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Paper Citation Record · LEDGER

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 8 inbound Pith citation observations for arXiv:2505.11670.

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

pith.paper-citation-record.v1
2505.11670 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:00:36.279604Z

measured 48 of 48 standing notices

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measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:54:01.220962Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T20:05:04.717541Z

Reference resolution

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation 17063cbf-0c14-4d9e-87fa-4660b4a60ef1 · outbound

This paper cites From Nesterov’s estimate sequence to Riemannian accelera- tion.International Conference on Machine Learning, 2020.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization From Nesterov’s estimate sequence to Riemannian accelera- tion.International Conference on Machine Learning, 2020

Reference 1

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Observation 7fa5e76b-3bc4-43d2-84ec-cdb63d31e443 · outbound

This paper cites Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity .Mathematical Programming, 168(1):123–175, 2018.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity .Mathematical Programming, 168(1):123–175, 2018

Reference 2

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Observation b7210c67-be1e-4755-9415-4b281f0e526d · outbound

This paper cites Potential-function proofs for gradient methods.Theory of Computing, 15(4):1–32, 2019.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Potential-function proofs for gradient methods.Theory of Computing, 15(4):1–32, 2019

Reference 3

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Observation 950e3725-4d9b-45c9-bdd4-ea950ffab86e · outbound

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An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Unresolved cited work

Reference 4

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Observation 420674c4-0d89-4a91-a0f7-72bc0d2c4cda · outbound

This paper cites A fast iterative shrinkage-thresholding algorithm for linear inverse problems.SIAM Journal on Imaging Sciences, 2(1):183–202, 2009.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization A fast iterative shrinkage-thresholding algorithm for linear inverse problems.SIAM Journal on Imaging Sciences, 2(1):183–202, 2009

Reference 5

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Observation ebfb3980-d968-4e4c-a436-14226761864a · outbound

This paper cites An accel- erated gradient method for convex smooth simple bilevel optimization.Neural Information Processing Systems, 2024.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization An accel- erated gradient method for convex smooth simple bilevel optimization.Neural Information Processing Systems, 2024

Reference 6

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Observation 02e52dba-7f19-4eb5-b439-357989786fa0 · outbound

This paper cites fast iterative shrink- age/thresholding algorithm.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization fast iterative shrink- age/thresholding algorithm

Reference 7

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Observation 0123f867-614e-418e-ba96-d964a9950cc5 · outbound

This paper cites LIBSVM: A library for support vector machines.ACM Transactions on Intelligent Systems and Technology, 2(3), 2011.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization LIBSVM: A library for support vector machines.ACM Transactions on Intelligent Systems and Technology, 2(3), 2011

Reference 8

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Observation 3640cf6f-2b59-4b28-9278-804ceafae7a5 · outbound

This paper cites Penalty-based methods for simple bilevel optimization under H¨olderian error bounds.Neural Information Processing Systems, 2024.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Penalty-based methods for simple bilevel optimization under H¨olderian error bounds.Neural Information Processing Systems, 2024

Reference 9

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Observation 4c32f384-5bee-4574-9b1e-0ec9093f5904 · outbound

This paper cites Acceleration methods.Founda- tions and Trends® in Optimization, 5(1-2):1–245, 2021.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Acceleration methods.Founda- tions and Trends® in Optimization, 5(1-2):1–245, 2021

Reference 10

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Observation 553682e7-2f50-44be-b085-1cddb7ec3236 · outbound

This paper cites The exact information-based complexity of smooth convex minimization.Journal of Complexity, 39:1–16, 2017.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization The exact information-based complexity of smooth convex minimization.Journal of Complexity, 39:1–16, 2017

Reference 11

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An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Unresolved cited work

Reference 12

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An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Unresolved cited work

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An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Unresolved cited work

Reference 14

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Reference 15

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An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Unresolved cited work

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Reference 17

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An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Unresolved cited work

Reference 18

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Observation 84aed3dd-75eb-4b7a-adff-2743b13cfed3 · outbound

This paper cites Accelerated gradient methods for geodesically convex opti- mization: Tractable algorithms and convergence analysis.International Conference on Machine Learning, 2022.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Accelerated gradient methods for geodesically convex opti- mization: Tractable algorithms and convergence analysis.International Conference on Machine Learning, 2022

Reference 19

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Observation 97892728-ff7f-4cdf-85fe-7b870b416dba · outbound

This paper cites Unifying Nesterov’s accelerated gradient methods for convex and strongly convex objective functions.International Conference on Machine Learning, 2023.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Unifying Nesterov’s accelerated gradient methods for convex and strongly convex objective functions.International Conference on Machine Learning, 2023

Reference 20

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Observation b89afde5-bd60-488f-b4f2-36ec17e57209 · outbound

This paper cites Minimization of functions having Lipschitz continuous first partial derivatives.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Minimization of functions having Lipschitz continuous first partial derivatives

Reference 21

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Observation f9479abd-c33a-4e2f-8e0f-305bb503379c · outbound

This paper cites On the convergence of adaptive first order methods: Proximal gradient and alternating minimization algorithms.Learning for Dynamics & Control Conference, 2024.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization On the convergence of adaptive first order methods: Proximal gradient and alternating minimization algorithms.Learning for Dynamics & Control Conference, 2024

Reference 22

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Observation c5bc7c19-a1e5-4d95-b683-3702f35df7cb · outbound

This paper cites Adaptive proximal algorithms for convex optimization under local Lipschitz continuity of the gradient.Mathe- matical Programming, 2024.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Adaptive proximal algorithms for convex optimization under local Lipschitz continuity of the gradient.Mathe- matical Programming, 2024

Reference 23

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This paper cites an unresolved cited work.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Unresolved cited work

Reference 24

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Observation d652d158-c9ec-475c-b96e-27438521f17d · outbound

This paper cites A simple uniformly optimal method without line search for convex optimization.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization A simple uniformly optimal method without line search for convex optimization

Reference 25

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Observation 5d7e953c-b8f7-4729-9387-e4511d8b3da0 · outbound

This paper cites Adaptive gradient descent without descent.Inter- national Conference on Machine Learning, 2020.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Adaptive gradient descent without descent.Inter- national Conference on Machine Learning, 2020

Reference 26

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Observation 836e788b-b669-450f-90e4-8001875c63e4 · outbound

This paper cites Adaptive proximal gradient method for convex optimization.Neural Information Processing Systems, 2024.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Adaptive proximal gradient method for convex optimization.Neural Information Processing Systems, 2024

Reference 27

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Observation bf8726e1-36ba-4955-944e-67a9ba3816c5 · outbound

This paper cites A method of solving a convex programming problem with convergence rate O(1/k2).Doklady Akademii Nauk SSSR, 269(3):543–547, 1983.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization A method of solving a convex programming problem with convergence rate O(1/k2).Doklady Akademii Nauk SSSR, 269(3):543–547, 1983

Reference 28

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Observation 0dca8768-1ec1-4f6d-8845-b2324599e1dd · outbound

This paper cites Springer, 2004.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Springer, 2004

Reference 29

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Observation 617a9e32-0cb3-45c8-b182-dc3d2c1deed9 · outbound

This paper cites Universal gradient methods for convex optimization problems.Mathematical Programming, 152(1):381–404, 2015.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Universal gradient methods for convex optimization problems.Mathematical Programming, 152(1):381–404, 2015

Reference 30

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Observation 4487ecde-a931-4031-ae39-07ca28661519 · outbound

This paper cites Adaptive proximal gradient methods are universal without approximation.Interna- tional Conference on Machine Learning, 2024.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Adaptive proximal gradient methods are universal without approximation.Interna- tional Conference on Machine Learning, 2024

Reference 31

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Observation 1a37b54d-2cc2-405a-a717-c6942aac7c1e · outbound

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An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Unresolved cited work

Reference 32

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Observation b66d3835-3103-4c2d-9472-1b085fae6f5d · outbound

This paper cites Du, Michael I.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Du, Michael I

Reference 33

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raw_fallback, observed 2026-08-15T21:00:36.634210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:00:36.231865Z digest=sha256:f1b0525a1e56013aaf288e45c63ea8a06d268d590ac9ecb10032245f3227de73

Observation 34aa129d-f318-49a9-a4eb-1868c4669598 · outbound

This paper cites Cand `es.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Cand `es

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:00:36.612469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:00:36.238624Z digest=sha256:7b31382e3a2a3173bc8d92f9f1bac63fa9526af1f359ae1a2b9df11915d762a0

Observation 676dca46-b6fd-4275-8110-37444d4bb717 · outbound

This paper cites Cand `es.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Cand `es

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:00:36.588846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:00:36.245524Z digest=sha256:597727a2c2aeb24af5776706ca4c32aa8e0bc734604ef206ff41f54ad34a6ab1

Observation 7b81c1e9-a2ce-4d5f-9857-29d7728c77a2 · outbound

This paper cites Suh, Jisun Park, and Ernest K.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Suh, Jisun Park, and Ernest K

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:00:36.557343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:00:36.251617Z digest=sha256:8a437eba68ece0ff1e761948e116797a718128aade1822afca08872e6c85fa5a

Observation 7a04a733-64ae-4b76-b02d-13ec61f92e82 · outbound

This paper cites Suh, Gyumin Roh, and Ernest K.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Suh, Gyumin Roh, and Ernest K

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:00:36.534670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:00:36.258830Z digest=sha256:755ef0e30806eac63b8d23382561a50928f17dcb8dd9eb008102808d13180beb

Observation a03f2b19-ba97-4679-9e2f-3ee6cbc01d9f · outbound

This paper cites Stochastic first-order methods: Non-asymptotic and computer-aided analyses via potential functions.Conference on Learning Theory, 2019.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Stochastic first-order methods: Non-asymptotic and computer-aided analyses via potential functions.Conference on Learning Theory, 2019

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:00:36.513979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:00:36.265139Z digest=sha256:5596c6a8f52b104bb572e9fedabdd71cb43cd030b362f1bd1c0fdf2babb47021

Observation efeb5b87-1f5e-4095-b559-6cc1c713ceea · outbound

This paper cites Wilson, and Michael I.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization Wilson, and Michael I

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:00:36.492377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:00:36.272426Z digest=sha256:561ca8666c8b01b9e55c890187abc53aa49379947618660c7fa8b9ca2a38c352

Observation 0dffd953-ad59-4681-bfdb-139fda007e3b · outbound

This paper cites AdaBB: Adaptive Barzilai-Borwein method for convex optimization.Mathematics of Operations Research, 2025.

An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization AdaBB: Adaptive Barzilai-Borwein method for convex optimization.Mathematics of Operations Research, 2025

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:00:36.470336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:00:36.279604Z digest=sha256:b6dd976f6063fee0967af17843822ecfca2922912715e37d99d7d6b4d2b2781c

Pith citing papers

Observation 2892f6ac-b865-4f2d-b095-dc44e74f3252 · inbound

Linesearch-free adaptive Bregman proximal gradient for convex minimization under local relative smoothness cites this paper.

Linesearch-free adaptive Bregman proximal gradient for convex minimization under local relative smoothness An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-06T05:56:11.926307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T05:56:11.926307Z digest=sha256:49ac470468dec09dc61d4ae23bbd42b4e7fd88e3f77aaed1f184dcf43039dfc6

Observation 221950fd-0038-4033-a8f8-fcf54e50d6cc · inbound

Adaptive Conditional Gradient Sliding: Projection-Free and Line-Search-Free Acceleration cites this paper.

Adaptive Conditional Gradient Sliding: Projection-Free and Line-Search-Free Acceleration An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-15T15:54:01.220962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:54:01.220962Z digest=sha256:7b3ffcbd044db41434d29228150524d0d8df7a901b45bfbe78b388f0fc4135da

Observation 147e7abe-54b3-4f30-8373-fa087e08f3ba · inbound

Universal and Parameter-free Gradient Sliding for Composite Optimization cites this paper.

Universal and Parameter-free Gradient Sliding for Composite Optimization An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-21T10:30:00.359166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-21T10:26:12.965171Z digest=sha256:320f63a748b2fdbd482d58f40f4e04262fdbc0f3594dc8a5b71a799e895791c1

Observation 9485163c-9c94-4435-bfb1-43fa9d7db78c · inbound

Stochastic Auto-conditioned Fast Gradient Methods with Optimal Rates cites this paper.

Stochastic Auto-conditioned Fast Gradient Methods with Optimal Rates An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization

Reference 25

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T00:41:05.427182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-10T18:23:59.771222Z digest=sha256:eccc4c3b90c83df74032ca256a7d3250367b660767dc1d6d643a3d6390880dd5

Observation 5f5aec34-0fd0-4bf6-9e7b-bf7d1882284b · inbound

Auto-Conditioned Frank-Wolfe Algorithms cites this paper.

Auto-Conditioned Frank-Wolfe Algorithms An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-05-19T15:37:37.285325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-19T15:34:35.086823Z digest=sha256:d48b391b53105fbb995d376e17cb27f6f72a05d4fddf724e29deeaf343c0b955

Observation 9d5822cf-4524-43d4-92bd-f65f0e9f313e · inbound

Auto-Conditioned Frank-Wolfe Algorithms cites this paper.

Auto-Conditioned Frank-Wolfe Algorithms An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-06-30T20:05:04.719271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T20:01:43.310456Z digest=sha256:00980450a76ee0ab5b62cc9fa4809bba7b2d2a1fb107f978eefc19a44c172323

Observation f51df9a8-62ef-4923-92b1-6e9b35a593bc · inbound

Optimal Parameter-Free First-Order Methods for Convex Optimization with Unknown Growth and Smoothness cites this paper.

Optimal Parameter-Free First-Order Methods for Convex Optimization with Unknown Growth and Smoothness An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-14T02:28:43.704810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T02:28:43.704810Z digest=sha256:ec53f9ccb617a8dcc9d61ebdc41b2892ea32bc872da6a89be52d41d7ec6f4b1e

Observation bfc0e496-c14b-4349-8a52-f20e211b59a7 · inbound

Optimal Nonergodic Primal-Dual Complexity of Efficient Inexact Parameter-Free Augmented Lagrangian Methods cites this paper.

Optimal Nonergodic Primal-Dual Complexity of Efficient Inexact Parameter-Free Augmented Lagrangian Methods An Adaptive and Parameter-Free Nesterov's Accelerated Gradient Method for Convex Optimization

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-11T04:26:16.692003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:26:16.692003Z digest=sha256:e423b4c7491b10d12f8ef73bb16b8504c923e5d435ef5347c92dcd2140b05fcc