Paper Citation Record · LEDGER

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization

As of 19 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2506.15632.

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

pith.paper-citation-record.v1
2506.15632 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:44:21.020936Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

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

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:52:56.188695Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T19:01:46.390638Z

Reference resolution

45 of 45 outbound references displayed

verified exact0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 63cdccc1-55b6-4a6e-b700-7abca2aeab18 · outbound

This paper cites Antipin, Minimization of convex functions on convex sets by means of diﬀerential equations, Diﬀ.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Antipin, Minimization of convex functions on convex sets by means of diﬀerential equations, Diﬀ

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.718650Z

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.

Observation e10d65ee-19ab-433b-83ea-9670138b6441 · outbound

This paper cites Alvarez, On the minimizing property of a second order dissipative dynamical system in Hilbert spaces, SIAM J.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Alvarez, On the minimizing property of a second order dissipative dynamical system in Hilbert spaces, SIAM J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.698353Z

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

Observation 671ad740-c375-4247-b006-3b72e59ab33e · outbound

This paper cites Alvarez, H.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Alvarez, H

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.677871Z

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

Observation 5a9390c0-a5d9-467b-854b-8be927cc44bd · outbound

This paper cites Attouch, Z.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Attouch, Z

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.662692Z

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

Observation a6b6fee6-2bef-4ef8-84d9-fe3dfc44c117 · outbound

This paper cites Attouch, X.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Attouch, X

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.645134Z

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.

Observation f1194521-ab79-48cc-8e79-fdf7adc90005 · outbound

This paper cites Aujol, Ch.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Aujol, Ch

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.628425Z

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.

Observation fc092b6c-c7d1-4d96-abb4-d5f429d2f8b5 · outbound

This paper cites Aujol, Ch.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Aujol, Ch

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.612023Z

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.

Observation e1120745-a4dd-409d-b93c-8dcb3105968a · outbound

This paper cites Aujol, Ch.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Aujol, Ch

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.596218Z

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.

Observation 7bd5a544-be72-44e8-90cf-4d4b08072f84 · outbound

This paper cites Arrow, A.C.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Arrow, A.C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.580435Z

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.

Observation 85884416-e8e2-4e2e-ab36-dcf4e3ac5c4d · outbound

This paper cites Generalized Con- cavity.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Generalized Con- cavity

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.566639Z

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.

Observation e71209c4-32ce-433d-b439-5ae83b6ab2ab · outbound

This paper cites Cabot, H.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Cabot, H

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.551999Z

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.

Observation 017472ed-5557-420b-a2eb-08a757d0247a · outbound

This paper cites Generalized Convexity and Optimization: Theory and Applications.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Generalized Convexity and Optimization: Theory and Applications

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.534454Z

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.

Observation e171750d-1294-4023-9a17-f4bf3b7bcc13 · outbound

This paper cites Cherukuri, B.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Cherukuri, B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.518765Z

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.

Observation 8855edfe-ea2d-4710-8801-edf97a3fbbcf · outbound

This paper cites Theory of value.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Theory of value

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.504235Z

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

Observation 5ffc01b5-e260-41c6-9876-638d85d3033c · outbound

This paper cites Giselsson, S.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Giselsson, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.489392Z

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.

Observation f0b4c3a6-4d54-4306-9ac3-d560c3def50b · outbound

This paper cites Goudou, J.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Goudou, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.470929Z

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

Observation 0c1a2cd3-fca7-46cc-9a4d-a7c40225554b · outbound

This paper cites an unresolved cited work.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Unresolved cited work

Reference 17

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Source-reported events for the cited work

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Observation b525ce1e-a008-4362-b070-eb11735fc127 · outbound

This paper cites an unresolved cited work.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:20.910076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abccd340-cb7a-4835-b063-887ca9e054b2 · outbound

This paper cites Koumatos, S.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Koumatos, S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.442606Z

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.

Observation 4d44220d-39dc-4d42-abbf-2d8aa4f6f5a6 · outbound

This paper cites Handbook of Generali- zed Convexity and Generalized Monotonicity.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Handbook of Generali- zed Convexity and Generalized Monotonicity

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.428085Z

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.

Observation 3cc99a31-4ef3-4726-9482-f2ca156b7a33 · outbound

This paper cites Hermant, J.-F.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Hermant, J.-F

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.412745Z

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.

Observation 5fd8e455-6ce3-4f3c-b0b6-c49093331f1c · outbound

This paper cites Hinder, A.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Hinder, A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.398227Z

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.

Observation c4bb4034-a3cf-4e77-bd53-4015d624f1b9 · outbound

This paper cites Iusem, F.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Iusem, F

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.382240Z

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.

Observation 3ae4c6ed-917d-40b5-b060-d9be47ffed6b · outbound

This paper cites Jovanovi ´c, Strongly quasiconvex quadratic functions, Publ.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Jovanovi ´c, Strongly quasiconvex quadratic functions, Publ

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.369401Z

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.

Observation e2bacd03-77b1-4ff1-bad2-dd3fc8cfe43f · outbound

This paper cites Jovanovi´c, A note on strongly convex and quasiconvex functions, Math.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Jovanovi´c, A note on strongly convex and quasiconvex functions, Math

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.356490Z

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.

Observation caa47a40-05d4-40d8-9188-4471d4f97e44 · outbound

This paper cites Machine Learning and Knowledge Discovery in Databases.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Machine Learning and Knowledge Discovery in Databases

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.342916Z

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.

Observation eedaa56b-70ee-4e35-a51d-c51f5dd021d5 · outbound

This paper cites Korablev , Relaxation methods of minimization of pseudoconvex functions, J Soviet Math , 44, 1–5, (1989), (translated from Issled Prikl Mat, 8, 3–8, (1980)).

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Korablev , Relaxation methods of minimization of pseudoconvex functions, J Soviet Math , 44, 1–5, (1989), (translated from Issled Prikl Mat, 8, 3–8, (1980))

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.330219Z

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.

Observation 5f0353c8-fcce-4cb1-84d1-998c6b9eda3c · outbound

This paper cites Lara, On strongly quasiconvex functions: existence results and proxi- mal point algorithms, J.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Lara, On strongly quasiconvex functions: existence results and proxi- mal point algorithms, J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:20.957593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8f3a9bf-7c86-4686-9f02-a3a9097e42fa · outbound

This paper cites Lara, R.T.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Lara, R.T

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:20.961483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0bff43a-741a-4509-8106-c8cc1f5ed992 · outbound

This paper cites an unresolved cited work.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:20.965217Z

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Unavailable: canonical work link unavailable.

Observation 2fd5f286-6157-4f09-86e8-8f044bbecd55 · outbound

This paper cites /suppress Lojasiewicz, A topological property of real analytic subsets.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization /suppress Lojasiewicz, A topological property of real analytic subsets

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.310491Z

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.

Observation b39f65a1-2d51-4746-b557-27b56172586b · outbound

This paper cites an unresolved cited work.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:44:21.298608Z

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

Observation 9c7e94b1-8afb-4752-90be-54354ef5dc0f · outbound

This paper cites an unresolved cited work.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:44:21.286054Z

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.

Observation 7c382b89-d905-49dc-98bb-4453defa9a73 · outbound

This paper cites On Strong Quasiconvexity of Functions in Infinite Dimensions.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization On Strong Quasiconvexity of Functions in Infinite Dimensions

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:20.979813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 663e41af-afe0-427b-9d02-a1518992dc50 · outbound

This paper cites Nesterov, A method for solving the convex programming problem with convergence rate O (1 k2 ) , Dokl.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Nesterov, A method for solving the convex programming problem with convergence rate O (1 k2 ) , Dokl

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.273908Z

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

Observation aa90307a-14d9-4093-9b71-b2baed805160 · outbound

This paper cites Introductory Lectures on Convex Optimization: A Basic Course.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Introductory Lectures on Convex Optimization: A Basic Course

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.261221Z

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

Observation 105eea41-ddcf-4f41-8b03-47192bc20dee · outbound

This paper cites Nesterov, B.T.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Nesterov, B.T

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.248782Z

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.

Observation fa81f003-f20f-48eb-be15-5d7df7f723f7 · outbound

This paper cites Piranfar, H.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Piranfar, H

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.235868Z

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.

Observation 35aa7636-afa8-4ced-8997-4eacfdda5a79 · outbound

This paper cites Polyak, Gradient methods for minimizing functionals, Zh.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Polyak, Gradient methods for minimizing functionals, Zh

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.223883Z

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.

Observation 54717a07-4a7e-4fc2-af4e-fe3617af65ea · outbound

This paper cites Polyak, Some methods of speeding up the convergence of iteration methods, USSR Comp.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Polyak, Some methods of speeding up the convergence of iteration methods, USSR Comp

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.208356Z

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.

Observation 307a3264-035d-4eef-a33f-51c8dad2b0af · outbound

This paper cites Polyak , Existence theorems and convergence of minimizing se- quences in extremum problems with restrictions, Soviet Math.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Polyak , Existence theorems and convergence of minimizing se- quences in extremum problems with restrictions, Soviet Math

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:21.005632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f9efcd9-6af3-4aa8-9929-28c505b4b13c · outbound

This paper cites an unresolved cited work.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:44:21.188769Z

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.

Observation 8b134453-6e9b-453d-9a82-fc8bb16195c1 · outbound

This paper cites Inter- national conference on algorithmic learning theory. Proceedings of the 28th conference (ALT 2017).

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Inter- national conference on algorithmic learning theory. Proceedings of the 28th conference (ALT 2017)

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.176614Z

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.

Observation 0a45ca7c-df45-4aa7-a18e-0fa4ad20e79d · outbound

This paper cites Vladimirov, Ju.E.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Vladimirov, Ju.E

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.162470Z

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.

Observation ce35b5c7-718f-4821-b8c1-608fa31b2ead · outbound

This paper cites Vuong, A second-order dynamical system and its discretization for strongly pseudo-monotone variational inequality, SIAM J.

Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization Vuong, A second-order dynamical system and its discretization for strongly pseudo-monotone variational inequality, SIAM J

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:21.150133Z

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.

Pith citing papers

Observation c8aa9b64-b905-494a-878c-52a674a9d48c · inbound

Extending Linear Convergence of the Proximal Point Algorithm: The Quasar-Convex Case cites this paper.

Extending Linear Convergence of the Proximal Point Algorithm: The Quasar-Convex Case Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-18T19:01:46.393795Z

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.

Observation 6bcf0d25-176a-4bce-b522-c3b4163806de · inbound

Star Quasiconvexity: a Unified Approach for Linear Convergence of First-Order Methods Beyond Convexity cites this paper.

Star Quasiconvexity: a Unified Approach for Linear Convergence of First-Order Methods Beyond Convexity Heavy Ball and Nesterov Accelerations with Hessian-driven Damping for Nonconvex Optimization

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T15:52:56.188695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.