Paper Citation Record · LEDGER

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization

As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2412.14007.

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

pith.paper-citation-record.v1
2412.14007 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:43:14.590382Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

23 of 23 outbound references displayed

verified exact0
verified fuzzy20
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 07c62ce3-0f84-4e69-8aa2-4cf6fb16679a · outbound

This paper cites Bonnel, A.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Bonnel, A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:15.137479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9580d0be-8e21-40d5-99a6-342282a24fd8 · outbound

This paper cites an unresolved cited work.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:43:15.121769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5ed39afe-c575-4fde-8c75-dfc011c32759 · outbound

This paper cites Fliege and B.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Fliege and B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:15.105292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b8edde11-159b-45ab-8c7c-71c78b0a4ac1 · outbound

This paper cites Fliege, L.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Fliege, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:15.088319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aa7af210-2414-4303-a840-f2db68b39737 · outbound

This paper cites an unresolved cited work.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:43:15.071318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 64756358-b846-45a0-a554-e8e12469ae92 · outbound

This paper cites an unresolved cited work.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:43:15.048502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3a5af08e-639c-4146-aaff-87a251ced6c3 · outbound

This paper cites A method for solving the convex programming problem with convergence rate O(1/k2)[C]//Dokl akad nauk Sssr.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization A method for solving the convex programming problem with convergence rate O(1/k2)[C]//Dokl akad nauk Sssr

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:15.033577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2d5c7efb-51df-4845-bd5b-1d32a79a8c09 · outbound

This paper cites A fast iterative shrinkage-thresholding algorithm for linear inverse problems[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization A fast iterative shrinkage-thresholding algorithm for linear inverse problems[J]

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:15.015121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a47875c7-9717-41aa-a852-f1b6843afe0f · outbound

This paper cites Introductory lectures on convex optimization: A basic course[M].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Introductory lectures on convex optimization: A basic course[M]

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.993625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 251fb2e0-35b9-4770-9ba8-773d53f0334e · outbound

This paper cites Smooth minimization of non-smooth functions[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Smooth minimization of non-smooth functions[J]

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.977718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a72615c6-6d17-42bb-9a80-b19fd9c1247c · outbound

This paper cites On accelerated proximal gradient methods for convex-concave optimization[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization On accelerated proximal gradient methods for convex-concave optimization[J]

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.960260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9396f409-4d49-4d72-98ff-968c974359d7 · outbound

This paper cites An accelerated proximal gradient method for multiobjective optimization[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization An accelerated proximal gradient method for multiobjective optimization[J]

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.942461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5bd84c72-9ce8-4a10-ac04-763de79ddf96 · outbound

This paper cites Fast first-order methods for composite convex optimization with backtracking[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Fast first-order methods for composite convex optimization with backtracking[J]

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.927620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b1b5391c-8f07-44f1-b02b-a3ac6fca8790 · outbound

This paper cites Nonlinear Programming, Athena Scientific, Belmont, Massachusetts[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Nonlinear Programming, Athena Scientific, Belmont, Massachusetts[J]

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.911141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7b315c63-3214-457d-a7d9-2af9283771bc · outbound

This paper cites Rockafellar, Convex analysis, Princeton University Press, 1997.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Rockafellar, Convex analysis, Princeton University Press, 1997

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.895278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation eb10ce63-7291-4024-817c-780b2f3dec77 · outbound

This paper cites Tanabe, E.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Tanabe, E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.879667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1a72705d-ea63-4022-b20d-ab6c58efa5f0 · outbound

This paper cites A review of multiobjective test problems and a scalable test problem toolkit[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization A review of multiobjective test problems and a scalable test problem toolkit[J]

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.863254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8d696951-ef6f-4790-a96a-f68a00c97072 · outbound

This paper cites Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems[J]

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.847707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 86bc8bf3-151e-4a21-9957-5a4cdd3331b7 · outbound

This paper cites Generalized homotopy approach to multiobjective opti- mization[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Generalized homotopy approach to multiobjective opti- mization[J]

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.829448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b84e0abb-d27a-4845-b36d-3861f59b820a · outbound

This paper cites A Barzilai-Borwein descent method for mul- tiobjective optimization problems[J].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization A Barzilai-Borwein descent method for mul- tiobjective optimization problems[J]

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.811567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bb0f5ce8-4f84-4435-9aed-59dada61b7bc · outbound

This paper cites Dynamic weighted aggregation for evolutionary multi-objective optimization: Why does it work and how[C]//Proceedings of the genetic and evolutionary computation con- ference.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Dynamic weighted aggregation for evolutionary multi-objective optimization: Why does it work and how[C]//Proceedings of the genetic and evolutionary computation con- ference

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.795892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ed68140f-e7bc-48ab-8c54-b5d43f6a30a5 · outbound

This paper cites Pareto set and EMOA behavior for simple multimodal multiobjective functions[C]//International Conference on Parallel Problem Solving from Nature.

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Pareto set and EMOA behavior for simple multimodal multiobjective functions[C]//International Conference on Parallel Problem Solving from Nature

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.779821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 205aca45-0b00-4b19-bf02-eddf660d872e · outbound

This paper cites Numerical algorithms for the treatment of parametric multiobjective optimization problems and applications[D].

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization Numerical algorithms for the treatment of parametric multiobjective optimization problems and applications[D]

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:43:14.635073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.