Paper Citation Record · LEDGER

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

As of 13 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 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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
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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.

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; raw_fallback, observed 2026-08-07T11:23:00.763140Z

Source-reported events for the cited work

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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; raw_fallback, observed 2026-08-07T11:23:00.754934Z

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 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; raw_fallback, observed 2026-08-07T11:23:00.743852Z

Source-reported events for the cited work

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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; raw_fallback, observed 2026-08-07T11:23:00.734917Z

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 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; raw_fallback, observed 2026-08-07T11:23:00.726964Z

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 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

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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

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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; raw_fallback, observed 2026-08-07T11:23:00.700576Z

Source-reported events for the cited work

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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; raw_fallback, observed 2026-08-07T11:23:00.691112Z

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 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; raw_fallback, observed 2026-08-07T11:23:00.682762Z

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 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; raw_fallback, observed 2026-08-07T11:23:00.674463Z

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 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

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Source-reported events for the cited work

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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; raw_fallback, observed 2026-08-07T11:23:00.666282Z

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 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; raw_fallback, observed 2026-08-07T11:23:00.658121Z

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 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: verified fuzzy; raw_fallback, observed 2026-08-07T11:23:00.648131Z

Source-reported events for the cited work

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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: verified fuzzy; raw_fallback, observed 2026-08-07T11:23:00.637394Z

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 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; raw_fallback, observed 2026-08-07T11:23:00.628218Z

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 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; raw_fallback, observed 2026-08-07T11:23:00.617637Z

Source-reported events for the cited work

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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

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:23:00.607764Z

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 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; raw_fallback, observed 2026-08-07T11:23:00.598019Z

Source-reported events for the cited work

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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

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Source-reported events for the cited work

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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; raw_fallback, observed 2026-08-07T11:23:00.583155Z

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 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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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

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Source-reported events for the cited work

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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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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

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

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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 2026-08-12T06:34:41.77262+00:00.

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

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

Reference 35

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Source-reported events for the cited work

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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

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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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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

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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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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

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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 2026-08-12T06:34:41.77262+00:00.

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

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

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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

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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

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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

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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

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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

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

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

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

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 2026-08-12T06:34:41.77262+00:00.

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

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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

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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

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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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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

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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 2026-08-12T06:34:41.77262+00:00.

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

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