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Paper Citation Record · LEDGER

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold

As of 7 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2506.02879.

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

pith.paper-citation-record.v1
2506.02879 v2

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:23:00.074408Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T23:14:15.350295Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

64 of 64 outbound references displayed

  • verified exact0
  • verified fuzzy49
  • unresolved14
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ac1c218f-1d41-4a3d-a790-836182dcd0c7 · outbound

This paper cites write newline.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold write newline

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T11:22:59.874013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:22:59.874013Z digest=sha256:51a6d90db752503d2467bcc580d0db019cb39d517766b8c26b3061aa4219efc0

Observation 2ba71a02-b382-444e-b347-6a92c610692f · outbound

This paper cites and Peyré, G.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold and Peyré, G

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 93ca7ed8-f89f-4e04-81c1-d6e3e79d2d13 · outbound

This paper cites Infeasible Deterministic , Stochastic , and Variance - Reduction Algorithms for Optimization under Orthogonality Constraints.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Infeasible Deterministic , Stochastic , and Variance - Reduction Algorithms for Optimization under Orthogonality Constraints

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 48be350b-02d7-4b65-89f0-66c6986f1ede · outbound

This paper cites and Malick, J.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold and Malick, J

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 51b07c73-0f19-470b-98a9-17499aa06c60 · outbound

This paper cites Trust- Region Methods on Riemannian Manifolds.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Trust- Region Methods on Riemannian Manifolds

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 0b8912a7-64ac-4b36-8270-e0927fec9a2b · outbound

This paper cites Optimization Algorithms on Matrix Manifolds.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Optimization Algorithms on Matrix Manifolds

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 75d72b2c-87df-4413-89aa-63ee38fa0923 · outbound

This paper cites and Sra, S.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold and Sra, S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.718973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 3fdcbb44-51dd-4848-9805-fc913ad59d5e · outbound

This paper cites Momentum Improves Optimization on Riemannian Manifolds.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Momentum Improves Optimization on Riemannian Manifolds

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.710135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation e6ab1839-107a-485e-ab56-f2f7afe6dc26 · outbound

This paper cites QSGD : Communication - Efficient SGD via Gradient Quantization and Encoding.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold QSGD : Communication - Efficient SGD via Gradient Quantization and Encoding

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.897649Z digest=sha256:009c50ee92f4c9ecd5e54d3eb84967b4d915be00c782bd61268de25c3108ad28

Observation cee72029-1652-49e2-b10d-62abdec25426 · outbound

This paper cites Unitary Evolution Recurrent Neural Networks.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unitary Evolution Recurrent Neural Networks

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation c3117f2c-2b81-49d7-9c6f-879a91265598 · outbound

This paper cites Can We Gain More from Orthogonality Regularizations in Training Deep Networks ? In Advances in Neural Information Processing Systems , volume 31.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Can We Gain More from Orthogonality Regularizations in Training Deep Networks ? In Advances in Neural Information Processing Systems , volume 31

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 72194ede-6aa3-4adb-8df4-43f0b0cee200 · outbound

This paper cites signSGD : Compressed Optimisation for Non - Convex Problems.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold signSGD : Compressed Optimisation for Non - Convex Problems

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.905487Z digest=sha256:864eacb6e8fa81bcd14afedf81524316c7a608437a34bcdca6f4d1be85299ea8

Observation e281bb8d-cd54-4fdf-8756-689cd37d2a7b · outbound

This paper cites An Adaptive Orthogonal Convolution Scheme for Efficient and Flexible CNN Architectures.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold An Adaptive Orthogonal Convolution Scheme for Efficient and Flexible CNN Architectures

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.908342Z digest=sha256:2f5660ac3c8947440c858b42a97e6eba79cd8c79be97a1bacf77148c71e5f926

Observation ed7cb2f9-da33-434a-a772-6cba93bf30e0 · outbound

This paper cites Stochastic Gradient Descent on Riemannian Manifolds.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Stochastic Gradient Descent on Riemannian Manifolds

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.911420Z digest=sha256:6fcc1da5f96a8ade99f58aefdd9bd2cf59d4177c685908dd65f00829b6daad29

Observation 96bb99ec-4e5b-493f-a784-6a0d6ad6b549 · outbound

This paper cites Global rates of convergence for nonconvex optimization on manifolds.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Global rates of convergence for nonconvex optimization on manifolds

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.914357Z digest=sha256:d6732e17e74bf12eb0dc8ddf552bf3e0395463466b7c3106af03b8b4312e5c86

Observation 2590e752-dd89-4678-a7f8-6c5c5b6da6b3 · outbound

This paper cites Decentralized Riemannian Gradient Descent on the Stiefel Manifold.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Decentralized Riemannian Gradient Descent on the Stiefel Manifold

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ff21de56-b1af-4e51-8037-1bb32dcd7cf0 · outbound

This paper cites A., and Smith, S.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold A., and Smith, S

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation c3862544-0d5f-4741-8de7-fffeba29098b · outbound

This paper cites Momentum Provably Improves Error Feedback ! Advances in Neural Information Processing Systems, 36: 0 76444--76495, December 2023.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Momentum Provably Improves Error Feedback ! Advances in Neural Information Processing Systems, 36: 0 76444--76495, December 2023

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 5d3d71c7-e984-457a-908e-d4dbde7262e9 · outbound

This paper cites Parallelizable Algorithms for Optimization Problems with Orthogonality Constraints.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Parallelizable Algorithms for Optimization Problems with Orthogonality Constraints

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a53fafb0-41da-40db-bf0c-f6aabe4c641a · outbound

This paper cites an unresolved cited work.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unresolved cited work

Reference 20

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a6d92fdf-a55b-46ae-93ec-29e1e807b154 · outbound

This paper cites an unresolved cited work.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unresolved cited work

Reference 21

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 1a0e7c3d-aabd-455d-8aab-3e046de67e12 · outbound

This paper cites Deep residual learning for image recognition.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Deep residual learning for image recognition

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T11:22:59.933312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:22:59.933312Z digest=sha256:c4c5391815111198cc118bfe984dfd1e842cc12d5a02bed9167be7e2902ba7f4

Observation 1aca3dc4-9763-400f-9814-13eb0bc60b62 · outbound

This paper cites Unbiased compression saves communication in distributed optimization: when and how much? Advances in Neural Information Processing Systems, 36, 2024.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unbiased compression saves communication in distributed optimization: when and how much? Advances in Neural Information Processing Systems, 36, 2024

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation df348139-40f1-4b79-be1a-91b31bfcbe30 · outbound

This paper cites Analysis of a complex of statistical variables into principal components.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Analysis of a complex of statistical variables into principal components

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.574978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 714c9df8-879b-4e88-a95e-9a5eb9d29740 · outbound

This paper cites Relations between two sets of variates.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Relations between two sets of variates

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.566655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.942304Z digest=sha256:f1603e9d4103bd673f052f1d8267a4594c8f7bc0c7afda31e5abdfbe07d5c3db

Observation 31507356-274d-476e-bd4e-0e793b7fab7c · outbound

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

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Improving the communication in decentralized manifold optimization through single-step consensus and compression

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T11:22:59.945778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:22:59.945778Z digest=sha256:50a1fa94e1305dbcab709d4ccb7166f2f40b18d5c116201cf57ef6b10f1f5b43

Observation c302e6e9-1254-4fa2-833f-108ed70a21b1 · outbound

This paper cites Lower Bounds and Nearly Optimal Algorithms in Distributed Learning with Communication Compression.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Lower Bounds and Nearly Optimal Algorithms in Distributed Learning with Communication Compression

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.558194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.949160Z digest=sha256:068a0a5471864e2786b64a662f4226b5e809bd39a9b2f79cb593aacdc63b7675

Observation 49c5b0c5-f912-469d-b8d9-58df0c46241f · outbound

This paper cites P., Rebjock, Q., Stich, S., and Jaggi, M.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold P., Rebjock, Q., Stich, S., and Jaggi, M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.550558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.952297Z digest=sha256:1fc02b78476568df3969df95c44995c97182d2a06f247ffcb19ee3c542a59005

Observation d674fc8a-2585-462b-a71e-91e92f0467ec · outbound

This paper cites Learning multiple layers of features from tiny images.(2009), 2009.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Learning multiple layers of features from tiny images.(2009), 2009

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.542475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.955276Z digest=sha256:0161145c89cc0ca041a59dd0e00b8691684e71058317ac18253263b5d5998ce1

Observation b7030a36-d3be-4706-9f0b-2d67b50636fe · outbound

This paper cites Mnist handwritten digit database.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Mnist handwritten digit database

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.534661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.958085Z digest=sha256:dc14a71fab0f5c89c58585dfa34f2d68c7fcd58cecc01e39917602165d156931

Observation 8f0a7d4b-404f-4ee9-ab9f-1c04c2b4cc43 · outbound

This paper cites and Martínez-Rubio, D.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold and Martínez-Rubio, D

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.526901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.961624Z digest=sha256:9d6bf76b7647d7decddd428e64f16a2d678fb3227ab60d03286a39ed36741d88

Observation e05b68c5-9d0c-4ce8-869b-f118c7fbea25 · outbound

This paper cites A Penalty - Free Infeasible Approach for a Class of Nonsmooth Optimization Problems Over the Stiefel Manifold.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold A Penalty - Free Infeasible Approach for a Class of Nonsmooth Optimization Problems Over the Stiefel Manifold

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.519896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.964878Z digest=sha256:0375c44b9cfefaaa903260f7c1e5a69da9bca3519c57ef982210f6c60b6e01d1

Observation b9ac6a3f-79d5-48fd-aa22-eb4157277c50 · outbound

This paper cites Accelerated First -order Methods for Geodesically Convex Optimization on Riemannian Manifolds.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Accelerated First -order Methods for Geodesically Convex Optimization on Riemannian Manifolds

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.512405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.967437Z digest=sha256:5ef33f9a4269c9f2c8a0e46e1d64bdcf7b3714c942c547852efe9fd6b178fd6b

Observation e755b620-0077-4091-8882-79c0c1c92552 · outbound

This paper cites an unresolved cited work.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:23:00.504884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.970533Z digest=sha256:37e3b5233c5f96dc2da2b84c2a023f8d11212892a4b15185216a96e531c9cda1

Observation 9a2280a3-3142-4d48-a3a8-acaa0c74a92c · outbound

This paper cites an unresolved cited work.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:23:00.497478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.973664Z digest=sha256:6aa872495de4570ef335d5d1e7a4438a54788348896ccacf2fbcebf9fff3116e

Observation 79bc6cd4-0c99-4d8b-817f-ca7f9dc08e70 · outbound

This paper cites Achieving Geometric Convergence for Distributed Optimization Over Time - Varying Graphs.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Achieving Geometric Convergence for Distributed Optimization Over Time - Varying Graphs

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.489831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.976247Z digest=sha256:be8d9012958cccdd4a78d1ad22e72c5dd4b4b34c30084ebf05ad782e5e034941

Observation 0f31d919-4953-48c0-8e71-74eeccad25c9 · outbound

This paper cites and Yuan, X.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold and Yuan, X

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.481483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.979041Z digest=sha256:d464d1072fbab71ce9fdb6feca3b53a77d7dfcb4213fe3523e553b190222ab7d

Observation 24a37c9c-7727-49de-b2d4-150b1e00c8a3 · outbound

This paper cites A., and Absil, P.-A.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold A., and Absil, P.-A

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.473524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.981550Z digest=sha256:a87983879639263e4e78976e6e29d34f3c5c6f5b5a12faca5ef7b56cba054fb6

Observation 9734eda4-5a87-42c1-9db6-a9d73f065c33 · outbound

This paper cites Distributed sparsity constrained optimization over the Stiefel manifold.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Distributed sparsity constrained optimization over the Stiefel manifold

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.465910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.984396Z digest=sha256:336ca88ceff6078e994c6e23a99c5cd2d44d80c405d6052877a7c541e0ea88aa

Observation 76b6bba6-debe-48ac-a8d0-185f221a4a13 · outbound

This paper cites EF21 : A New , Simpler , Theoretically Better , and Practically Faster Error Feedback.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold EF21 : A New , Simpler , Theoretically Better , and Practically Faster Error Feedback

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.458205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.987032Z digest=sha256:7a551a4785c199158802b9a4d8fd0db362ddef3b48d23a996e24b616b9e1c685

Observation 60be1cda-ddf2-4909-8f94-921c0f8b4423 · outbound

This paper cites Exact solutions to the nonlinear dynamics of learning in deep linear neural networks.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Exact solutions to the nonlinear dynamics of learning in deep linear neural networks

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.450182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.989701Z digest=sha256:2033202a84971a138d5cff11dccd0538e11cf5b6d0c896102c5ce28c2814e845

Observation 22cd47fb-6def-4e8d-bdb6-a26044357a33 · outbound

This paper cites 1-bit stochastic gradient descent and its application to data-parallel distributed training of speech DNNs.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold 1-bit stochastic gradient descent and its application to data-parallel distributed training of speech DNNs

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.442088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.992255Z digest=sha256:d96759cb435568f02494014a29712f86421ee97c8183c13dfb955328330fc1f1

Observation 02fd6c26-170e-465d-adfe-f9592b21bd1c · outbound

This paper cites EXTRA : An Exact First - Order Algorithm for Decentralized Consensus Optimization.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold EXTRA : An Exact First - Order Algorithm for Decentralized Consensus Optimization

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.434521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.994599Z digest=sha256:894a2b5be44b0f72ef38c6f48d2f608a7dc4f143ee0d056aec8509b0a26ee4f1

Observation b7bef5cd-962f-4464-b575-2d178670e82f · outbound

This paper cites and Feizi, S.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold and Feizi, S

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.426828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:22:59.997134Z digest=sha256:38c9ef0882cb1ab2a54563c7953c7539736d27ad2ef232e0be01ba697b122b9e

Observation c00bf70d-cbd0-4ed4-b8fb-8b5f3d09b948 · outbound

This paper cites an unresolved cited work.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:23:00.418542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.000071Z digest=sha256:1114e2de4f5ec1b9ce90cf77c2f1bdeaa64b43537ca0d9d662a96bfd901d2275

Observation 57346f75-d796-4cb3-aa35-25f0c7ee1f88 · outbound

This paper cites an unresolved cited work.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:23:00.411048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.003222Z digest=sha256:fa0fc40abffe76daf05de44f23141688c924f57f92b26d6eb5e37f6c3543ea5e

Observation d01f2260-b4a3-4298-a4dc-d75ea3d67942 · outbound

This paper cites The Error-Feedback Framework: Better Rates for SGD with Delayed Gradients and Compressed Communication.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold The Error-Feedback Framework: Better Rates for SGD with Delayed Gradients and Compressed Communication

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T11:23:00.006822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:23:00.006822Z digest=sha256:77d263e719ef7009a5876c4ed9997e0405da32d903015f4686fc37532ddcb7d2

Observation 49b9171f-7f20-4c72-9c50-27b335c3f6d7 · outbound

This paper cites U., Cordonnier, J.-B., and Jaggi, M.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold U., Cordonnier, J.-B., and Jaggi, M

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.402653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.010883Z digest=sha256:f2da95c4d94b18db5c40f0ad114d4a75c7dac5e2c3d0af297c1eb73a2a819e79

Observation 404c0f90-5dea-4b3d-a4fe-f72cb4f3a44d · outbound

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

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-07T11:23:00.015771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:23:00.015771Z digest=sha256:4c270a26c3f82fcb864c6184ca5317fb95d30a7c172b6f69c4c56a451a649af0

Observation 123fc2ec-545d-4a0e-ad9c-0664172b6b2d · outbound

This paper cites an unresolved cited work.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:23:00.394724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.025701Z digest=sha256:0b61f29faac24e05141f144db670c18211d0eaf1bcf4360206db7a04bb8c24bc

Observation 53cc83aa-80a5-4866-a732-a023bca6d0f4 · outbound

This paper cites Distributed asynchronous deterministic and stochastic gradient optimization algorithms.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Distributed asynchronous deterministic and stochastic gradient optimization algorithms

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.387063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.032067Z digest=sha256:db29c9786f22c5199c502d9ed4698af4a47581335ba11f075c0ea8c8e94ea2e0

Observation 47f4c1d9-18ad-4792-b4d3-b9418b9ec467 · outbound

This paper cites Optimization without Retraction on the Random Generalized Stiefel Manifold.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Optimization without Retraction on the Random Generalized Stiefel Manifold

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.378586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.035196Z digest=sha256:63911e42a13451cb4c78e221161473585ad77a793b23a801529d42615c7e8ba4

Observation 47c60921-f6ad-4439-986d-f30069c6bcb0 · outbound

This paper cites an unresolved cited work.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:23:00.370419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.038314Z digest=sha256:e5e42e2958140be39847a230642edb6526a848b2045e1075534db5148e68a3e8

Observation 46cbe4d6-ba34-4297-9751-7c3d8976bd21 · outbound

This paper cites and Liu, X.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold and Liu, X

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.361555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.041364Z digest=sha256:e37fb85ea06b0b66ed54075d2cbe43bb4062650ffc9f0454fdd30a27f7e6fb83

Observation dd54b184-f003-416c-84ad-3ebbc8128669 · outbound

This paper cites Gradient Sparsification for Communication - Efficient Distributed Optimization.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Gradient Sparsification for Communication - Efficient Distributed Optimization

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.353033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.044315Z digest=sha256:f7bf650b57dfe9739622ca09da5c5702b2912b61e82c5a931cd7114d68ae4550

Observation e178a626-ca82-4c0e-b32a-7e02ca9542a7 · outbound

This paper cites TernGrad : Ternary Gradients to Reduce Communication in Distributed Deep Learning.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold TernGrad : Ternary Gradients to Reduce Communication in Distributed Deep Learning

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.344227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.047434Z digest=sha256:656b739cd9aedbce99cb621cb246e946726cb6857031c0a712e9969ad4be6939

Observation 3aeb2119-ceef-435f-8945-cb00d5cd4ce4 · outbound

This paper cites Exact Penalty Function for _ 2,1 Norm Minimization over the Stiefel Manifold.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Exact Penalty Function for _ 2,1 Norm Minimization over the Stiefel Manifold

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.335620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.050878Z digest=sha256:911e8f97de216fdef00807a2cff31374a9ab83fa91da1e2e0a13161774c7ef41

Observation 71512e4f-d27e-4044-b722-dce7139122aa · outbound

This paper cites A class of smooth exact penalty function methods for optimization problems with orthogonality constraints.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold A class of smooth exact penalty function methods for optimization problems with orthogonality constraints

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.327252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.054911Z digest=sha256:4161a34a44867b8a80c45cbf23d7dbbb50331aab5de0f56b977862632b1c9dba

Observation dd2c9af4-4aa1-4356-af9e-55e87019a9f2 · outbound

This paper cites Constructing orthogonal convolutions in an explicit manner.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Constructing orthogonal convolutions in an explicit manner

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.317862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.058243Z digest=sha256:4c80e9563c8a531518e591b824bbb6b70ff15c3fd92e11390bd4a4e24a1ea002

Observation 172e577c-c6aa-44fd-8727-d1d5d178561e · outbound

This paper cites and Sra, S.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold and Sra, S

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.307213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.061218Z digest=sha256:0f3a62babd2464debc0072fdc93111c4df3c150656b274934934ba8c7cfb12da

Observation 89173e83-e365-4890-b043-e34699ae87bb · outbound

This paper cites Reddi, S., and Sra, S.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Reddi, S., and Sra, S

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.297972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.064638Z digest=sha256:36ad121a641d71a607509049d8fccb21aa9f04622bead66a3fa0f9ee0b25463c

Observation 6cc41356-0fe5-4592-9c20-97bd9305a86f · outbound

This paper cites M.-C., and Johansson, M.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold M.-C., and Johansson, M

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.174368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.068214Z digest=sha256:19ff31964be00a87d5ff8f08253b264f788d63638411b46865b7c801089994bd

Observation b0f1c919-4520-45fd-aa3e-05502bcfff65 · outbound

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

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Distributed Riemannian Stochastic Gradient Tracking Algorithm on the Stiefel Manifold

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-07T11:23:00.070972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:23:00.070972Z digest=sha256:3f69120e204848c922fb0dc890d9a9b441781ab3199576e1c5411a7e42d3e243

Observation 24a89c2a-4b02-438a-9ce9-80d38b970ede · outbound

This paper cites Faster First - Order Methods for Stochastic Non - Convex Optimization on Riemannian Manifolds.

Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold Faster First - Order Methods for Stochastic Non - Convex Optimization on Riemannian Manifolds

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:23:00.165842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T11:23:00.074408Z digest=sha256:4663bdd5cbc8a893a46aa05adb4dae0b52d717262d66ba7484fd7f2cffd68d2e

Pith citing papers

Observation 99b776b3-347d-4e88-8af2-32e3707cad28 · inbound

An Embarrassingly Simple Way to Optimize Orthogonal Matrices at Scale cites this paper.

An Embarrassingly Simple Way to Optimize Orthogonal Matrices at Scale Distributed Retraction-Free and Communication-Efficient Optimization on the Stiefel Manifold

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-02T23:14:15.350295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T23:14:15.350295Z digest=sha256:2c6d8725c65d9e7146de2e3efdcaad0b9e8ba6964c0a362849ddc1f8030c2ba6