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Paper Citation Record · LEDGER

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization

As of 18 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 3 inbound Pith citation observations for arXiv:2509.08561.

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

pith.paper-citation-record.v1
2509.08561 v1

Coverage vector

measured 70 of 70 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:17:25.050284Z

measured 73 of 73 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T23:44:57.702108Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T00:14:04.499652Z

Reference resolution

70 of 70 outbound references displayed

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External citation measurements

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Outbound references

Observation fa9066da-ebb9-41a2-b47f-51f2a4a41fe8 · outbound

This paper cites Absil, R.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Absil, R

Reference 1

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Observation 6744a7cc-2417-410c-b3e9-214b8a3ed2ae · outbound

This paper cites Ahn, J.-S.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Ahn, J.-S

Reference 2

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 3

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 4

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Observation 8e0f5dca-8d0b-4080-8a05-7551e8b7ddd6 · outbound

This paper cites Banert and R.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Banert and R

Reference 5

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Observation 0d9051dc-2308-432f-ba38-4c34e82f30b1 · outbound

This paper cites Barzilai and J.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Barzilai and J

Reference 6

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Observation 67565f00-a02c-4cfb-bc96-1feb7222a708 · outbound

This paper cites Beck , First-Order Methods in Optimization , Society for Industrial and Applied Mathemat- ics, Philadelphia, PA, 2017.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Beck , First-Order Methods in Optimization , Society for Industrial and Applied Mathemat- ics, Philadelphia, PA, 2017

Reference 7

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Observation b058a09d-947a-4e8a-b5fe-2df5b1512461 · outbound

This paper cites Beck and I.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Beck and I

Reference 8

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Observation e75e943c-00b5-4b4b-8f1f-4294ab8c02fd · outbound

This paper cites Bergmann, O.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Bergmann, O

Reference 9

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Observation f13ec10c-01f9-44b7-82a0-1620232f5e6a · outbound

This paper cites Bian and X.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Bian and X

Reference 10

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Observation 71a3245a-3cb5-40b2-85bc-bf808ecefba2 · outbound

This paper cites Boumal , An Introduction to Optimization on Smooth Manifolds , Cambridge University Press, 2023.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Boumal , An Introduction to Optimization on Smooth Manifolds , Cambridge University Press, 2023

Reference 11

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Observation ffb69ef4-985e-4695-b924-a1f28a450e45 · outbound

This paper cites Boumal, P.-A.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Boumal, P.-A

Reference 12

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 13

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This paper cites Chang and C.-J.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Chang and C.-J

Reference 14

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Observation 015bbd76-2a47-41da-a1d9-dd5cd43ad291 · outbound

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 15

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 16

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 17

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 18

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Observation f6ef08e2-75e0-4946-a65a-1b86fbf8afbb · outbound

This paper cites Cui and J.-S.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Cui and J.-S

Reference 19

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Dai and R

Reference 20

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Observation e61423a0-3375-4c6c-a5a8-c746b0de1b91 · outbound

This paper cites d’Aspremont, F.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization d’Aspremont, F

Reference 21

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This paper cites d’Aspremont, L.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization d’Aspremont, L

Reference 22

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This paper cites Davis and D.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Davis and D

Reference 23

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Observation 9c89d00f-2f1e-4019-b46c-5ee49f8794e4 · outbound

This paper cites Oracle complexities of augmented Lagrangian methods for nonsmooth manifold optimization.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Oracle complexities of augmented Lagrangian methods for nonsmooth manifold optimization

Reference 24

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This paper cites Drusvyatskiy and C.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Drusvyatskiy and C

Reference 25

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This paper cites Gotoh, A.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Gotoh, A

Reference 26

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This paper cites A Riemannian Proximal Newton-CG Method.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization A Riemannian Proximal Newton-CG Method

Reference 27

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This paper cites Huang and K.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Huang and K

Reference 28

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Observation 6c82a31e-475f-4b06-bff4-fc5a325ea696 · outbound

This paper cites Huang and K.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Huang and K

Reference 29

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 42208a99-f02a-4c3e-adc3-3ebddbcad175 · outbound

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Huang and K

Reference 30

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This paper cites Huang, M.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Huang, M

Reference 31

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This paper cites Jiang, X.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Jiang, X

Reference 32

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Journ ´ee, Y

Reference 33

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This paper cites Optimal and parameter-free gradient minimization methods for convex and nonconvex optimization.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Optimal and parameter-free gradient minimization methods for convex and nonconvex optimization

Reference 34

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An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 35

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Reference 36

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Observation 83bcca5b-99ec-4eaa-b561-22390ca6170e · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 37

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Observation 67a37c46-4147-4fa0-9678-251b8c16395b · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 38

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This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 39

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Unavailable: canonical work link unavailable.

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Observation c5572c1f-734b-4266-8426-1e154c155a1b · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 40

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Observation 7382e027-64f2-4549-a3a3-1c656a3d04f8 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 41

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Observation e5d79384-aac8-46fe-b4ab-d3829eebe282 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 42

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 243522b3-7e13-4409-a536-e31692ce0f3e · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 43

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 846ee439-f7e4-42db-8b4e-bfe7ce62bebe · outbound

This paper cites Liu and A.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Liu and A

Reference 44

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This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 45

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c2182860-7ddd-4d58-95f2-148e30dc36f6 · outbound

This paper cites Lu and Z.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Lu and Z

Reference 46

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T16:17:24.901963Z digest=sha256:baeff1c6f914c5a8a91f8a52f0e887a3eef2bf8bcb5fa60d83cd009392420ba3

Observation 493cd2e6-3fc3-4fb2-9e89-de7466fc4633 · outbound

This paper cites Nesterov , Lectures on Convex Optimization , vol.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Nesterov , Lectures on Convex Optimization , vol

Reference 47

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 831dce53-bb34-4ae6-b272-28fb5be12058 · outbound

This paper cites Nocedal and S.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Nocedal and S

Reference 48

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 71b2bce5-e0f3-48dc-8e97-a6c3307ecd4d · outbound

This paper cites Peleg and R.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Peleg and R

Reference 49

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 162540eb-5c11-44a4-bffb-01621ea6d05c · outbound

This paper cites an unresolved cited work.

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Reference 50

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 785fc173-fc1a-408e-a700-3460bcd66404 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 51

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raw_fallback, observed 2026-08-15T16:17:25.772584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9c0c1c07-546a-413c-952d-9f65ed6b8ccf · outbound

This paper cites Si, P.-A.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Si, P.-A

Reference 52

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 7f0ef29c-d752-4fd4-a285-771659e5aa2e · outbound

This paper cites Souza and P.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Souza and P

Reference 53

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 51c88618-f90a-4d10-ac60-4e339337079d · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:17:25.712569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 68294be0-e7f4-4d5a-a21b-89c6f1bc582a · outbound

This paper cites Tian and A.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Tian and A

Reference 55

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation dd4c0e56-753f-472d-ae60-d42202361eff · outbound

This paper cites Villa, S.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Villa, S

Reference 56

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 29c87e0f-21ae-4c99-b200-c5d1e7992cc4 · outbound

This paper cites W ang, S.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization W ang, S

Reference 57

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 096c841f-a67a-4280-a77c-950578bc51a6 · outbound

This paper cites an unresolved cited work.

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Reference 58

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9df7ef10-9da4-45fd-b337-17e8cbca0cb3 · outbound

This paper cites Wen and W.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Wen and W

Reference 59

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2a65499d-161e-4eef-8095-aa66f1226f68 · outbound

This paper cites an unresolved cited work.

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Reference 60

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c9edea26-7d22-4847-b693-c5eccb186a79 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:17:25.572704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9cbdf026-c760-4b45-a727-522caa817b25 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 62

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:17:24.999649Z digest=sha256:90c38375cb29c484a39ce2cbf0db42890e785b9ba254a7085427cd3d7d9c1c55

Observation 07950dfe-2239-4e3a-aad1-6d3918a0b394 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:17:25.554054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation cf779e72-febd-4e9c-b241-473420b6acb3 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:17:25.531944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3e071b73-70b0-426d-9528-1f6fc982f041 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 65

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unresolved
no resolver link, observed 2026-08-15T16:17:25.020143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:17:25.020143Z digest=sha256:65e3c0d4ca58872d35779a03be8158aec03177d31c1f214a9529fd128e8c812f

Observation 17090896-053d-4935-a8cb-26d801e03f27 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:17:25.500320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4667e92b-d375-4eae-ae3c-f0d676f0b45b · outbound

This paper cites ADMM for Nonsmooth Composite Optimization under Orthogonality Constraints.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization ADMM for Nonsmooth Composite Optimization under Orthogonality Constraints

Reference 67

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:17:25.119535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2db6d2a7-75a0-4aad-9e85-cd87291e394a · outbound

This paper cites Zhang, G.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Zhang, G

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:17:25.483425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1b0fb786-2df1-4daa-9ebc-19ecdc0ae9cf · outbound

This paper cites Zheng, S.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Zheng, S

Reference 69

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3877762b-8c61-4648-a931-7e1ad760d679 · outbound

This paper cites an unresolved cited work.

An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization Unresolved cited work

Reference 70

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Pith citing papers

Observation 9bfa7e25-ad0c-43c0-9015-e7965a6023b0 · inbound

An Adaptive Smoothing Algorithm for Non-Lipschitz Optimization on Manifolds with Complexity Guarantees cites this paper.

An Adaptive Smoothing Algorithm for Non-Lipschitz Optimization on Manifolds with Complexity Guarantees An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0a5dae6d-2ba6-48e8-ae82-65c691556de8 · inbound

An Infeasible Method with Feasibility Safeguard for Nonsmooth Composite Optimization Over Manifolds cites this paper.

An Infeasible Method with Feasibility Safeguard for Nonsmooth Composite Optimization Over Manifolds An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ac9a1def-04d6-4236-851f-8b724c7661bc · inbound

MoSSP: A Momentum-Based Single-Loop Stochastic Penalty Method for Nonconvex Constrained DC-Regularized Optimization cites this paper.

MoSSP: A Momentum-Based Single-Loop Stochastic Penalty Method for Nonconvex Constrained DC-Regularized Optimization An Inexact Proximal Framework for Nonsmooth Riemannian Difference-of-Convex Optimization

Reference 24

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T06:03:08.321289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-06-29T06:02:50.948390Z digest=sha256:1db392551fcfde774a8da40a7cd1aae9a0acdeaeefdeec7e4e73447281db1dfa