Paper Citation Record · LEDGER

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates

As of 11 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.07623.

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

pith.paper-citation-record.v1
2607.07623 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T05:04:06.118563Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

verified exact11
verified fuzzy16
unresolved17
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External citation measurements

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Outbound references

Observation 8784cbe8-ac01-4732-8d39-dc1f8878f6de · outbound

This paper cites Boyd and L.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Boyd and L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.190055Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 39fdc079-32c1-4cf7-91f8-d6da4fff258c · outbound

This paper cites Old Optimizer, New Norm: An Anthology.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Old Optimizer, New Norm: An Anthology

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:05:58.916672Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9921bacb-3eaf-4623-b471-1e7cf9d946cd · outbound

This paper cites Balles and P.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Balles and P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.128996Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2b73d25d-3ff1-474a-9ccf-d5568b1b1974 · outbound

This paper cites Amari, Natural gradient works efficiently in learning, Neural Computation10, 251 (1998).

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Amari, Natural gradient works efficiently in learning, Neural Computation10, 251 (1998)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.135475Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 12844c27-0a1a-4005-999f-ff02c9cb89c7 · outbound

This paper cites Martens, New insights and perspectives on the natural gradient method, Journal of Machine Learning Research21, 1 (2020).

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Martens, New insights and perspectives on the natural gradient method, Journal of Machine Learning Research21, 1 (2020)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.130766Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1ce36647-5e3c-4367-9c2b-d46de5290041 · outbound

This paper cites Levenberg, A method for the solution of certain non-linear problems in least squares, Quarterly of applied mathematics2, 164 (1944).

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Levenberg, A method for the solution of certain non-linear problems in least squares, Quarterly of applied mathematics2, 164 (1944)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.131642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ecb7981f-431c-4e7c-a502-98e1f1c4e7b7 · outbound

This paper cites 1963 An Algorithm for Least-Squares Estimation of Nonlinear Parameters.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates 1963 An Algorithm for Least-Squares Estimation of Nonlinear Parameters

Reference 7

Resolution: verified exact; doi, observed 2026-07-09T05:05:58.865011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 21ba6fbf-84df-4e99-8089-4220b61a2acb · outbound

This paper cites Journal of the Royal Statistical Society: Series B (Methodological) , volume =.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Journal of the Royal Statistical Society: Series B (Methodological) , volume =

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-09T05:05:58.860447Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fd75a948-b846-4cd8-91a5-a7057191c3da · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.153220Z

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Observation 57b8fa72-ac6c-4f64-abab-d7014575cdf2 · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.129901Z

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Observation 72cdb20d-07eb-4e63-8171-12dba81f0706 · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.124204Z

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Observation d68f2e39-c28a-425e-b9cf-e1f10422d7d1 · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.151286Z

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Observation 17358310-0056-4d5c-ac97-ff5caec00bec · outbound

This paper cites Higher-Order Corrections to Optimisers based on Newton's Method.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Higher-Order Corrections to Optimisers based on Newton's Method

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:05:58.929613Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 81d752d4-84be-4864-927f-e47982e1e887 · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.156047Z

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Observation de6a6765-cdf5-4a8d-b7cb-541b1f6fdbba · outbound

This paper cites A note on Riemann normal coordinates.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates A note on Riemann normal coordinates

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:05:58.920423Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c45cdc8c-ff0d-4f33-a7ab-b7d6c87e8b1c · outbound

This paper cites Krishnapriyan, A.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Krishnapriyan, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.145116Z

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Observation b8bc3b8d-8266-4eab-85fb-7e81a8f09824 · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.140289Z

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Observation f146664e-d7e3-409c-8580-79fa63bf8668 · outbound

This paper cites Rathore, W.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Rathore, W

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.143055Z

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Observation 17b49b82-06aa-4166-b323-656ed256e77d · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.120052Z

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Observation 3c02f346-a89d-4d52-9d91-c771c2aaabab · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.188169Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 54a5be5a-bc45-4d4e-8e56-042f0084a8c3 · outbound

This paper cites Le Boudec, E.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Le Boudec, E

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.161503Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5e50c3f4-398b-4f11-bcd1-dc63bf533b17 · outbound

This paper cites Bonfanti, G.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Bonfanti, G

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.180201Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9f3e4ba7-3589-4b5f-90c4-62277d8e9ecb · outbound

This paper cites PINNs Failure Modes are Overfitting.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates PINNs Failure Modes are Overfitting

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:05:58.919187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6d7cd501-fe35-42bf-a6eb-8190af75ae3a · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.178289Z

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Observation de10473a-8995-4c73-aca0-a52405eaa8f5 · outbound

This paper cites Fu and D.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Fu and D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.176197Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6aeba1b4-eca4-472b-bf5e-ba4e98fb4bb4 · outbound

This paper cites Martens and R.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Martens and R

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.173765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 70cc6416-d46e-49f7-ace8-0d5bd1c0e3d7 · outbound

This paper cites Frangella, J.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Frangella, J

Reference 28

Resolution: verified exact; doi, observed 2026-07-09T05:05:58.864176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation dc504f4b-7b61-4bb4-954b-c37e5614deb5 · outbound

This paper cites Improvements to the Levenberg-Marquardt algorithm for nonlinear least-squares minimization.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Improvements to the Levenberg-Marquardt algorithm for nonlinear least-squares minimization

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:05:58.924860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2c710edd-2572-48a5-a73a-3a9fd068ef42 · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.171664Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 30c73e76-6e16-4f6f-83fb-b5f4312df510 · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.168999Z

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Observation 1ab6bb55-39ca-400b-9d5c-896fc6b3234d · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.166121Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0ddc51be-6c76-4565-a348-80744d561269 · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.163720Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3ec0191c-0e87-4b60-95eb-24e93d79b0fc · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.149239Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7186e6e2-2b94-453f-979f-a21101caf33f · outbound

This paper cites The Full Spectrum of Deepnet Hessians at Scale: Dynamics with SGD Training and Sample Size.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates The Full Spectrum of Deepnet Hessians at Scale: Dynamics with SGD Training and Sample Size

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:05:58.917942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 66fb354f-da29-4906-8a35-504637a183ba · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.159068Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4e43c2e4-4de6-4ef9-9666-a5682c8b8976 · outbound

This paper cites Santurkar, D.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Santurkar, D

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.154152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d1702707-8961-433e-8c37-a29989b0088a · outbound

This paper cites LeCun, L.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates LeCun, L

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.141035Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5e79bdcc-0099-4a4f-ae31-0a008f14bb8d · outbound

This paper cites Layer Normalization.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Layer Normalization

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:05:58.906448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d810ea17-3c45-49fc-a55f-33855ec4aa8a · outbound

This paper cites Fixup Initialization: Residual Learning Without Normalization.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Fixup Initialization: Residual Learning Without Normalization

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:05:58.926108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation afd0dca0-a599-4c96-9e19-1e9d6d134f03 · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.184825Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2712ced6-4d76-472e-9b7f-7ff845d4814a · outbound

This paper cites Kristiadi, F.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Kristiadi, F

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.150603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e46909e6-c7f4-410f-8244-d4f671ac7c3a · outbound

This paper cites an unresolved cited work.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-07-09T05:05:59.149056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8c39f71a-99b6-48b5-9809-496c3698ca4b · outbound

This paper cites We now explain why this construction improves 28 the optimization behavior of LM from the perspective of the residual trajectory.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates We now explain why this construction improves 28 the optimization behavior of LM from the perspective of the residual trajectory

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.170451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 821a57b3-bf5e-4ea7-aa2f-e20df7224096 · outbound

This paper cites The reference so- lution is computed using a pseudo-spectral operator-splitting scheme.

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates The reference so- lution is computed using a pseudo-spectral operator-splitting scheme

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T05:05:59.136684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.