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Paper Citation Record · LEDGER

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach

As of 7 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2507.22855.

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

pith.paper-citation-record.v1
2507.22855 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

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measured 47 of 47 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

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 84018493-5734-4c3c-af09-549a2b967d0f · outbound

This paper cites Absil and J.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Absil and J

Reference 1

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This paper cites Absil, R.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Absil, R

Reference 2

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Observation 87cb1e3a-2332-42a3-9af8-11552a749372 · outbound

This paper cites Balasubramanian and S.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Balasubramanian and S

Reference 3

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 4

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Observation bb89737f-df31-4ace-ac8b-0fc899f90306 · outbound

This paper cites Carlini and D.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Carlini and D

Reference 5

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 6

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 7

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Observation c9f989bd-0aaa-4379-aae0-6634648c2ece · outbound

This paper cites Davis, D.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Davis, D

Reference 8

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Observation d51f211b-9e7c-4bfb-a558-06eb3e5e390a · outbound

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

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds

Reference 9

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 10

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Observation 4256ab92-d493-4df3-99ce-8a1a719f1ef2 · outbound

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 11

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 12

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Observation 8b0a887b-c6ef-4026-9e51-fc0aebc17d1b · outbound

This paper cites Ghadimi and G.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Ghadimi and G

Reference 13

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 14

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This paper cites Federated Learning on Riemannian Manifolds with Differential Privacy.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Federated Learning on Riemannian Manifolds with Differential Privacy

Reference 15

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Observation a87da24d-3a94-4dac-a84e-f20cc07cb0ab · outbound

This paper cites Huang, W.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Huang, W

Reference 16

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This paper cites Kairouz, H.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Kairouz, H

Reference 17

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This paper cites Mime: Mimicking Centralized Stochastic Algorithms in Federated Learning.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Mime: Mimicking Centralized Stochastic Algorithms in Federated Learning

Reference 18

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 19

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Khanduri, P

Reference 20

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This paper cites Federated Learning: Strategies for Improving Communication Efficiency.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Federated Learning: Strategies for Improving Communication Efficiency

Reference 21

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 22

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Federated Learning on Riemannian Manifolds

Reference 23

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 24

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This paper cites Zeroth-order Riemannian Averaging Stochastic Approximation Algorithms.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Zeroth-order Riemannian Averaging Stochastic Approximation Algorithms

Reference 25

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This paper cites Problem-Parameter-Free Decentralized Nonconvex Stochastic Optimization.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Problem-Parameter-Free Decentralized Nonconvex Stochastic Optimization

Reference 26

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 27

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 28

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach McMahan, E

Reference 29

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Nesterov and V

Reference 30

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 31

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Pedregosa, G

Reference 32

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This paper cites Rabad \'a n and A.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Rabad \'a n and A

Reference 33

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This paper cites Local SGD Converges Fast and Communicates Little.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Local SGD Converges Fast and Communicates Little

Reference 34

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 35

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Observation 3b5e2e99-76d5-4fda-93c5-e1d7c97ee920 · outbound

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Townsend, N

Reference 36

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Observation f9fc9150-e07b-442f-baee-6918c5d92f96 · outbound

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Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 37

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Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.268541Z digest=sha256:bff70424eee1336bde323760110415fe73674c18e2c1fb94565095875ce4badb

Observation 42653ef7-2b67-4d0b-9d26-982a2e1f2ebe · outbound

This paper cites Utpala, A.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Utpala, A

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:24:43.506562Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.270967Z digest=sha256:c95e99f73a5f3ad5ae0b0dc2159ebc1ee59e88ce376064d09348343a1652134d

Observation 2f707751-7210-4e53-9322-7072c39daa01 · outbound

This paper cites From the Greene--Wu Convolution to Gradient Estimation over Riemannian Manifolds.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach From the Greene--Wu Convolution to Gradient Estimation over Riemannian Manifolds

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:24:43.328710Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.273698Z digest=sha256:9e9fdc974f1afa0283de14730afb1ef477c6a6cf5bf68b1e58a45c5ae18a9bdd

Observation 8b568026-b808-4c23-8651-0508e5de1ece · outbound

This paper cites an unresolved cited work.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:24:43.500629Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.276167Z digest=sha256:ce30f907ed3ae91d9189e63841cbd899fc6358fca88f5b90f8babfc59c018506

Observation 7b76a121-360e-4e7d-9a7b-8f14613ffe6d · outbound

This paper cites an unresolved cited work.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:24:43.493853Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.278467Z digest=sha256:b168086017f12af360cad7422986c55a9343fc50615c90a61cec585c8162e013

Observation 176a6339-1065-4d2c-bdd0-c90786bfc93d · outbound

This paper cites an unresolved cited work.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:24:43.487189Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.280739Z digest=sha256:14e2b2c3136cd292be6da98caf3eb57809d6782707920b5c595b28bd4b600cfb

Observation 17d8cbd2-3caa-4f15-ba85-1bebc432aa02 · outbound

This paper cites Xue and V.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Xue and V

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:24:43.480572Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.283060Z digest=sha256:73a73ccb4bdf29cfde2b58bc42bb8cf84a0df61760ae06511cf04e736c5e2fa7

Observation d29ec1ca-4196-4d23-9257-c513275a12b2 · outbound

This paper cites an unresolved cited work.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:24:43.473673Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.286020Z digest=sha256:9961d2fc568cf417ea98748224bad98b534cc0b99de7a9e3cd9dee671e76bb87

Observation eada22bd-797b-4f62-8e89-fa488b08726a · outbound

This paper cites an unresolved cited work.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-06T11:24:43.466768Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.288388Z digest=sha256:11f38835e131cff57792a6224635ef31f0004373d9f0cd1f0d418b438fb974a8

Observation 0a87db29-c8b9-4ac6-97d1-872092a39b07 · outbound

This paper cites Zhang, J.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Zhang, J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:24:43.459736Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.290691Z digest=sha256:221f548be1e80f77ee2dbf3de1e9f8e61ec48ecf8a223da1a4b2fe0dd4246053

Observation ad47c497-b149-498a-be8a-422aac9ac6ff · outbound

This paper cites Nonconvex Federated Learning on Compact Smooth Submanifolds With Heterogeneous Data.

Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach Nonconvex Federated Learning on Compact Smooth Submanifolds With Heterogeneous Data

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:24:43.318544Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-06T11:24:43.292997Z digest=sha256:bd37e0a95374ddbf5534d9a793b58ba6b3927b69a0f62ede2234aadaa93f2001

Pith citing papers

No inbound Pith citation observations are available.