Paper Citation Record · LEDGER

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds

As of 7 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 3 inbound Pith citation observations for arXiv:2509.07779.

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

pith.paper-citation-record.v1
2509.07779 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

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measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

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External citation measurements

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Outbound references

Observation afa36962-92ac-4ecf-b3c2-70762df5f973 · outbound

This paper cites Cesa-Bianchi and G.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Cesa-Bianchi and G

Reference 1

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Observation 4659bcc1-b619-49f3-829d-c47f20eb901f · outbound

This paper cites Introduction to online convex optimization,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Introduction to online convex optimization,

Reference 2

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Observation f6db8c80-8ee3-4a92-8473-d7f6522094dd · outbound

This paper cites Minimizing dynamic regret on geodesic metric spaces,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Minimizing dynamic regret on geodesic metric spaces,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.576262Z

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Observation 49d85d8a-85d6-42db-a49f-7b4ec6664c28 · outbound

This paper cites Riemannian projection-free online learning,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Riemannian projection-free online learning,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.562677Z

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Observation 441226bf-da43-4478-9f0c-4ac3735953ad · outbound

This paper cites Tracking and regret bounds for online zeroth-order euclidean and riemannian optimization,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Tracking and regret bounds for online zeroth-order euclidean and riemannian optimization,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.549157Z

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Observation 5ead61d0-ccc0-493c-a2da-b342317f0f0b · outbound

This paper cites Online optimization over riemannian manifolds,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Online optimization over riemannian manifolds,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.535269Z

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Observation 85c8e693-8f88-4296-be73-a0d1eeb8a866 · outbound

This paper cites Decentralized riemannian gradient descent on the stiefel manifold,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Decentralized riemannian gradient descent on the stiefel manifold,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.521228Z

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Observation 02038608-b864-4e00-9859-0b98eabfc4a7 · outbound

This paper cites On the local linear rate of consensus on the stiefel manifold,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds On the local linear rate of consensus on the stiefel manifold,

Reference 8

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Observation ed532da9-8e45-4aaf-a632-3849bb82158a · outbound

This paper cites Consensus on lie groups for the riemannian center of mass,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Consensus on lie groups for the riemannian center of mass,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.492683Z

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Observation 280680bc-748b-491d-b476-cc51935a3790 · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Distributed consensus on manifolds using the riemannian center of mass,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.477845Z

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Observation 6babd1b3-7d00-45d3-9b6c-a2809886ce33 · outbound

This paper cites Decentralized Online Riemannian Optimization with Dynamic Environments.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Decentralized Online Riemannian Optimization with Dynamic Environments

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:54:28.054872Z

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Observation 4ca42174-584e-47f7-ab8d-c894856ac934 · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds

Reference 12

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Observation 920c7f6f-64e3-47fe-9822-ccc6946a9473 · outbound

This paper cites Consensus optimization on manifolds,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Consensus optimization on manifolds,

Reference 13

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Observation d2f32177-021a-4107-8974-0afe660e25b6 · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Riemannian consensus for manifolds with bounded curvature,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.448710Z

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Observation 1520dead-8185-4693-92cc-ff533b3f58ed · outbound

This paper cites Stochastic zeroth-order rieman- nian derivative estimation and optimization,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Stochastic zeroth-order rieman- nian derivative estimation and optimization,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.434768Z

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Observation b0c5dd36-5b75-496c-b65a-836e350abd4f · outbound

This paper cites Zeroth-order riemannian averaging stochastic approximation al- gorithms,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Zeroth-order riemannian averaging stochastic approximation al- gorithms,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.419730Z

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Observation 99a359f3-6ed1-4b25-92dd-591f2070fc49 · outbound

This paper cites Distributed subgradient methods for multi- agent optimization,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Distributed subgradient methods for multi- agent optimization,

Reference 17

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Observation 6b822a39-1c63-4871-9da3-ce42b1145a2b · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Dual averaging for distributed optimization: Convergence analysis and network scaling,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.395341Z

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Observation f4e8e9e8-669a-4a03-a628-95e0640c8690 · outbound

This paper cites Decentralized gradient-free meth- ods for stochastic non-smooth non-convex optimization,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Decentralized gradient-free meth- ods for stochastic non-smooth non-convex optimization,

Reference 19

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Observation 99fc7a5d-a333-4088-b5ce-ce287d56591d · outbound

This paper cites An online optimization perspec- tive on first-order and zero-order decentralized nonsmooth nonconvex stochastic optimization,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds An online optimization perspec- tive on first-order and zero-order decentralized nonsmooth nonconvex stochastic optimization,

Reference 20

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Observation a07dd40b-43c2-4d32-abb5-529bd546ff99 · outbound

This paper cites On distributed nonconvex optimization: Projected subgradient method for weakly convex problems in networks,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds On distributed nonconvex optimization: Projected subgradient method for weakly convex problems in networks,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.352614Z

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Observation 0da56ab8-556a-4c3f-b047-fd3f71b4fcca · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds On the convergence of decentralized gradient descent,

Reference 22

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Observation f251fa14-8b60-4488-bdb2-3decd2e7cdf9 · outbound

This paper cites Achieving geometric convergence for distributed optimization over time-varying graphs,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Achieving geometric convergence for distributed optimization over time-varying graphs,

Reference 23

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This paper cites Harnessing smoothness to accelerate distributed optimization,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Harnessing smoothness to accelerate distributed optimization,

Reference 24

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Observation a2974e92-13d6-4037-bf37-b6a7464b6535 · outbound

This paper cites Extra: An exact first-order algorithm for decentralized consensus optimization,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Extra: An exact first-order algorithm for decentralized consensus optimization,

Reference 25

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This paper cites Distributed linearized alter- nating direction method of multipliers for composite convex consensus optimization,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Distributed linearized alter- nating direction method of multipliers for composite convex consensus optimization,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.293058Z

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Observation f2778cf9-72e1-4a94-9740-ea08f3a2d7f3 · outbound

This paper cites Multi-agent distributed opti- mization via inexact consensus admm,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Multi-agent distributed opti- mization via inexact consensus admm,

Reference 27

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Observation 60068cba-1767-4afa-97c6-e128b99658a4 · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Augmented distributed gradient methods for multi-agent optimization under uncoordinated constant stepsizes,

Reference 28

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Observation f6880f93-5278-4fef-aa79-4fce452e49ec · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Retraction-Free Decentralized Non-convex Optimization with Orthogonal Constraints

Reference 29

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Observation 39def15f-4655-48cc-aab4-389f7d0474b0 · outbound

This paper cites Decentralized Riemannian Conjugate Gradient Method on the Stiefel Manifold.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Decentralized Riemannian Conjugate Gradient Method on the Stiefel Manifold

Reference 30

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This paper cites Achieving Consensus over Compact Submanifolds.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Achieving Consensus over Compact Submanifolds

Reference 31

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Observation 8bdbc1e3-bde5-422f-a66c-677eae155294 · outbound

This paper cites Online and stochastic optimization beyond lipschitz continuity: A riemannian approach,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Online and stochastic optimization beyond lipschitz continuity: A riemannian approach,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.250257Z

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Observation e962ec01-b801-4883-a0cb-db86fe638327 · outbound

This paper cites Riemannian Optimistic Algorithms.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Riemannian Optimistic Algorithms

Reference 33

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Observation 8b612fd6-a3a4-4c5b-b057-f71e612ac21d · outbound

This paper cites Optimization algorithms on matrix manifolds,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Optimization algorithms on matrix manifolds,

Reference 34

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Observation 12709929-ac49-4809-9dd9-4a1698f12641 · outbound

This paper cites Boumal,An introduction to optimization on smooth manifolds.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Boumal,An introduction to optimization on smooth manifolds

Reference 35

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Observation cd2dc2e5-4b29-4e68-a967-c37baa53533c · outbound

This paper cites Distributed online optimization in dynamic environments using mirror descent,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Distributed online optimization in dynamic environments using mirror descent,

Reference 36

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Observation d67ada22-ebaf-447e-ba92-819a3c2f2440 · outbound

This paper cites Bac ´ak,Convex analysis and optimization in Hadamard spaces.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Bac ´ak,Convex analysis and optimization in Hadamard spaces

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.199522Z

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Observation 6e0d6099-1ebc-40a7-9a5a-e186ce9ba59b · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds First-order methods for geodesically convex optimization,

Reference 38

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Observation 805edafd-abf2-40d0-8f4d-5fabab39aec5 · outbound

This paper cites Computing riemannian center of mass on hadamard manifolds,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Computing riemannian center of mass on hadamard manifolds,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.172362Z

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Observation b49924f7-7ee6-4137-8e93-1393f42b8045 · outbound

This paper cites Convergence of Riemannian Stochastic Gradient Descent on Hadamard Manifold.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Convergence of Riemannian Stochastic Gradient Descent on Hadamard Manifold

Reference 40

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Observation e596358d-a7a5-49d5-bc77-612925120cdd · outbound

This paper cites From nesterov’s estimate sequence to riemannian acceleration,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds From nesterov’s estimate sequence to riemannian acceleration,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.157705Z

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Observation 6cd4b285-c7e6-40fc-b06a-a0660d96e157 · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds A continuous- time perspective for modeling acceleration in riemannian optimization,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.143379Z

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Observation 07b0e3d3-f78e-426b-a1ad-3387384836eb · outbound

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

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Escaping from saddle points on riemannian manifolds,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.128675Z

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Observation e935a245-19df-48b5-a174-baaad66d4347 · outbound

This paper cites Online distributed convex optimization on dynamic networks,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Online distributed convex optimization on dynamic networks,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.113499Z

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Observation 867fb199-e320-4a90-a98a-61a85408ef52 · outbound

This paper cites Distributed au- tonomous online learning: Regrets and intrinsic privacy-preserving prop- erties,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Distributed au- tonomous online learning: Regrets and intrinsic privacy-preserving prop- erties,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.096755Z

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Observation 8b16e519-5f73-4820-9eb8-0d7542c27a25 · outbound

This paper cites On the metric projection onto convex sets in riemannian spaces,.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds On the metric projection onto convex sets in riemannian spaces,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.082994Z

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Observation ccb4ef4f-7d88-48d2-87c2-f8bcaf885501 · outbound

This paper cites Jost and J.

Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds Jost and J

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:54:28.069291Z

Source-reported events for the cited work

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Pith citing papers

Observation 4fa5a365-a798-4875-afee-b40cfd68702a · inbound

Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives cites this paper.

Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds

Reference 20

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

Distributed Riemannian Optimization in Geodesically Non-convex Environments cites this paper.

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

Reference 18

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Observation 2e2073ab-5f0a-4d5a-9eed-1313826a2658 · inbound

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

Decentralized Online Riemannian Optimization for Strongly Geodesically Convex Functions Decentralized Online Riemannian Optimization Beyond Hadamard Manifolds

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T10:18:42.893750Z

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Unavailable: canonical work link unavailable.