
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Observation 5ac68bd7-557d-4bda-9525-7d138bd8265e · outbound
Entropy-Controlled Flow Matching IEEE Transactions on Automatic Control62, 2137–2152 (2015),https: //api.semanticscholar.org/CorpusID:15303335
Reference 5
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Observation 502c4cdb-5b87-4c41-bc71-b1323faf9763 · outbound
Entropy-Controlled Flow Matching Journal of Opti- mization Theory and Applications169(2), 671–691 (2016).https://doi.org/10
Reference 6
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Observation 8144d8af-89b3-4adb-a355-8dc77f84a8e0 · outbound
Entropy-Controlled Flow Matching In: Burges, C., Bottou, L., Welling, M., Ghahramani, Z., Weinberger, K
Reference 7
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Observation fbccfaaa-e804-49d8-90cc-09dbef9c49ca · outbound
Entropy-Controlled Flow Matching In: Proceedings of the 35th International Conference on Neural Information Processing Systems
Reference 8
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Observation 241a8f8c-3716-41e4-bf6a-10974814eba1 · outbound
Entropy-Controlled Flow Matching In: Beygelzimer, A., Dauphin, Y., Liang, P., Vaughan, J.W
Reference 9
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Observation e9af5b17-529d-4af1-a1b1-4e1e31c7dd0e · outbound
Entropy-Controlled Flow Matching Inventiones Mathematicae98(3), 511–548 (1989).https://doi
Reference 11
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Observation e756a206-76dd-4d2a-9b35-bd29a75d91f0 · outbound
Entropy-Controlled Flow Matching Proceedings of the National Academy of Sciences72(3), 780–783 (1975).https://doi.org/10.1073/pnas.72.3.780, https://www.pnas.org/doi/abs/10.1073/pnas.72.3.780
Reference 12
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Observation 58720686-608a-4968-b6ea-34f6759b06be · outbound
Entropy-Controlled Flow Matching In: International Conference on Artificial In- 16 C
Reference 13
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Observation c80588a1-7b76-4604-9feb-c852fc0314aa · outbound
Entropy-Controlled Flow Matching In: Ghahra- mani, Z., Welling, M., Cortes, C., Lawrence, N., Weinberger, K
Reference 14
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Observation a3a39457-5b67-45b0-8232-5dab487e5bdd · outbound
Entropy-Controlled Flow Matching In: International Confer- ence on Learning Representations (2019),https://openreview.net/forum?id= rJxgknCcK7
Reference 15
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Observation da670372-0634-4309-8716-1283811e7b3a · outbound
Entropy-Controlled Flow Matching Annals of Mathematics20(4), 292–296 (1919), http://www.jstor.org/stable/1967124
Reference 16
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Observation 01a136a3-f268-4f34-b0d7-3d0d3f56e29f · outbound
Entropy-Controlled Flow Matching In: Larochelle, H., Ranzato, M., Hadsell, R., Balcan, M., Lin, H
Reference 17
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Observation b7030ba1-cfbe-4c5d-8508-3e34aca8b8ce · outbound
Entropy-Controlled Flow Matching Journal of the American Statistical Association58(301), 13–30 (1963).https://doi.org/10.1080/01621459.1963.10500830,https://doi.org/ 10.1080/01621459.1963.10500830
Reference 18
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Observation 49278a99-469f-4d67-b2d5-de0175ebfd63 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8a10e534-344e-4fb9-884b-11ffce83fe78 · outbound
Entropy-Controlled Flow Matching In: Koyejo, S., Mohamed, S., Agar- wal, A., Belgrave, D., Cho, K., Oh, A
Reference 20
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Observation 8183ffc9-a29d-4f1f-a1c5-d9040c736ae8 · outbound
Entropy-Controlled Flow Matching Physica Scripta98(10), 104001 (sep 2023).https: //doi.org/10.1088/1402-4896/acf251,https://doi.org/10.1088/1402-4896/ acf251
Reference 21
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 85bca487-87ab-476b-8aba-4e7a346e80a6 · outbound
Entropy-Controlled Flow Matching Universitext, Springer London, London, 1 edn
Reference 22
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Observation ebb722cb-f298-4f76-8655-01cc1b0b2680 · outbound
Entropy-Controlled Flow Matching In: Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950
Reference 23
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Observation 21834361-7fd8-4194-a963-9a33d1bbf29d · outbound
Entropy-Controlled Flow Matching In: Proceedings of the 33rd In- ternational Conference on Neural Information Processing Systems
Reference 24
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Observation b42d1569-9fd1-4d7f-be00-ee8310fe8e21 · outbound
Entropy-Controlled Flow Matching arXiv: Optimization and Control (2010),https://api.semanticscholar.org/ CorpusID:119683072 Entropy-Controlled Flow Matching 17
Reference 25
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Observation 3df5a9d4-87d2-4036-a50a-5cf53e383971 · outbound
Entropy-Controlled Flow Matching In: Meila, M., Zhang, T
Reference 27
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Observation de94ac5e-d16a-44cd-80f8-0eb1a095ce00 · outbound
Entropy-Controlled Flow Matching In: The Eleventh International Conference on Learning Representations (2023),https://openreview.net/forum?id=PqvMRDCJT9t
Reference 28
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Observation f4f67d15-1523-494c-b151-e78c5d3481fc · outbound
Entropy-Controlled Flow Matching SIAM Journal on Numerical Analysis60(3), 1385–1449 (2022).https://doi.org/ 10.1137/20M1344986,https://doi.org/10.1137/20M1344986
Reference 29
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 33cb2fc2-cf79-43d9-b87f-abf5a001ae45 · outbound
Entropy-Controlled Flow Matching Learning High Dimensional Wasserstein Geodesics
Reference 30
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Observation 97c82747-5461-4ae6-9b78-a1203b33d0a2 · outbound
Entropy-Controlled Flow Matching In: The Eleventh International Conference on Learning Representations (2023),https://openreview.net/forum?id=XVjTT1nw5z
Reference 31
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Observation 0b472da6-0231-44bd-84aa-159b35540d65 · outbound
Entropy-Controlled Flow Matching Discrete and Continuous Dynamical Systems34(4), 1533–1574 (2014).https://doi.org/10.3934/dcds.2014.34.1533,https://www
Reference 32
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Observation 10d16ad6-3341-4591-a399-96ac07beb0e8 · outbound
Entropy-Controlled Flow Matching Advances in Mathematics128(1), 153–179 (1997).https://doi.org/https://doi.org/ 10.1006/aima.1997.1634,https://www.sciencedirect.com/science/article/ pii/S0001870897916340
Reference 33
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Observation aefa33d3-d467-496e-8066-29b4a65b3980 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 34
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Observation 6be4c4c3-97e3-478c-bd2f-31bdb67a0b9f · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 35
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Observation 64e77e03-a63e-4600-ac47-e977ab285371 · outbound
Entropy-Controlled Flow Matching Journal of Machine Learning Research24(374), 1–51 (2023),http://jmlr.org/papers/v24/23-0527.html
Reference 36
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Observation a062b550-ec54-4999-a3f8-fdaa2972a5ca · outbound
Entropy-Controlled Flow Matching American Journal of Mathematics12(3), 211–294 (1890),http://www.jstor.org/ stable/2369620
Reference 37
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Observation 67e6e955-bda8-4d25-886a-dd4bf8a5ad83 · outbound
Entropy-Controlled Flow Matching Siberian Mathematical Journal8(5), 801–816 (Sep 1967).https: //doi.org/10.1007/BF01040656,https://doi.org/10.1007/BF01040656
Reference 38
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Observation 184f4094-46c0-4ceb-ac40-7fdb6db064d9 · outbound
Entropy-Controlled Flow Matching In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)
Reference 39
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Observation 3f15553c-0304-4d80-8b51-9ebfae8c2776 · outbound
Entropy-Controlled Flow Matching In: Oh, A., Naumann, T., Globerson, A., Saenko, K., Hardt, M., Levine, S
Reference 40
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Observation 79a2a2ed-3551-4170-a6c4-1c98def5a1af · outbound
Entropy-Controlled Flow Matching In: Krause, A., Brunskill, E., Cho, K., Engelhardt, B., Sabato, S., Scarlett, J
Reference 41
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Observation e6f5c390-17cb-4ee0-b029-8f2b5641044a · outbound
Entropy-Controlled Flow Matching In: Interna- tional Conference on Learning Representations (2021),https://openreview.net/ forum?id=PxTIG12RRHS
Reference 42
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Observation 41ac778e-b7de-4496-914f-1f58ab9a0aef · outbound
Entropy-Controlled Flow Matching Probability Theory and Related Fields97(4), 515–542 (Dec 1993).https://doi.org/10.1007/BF01192962,https://doi.org/10.1007/ BF01192962
Reference 43
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Observation 47c43490-0526-4b16-bcee-b7247e1d988e · outbound
Entropy-Controlled Flow Matching In: Dasgupta, S., Mandt, S., Li, Y
Reference 44
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Observation 1dd3e756-ead4-43be-b42f-a0b3dfa50e15 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 45
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Observation ad32c1d4-93dc-4f63-8535-92ebc71ae4b7 · outbound
Entropy-Controlled Flow Matching Pro- ceedings of the Royal Society of London Series A87(594), 225–229 (Aug 1912)
Reference 46
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Observation 77a4c7e1-fd2b-49b0-9ea8-09331473c7d2 · outbound
Entropy-Controlled Flow Matching Moreover, among all such v, there exists a unique (a.e
Reference 49
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Observation ab24c19e-b455-412b-8929-361890c883cb · outbound
Entropy-Controlled Flow Matching t∈(0, T)
Reference 50
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Observation e67690bc-f451-4f7b-8bff-47a02514bf00 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 51
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Observation 726073d4-d64d-446a-bae7-017db237b62a · outbound
Entropy-Controlled Flow Matching Proof.(1 ⇒2): Integrate ˙h+λ≥0 over [s, t]
Reference 52
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Observation 8a625429-dce6-444b-a2f8-541755987f80 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 53
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Observation 56c2eedf-fc3a-4b0b-90d0-37df369a0067 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 54
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Observation 0f5c61a9-b444-4e2b-b071-15c6d44d313d · outbound
Entropy-Controlled Flow Matching along interpolation: det (1−t)I+tDT(x) >0, µ 0-a.e.,∀t∈(0,1)
Reference 55
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Observation 9ea13eb9-8eb6-4df7-b84b-39d2f39a8b37 · outbound
Entropy-Controlled Flow Matching Hence µ⋆ 0 =µ ⋆ 1
Reference 56
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Observation bef3d558-28fc-4ee9-88a2-6fbd8bf966f5 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 57
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Observation ffa3e6aa-ca34-4e73-a9ee-f7cf66c29758 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 58
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Observation b60a18e3-692a-4e3c-a425-96a4587c5557 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 59
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Observation 7b1d73b0-fc05-410a-80ca-1fb53533a8fc · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 60
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Observation c8cafc15-0e1d-43b3-a369-51144bb393dd · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 61
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Observation 391d126a-329e-4161-8adc-5e7dd026c91b · outbound
Entropy-Controlled Flow Matching Entropy-Controlled Flow Matching 39 Lemma 7 (Pointwise Jacobian representation along geodesic).Let T= ∇ψ be Brenier map µ0 7→µ 1, and Xt(x) := (1−t)x+tT(x), µ t = (Xt)#µ0
Reference 62
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Observation d0cf586e-aa5e-4147-8269-87f5c2dcb974 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 63
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Observation d3359dca-1567-4ed2-9e78-f80aa967dbe4 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 64
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Observation 81a779e3-5c1e-4f4b-884e-a323bc977854 · outbound
Entropy-Controlled Flow Matching Set µt =ρ t dx
Reference 65
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Observation 425f32c8-f177-495f-a16e-f50dfc19628c · outbound
Entropy-Controlled Flow Matching Unresolved cited work
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Observation f4c6c7b4-2298-4b10-ab6d-fa75c18b85e0 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 67
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Observation 327abafb-61cd-4633-8532-ea8132ea481f · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 68
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Observation 16b33add-8e3f-4515-b03a-be2e085e8699 · outbound
Entropy-Controlled Flow Matching Then (ECFMλ) admits at least one minimizer
Reference 69
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Observation 96b3e1ea-8f29-49c6-9097-823b30fecf57 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 70
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Observation 97f6c2f5-756b-41bf-8dfd-a20be2afef8d · outbound
Entropy-Controlled Flow Matching in (µ, m=vµ)
Reference 71
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Observation ab8261d1-4854-42f3-ba5a-b5949b060278 · outbound
Entropy-Controlled Flow Matching Definition 25 (F easible cone and critical directions).Let (µ⋆, v⋆)∈A λ
Reference 72
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Observation 82422246-ec50-4cf1-8bb2-270939b49b8a · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 73
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Observation 1786d2c4-9bb0-492e-8bf6-92185dc12a76 · outbound
Entropy-Controlled Flow Matching on{t: ˙H(µ⋆ t ) +λ= 0}, where δHt = Z 1 + logρ ⋆ t d(δµt) (µ ⋆ t =ρ ⋆ t dx)
Reference 74
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Observation 771c0d6c-ac94-4a3f-83a7-8a692c90fdfe · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 75
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Observation b96cd43d-4bb4-4faf-97ab-f1be51bb05a9 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
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Observation 3a132834-b837-4e7d-9100-95e7e55f6a2e · outbound
Entropy-Controlled Flow Matching Unresolved cited work
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Observation 7b1b6f4b-6f80-4bcb-9151-389187b51bde · outbound
Entropy-Controlled Flow Matching Unresolved cited work
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Observation b401874f-e359-48f6-9448-2d1ae1d4e8a0 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 79
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Observation a6c3ed44-efd1-49c4-aa4d-ee5ab1c69c9c · outbound
Entropy-Controlled Flow Matching In this appendix we use the first route for clean closed dual constraints
Reference 80
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Observation b8866b0b-6562-4510-a788-34459eccf97a · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 81
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Observation 5668c782-2cde-4ae6-b14f-8d3643ccdfb1 · outbound
Entropy-Controlled Flow Matching of primal integrand in (ρ, m)
Reference 82
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Observation caca3780-b918-4edc-a3a6-1834c8dfb599 · outbound
Entropy-Controlled Flow Matching Then Dred λ =V λ
Reference 83
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Observation f0876be4-8747-4543-9541-f4b9d41a4baf · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 84
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Observation e64a53f3-3a99-4d5f-b423-611126d78fb5 · outbound
Entropy-Controlled Flow Matching Therefore C.3–C.6 provide equivalent primal-dual characterizations of entropy- controlled flow matching
Reference 85
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Observation 289e29ac-b883-4ad8-84d9-0a11b555f92b · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 86
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Observation 1fe61a69-9452-455d-b9fb-d55a54f0afed · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 87
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Observation dea5672e-720a-4825-91b3-0a7258972728 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 88
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Observation 0acc69aa-0f18-4a7e-8eb0-c6c4158a2848 · outbound
Entropy-Controlled Flow Matching R0, RT are finite
Reference 89
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Observation 241c9cdf-54ec-484d-8ccc-0ca5af73b989 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 90
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Observation 22ade545-e5f4-43d9-bfa2-b42030d471cc · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 91
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Observation 13615377-1f41-415f-a4f5-ca0bd1afd03f · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 92
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Observation 3cbcc10e-6f42-4a19-a416-fa4b9a837e3d · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 93
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Observation 4ce99763-2085-4323-9519-6a6e21673cc3 · outbound
Entropy-Controlled Flow Matching Definition 39 (Primal values).Define ECFM value Vλ := inf (µ,v)∈Aλ 1 2 Z T 0 Z |v−u ⋆|2 dµ dt, and KL-control value Kε := inf w:P w 0 =µ0, Pw T =µT KL(P w∥R⋆)
Reference 94
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Observation 9c3c6b72-ad27-45ea-9bfd-846eab265bfd · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 95
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Observation fd5681dc-7a2b-4a1c-ae2c-ca78bd6a72b1 · outbound
Entropy-Controlled Flow Matching Proof.Given (ρ, v), define w=v−u ⋆ +ε∇logρ
Reference 96
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Observation 14dfd0f5-ac25-46c0-adb1-4370666579ad · outbound
Entropy-Controlled Flow Matching Unresolved cited work
Reference 97
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Observation 6f8aad38-a6a9-414b-a2e3-907c6268ad64 · outbound
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Reference 98
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Observation 758c687b-d1d4-47ab-bcdc-c3fc6af010e5 · outbound
Entropy-Controlled Flow Matching equivalence to Schr¨ odinger bridge under entropy control
Reference 99
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Observation 7a0b00e3-40fa-4421-8a4d-2a3ff4bfab85 · outbound
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Entropy-Controlled Flow Matching Unresolved cited work
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Observation 41c8b83c-7b70-486d-95b5-18c15523e225 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
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Observation c127e96d-b2bb-4c5b-a68d-63cedc7a59a3 · outbound
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Observation d44eb94b-1b80-44ca-8d51-0ecdd951d285 · outbound
Entropy-Controlled Flow Matching Unresolved cited work
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Observation 883cfd76-4e60-49d5-b6de-dcafc9383350 · inbound
Event-Driven Video Generation Entropy-Controlled Flow Matching
Reference 18
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Observation 64c515a9-e67a-475d-9192-bfe6a9620511 · inbound
When Policy Entropy Constraint Fails: Preserving Diversity in Flow-based RLHF via Perceptual Entropy Entropy-Controlled Flow Matching
Reference 45
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