Paper Citation Record · LEDGER

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics

As of 21 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 4 inbound Pith citation observations for arXiv:2505.14389.

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

pith.paper-citation-record.v1
2505.14389 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:33.281865Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:07:11.165605Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T18:00:00.468236Z

Reference resolution

39 of 39 outbound references displayed

verified exact2
verified fuzzy34
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 79f6a182-03ee-423a-a47b-bab872a11420 · outbound

This paper cites Asymptotic development by Γ-convergence.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Asymptotic development by Γ-convergence

Reference 1

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Observation 6ea8884d-d777-46d1-a7b0-5072a9c23c3e · outbound

This paper cites Viscosity solutions of minimization problems.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Viscosity solutions of minimization problems

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:40.477660Z

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Observation a99c7bb4-35f3-479b-ad2c-fb06d2c2bc33 · outbound

This paper cites Convergence of iterates for first-order opti- mization algorithms with inertia and Hessian driven damping.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Convergence of iterates for first-order opti- mization algorithms with inertia and Hessian driven damping

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:40.311222Z

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Observation fa77b0e6-a271-4b8c-aa6f-3d96fd6e0576 · outbound

This paper cites Asymptotic behavior of coupled dynamical systems with multiscale aspects.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Asymptotic behavior of coupled dynamical systems with multiscale aspects

Reference 4

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Observation af9212af-8eb2-4320-b348-01952b4d45e1 · outbound

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

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics A fast iterative shrinkage-thresholding algorithm for linear inverse problems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:39.989210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8d893133-cf66-4d2d-b19a-838b7aa4b16f · outbound

This paper cites Coresets via bilevel optimization for continual learning and streaming.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Coresets via bilevel optimization for continual learning and streaming

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:39.823282Z

Source-reported events for the cited work

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Observation 2dfb2985-4dfd-4ed3-817c-06d7006a044b · outbound

This paper cites Generalized Fast Krasnoselskii–Mann method with preconditioners.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Generalized Fast Krasnoselskii–Mann method with preconditioners

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-07T15:42:33.779684Z

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Observation b7046a4b-c2ed-4a14-9c12-fcd5ca8aa708 · outbound

This paper cites Extra-Gradient Method with Flexible Anchoring: Strong Convergence and Fast Residual Decay.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Extra-Gradient Method with Flexible Anchoring: Strong Convergence and Fast Residual Decay

Reference 8

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Source-reported events for the cited work

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Observation 332e44fd-7b3d-4fa5-9eef-e2de3df60160 · outbound

This paper cites Fast optimistic gradient descent ascent (OGDA) method in continuous and discrete time.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Fast optimistic gradient descent ascent (OGDA) method in continuous and discrete time

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:39.611777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 778b327f-610e-48df-9f07-80be5fe98e61 · outbound

This paper cites Proximal point algorithm controlled by a slowly vanishing term: applications to hierarchical minimization.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Proximal point algorithm controlled by a slowly vanishing term: applications to hierarchical minimization

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:39.438567Z

Source-reported events for the cited work

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Observation 9fa49dac-6fbc-4bdb-bde5-df2535e701ff · outbound

This paper cites An accelerated gradient method for con- vex smooth simple bilevel optimization.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics An accelerated gradient method for con- vex smooth simple bilevel optimization

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:39.240242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ad84a793-0076-4fec-b033-a337819f5378 · outbound

This paper cites A hybrid proximal generalized conditional gradi- ent method and application to total variation parameter learning.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics A hybrid proximal generalized conditional gradi- ent method and application to total variation parameter learning

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:39.043051Z

Source-reported events for the cited work

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Observation 9feb6b74-07f0-4708-b4d7-022b6190591f · outbound

This paper cites Asymptotic analysis of the exponential penalty trajectory in linear programming.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Asymptotic analysis of the exponential penalty trajectory in linear programming

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:38.900894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 92f8d013-1463-4206-94ec-6e458f23a989 · outbound

This paper cites Viscosity solutions of Hamilton–Jacobi equations.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Viscosity solutions of Hamilton–Jacobi equations

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:38.709144Z

Source-reported events for the cited work

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Observation 6f49e26c-7143-411c-9f86-7a873b2b1a61 · outbound

This paper cites Sinkhorn distances: lightspeed computation of optimal transport.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Sinkhorn distances: lightspeed computation of optimal transport

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:38.495304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 79c18503-bb84-4963-ab08-0d5999c87cf9 · outbound

This paper cites Bilevel Optimization.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Bilevel Optimization

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:38.323689Z

Source-reported events for the cited work

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Observation bdd79fd1-d080-4a53-91e8-33d0e44446e6 · outbound

This paper cites Methodology and first-order algorithms for solving nonsmooth and non- strongly convex bilevel optimization problems.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Methodology and first-order algorithms for solving nonsmooth and non- strongly convex bilevel optimization problems

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:38.098183Z

Source-reported events for the cited work

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Observation bcc86ee8-b09c-4a83-ab93-d5629a26f99d · outbound

This paper cites Ekeland and R.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Ekeland and R

Reference 18

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Source-reported events for the cited work

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Observation dc5df60c-c93a-49e5-9841-6cb5a6c032fe · outbound

This paper cites Exact regularization of convex programs.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Exact regularization of convex programs

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:37.677284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 22b33290-1415-41ed-80bf-cb63dcbd6346 · outbound

This paper cites New proximal point algorithms for convex minimization.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics New proximal point algorithms for convex minimization

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:37.432894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fe042125-e742-4693-af14-9254d7536dc0 · outbound

This paper cites A method with convergence rates for optimization prob- lems with variational inequality constraints.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics A method with convergence rates for optimization prob- lems with variational inequality constraints

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:37.273022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3a56391f-304f-4248-a148-756d9c1b94d0 · outbound

This paper cites A bilevel optimization approach for parameter learning in variational models.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics A bilevel optimization approach for parameter learning in variational models

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:37.099334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 987a8748-43d0-4900-9b59-769eddb47995 · outbound

This paper cites On the convergence of proximal gradient methods for convex simple bilevel optimization.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics On the convergence of proximal gradient methods for convex simple bilevel optimization

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:36.880015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 93d7e769-29f7-4679-973c-f33c83169ffd · outbound

This paper cites On the convergence rate of the Halpern-iteration.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics On the convergence rate of the Halpern-iteration

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:36.647282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d82e0947-b773-4d3f-bbfb-62e4b1109300 · outbound

This paper cites Convex bi-level optimization problems with nonsmooth outer ob- jective function.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Convex bi-level optimization problems with nonsmooth outer ob- jective function

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:36.472271Z

Source-reported events for the cited work

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Observation 600a9ed3-8d96-42b9-845b-ea860b17e1e3 · outbound

This paper cites Dynamic FISTA for Convex Composite Bi-Level Optimization.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Dynamic FISTA for Convex Composite Bi-Level Optimization

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:42:33.486658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 90a65807-634f-4765-adad-3dbf006e7759 · outbound

This paper cites an unresolved cited work.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:36.204160Z

Source-reported events for the cited work

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Observation c0503f54-84e7-40b0-bcbc-a029b31bbb44 · outbound

This paper cites A method for solving the convex programming problem with convergence rate O(1/k2).

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics A method for solving the convex programming problem with convergence rate O(1/k2)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:35.961927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 351d129a-1130-4573-a126-4f71b71006a4 · outbound

This paper cites Weak convergence of the sequence of successive approximations for nonexpansive mappings.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Weak convergence of the sequence of successive approximations for nonexpansive mappings

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:35.709870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bc24a27d-dcc0-4d06-9dad-940c37c1ff70 · outbound

This paper cites Scikit-learn: machine learning in Python.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Scikit-learn: machine learning in Python

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:35.483422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8674128a-85f0-4ab2-8b75-d08cf6b0b2a5 · outbound

This paper cites Coupling the gradient method with a general exterior penalization scheme for convex minimization.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Coupling the gradient method with a general exterior penalization scheme for convex minimization

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:35.228430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 92b7b1cf-47aa-4875-924a-3bfa38abdfd2 · outbound

This paper cites Meta-learning with implicit gradients.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Meta-learning with implicit gradients

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:34.999259Z

Source-reported events for the cited work

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Observation 835b71d5-9e33-43d8-91ff-f9f02489c1ca · outbound

This paper cites A first order method for solving convex bilevel optimization problems.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics A first order method for solving convex bilevel optimization problems

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:34.856368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f979b5bf-74aa-48eb-bbf9-9344f774bff2 · outbound

This paper cites An explicit descent method for bilevel convex optimization.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics An explicit descent method for bilevel convex optimization

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:34.702848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5f6fd872-7fa0-414c-9e02-928c0282915b · outbound

This paper cites A bundle method for a class of bilevel nonsmooth convex minimization prob- lems.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics A bundle method for a class of bilevel nonsmooth convex minimization prob- lems

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:34.478159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 49667b7e-4f59-4d06-9210-c540c60dd83c · outbound

This paper cites A differential equation for modeling Nesterov’s accelerated gradient method: theory and insights.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics A differential equation for modeling Nesterov’s accelerated gradient method: theory and insights

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:34.284179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9341cdde-9629-43a8-894a-586fa4a35454 · outbound

This paper cites On the solution of incorrectly formulated problems and the regularization method.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics On the solution of incorrectly formulated problems and the regularization method

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:34.124488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b181d977-93c1-469e-b43b-1a049d0998c1 · outbound

This paper cites Wolberg, O.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Wolberg, O

Reference 38

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Source-reported events for the cited work

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Observation 276693d8-4018-4709-b0de-863154420851 · outbound

This paper cites Accelerated algorithms for smooth convex-concave minimax problems with O(1/k2) rate on squared gradient norm.

Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics Accelerated algorithms for smooth convex-concave minimax problems with O(1/k2) rate on squared gradient norm

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:33.940296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation ffcf6a87-99b8-48ca-ba79-706df0b8d2f7 · inbound

The iterates of FISTA converge even under inexact computations and stochastic gradients cites this paper.

The iterates of FISTA converge even under inexact computations and stochastic gradients Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T22:07:11.165605Z

Source-reported events for the cited work

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Observation bafec386-8ddf-44a8-821d-7d74676aafac · inbound

A Nesterov-Accelerated Primal-Dual Splitting Algorithm for Convex Nonsmooth Optimization cites this paper.

A Nesterov-Accelerated Primal-Dual Splitting Algorithm for Convex Nonsmooth Optimization Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:20:59.807327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 65bbdea4-746d-4404-b128-6138358a6321 · inbound

Accelerated Backward Forward Method for Convex Optimization cites this paper.

Accelerated Backward Forward Method for Convex Optimization Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-12T08:51:25.435276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a59cdfcb-4642-4160-8363-9df09b537857 · inbound

Variational convexity: new characterizations, calculus rules, and applications cites this paper.

Variational convexity: new characterizations, calculus rules, and applications Accelerating Diagonal Methods for Bilevel Optimization: Unified Convergence via Continuous-Time Dynamics

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:00:00.469861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.