Paper Citation Record · LEDGER

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization

As of 12 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2412.02382.

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

pith.paper-citation-record.v1
2412.02382 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:43:01.201615Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T08:17:08.691397Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

41 of 41 outbound references displayed

verified exact4
verified fuzzy20
unresolved17
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b0367a10-069d-43de-be8b-72861a4675cb · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:02.234915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d9077aae-703b-4541-8de8-689917de9239 · outbound

This paper cites Balashov and R.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Balashov and R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:02.219343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3721f169-b2d1-47c5-8702-5d55315511c6 · outbound

This paper cites Bianchi and J.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Bianchi and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:02.199209Z

Source-reported events for the cited work

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Observation 4b9e7c19-9cfa-46ec-99b4-68602c92380d · outbound

This paper cites Boumal and P.-A.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Boumal and P.-A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:02.175663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1cb2f628-ff3a-457a-8d38-2bc82d526d3a · outbound

This paper cites Cardot and D.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Cardot and D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:02.160337Z

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Observation e1f925f3-02b3-429c-a6b7-199f58667678 · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:02.135265Z

Source-reported events for the cited work

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Observation 60083a36-cff9-425e-8cdd-36f76a9e0d06 · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:02.115681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a2d81495-62d9-43a9-9d12-29f5a4e92b11 · outbound

This paper cites Cho and J.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Cho and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:02.089281Z

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Observation 43349070-f55f-47f8-aa64-bcdd09077503 · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:02.068720Z

Source-reported events for the cited work

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Observation 27378072-b856-436b-8a71-bae624a4f52e · outbound

This paper cites Cutkosky and F.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Cutkosky and F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:02.032896Z

Source-reported events for the cited work

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Observation 7462c575-4bcc-4fc3-acb2-360ab4d9d71e · outbound

This paper cites Stochastic optimization over proximally smooth sets.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Stochastic optimization over proximally smooth sets

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T23:43:00.855990Z

Source-reported events for the cited work

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Observation e0597ab4-3e76-4652-9720-df2cd5da9b6a · outbound

This paper cites Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T23:43:00.870837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c048cce-5a80-46e1-bd18-d2d9c8654fd2 · outbound

This paper cites Decentralized Douglas-Rachford splitting methods for smooth optimization over compact submanifolds.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Decentralized Douglas-Rachford splitting methods for smooth optimization over compact submanifolds

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:43:01.530257Z

Source-reported events for the cited work

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Observation 3d31e744-1611-438d-b249-397e555a79b7 · outbound

This paper cites Oracle complexities of augmented Lagrangian methods for nonsmooth manifold optimization.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Oracle complexities of augmented Lagrangian methods for nonsmooth manifold optimization

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:43:01.470376Z

Source-reported events for the cited work

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Observation 324fb111-8539-4e98-996c-ae618ffc8069 · outbound

This paper cites Di Lorenzo and G.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Di Lorenzo and G

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:02.015655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2c045273-4e99-46fd-8097-0d1c0d10b3a6 · outbound

This paper cites Han and J.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Han and J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.984996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a019c919-cea8-49f9-8cbd-b18c5f5bfb53 · outbound

This paper cites Han and J.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Han and J

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1eb0a38b-ff77-47d0-a1a6-43735e7d32a4 · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:01.957517Z

Source-reported events for the cited work

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Observation 48b6295b-9f38-4958-bab6-25ce3328d754 · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:01.935353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c18ad8f7-1b3b-4f27-9cab-2cb3feda81df · outbound

This paper cites Improving the communication in decentralized manifold optimization through single-step consensus and compression.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Improving the communication in decentralized manifold optimization through single-step consensus and compression

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T23:43:00.997235Z

Source-reported events for the cited work

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Observation cfed0d35-f351-4e43-8d88-d44f57fcebf8 · outbound

This paper cites Decentralized Riemannian natural gradient methods with Kronecker-product approximations.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Decentralized Riemannian natural gradient methods with Kronecker-product approximations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T23:43:01.002865Z

Source-reported events for the cited work

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Observation c67bbada-34b1-4355-afeb-28b1c5d01713 · outbound

This paper cites Kasai, P.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Kasai, P

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.917255Z

Source-reported events for the cited work

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Observation 75749991-1c02-4337-89aa-3d87a32bc40d · outbound

This paper cites LeCun, The mnist database of handwritten digits, http://yann.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization LeCun, The mnist database of handwritten digits, http://yann

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.888355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b00ddf88-891c-4b6f-90a5-0c3311b9dfaf · outbound

This paper cites Mishra, H.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Mishra, H

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.870561Z

Source-reported events for the cited work

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Observation 0249f405-cd63-4ae6-8356-0f8338950c2f · outbound

This paper cites Qu and N.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Qu and N

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.854348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c1cc14e0-4888-4339-885b-114644053d75 · outbound

This paper cites Sarlette and R.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Sarlette and R

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.832237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 03c7c3f6-2629-420a-a459-ce62f9e6c1cd · outbound

This paper cites Scutari and Y.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Scutari and Y

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.817838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ca88d42e-f705-4f8e-8661-d9f7c29d5e14 · outbound

This paper cites Distributed Optimization on Riemannian Manifolds for multi-agent networks.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Distributed Optimization on Riemannian Manifolds for multi-agent networks

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:43:01.352364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 86043308-dba6-4432-99fd-cf0df363abbb · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:01.797172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 586c6182-33e9-4cbb-843a-423bc641b57a · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:01.779198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b4638033-cc90-4a42-a62c-bcca9c049ba7 · outbound

This paper cites Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T23:43:01.072548Z

Source-reported events for the cited work

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Observation cd49d22e-050d-4627-80da-1061fbbfb7cb · outbound

This paper cites Tatarenko and B.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Tatarenko and B

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.760857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a4b93968-dd76-4f2c-87e3-2f058c567f3e · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:01.744254Z

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Observation e71f9890-ab7d-422a-9c37-4b3becd3094e · outbound

This paper cites W ang and X.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization W ang and X

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.725207Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3808bc2f-7f72-4174-9447-0017e266990d · outbound

This paper cites W ang and X.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization W ang and X

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.708400Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a651eea5-20f1-4204-8abc-3301f2a285c3 · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:01.687330Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 07e3191c-35c2-4c12-9e85-cc366fc398d4 · outbound

This paper cites Ye and T.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Ye and T

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.663878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 848b8983-ca89-4b58-8ec6-fa4792d2ab14 · outbound

This paper cites an unresolved cited work.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:43:01.648514Z

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Observation fd71cfcb-5f74-4a14-a5ec-ebcab764a7d5 · outbound

This paper cites Zeng and W.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Zeng and W

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.629050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c9a52aec-d75c-4d02-b89f-a3ea46dd6642 · outbound

This paper cites Distributed Riemannian Stochastic Gradient Tracking Algorithm on the Stiefel Manifold.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Distributed Riemannian Stochastic Gradient Tracking Algorithm on the Stiefel Manifold

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T23:43:01.194749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97409db8-d655-4f4f-abab-c49bc2ccc6ca · outbound

This paper cites Zhou, X.-T.

Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization Zhou, X.-T

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:43:01.609563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation bdc99c5d-0088-4b45-91d1-129819051759 · inbound

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions cites this paper.

Distributed Stochastic Proximal Algorithm on Riemannian Submanifolds for Weakly-convex Functions Decentralized projected Riemannian stochastic recursive momentum method for nonconvex optimization

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T08:17:08.691397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.