Paper Citation Record · LEDGER

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations

As of 18 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1907.02710.

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

pith.paper-citation-record.v1
1907.02710 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T02:28:21.558189Z

measured 25 of 25 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 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

25 of 25 outbound references displayed

verified exact3
verified fuzzy18
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0f8d84f2-96b4-452c-95ed-b08d36cf5759 · outbound

This paper cites Apidopoulos, J.-F.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Apidopoulos, J.-F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.566985Z

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 6fc74fd8-f703-4480-b742-9488c622bd0d · outbound

This paper cites Attouch and J.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Attouch and J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.573976Z

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 45504dfa-4afd-4d2a-9f20-8367305b7917 · outbound

This paper cites Attouch and A.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Attouch and A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.562884Z

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 58184c58-3380-4fe3-8b35-df7b673fc4f9 · outbound

This paper cites Attouch and A.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Attouch and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.570543Z

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 1656cc0c-c4a8-460c-994a-c2ef0aed4463 · outbound

This paper cites Fast inertial dynamics and FISTA algorithms in convex optimization. Perturbation aspects.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Fast inertial dynamics and FISTA algorithms in convex optimization. Perturbation aspects

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-05-25T02:30:14.831290Z

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 b80758bd-1bc6-4eac-b738-080255c36811 · outbound

This paper cites Attouch, Z.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Attouch, Z

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.554217Z

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 2c8c24f2-5226-40a0-b220-44861d236723 · outbound

This paper cites Attouch, Z.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Attouch, Z

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.577590Z

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 9d67230e-42ed-409a-8c67-0a9c9e773c06 · outbound

This paper cites Attouch and J.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Attouch and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.558183Z

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 fc4cb82c-25e6-4c12-84ee-582e1dc15df5 · outbound

This paper cites Aujol and C.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Aujol and C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.543174Z

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 cc245659-eb97-4a91-85f6-5107715970cb · outbound

This paper cites Optimal convergence rates for Nesterov acceleration.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Optimal convergence rates for Nesterov acceleration

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-05-25T02:30:14.842202Z

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 3ab5dccd-8c82-4638-874f-0e68941fd9fa · outbound

This paper cites Balti and R.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Balti and R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.536016Z

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 af081f86-c8c0-4411-8c76-e2a5e667bcf9 · outbound

This paper cites Bégout, J.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Bégout, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.505350Z

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 e12a46a2-3660-4594-a817-e10423ad4d6d · outbound

This paper cites Bolte, T.P.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Bolte, T.P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.529228Z

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 27f4447e-c71b-4fb2-ac9b-bd4a6ce40fbd · outbound

This paper cites an unresolved cited work.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-25T21:06:13.525197Z

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 da5bb597-7f1c-4ae9-b2b0-63f2d9131eec · outbound

This paper cites Cabot, H.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Cabot, H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.532622Z

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 3c020152-f21e-4694-a1cd-83630c8fa542 · outbound

This paper cites Cabot, H.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Cabot, H

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.546979Z

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 5423a851-3492-4c57-a8de-2de19eee60b7 · outbound

This paper cites fast iterative shrinkage/thresholding algorithm.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations fast iterative shrinkage/thresholding algorithm

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.550871Z

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 6183d476-9e86-4272-a31d-9bfd1a30da1d · outbound

This paper cites Convergence of the Forward-Backward Algorithm: Beyond the Worst Case with the Help of Geometry.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Convergence of the Forward-Backward Algorithm: Beyond the Worst Case with the Help of Geometry

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-25T02:30:14.836820Z

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 ba089a77-cc45-4039-8eac-6997bfb8a7ed · outbound

This paper cites On a second order dissipative ode in hilbert space with an integrable source term.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations On a second order dissipative ode in hilbert space with an integrable source term

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.521584Z

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 f226de91-0bc8-42b4-9cac-d2900caed237 · outbound

This paper cites an unresolved cited work.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-25T21:06:13.498003Z

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 13b70a79-1f6d-4d51-bea8-68a9e0b8084d · outbound

This paper cites Łojasiewicz.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Łojasiewicz

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.501643Z

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 a5ec7419-ad04-4796-bcd3-25581d6018ad · outbound

This paper cites Łojasiewicz.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Łojasiewicz

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.513189Z

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 52d5b1c6-365e-4063-b563-26ec79e3cd0f · outbound

This paper cites an unresolved cited work.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-25T21:06:13.517213Z

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 18431ce4-acdb-49d8-a845-f8d87c361276 · outbound

This paper cites Polyak and P.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Polyak and P

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T21:06:13.509309Z

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 2553814e-c550-46fb-9292-d7f7d288dd71 · outbound

This paper cites an unresolved cited work.

Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-05-25T21:06:13.539440Z

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

No inbound Pith citation observations are available.