Paper Citation Record · LEDGER

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms

As of 14 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2412.13527.

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

pith.paper-citation-record.v1
2412.13527 v3

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:10:52.058283Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:35:19.425496Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T02:54:10.170081Z

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a0b2ad39-6d8c-480d-92a6-0cad75afe37a · outbound

This paper cites Attouch and J.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Attouch and J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:51.994486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41308d61-45a4-4e03-b480-fbcdf876e167 · outbound

This paper cites Attouch, P.-E.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Attouch, P.-E

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:51.997893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8263254f-9b58-42f4-9697-ea420d316abe · outbound

This paper cites Attouch, J.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Attouch, J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.002172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f34b898-f3ec-4030-938b-0b3650307601 · outbound

This paper cites an unresolved cited work.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.005584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08530205-09c0-4ac1-bd6f-fac4a4fa3faa · outbound

This paper cites Beck and M.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Beck and M

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.009248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed5db36b-c837-4b86-9b5e-2c78c59cf47a · outbound

This paper cites an unresolved cited work.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.012579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f17751ec-ffb5-4aba-b95f-f22a5e3735bf · outbound

This paper cites Chambolle and T.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Chambolle and T

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.016240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation baba0251-c2fa-47d9-b41f-6aec0424b862 · outbound

This paper cites Gradient Norm Minimization of Nesterov Acceleration: $o(1/k^3)$.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Gradient Norm Minimization of Nesterov Acceleration: $o(1/k^3)$

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.019334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13dab90e-d55f-40dc-961d-b9804bcb9ddb · outbound

This paper cites Revisiting the acceleration phenomenon via high-resolution differential equations.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Revisiting the acceleration phenomenon via high-resolution differential equations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.022454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02b07af7-f8f5-4508-8d34-5bf0f06cdd89 · outbound

This paper cites On Underdamped Nesterov's Acceleration.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms On Underdamped Nesterov's Acceleration

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.025223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c78f2da-fe9f-4598-8119-ea3892cc25f7 · outbound

This paper cites Giselsson and S.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Giselsson and S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.028272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c03ac627-f5e6-4920-90a2-880cd6ac8457 · outbound

This paper cites Linear Convergence of ISTA and FISTA.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Linear Convergence of ISTA and FISTA

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.032354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bc471bf-aaf9-444e-828e-94a024dbe7d5 · outbound

This paper cites Proximal Subgradient Norm Minimization of ISTA and FISTA.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Proximal Subgradient Norm Minimization of ISTA and FISTA

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.035405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbc17159-e38b-4dd9-acb5-19c128966914 · outbound

This paper cites an unresolved cited work.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.038313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b78b766-c56e-4d5f-8961-31dcf4a0c11e · outbound

This paper cites an unresolved cited work.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.040824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b6cee80-148c-471b-b589-cee6d5b7f067 · outbound

This paper cites Nesterov.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Nesterov

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.043279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 293655b0-9ed1-4d1c-bd0d-517457f83754 · outbound

This paper cites Nesterov.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Nesterov

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.046336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e2d76d1-a64f-4865-937c-588c19cf7df2 · outbound

This paper cites O’Donoghue and E.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms O’Donoghue and E

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.049106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd637d65-0ebf-4de7-bbe2-ca9cd156a961 · outbound

This paper cites an unresolved cited work.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.051614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f93a9adb-fa44-40c0-ae33-35eaf2f26e1b · outbound

This paper cites an unresolved cited work.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.054993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d75f3bc7-21a4-470e-8b6a-67bf24a4067b · outbound

This paper cites Wibisono, A.

Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms Wibisono, A

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:52.058283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 5be70913-fb09-426c-89d4-c9765c903b45 · inbound

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms cites this paper.

A Family of Controllable Momentum Coefficients for Forward-Backward Accelerated Algorithms Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T19:35:19.425496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fa509be-b354-4416-b4b0-12439c915505 · inbound

Modern Theory of Gradient-Based Optimization cites this paper.

Modern Theory of Gradient-Based Optimization Lyapunov Analysis For Monotonically Forward-Backward Accelerated Algorithms

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-06-30T02:54:10.172508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.