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Paper Citation Record · LEDGER

On the Convergence Rate of LoRA Gradient Descent

As of 6 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2512.18248.

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

pith.paper-citation-record.v1
2512.18248 v3

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T02:14:38.644041Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T14:08:21.909895Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved0
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 463826d7-3e06-4afd-ba07-271cc6023765 · outbound

This paper cites OLoRA: Orthonormal Low-Rank Adaptation of Large Language Models.

On the Convergence Rate of LoRA Gradient Descent OLoRA: Orthonormal Low-Rank Adaptation of Large Language Models

Reference 1

Resolution
malformed identifier
arxiv_id, observed 2026-05-16T20:28:24.077499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:866fa26130794836a0fd006785a558a05882a8ed7b0df06ff33e002b728ac152

Observation 521b1ce0-4258-4e0e-8008-1f32ad6b5e77 · outbound

This paper cites author Dong, W.

On the Convergence Rate of LoRA Gradient Descent author Dong, W

Reference 2

Resolution
metadata mismatch
arxiv_id, observed 2026-05-16T20:28:23.530368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:9a564547a31fcb71a275d0221e3d741a1a9088e66da4c4f6bbc1d55305dd6deb

Observation 2b744de1-8550-4f23-a8ed-d8d8d8f522f6 · outbound

This paper cites Handbook of Convergence Theorems for (Stochastic) Gradient Methods.

On the Convergence Rate of LoRA Gradient Descent Handbook of Convergence Theorems for (Stochastic) Gradient Methods

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-05-16T20:28:24.084563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:072c9f2d63fb59bec0da7da45ffc91ae0a85ee83396ad4494328466c1d3c70ae

Observation c966dcf7-2f83-4cfa-b9a4-deaea1917ac1 · outbound

This paper cites Jiang, Z., Saadati, N., Balu, A., Pham, M., Waite, J.

On the Convergence Rate of LoRA Gradient Descent Jiang, Z., Saadati, N., Balu, A., Pham, M., Waite, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:31:15.821061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:9e7e5e68ae22ab25a13c28cc588beb14105199317237ab2d2e20f1ede4f37fae

Observation c036b2d3-fb42-4c44-80cf-e94deadfc5d6 · outbound

This paper cites Randomized Asymmetric Chain of LoRA: The First Meaningful Theoretical Framework for Low-Rank Adaptation.

On the Convergence Rate of LoRA Gradient Descent Randomized Asymmetric Chain of LoRA: The First Meaningful Theoretical Framework for Low-Rank Adaptation

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-16T20:28:24.080821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:52661d7dc307b9c0c9e3e2cc128faa900db36bd279cf00783f2b26e02156961a

Observation 91c40aa9-652c-4c99-892f-925a23276c32 · outbound

This paper cites Meng, F., Wang, Z., and Zhang, M.

On the Convergence Rate of LoRA Gradient Descent Meng, F., Wang, Z., and Zhang, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:31:15.804824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:98c0ab87282d2ee9e23c5bef66882ba6ce80d4810f5c72d9833f47f379a0a16f

Observation 481bfce6-d562-4073-96c7-3281cbf51e74 · outbound

This paper cites Generalization Guarantees for Neural Networks via Harnessing the Low-rank Structure of the Jacobian.

On the Convergence Rate of LoRA Gradient Descent Generalization Guarantees for Neural Networks via Harnessing the Low-rank Structure of the Jacobian

Reference 7

Resolution
malformed identifier
local_arxiv, observed 2026-05-16T20:28:23.534767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:117f3ecb45c0df0a00b4fdd81cac36da802da3795d715b8d41845fd19698fc09

Observation c67d68e4-6ed9-49fc-aaad-61956c7824da · outbound

This paper cites Wang, S., Yu, L., and Li, J.

On the Convergence Rate of LoRA Gradient Descent Wang, S., Yu, L., and Li, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:31:15.817295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:ff907ba456ebe997f4ff65533bb563ff10d8515d5a6c8b87ce5505c2b71b4966

Observation 1b31d024-fd13-4761-875f-e47db1035052 · outbound

This paper cites Xu, Z., Min, H., Luo, J., MacDonald, L.

On the Convergence Rate of LoRA Gradient Descent Xu, Z., Min, H., Luo, J., MacDonald, L

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:31:15.807610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:74230f6c8ed9c2863935296e5b4cdbf62e1a9b36b803e6db1e749f42d12c6270

Observation 673ae887-b1b5-4d7b-b804-bb85c4b49430 · outbound

This paper cites Yang, Y ., Long, G., Lu, Q., Zhu, L., Jiang, J., and Zhang, C.

On the Convergence Rate of LoRA Gradient Descent Yang, Y ., Long, G., Lu, Q., Zhu, L., Jiang, J., and Zhang, C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:31:15.824278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:99b0b321addfcf2bdf95e62102cbea765b638eda7e1353ae978ae44f5caeda57

Observation c4a68c96-c561-4a5a-9dfe-f96a9b9e087b · outbound

This paper cites 2023/120.

On the Convergence Rate of LoRA Gradient Descent 2023/120

Reference 11

Resolution
malformed identifier
doi_truncated, observed 2026-05-16T20:28:23.538251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:587c6fa158fa312de5157b122d976fdb0e8e130448f85b823b394e32eb1a3720

Observation 3abca078-de85-458d-97d7-c7da62e313dc · outbound

This paper cites Zhao, J., Zhang, Z., Chen, B., Wang, Z., Anandkumar, A., and Tian, Y.

On the Convergence Rate of LoRA Gradient Descent Zhao, J., Zhang, Z., Chen, B., Wang, Z., Anandkumar, A., and Tian, Y

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:31:15.810563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:a39057cdd45eaeb660a78871524c57121bc3c98c765fa6e8c281f84e954b432f

Observation 91171238-6243-4df5-be1e-98804845d60b · outbound

This paper cites 10 On the Convergence Rate of LoRA Gradient Descent A.

On the Convergence Rate of LoRA Gradient Descent 10 On the Convergence Rate of LoRA Gradient Descent A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:31:15.813450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-16T20:25:58.250270Z digest=sha256:40a4fff4f7382beb21c9ecc7d8305c6931d6156d27b4ca60e2851905edb61232

Pith citing papers

Observation dd13e89a-a9f1-4905-923c-1815f0f4e982 · inbound

High-Dimensional Theory of LoRA Fine-Tuning in a Solvable Attention Model cites this paper.

High-Dimensional Theory of LoRA Fine-Tuning in a Solvable Attention Model On the Convergence Rate of LoRA Gradient Descent

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-02T12:16:57.359976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-28T02:14:38.644041Z digest=sha256:33ff3e17e66b97090253c7a90b8958a0105e60dd1d8cc09dff568768272482c0

Observation f0f8313f-22ae-44f2-a472-3e6231e99fa1 · inbound

The Hidden Power of Scaling Factor in LoRA Optimization cites this paper.

The Hidden Power of Scaling Factor in LoRA Optimization On the Convergence Rate of LoRA Gradient Descent

Reference 93

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T14:08:21.911034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-06-27T07:14:08.479610Z digest=sha256:0c5dbeaf8b8bee4c41f7590eb01237bfd7cb1bd42c2972baace20b19e11edf14