Paper Citation Record · LEDGER

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm

As of 14 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2602.05893.

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

pith.paper-citation-record.v1
2602.05893 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:15:03.776750Z

measured 43 of 43 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T20:05:55.775362Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

verified exact0
verified fuzzy0
unresolved42
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 43d4711a-abdd-4acc-b5b5-bc3176e3cadb · outbound

This paper cites Fast Stochastic Second-Order Adagrad for Nonconvex Bound-Constrained Optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Fast Stochastic Second-Order Adagrad for Nonconvex Bound-Constrained Optimization

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T04:14:59.500120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32141bfb-beed-41c5-bc40-b6743aca3159 · outbound

This paper cites An objective- function-free algorithm for general smooth constrained optimiza tion.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm An objective- function-free algorithm for general smooth constrained optimiza tion

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T04:14:59.617715Z

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Unavailable: canonical work link unavailable.

Observation 634ac6de-e67d-49f0-b036-884e95290df4 · outbound

This paper cites ATE-SG: Alternate Through the Epochs Stochastic Gradient for Multi-Task Neural Networks.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm ATE-SG: Alternate Through the Epochs Stochastic Gradient for Multi-Task Neural Networks

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T04:14:59.669146Z

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Observation a269213c-acbe-4285-aa55-d89dbb33d9d2 · outbound

This paper cites an unresolved cited work.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T04:14:59.761799Z

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Unavailable: canonical work link unavailable.

Observation 960062a8-4594-4828-866d-7bddbfe0353c · outbound

This paper cites an unresolved cited work.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T04:14:59.979245Z

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Unavailable: canonical work link unavailable.

Observation fd45538b-be80-4758-adfd-2a12b4c90c0e · outbound

This paper cites Variable metric method for unconstrained mul- tiobjective optimization problems.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Variable metric method for unconstrained mul- tiobjective optimization problems

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:00.085339Z

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Unavailable: canonical work link unavailable.

Observation 22d9d262-34bd-4c7f-afa6-e2f6be86456b · outbound

This paper cites On the convergence of steepest descent methods for multiobjective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm On the convergence of steepest descent methods for multiobjective optimization

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:00.257723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a203b27-2f5b-4e46-9692-2cbbace17705 · outbound

This paper cites Direct multisearch for multiobjective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Direct multisearch for multiobjective optimization

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:00.368060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a00ced6-1f01-4f2f-b20d-10e2ccd902bb · outbound

This paper cites Benchmarking optimization software with performance proﬁles.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Benchmarking optimization software with performance proﬁles

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:00.465345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60357bc9-36ed-4cb7-8644-194eaaf75517 · outbound

This paper cites Adaptive subgradien t methods for online learning and stochastic optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Adaptive subgradien t methods for online learning and stochastic optimization

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:00.522404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6087580-6c51-4b85-b37a-a57d091d82e7 · outbound

This paper cites Proximity measures based o n KKT points for con- strained multi-objective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Proximity measures based o n KKT points for con- strained multi-objective optimization

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:00.648815Z

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Unavailable: canonical work link unavailable.

Observation 361725e6-8251-45c0-8f9b-e2501defee89 · outbound

This paper cites Gra˜ na Drummond, and Benar Fux S Svaiter.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Gra˜ na Drummond, and Benar Fux S Svaiter

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:00.728118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 141d1be4-93da-45e0-9a69-697ba6805f0f · outbound

This paper cites Steepest descent method s for multicriteria optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Steepest descent method s for multicriteria optimization

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:00.851262Z

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Observation 45df9199-4b47-4bf3-939f-d4897be0c02e · outbound

This paper cites Complexity of gradient descent for mul- tiobjective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Complexity of gradient descent for mul- tiobjective optimization

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:00.989299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b52035a-1bbd-4569-8138-1a67500b2eb1 · outbound

This paper cites An external penalty-type method for multicriteria.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm An external penalty-type method for multicriteria

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:01.140722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0001174b-784b-48af-9093-cb5950839da2 · outbound

This paper cites A barrier-type method for multiobjective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm A barrier-type method for multiobjective optimization

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:01.251275Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04988c02-077d-4016-b818-ef63f178c7a0 · outbound

This paper cites Globally convergent Newton-type methods for multiobjective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Globally convergent Newton-type methods for multiobjective optimization

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:01.373056Z

Source-reported events for the cited work

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Observation 6c504019-f79e-486c-b4ee-4cab5d54c32f · outbound

This paper cites an unresolved cited work.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:01.497832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48fff697-7168-4639-bfb6-025020f0f39d · outbound

This paper cites An adaptive trust-reg ion method without function evaluations.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm An adaptive trust-reg ion method without function evaluations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:01.633951Z

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Unavailable: canonical work link unavailable.

Observation 1d448a23-6786-4862-b55d-098cedea49da · outbound

This paper cites Complexity of a class of ﬁrst-order objective-function-free optimization algorithms.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Complexity of a class of ﬁrst-order objective-function-free optimization algorithms

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:01.779172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1daa95ff-99c3-42a1-98c9-3f1b0ddb6370 · outbound

This paper cites Complexity of Adagrad and other first-order methods for nonconvex optimization problems with bounds constraints.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Complexity of Adagrad and other first-order methods for nonconvex optimization problems with bounds constraints

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:01.954866Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74e3ee80-e6c3-4dbd-9c25-9d2d85fc5dc6 · outbound

This paper cites Multilevel objective-function-free optimization with an application to neural networks training.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Multilevel objective-function-free optimization with an application to neural networks training

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.001798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1dee2006-ee9d-4697-8d0b-a2a48dd6fefd · outbound

This paper cites S2MPJ and CUTEst optimizatio n problems for Matlab, Python and Julia.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm S2MPJ and CUTEst optimizatio n problems for Matlab, Python and Julia

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.139835Z

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Unavailable: canonical work link unavailable.

Observation bd74ec3f-a45f-4d06-8c07-3e079a495f67 · outbound

This paper cites Stochastic multi-objective op timization: a survey on non-scalarizing methods.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Stochastic multi-objective op timization: a survey on non-scalarizing methods

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.199880Z

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Observation a1a60df7-72d5-4c02-b50e-ebf49fbd9bf1 · outbound

This paper cites ASMOP: Additional sampling stochastic trust region method for multi-objective problems.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm ASMOP: Additional sampling stochastic trust region method for multi-objective problems

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.279607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9be13368-a205-48d6-9517-9b18e397892c · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Adam: A Method for Stochastic Optimization

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.360140Z

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Observation 46396275-920a-41f5-b9bc-d5a050c22870 · outbound

This paper cites Improved front stee pest descent for multi-objective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Improved front stee pest descent for multi-objective optimization

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.469953Z

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Observation e55f0410-675a-4b97-a70a-0aab69ab0746 · outbound

This paper cites A limited memory Quasi-N ewton approach for multi-objective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm A limited memory Quasi-N ewton approach for multi-objective optimization

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.553349Z

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Observation 870534ad-2db5-4fb6-86e5-8436a52bd89e · outbound

This paper cites Effective Front-Descent Algorithms with Convergence Guarantees.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Effective Front-Descent Algorithms with Convergence Guarantees

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.665985Z

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Observation 438189a3-b993-4bfe-a6c5-f2c9e309a203 · outbound

This paper cites The stochastic multi-gradient algorithm for multi- objective optimization and its application to supervised machine learn ing.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm The stochastic multi-gradient algorithm for multi- objective optimization and its application to supervised machine learn ing

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.748379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 846ed9d9-c105-4379-95dd-6e4d4badcd32 · outbound

This paper cites A derivat ive-free approach to constrained multiobjective nonsmooth optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm A derivat ive-free approach to constrained multiobjective nonsmooth optimization

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.817631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75cd004f-f7f1-4899-aea0-a441f8fa2299 · outbound

This paper cites Adaptive Bound Optimization for Online Convex Optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Adaptive Bound Optimization for Online Convex Optimization

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.866001Z

Source-reported events for the cited work

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Observation 5e604381-c812-4a85-b1dc-cdba1168cc2c · outbound

This paper cites an unresolved cited work.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:02.915224Z

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Observation bc4f9f85-a905-44b1-a4e7-cc58227b1cc8 · outbound

This paper cites Decomposed descent methods in multiobjective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Decomposed descent methods in multiobjective optimization

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:03.024649Z

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Observation 2be4018f-1cce-47d2-9df9-56542af34047 · outbound

This paper cites A trust region approach for multi-objective heterogeneous optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm A trust region approach for multi-objective heterogeneous optimization

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:03.133197Z

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Unavailable: canonical work link unavailable.

Observation bd938f51-f7a7-475b-9434-5ccc9f809c1f · outbound

This paper cites A trust-region algorithm for heterogeneous multi- objective optimization.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm A trust-region algorithm for heterogeneous multi- objective optimization

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:03.185550Z

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Observation 2a6da16e-2c93-4e47-8e23-40100f978828 · outbound

This paper cites Lecture 6.5-rmsprop, cou rsera: Neural networks for machine learning.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Lecture 6.5-rmsprop, cou rsera: Neural networks for machine learning

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:03.254964Z

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Observation d3e4c509-73e5-486b-ae29-99cb7980ac16 · outbound

This paper cites Some bounds for the logarithmic function.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Some bounds for the logarithmic function

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:03.324963Z

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Observation 4769bae5-dbe1-4c14-bf35-21b10f8f4354 · outbound

This paper cites an unresolved cited work.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:03.464564Z

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Observation 730b96e4-f86f-4658-91b4-ef7567c7f202 · outbound

This paper cites Adagrad stepsizes : Sharp convergence over nonconvex landscapes.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Adagrad stepsizes : Sharp convergence over nonconvex landscapes

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:03.611360Z

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Observation 79d0f3b8-3e4a-490e-af0d-b86c42d4264e · outbound

This paper cites ADADELTA: An Adaptive Learning Rate Method.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm ADADELTA: An Adaptive Learning Rate Method

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T04:15:03.776750Z

Source-reported events for the cited work

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Observation de5a8f34-6f6a-466b-ade1-0858cb810cd0 · outbound

This paper cites an unresolved cited work.

Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm Unresolved cited work

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-03T04:14:59.867504Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 9c804fa9-6c49-48b6-acbf-b8220346b0f3 · inbound

LemmaBench: A Live, Research-Level Benchmark to Evaluate LLM Capabilities in Mathematics cites this paper.

LemmaBench: A Live, Research-Level Benchmark to Evaluate LLM Capabilities in Mathematics Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-02T20:05:55.775362Z

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