Paper Citation Record · LEDGER

Fully stochastic trust-region methods with Barzilai-Borwein steplengths

As of 19 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2412.12180.

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

pith.paper-citation-record.v1
2412.12180 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:41:30.994313Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:54:33.703397Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T22:54:34.103093Z

Reference resolution

41 of 41 outbound references displayed

verified exact0
verified fuzzy24
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f419439b-18a2-42ed-b21b-b31c3e7eec75 · outbound

This paper cites Barzilai, J.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Barzilai, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.524057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 88438b2d-aaab-4786-bc45-ab009113fb4a · outbound

This paper cites Nocedal, S.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Nocedal, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.513115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a902e1dd-093b-47b0-a965-802fe65070d1 · outbound

This paper cites Nesterov, Lectures on convex optimization, Springer, New Y ork, NY, 2018.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Nesterov, Lectures on convex optimization, Springer, New Y ork, NY, 2018

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.501748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6ec06c1c-d466-4c2a-993f-835a05a6e2d7 · outbound

This paper cites Robbins, S Monro, A stochastic approximation method, The An nals of Mathematical Statistics 22 (1951) 1400–407.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Robbins, S Monro, A stochastic approximation method, The An nals of Mathematical Statistics 22 (1951) 1400–407

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.490475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 787e9772-4284-4590-ba7f-e0798686be89 · outbound

This paper cites Bottou, Y.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Bottou, Y

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.476360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6d9e8833-bb05-4243-ba35-1e545c6066da · outbound

This paper cites Bottou, F.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Bottou, F

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.463566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4dd22c31-7783-4da8-a00e-774ccfe43bbc · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.452310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b0e2839d-e480-436e-865b-837dfc6f36de · outbound

This paper cites Bellavia, B.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Bellavia, B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.440095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 702b8f2d-46c6-4c3f-b14a-53265093907e · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.428813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aca53de7-55a2-4f28-b104-b466d18c1870 · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.416607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eb8d48c6-e10e-4d4f-b028-dd85712696b5 · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.406094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation be727ad4-7935-432b-b9b2-93a3d962ef1f · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.394947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 401bf3ad-ba22-4b01-973d-53418eac42eb · outbound

This paper cites Liang, Y.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Liang, Y

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.383358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 87938c08-9a44-4463-aaef-9eaeefcdc28d · outbound

This paper cites Bellavia, N.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Bellavia, N

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.369986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a33df687-5704-481d-adac-4b9fa81dcbb5 · outbound

This paper cites Kreji´ c, N.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Kreji´ c, N

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.357827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9fd50b88-69a7-4f2c-ac80-3d0e304a99fa · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.346139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7bc0ef57-d956-4a58-a1b4-f3b8fd0e22e6 · outbound

This paper cites Bollapragada, J.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Bollapragada, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.336121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 58406de1-b995-4580-a490-69e4833daf53 · outbound

This paper cites Gower, D.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Gower, D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.324536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6a3515d6-b76d-413c-91fc-1545b5676578 · outbound

This paper cites Mokhtari, A.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Mokhtari, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.311918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 873e14e4-c117-49e4-b5e0-c3bd5195a7fb · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.299183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 05ae1014-8b4a-4629-8c56-805a4966c6cd · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.286449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6f6c1a40-7369-4458-b68f-d9b44207113e · outbound

This paper cites Youseﬁ, ´A.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Youseﬁ, ´A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.273315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 988423d4-b3d3-463a-83aa-a1227364707b · outbound

This paper cites Johnson, T.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Johnson, T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.261635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b34e0a44-35ca-42c9-bf45-399bbb6cd3df · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.249477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c6f763aa-325c-43d3-8172-334a5037a0c2 · outbound

This paper cites Raydan, On the Barzilai and Borwein choice of steplength for the gradient method, IMA J.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Raydan, On the Barzilai and Borwein choice of steplength for the gradient method, IMA J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.236926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5be21796-8d45-4043-87b3-80483a7c603a · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.224286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ba5553aa-115e-4fd6-ad67-cf79010ba82c · outbound

This paper cites Di Seraﬁno, V.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Di Seraﬁno, V

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.211741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 770a6174-ae4e-484c-bbdc-20383c08ffb0 · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.198936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6921d7d7-1110-4472-bbec-01c9ccc3b245 · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.185060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e9982fa3-0605-48ff-939e-22c64f7b4a62 · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.172556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2359c2b6-c73b-4031-ad11-19f7aa417be5 · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.161253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a751e4a9-37b5-4e7b-a02f-cf0a47b0f214 · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.148881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 86c4d0f9-bc00-4f83-8c37-93745d0915c1 · outbound

This paper cites Martens, New insights and perspectives on the natural gra dient method, The Journal of Machine Learning Research 21 (1) (2020) 5776– 5851.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Martens, New insights and perspectives on the natural gra dient method, The Journal of Machine Learning Research 21 (1) (2020) 5776– 5851

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.134999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eb58473b-1f5a-4da0-87a2-56adba9364e5 · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.121432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 06877c4b-4648-4a96-b8de-12628266ef62 · outbound

This paper cites an unresolved cited work.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:41:31.107921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7d0e86fb-5a4d-4d42-af75-94ad06b812e8 · outbound

This paper cites Chang, C.J.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Chang, C.J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.095011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cf309a47-00d5-46eb-b918-831ae3142fc9 · outbound

This paper cites Deng, The MNIST database of handwritten digit images for machine learning research, IEEE signal processing magazine 29 (6) (2012) 141–142.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Deng, The MNIST database of handwritten digit images for machine learning research, IEEE signal processing magazine 29 (6) (2012) 141–142

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.080553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 08a44321-2b2b-492f-9499-2b7257251fc6 · outbound

This paper cites Krizhevsky, G.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Krizhevsky, G

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.065941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 017b210f-8771-4136-a556-7b7def27e74e · outbound

This paper cites Kreji´ c, N.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Kreji´ c, N

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.053289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d770dfc8-31cc-4133-93bc-bc720ed0c173 · outbound

This paper cites Glorot, Y.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Glorot, Y

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.040735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ff1197b0-5b53-439e-aca8-c53c53f38c71 · outbound

This paper cites Franchini, F.

Fully stochastic trust-region methods with Barzilai-Borwein steplengths Franchini, F

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:41:31.027967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 8ade3911-e189-4e9a-8e80-7fe138229545 · inbound

Fast Stochastic Second-Order Adagrad for Nonconvex Bound-Constrained Optimization cites this paper.

Fast Stochastic Second-Order Adagrad for Nonconvex Bound-Constrained Optimization Fully stochastic trust-region methods with Barzilai-Borwein steplengths

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-15T22:54:34.109932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.