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Paper Citation Record · LEDGER

Accelerated Proximal Gradient Method with Backtracking for Multiobjective Optimization

As of 12 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 2026-08-12T06:34:41.77262+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

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  • verified fuzzy20
  • unresolved3
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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:43:14.580242Z digest=sha256:e012a5fed7a8eef45686ba459b6dae1ff8299f99d43867f9703e596a4e683e9b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:43:14.585633Z digest=sha256:0f187a79b6ca14002264e252a57930ccdc57f252223cd6e3043938c2e96799da

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 2026-08-12T06:34:41.77262+00:00.

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Pith citing papers

No inbound Pith citation observations are available.