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Paper Citation Record · LEDGER

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

As of 19 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

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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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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Observation c098822c-5893-4ecb-b84a-e110bab249d0 · outbound

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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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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Observation 7cb37444-c8f2-43fd-9dba-90dcb88ef10d · outbound

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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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.268541Z digest=sha256:f57e7a72c7917ce6ef2b83ccca79b404aca6e9819cba2955a7d87a0805d0e9f4

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.270967Z digest=sha256:27e9f2d11cc3939f4d8cc51dd087ec18e635a5295e3866d128e3d6e97a0ca374

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.273698Z digest=sha256:3c6756df5c7afd00b4286e0a138b7fed8aea64f2027411313e23cea2c758de95

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 2026-08-19T06:32:44.657259+00:00.

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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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.278467Z digest=sha256:a53e2fa47685d8b02b7de07d0d999323e37a169022bb02ddb7fa85c4c58afb05

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.280739Z digest=sha256:f53423094b58fe382629558ea3f742d199b0c08265b5ed77e84833fc7a0850a8

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.283060Z digest=sha256:b24792237ccb975d188f9fa3470eb185e6cf7defec8d4d5a2d914719de10e09b

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.286020Z digest=sha256:1188d0279897ee5566a4bf862fee2b1962aab738c149f0620940e4158d65e38a

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.288388Z digest=sha256:539e3bdbdce1ad6069f7c4145ab1446451a4f0867fd7d5f7c609d96d2cb297e5

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.290691Z digest=sha256:3a30355101b176c6487ec6478fbced16f91d23ac578f856d005cc3ab1da933d5

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-06T11:24:43.292997Z digest=sha256:0ab75af6c425a12263cab51e6dd9661fc475f8a68d6374c9cde9534176d9a560

Pith citing papers

No inbound Pith citation observations are available.