Paper Citation Record · LEDGER

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity

As of 21 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2505.15537.

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

pith.paper-citation-record.v1
2505.15537 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:20:15.551354Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:41:15.355590Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T21:21:11.368695Z

Reference resolution

45 of 45 outbound references displayed

verified exact2
verified fuzzy35
unresolved8
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 087f4d66-3a31-411f-ae75-1051f4be4b2f · outbound

This paper cites DeEPCA: Decentralized exact PCA with linear convergence rate.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity DeEPCA: Decentralized exact PCA with linear convergence rate

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:23.369533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f17b44f0-3bae-493f-be97-6c91db1d408a · outbound

This paper cites Low-rank matrix completion via preconditioned optimization on the Grassmann manifold.Linear Algebra and its Applications, 475:200–239, 2015.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Low-rank matrix completion via preconditioned optimization on the Grassmann manifold.Linear Algebra and its Applications, 475:200–239, 2015

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:23.184983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f620b4d8-867c-44ab-9837-13489c3c1a1b · outbound

This paper cites Riemannian natural gradient methods.SIAM Journal on Scientific Computing, 46(1):A204–A231, 2024.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Riemannian natural gradient methods.SIAM Journal on Scientific Computing, 46(1):A204–A231, 2024

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:23.036833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 39f06203-dcd6-4e53-8691-134068991f72 · outbound

This paper cites Riemannian approach to batch normalization.Advances in Neural Information Processing Systems, 30, 2017.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Riemannian approach to batch normalization.Advances in Neural Information Processing Systems, 30, 2017

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:22.892012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 05541056-5751-4d98-8fab-a7ffc7fa0813 · outbound

This paper cites Unitary evolution recurrent neural networks.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Unitary evolution recurrent neural networks

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:22.713263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1e669206-0b0f-42cc-9452-1a618046aead · outbound

This paper cites On orthogonality and learning recurrent networks with long term dependencies.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity On orthogonality and learning recurrent networks with long term dependencies

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:22.553735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ed72a824-09ba-4460-9561-544ff2888dfb · outbound

This paper cites Orthogonal weight normalization: Solution to optimization over multiple dependent Stiefel manifolds in deep neural networks.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Orthogonal weight normalization: Solution to optimization over multiple dependent Stiefel manifolds in deep neural networks

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:22.397918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8b841276-b2fd-4c8a-aaee-66bd35ab6903 · outbound

This paper cites Understanding how orthogonality of parameters improves quantization of neural networks.IEEE Transactions on Neural Networks and Learning Systems, 2022.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Understanding how orthogonality of parameters improves quantization of neural networks.IEEE Transactions on Neural Networks and Learning Systems, 2022

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:22.192276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4393d90b-23a6-4d63-a3b8-d1d47cac6321 · outbound

This paper cites Riemannian preconditioned lora for fine-tuning foundation models.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Riemannian preconditioned lora for fine-tuning foundation models

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:21.990577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4399da07-2fdb-49eb-a219-6d9a9c97c259 · outbound

This paper cites Retraction-free optimization over the stiefel manifold with application to the lora fine-tuning.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Retraction-free optimization over the stiefel manifold with application to the lora fine-tuning

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:21.761634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 784014e1-7074-4c4c-959a-c5a7fcf0cde8 · outbound

This paper cites Distributed subgradient methods for multi-agent opti- mization.IEEE Transactions on Automatic Control, 54(1):48, 2009.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Distributed subgradient methods for multi-agent opti- mization.IEEE Transactions on Automatic Control, 54(1):48, 2009

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:21.555022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e3625e2-e2c3-462c-99fa-2082c1cb9bce · outbound

This paper cites Distributed asynchronous deterministic and stochastic gradient optimization algorithms.IEEE Transactions on Automatic Control, 31 (9):803–812, 1986.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Distributed asynchronous deterministic and stochastic gradient optimization algorithms.IEEE Transactions on Automatic Control, 31 (9):803–812, 1986

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:21.347131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation caba91d2-7cb1-4e85-b2eb-6d675850e269 · outbound

This paper cites On the convergence of decentralized gradient descent.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity On the convergence of decentralized gradient descent

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:21.159530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e4b76fb7-6f02-4e4f-9750-c7fc6146465c · outbound

This paper cites EXTRA: An exact first-order algorithm for decentralized consensus optimization.SIAM Journal on Optimization, 25(2):944–966, 2015.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity EXTRA: An exact first-order algorithm for decentralized consensus optimization.SIAM Journal on Optimization, 25(2):944–966, 2015

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:13.352724Z

Source-reported events for the cited work

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Observation 5ceef4df-93fa-49f3-bc42-2727ee698b07 · outbound

This paper cites DLM: Decentralized linearized al- ternating direction method of multipliers.IEEE Transactions on Signal Processing, 63(15): 4051–4064, 2015.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity DLM: Decentralized linearized al- ternating direction method of multipliers.IEEE Transactions on Signal Processing, 63(15): 4051–4064, 2015

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:20.987770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2674425e-fdef-455b-bb10-7c6bc2d23100 · outbound

This paper cites Exact diffusion for distributed op- timization and learning Part II: Convergence analysis.IEEE Transactions on Signal Processing, 67(3):724–739, 2018.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Exact diffusion for distributed op- timization and learning Part II: Convergence analysis.IEEE Transactions on Signal Processing, 67(3):724–739, 2018

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:20.832181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 23c4112c-98e7-479b-8ae8-1f22fd3f595e · outbound

This paper cites A decentralized proximal-gradient method with network inde- pendent step-sizes and separated convergence rates.IEEE Transactions on Signal Processing, 67(17):4494–4506, 2019.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity A decentralized proximal-gradient method with network inde- pendent step-sizes and separated convergence rates.IEEE Transactions on Signal Processing, 67(17):4494–4506, 2019

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:20.580006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1c8b86c9-36da-4737-84af-b6f2027627a1 · outbound

This paper cites Convergence of a multi-agent projected stochastic gradient algorithm for non-convex optimization.IEEE Transactions on Automatic Control, 58 (2):391–405, 2012.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Convergence of a multi-agent projected stochastic gradient algorithm for non-convex optimization.IEEE Transactions on Automatic Control, 58 (2):391–405, 2012

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:20.419106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ed3953e6-0a55-4b49-a5a8-acfeaf39a463 · outbound

This paper cites NEXT: In-network nonconvex optimization.IEEE Transactions on Signal and Information Processing over Networks, 2(2):120–136, 2016.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity NEXT: In-network nonconvex optimization.IEEE Transactions on Signal and Information Processing over Networks, 2(2):120–136, 2016

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:20.213480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0702a6d5-5ac0-450d-ad34-734af530e138 · outbound

This paper cites Prox-PDA: The proximal primal- dual algorithm for fast distributed nonconvex optimization and learning over networks.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Prox-PDA: The proximal primal- dual algorithm for fast distributed nonconvex optimization and learning over networks

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:20.020381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aa076067-9967-4635-a0e1-090efd4d35f9 · outbound

This paper cites Non-convex distributed optimization.IEEE Transactions on Automatic Control, 62(8):3744–3757, 2017.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Non-convex distributed optimization.IEEE Transactions on Automatic Control, 62(8):3744–3757, 2017

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:19.831159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 501d3ee3-742f-46e2-8a48-ae275cde838f · outbound

This paper cites Distributed nonconvex constrained optimization over time- varying digraphs.Mathematical Programming, 176(1-2):497–544, 2019.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Distributed nonconvex constrained optimization over time- varying digraphs.Mathematical Programming, 176(1-2):497–544, 2019

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:19.653162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fc8f8e6b-aa05-4f1d-9af4-00d580cf1b91 · outbound

This paper cites Improving the sample and communication complexity for decentralized non-convex optimization: Joint gradient estimation and tracking.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Improving the sample and communication complexity for decentralized non-convex optimization: Joint gradient estimation and tracking

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:19.447827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 554ad53a-9dc9-47c3-81c2-b552a996e863 · outbound

This paper cites Decentralized Frank–Wolfe algorithm for convex and nonconvex problems.IEEE Transactions on Automatic Control, 62 (11):5522–5537, 2017.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Decentralized Frank–Wolfe algorithm for convex and nonconvex problems.IEEE Transactions on Automatic Control, 62 (11):5522–5537, 2017

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:19.225779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fb7f0425-bb3c-4656-a085-cb937b9d5336 · outbound

This paper cites On nonconvex decentralized gradient descent.IEEE Transactions on Signal Processing, 66(11):2834–2848, 2018.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity On nonconvex decentralized gradient descent.IEEE Transactions on Signal Processing, 66(11):2834–2848, 2018

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:18.990642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8c2fdc03-dfcf-42fd-afe7-a9d580f2cf42 · outbound

This paper cites Riemannian consensus for manifolds with bounded curvature.IEEE Transactions on Automatic Control, 58(4):921–934, 2012.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Riemannian consensus for manifolds with bounded curvature.IEEE Transactions on Automatic Control, 58(4):921–934, 2012

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:18.823566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ea94aac5-77f1-4c38-9fd8-5e0195e8c0b7 · outbound

This paper cites On the local linear rate of consensus on the Stiefel manifold.IEEE Transactions on Automatic Control, 2023.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity On the local linear rate of consensus on the Stiefel manifold.IEEE Transactions on Automatic Control, 2023

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:14.360904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41035bae-73f3-4545-8272-ed130c049d2a · outbound

This paper cites Decentralized Rie- mannian gradient descent on the Stiefel manifold.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Decentralized Rie- mannian gradient descent on the Stiefel manifold

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:18.663803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a5d12615-30db-4c88-a2c9-968706bf0d74 · outbound

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

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:14.473396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99fbdbd1-d4a0-4631-8e31-fba1f44e6de3 · outbound

This paper cites Decentralized Riemannian conjugate gradient method on the Stiefel manifold.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Decentralized Riemannian conjugate gradient method on the Stiefel manifold

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:18.444037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 56e2fcdc-7acc-482c-980e-9372e4e46999 · outbound

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

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Decentralized Riemannian natural gradient methods with Kronecker-product approximations

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:14.582996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4996b15-8e5a-4953-80f3-2595a58f1877 · outbound

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

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Improving the communication in decentralized manifold optimization through single-step consensus and compression

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:14.629791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3d3f22e-7bd8-40ab-8bca-25b2cccae97e · outbound

This paper cites Decentralized optimization over the Stiefel manifold by an approximate augmented Lagrangian function.IEEE Transactions on Signal Processing, 70:3029–3041, 2022.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Decentralized optimization over the Stiefel manifold by an approximate augmented Lagrangian function.IEEE Transactions on Signal Processing, 70:3029–3041, 2022

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:18.156010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c6076da4-e0f9-46d7-a040-b8777967bf07 · outbound

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

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:14.760030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57f2093e-00b9-486d-a208-064fec8d2af3 · outbound

This paper cites Local linear conver- gence of infeasible optimization with orthogonal constraints.IEEE Control Systems Letters, 2024.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Local linear conver- gence of infeasible optimization with orthogonal constraints.IEEE Control Systems Letters, 2024

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:17.881075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f582d027-3aff-45ee-a964-6abc3fddbc85 · outbound

This paper cites Princeton University Press, 2009.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Princeton University Press, 2009

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:17.621920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f5f7b50a-0321-4b0b-b144-63a4174526a6 · outbound

This paper cites Proximal smoothness and the lower-C2 property.Journal of Convex Analysis, 2(1-2):117–144, 1995.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Proximal smoothness and the lower-C2 property.Journal of Convex Analysis, 2(1-2):117–144, 1995

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:17.377233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5b57ec39-0617-4e18-9a20-bf2484ca3da8 · outbound

This paper cites The gradient projection method with Armijo’s step size on manifolds.Computational Mathematics and Mathematical Physics, 61:1776–1786, 2021.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity The gradient projection method with Armijo’s step size on manifolds.Computational Mathematics and Mathematical Physics, 61:1776–1786, 2021

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:17.165970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1c4fc3c6-ed8d-4fc1-9596-33e950ec22cb · outbound

This paper cites Stochastic optimization over proximally smooth sets.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Stochastic optimization over proximally smooth sets

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:20:16.051712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a5720b56-318a-4d17-aa9f-34d9ff035df5 · outbound

This paper cites Regularity of the distance function.Proceedings of the American Mathematical Society, 92(1):153–155, 1984.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Regularity of the distance function.Proceedings of the American Mathematical Society, 92(1):153–155, 1984

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:16.867823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 92a7e849-e895-4b04-84ae-5e1225003325 · outbound

This paper cites Consensus optimization on manifolds.SIAM Journal on Control and Optimization, 48(1):56–76, 2009.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Consensus optimization on manifolds.SIAM Journal on Control and Optimization, 48(1):56–76, 2009

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:20:16.648953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8e7a205b-1676-4119-9d93-0fced30ae586 · outbound

This paper cites Convergence Analysis of EXTRA in Non-convex Distributed Optimization.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Convergence Analysis of EXTRA in Non-convex Distributed Optimization

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:20:15.812912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 18b0918f-043a-4ae0-8d4a-1735e4324a53 · outbound

This paper cites Achieving Consensus over Compact Submanifolds.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Achieving Consensus over Compact Submanifolds

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:15.378595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a544cc84-689f-4b82-9a9b-d9734711a1fb · outbound

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

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity The mnist database of handwritten digits.http://yann

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T15:20:15.441173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93b001da-5a80-4dd3-9322-7e625973754b · outbound

This paper cites Augmented distributed gradi- ent methods for multi-agent optimization under uncoordinated constant stepsizes.

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity Augmented distributed gradi- ent methods for multi-agent optimization under uncoordinated constant stepsizes

Reference 45

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A Retraction-Free EXTRA Method for Decentralized Optimization on the Stiefel Manifold cites this paper.

A Retraction-Free EXTRA Method for Decentralized Optimization on the Stiefel Manifold Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity

Reference 36

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ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System cites this paper.

ReasFlow: Assisting Reasoning-Centric Scientific Discovery in Applied Mathematics via a Knowledge-Based Multi-Agent System Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity

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