Paper Citation Record · LEDGER

Distributed Riemannian Optimization in Geodesically Non-convex Environments

As of 7 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2512.04915.

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

pith.paper-citation-record.v1
2512.04915 v2

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:37:02.278600Z

measured 52 of 52 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 2026-08-01T10:18:42.432691Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation 975db424-2d47-470e-82cf-40ce74ba28ef · outbound

This paper cites Linear dimensionality reduction: Survey, insights, and generalizations,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Linear dimensionality reduction: Survey, insights, and generalizations,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:57.502089Z

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Observation 32be6824-0390-4433-9650-f7cfda620e7d · outbound

This paper cites Matrix manifold optimization for gaussian mixtures,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Matrix manifold optimization for gaussian mixtures,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:57.647656Z

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Observation 0ee95d0d-fc85-466c-bdeb-af5f564d7e9b · outbound

This paper cites Riemannian optimization for non-centered mixture of scaled Gaussian distributions,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Riemannian optimization for non-centered mixture of scaled Gaussian distributions,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:57.720982Z

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Observation 1b6334e1-8c3b-4eac-aa88-dd8233df7c5a · outbound

This paper cites RTRMC: a riemannian trust-region method for low-rank matrix completion,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments RTRMC: a riemannian trust-region method for low-rank matrix completion,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:57.836899Z

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Observation 1878ea05-c088-4701-9abd-46e95cc63ab3 · outbound

This paper cites Low-rank matrix completion by Riemannian opti- mization,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Low-rank matrix completion by Riemannian opti- mization,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:57.906068Z

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Observation 6b58fd67-d95a-478c-9d4b-c8e1ba71e2be · outbound

This paper cites Stochastic gradient descent on Riemannian manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Stochastic gradient descent on Riemannian manifolds,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:58.026243Z

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Observation d2c7e21d-61e7-4560-877a-ddaa0960d936 · outbound

This paper cites First-order methods for geodesically convex optimization,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments First-order methods for geodesically convex optimization,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:58.073795Z

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Observation 5b3e6fa6-7c05-4e6a-8f98-3ffb26ee8917 · outbound

This paper cites Averaging stochastic gradient descent on Riemannian manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Averaging stochastic gradient descent on Riemannian manifolds,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:58.203104Z

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Observation 49d3bdb6-e130-4f2a-98bd-b56df3cb8fb3 · outbound

This paper cites No-regret online learning over Riemannian manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments No-regret online learning over Riemannian manifolds,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:58.334832Z

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Observation 7fe26380-7d8e-4c0e-8d82-42a550ce841c · outbound

This paper cites Riemannian stochastic optimization methods avoid strict saddle points,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Riemannian stochastic optimization methods avoid strict saddle points,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:58.456056Z

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Observation 6c35708b-7a74-4e3d-a7f7-93ba2363fba5 · outbound

This paper cites Non-parametric online change point detection on Riemannian manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Non-parametric online change point detection on Riemannian manifolds,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:58.591105Z

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Observation 6870e853-9d51-4c90-8bef-cff6fb95bf7d · outbound

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

Distributed Riemannian Optimization in Geodesically Non-convex Environments Distributed Optimization on Riemannian Manifolds for multi-agent networks

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:58.712763Z

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Observation 37a1761d-3740-45f9-a9ff-1e5c72fa5e17 · outbound

This paper cites Decentralized Riemannian gradient descent on the Stiefel manifold,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Decentralized Riemannian gradient descent on the Stiefel manifold,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:58.807971Z

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Observation 044a6bc3-6654-4063-bead-bbf45704715d · outbound

This paper cites Incremental aggregated Riemannian gradient method for distributed PCA,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Incremental aggregated Riemannian gradient method for distributed PCA,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:58.975642Z

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Observation 32496b5d-2e41-4448-b9a3-3536bb852906 · outbound

This paper cites Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the euclidean space,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds embedded in the euclidean space,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:59.155790Z

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Observation 2b0e43c9-5207-465e-8bb8-50e4888c5a84 · outbound

This paper cites Riemannian diffusion adaptation for distributed optimization on manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Riemannian diffusion adaptation for distributed optimization on manifolds,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:59.299048Z

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Observation 22572284-ecb6-472a-8dca-2fafb9e22697 · outbound

This paper cites Decentralized Online Riemannian Optimization with Dynamic Environments.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Decentralized Online Riemannian Optimization with Dynamic Environments

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:59.400218Z

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Observation b824324c-293b-49a2-8c38-d2521f15cf0f · outbound

This paper cites Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:59.527817Z

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Observation 3164daac-33bb-4186-ae59-d2ff7b7768cb · outbound

This paper cites Consensus optimization on manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Consensus optimization on manifolds,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:59.658928Z

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Observation 5b0d04be-d69a-4114-92d3-7a388159a973 · outbound

This paper cites Riemannian consensus for manifolds with bounded curvature,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Riemannian consensus for manifolds with bounded curvature,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:59.761644Z

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Observation 1e4a40cc-faf6-4d9d-844b-ced01327114b · outbound

This paper cites Distributed consensus on manifolds using the Riemannian center of mass,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Distributed consensus on manifolds using the Riemannian center of mass,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T18:36:59.893620Z

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Observation 093428ea-338a-4a5d-a653-e9d30b320750 · outbound

This paper cites Diffusion adaptation strategies for distributed optimization and learning over networks,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Diffusion adaptation strategies for distributed optimization and learning over networks,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.025583Z

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Observation db860464-c954-48d6-97ae-f9766784be4d · outbound

This paper cites Diffusion strategies for adaptation and learning over networks: an examination of distributed strategies and network behavior,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Diffusion strategies for adaptation and learning over networks: an examination of distributed strategies and network behavior,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.123287Z

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Observation 64b59e17-ce4f-421a-85f1-9e43495cd6fd · outbound

This paper cites Riemannian diffusion adaptation over graphs with application to online distributed PCA,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Riemannian diffusion adaptation over graphs with application to online distributed PCA,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.195633Z

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Observation ea398253-20d7-4647-a0e6-255497714786 · outbound

This paper cites an unresolved cited work.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.245442Z

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Observation 91d56207-7bfe-4901-8fed-5dff74f57880 · outbound

This paper cites an unresolved cited work.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.301387Z

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Observation a80c867b-19f9-400f-9814-44ee97ebf7d4 · outbound

This paper cites Absil, R.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Absil, R

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.360322Z

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Observation 3a07183d-8dc1-44b8-9c0d-7abcc590e24a · outbound

This paper cites Boumal,An Introduction to Optimization on Smooth Manifolds.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Boumal,An Introduction to Optimization on Smooth Manifolds

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.434723Z

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Observation c4ed0cd2-55bf-4844-a569-6013b9d9bb25 · outbound

This paper cites Adaptation, learning, and optimization over networks,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Adaptation, learning, and optimization over networks,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.493931Z

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Observation 05395b46-59e4-46d4-a7f3-74ffb993f2eb · outbound

This paper cites On the learning behavior of adaptive networks—Part I: Transient analysis,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments On the learning behavior of adaptive networks—Part I: Transient analysis,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.539744Z

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Observation 224b9850-e9a0-41ef-94ea-dddedc1f5897 · outbound

This paper cites Dual averaging for distributed optimization: Convergence analysis and network scaling,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Dual averaging for distributed optimization: Convergence analysis and network scaling,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.591867Z

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Observation 1e4425cd-7c71-4209-bdf5-a95d5012c782 · outbound

This paper cites On the convergence of decentralized gradient descent,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments On the convergence of decentralized gradient descent,

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.677196Z

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Observation 4d0a53b6-09f1-4f8a-baf9-d03c48b574e5 · outbound

This paper cites A unified and refined convergence analysis for non-convex decentralized learning,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments A unified and refined convergence analysis for non-convex decentralized learning,

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.717439Z

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Observation 16bef03f-9e0b-4e4d-8110-d66ac52b9d77 · outbound

This paper cites Riemannian ℓp center of mass: existence, uniqueness, and convexity,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Riemannian ℓp center of mass: existence, uniqueness, and convexity,

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.775304Z

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Observation 1c63b408-f39a-47cc-8d03-f19b8753c677 · outbound

This paper cites Riemannian SVRG: Fast stochastic op- timization on Riemannian manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Riemannian SVRG: Fast stochastic op- timization on Riemannian manifolds,

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.831541Z

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Observation 43fff0d1-e554-4e91-ab85-2c3252aa6722 · outbound

This paper cites First-order algo- rithms for min-max optimization in geodesic metric spaces,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments First-order algo- rithms for min-max optimization in geodesic metric spaces,

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.911746Z

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Observation 2a3842a2-5b84-4568-b647-6a44fbc814a7 · outbound

This paper cites A continuous-time perspective for modeling acceleration in Riemannian optimization,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments A continuous-time perspective for modeling acceleration in Riemannian optimization,

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:00.966586Z

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Observation 60cb7316-e481-4c30-98d5-92bfa6f7625f · outbound

This paper cites Escaping from saddle points on Riemannian manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Escaping from saddle points on Riemannian manifolds,

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.025849Z

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Observation d2401484-d55e-4709-b1fe-70387bb5d216 · outbound

This paper cites Distributed learning in non-convex environments—Part I: Agreement at a linear rate,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Distributed learning in non-convex environments—Part I: Agreement at a linear rate,

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.098904Z

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Observation 43549869-5c09-47a5-bfd7-631e57417aa6 · outbound

This paper cites Distributed learning in non-convex environments—Part II: Polyno- mial escape from saddle-points,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Distributed learning in non-convex environments—Part II: Polyno- mial escape from saddle-points,

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.202127Z

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Observation 01395ba8-5c81-4e54-aa7d-c67c714eba37 · outbound

This paper cites Riemannian adaptive stochastic gradient algorithms on matrix manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Riemannian adaptive stochastic gradient algorithms on matrix manifolds,

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.229533Z

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Observation c11f40e2-8f33-487b-871b-ec5154aa3777 · outbound

This paper cites On the convergence of gradient descent for finding the Riemannian center of mass,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments On the convergence of gradient descent for finding the Riemannian center of mass,

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.311085Z

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Observation 7480c76b-bc1f-4d13-b072-6ec3d5c38298 · outbound

This paper cites An improved convergence analysis for decentralized online stochastic non-convex optimization,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments An improved convergence analysis for decentralized online stochastic non-convex optimization,

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.416615Z

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Observation d9ec020e-016e-4e77-800a-d67e2f18d92f · outbound

This paper cites An overview of robust subspace recovery,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments An overview of robust subspace recovery,

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.507102Z

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Observation 6dabd65d-6498-4716-8ee3-b991899715cb · outbound

This paper cites Distributed robust subspace recovery,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Distributed robust subspace recovery,

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.665049Z

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Observation 8ca06b6a-d2a6-4bd8-b527-62eb0c41186c · outbound

This paper cites Trust-region methods on Riemannian manifolds,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Trust-region methods on Riemannian manifolds,

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.726737Z

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Observation 072bd4cc-df08-4c7d-867a-559d7a45e2c8 · outbound

This paper cites Pymanopt: A python toolbox for optimization on manifolds using automatic differentiation,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Pymanopt: A python toolbox for optimization on manifolds using automatic differentiation,

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:01.836706Z

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Observation 42046447-aad5-439c-b865-36cf8c0741cf · outbound

This paper cites The MNIST database of handwritten digits,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments The MNIST database of handwritten digits,

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:02.004685Z

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Observation 276898fd-25f0-459c-8c13-a6ff46e6d095 · outbound

This paper cites Geometric Wave Equations.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Geometric Wave Equations

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:02.108715Z

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Observation 235db442-8046-4a77-89a2-6e6edad623e1 · outbound

This paper cites Riemannian accelerated gradient methods via extrapolation,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments Riemannian accelerated gradient methods via extrapolation,

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:02.219109Z

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Observation 51b8076a-2edb-42f8-9092-42459658a29e · outbound

This paper cites The geometry of algorithms with orthogonality constraints,.

Distributed Riemannian Optimization in Geodesically Non-convex Environments The geometry of algorithms with orthogonality constraints,

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T18:37:02.278600Z

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Pith citing papers

Observation a7a63c82-de88-467c-b6a5-d8f10897e336 · inbound

Decentralized Online Riemannian Optimization for Strongly Geodesically Convex Functions cites this paper.

Decentralized Online Riemannian Optimization for Strongly Geodesically Convex Functions Distributed Riemannian Optimization in Geodesically Non-convex Environments

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T10:18:42.432691Z

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