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Paper Citation Record · LEDGER

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles

As of 8 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 2 inbound Pith citation observations for arXiv:2502.08835.

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

pith.paper-citation-record.v1
2502.08835 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:41:20.458707Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:32:37.505199Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T23:35:13.309563Z

Reference resolution

63 of 63 outbound references displayed

  • verified exact0
  • verified fuzzy56
  • unresolved7
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4971fec3-26a8-4cc0-aadd-fac3ba6ab467 · outbound

This paper cites Convex optimization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Convex optimization

Reference 1

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Observation b9d9da10-8f4b-42d7-9c4c-fb6f5be2e303 · outbound

This paper cites Handbook of semidefinite programming: theory, algorithms, and applications , volume 27.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Handbook of semidefinite programming: theory, algorithms, and applications , volume 27

Reference 2

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Observation 46c3bcbb-ceb8-4847-b04e-cd28f1f05154 · outbound

This paper cites A Primal-Dual Frank-Wolfe Algorithm for Linear Programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A Primal-Dual Frank-Wolfe Algorithm for Linear Programming

Reference 3

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Source-reported events for the cited work

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Observation ac623cb0-b7af-4c36-9bd7-a1f80616a0e8 · outbound

This paper cites An overview and compa rison of spectral bundle methods for primal and dual semidefinite programs.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles An overview and compa rison of spectral bundle methods for primal and dual semidefinite programs

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 0f446335-ed9b-482a-a8e9-ebfad08200eb · outbound

This paper cites Revisiting spectral bundle metho ds: Primal-dual (sub) linear convergence rates.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Revisiting spectral bundle metho ds: Primal-dual (sub) linear convergence rates

Reference 5

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 949bf6c4-079d-4ba1-963f-768496d8c13b · outbound

This paper cites Scalable semidefinite programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Scalable semidefinite programming

Reference 6

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e5bcf922-b06c-4e7e-a34a-259747d14d93 · outbound

This paper cites Chordal and factor-width decompo- sitions for scalable semidefinite and polynomial optimization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Chordal and factor-width decompo- sitions for scalable semidefinite and polynomial optimization

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 288bd54c-c80c-4d62-915b-58f50d2ced90 · outbound

This paper cites Improved approximation alg orithms for maximum cut and satisfiability problems using semidefinite programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Improved approximation alg orithms for maximum cut and satisfiability problems using semidefinite programming

Reference 8

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Observation ed256fc2-94d2-491c-9aee-43532de12d53 · outbound

This paper cites On the constr uction of Lyapunov functions using the sum of squares decomposition.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles On the constr uction of Lyapunov functions using the sum of squares decomposition

Reference 9

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Source-reported events for the cited work

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Observation a895ae01-1756-4c8d-9c3e-72147805f29a · outbound

This paper cites Decoding binary node labels from censored edge measurements: Phase transition and efficient recovery.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Decoding binary node labels from censored edge measurements: Phase transition and efficient recovery

Reference 10

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 483d3191-5dfe-4e10-bc4c-ca88dba00d61 · outbound

This paper cites Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation c7b23fb8-c776-45ae-8856-5fd4c16bf2c0 · outbound

This paper cites Low-rank matrix recovery from errors and erasures.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Low-rank matrix recovery from errors and erasures

Reference 12

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0ca04601-96bb-4dc5-a83e-35c1ab535dae · outbound

This paper cites PEPit: computer-assisted worst-case analyses of fir st-order optimization methods in Python.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles PEPit: computer-assisted worst-case analyses of fir st-order optimization methods in Python

Reference 13

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Observation 40006afa-5fce-442c-a4e3-ae959dbf8ae6 · outbound

This paper cites On the scalability and memory efficiency of semidefinite programs for L ipschitz constant estimation of neural networks.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles On the scalability and memory efficiency of semidefinite programs for L ipschitz constant estimation of neural networks

Reference 14

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 21e92e8d-4659-4ffb-bcd3-56bc67b60860 · outbound

This paper cites Augmented Lagrangians and applications of the proximal point algorithm in convex programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Augmented Lagrangians and applications of the proximal point algorithm in convex programming

Reference 15

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5d6b91e2-1484-44a6-9353-194e43a6fe23 · outbound

This paper cites Multiplier and gradient methods.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Multiplier and gradient methods

Reference 16

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Observation 7213ef7e-425f-4adb-89a8-50403e919580 · outbound

This paper cites A method for nonlinear constraints in minimizatio n problems.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A method for nonlinear constraints in minimizatio n problems

Reference 17

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 18b8ba85-0ef5-4a19-a468-6ffbb68c0949 · outbound

This paper cites Monotone operators and the proximal p oint algorithm.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Monotone operators and the proximal p oint algorithm

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9c15e9e0-f2da-48a6-8c42-6dbe33818e1e · outbound

This paper cites Asymptotic convergence analysis of t he proximal point algorithm.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Asymptotic convergence analysis of t he proximal point algorithm

Reference 19

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Source-reported events for the cited work

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Observation 95869dfc-188b-4b47-b830-0db3817e75ec · outbound

This paper cites On the R-superlinear c onvergence of the KKT residuals generated by the augmented Lagrangian method for convex comp osite conic programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles On the R-superlinear c onvergence of the KKT residuals generated by the augmented Lagrangian method for convex comp osite conic programming

Reference 20

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 51ec75e0-6d2c-4928-9842-e09ba144fb8d · outbound

This paper cites Iteration complexity of inexact augmented Lagr angian methods for constrained convex programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Iteration complexity of inexact augmented Lagr angian methods for constrained convex programming

Reference 21

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Observation e3df9c21-3f92-45a1-a3ad-50566cbf3cef · outbound

This paper cites Inexact augmented Lagrangian methods for conic opti- mization: Quadratic growth and linear convergence.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Inexact augmented Lagrangian methods for conic opti- mization: Quadratic growth and linear convergence

Reference 22

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation c5864a9b-21b6-474c-a326-e26c16e6705b · outbound

This paper cites A se mismooth Newton-CG based dual PPA for matrix spectral norm approximation problems.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A se mismooth Newton-CG based dual PPA for matrix spectral norm approximation problems

Reference 23

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 756df456-e2ef-4e70-9e18-6413b48ad9bb · outbound

This paper cites Sdpnal+: A matlab software for semidefinite programming with bound constraints (version 1.0).

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Sdpnal+: A matlab software for semidefinite programming with bound constraints (version 1.0)

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 78beae6e-abf7-4d37-bdc9-92ed8c6c7c84 · outbound

This paper cites A conditional- gradient-based augmented Lagrangian framework.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A conditional- gradient-based augmented Lagrangian framework

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 52fcd9b6-b389-43aa-b24f-1d4640ef6e56 · outbound

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

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A fast iterative shrinkage-thresh olding algorithm for linear inverse problems

Reference 26

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raw_fallback, observed 2026-08-07T23:41:21.061682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8e497f93-c3f2-407c-999e-d6b0c1448515 · outbound

This paper cites An algorithm for quadratic p rogramming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles An algorithm for quadratic p rogramming

Reference 27

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raw_fallback, observed 2026-08-07T23:41:21.049250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 145ed672-73e2-41d9-aebd-a4aabc1f73ef · outbound

This paper cites Sdpnal+: a majoriz ed semismooth Newton-CG aug- mented Lagrangian method for semidefinite programming with nonne gative constraints.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Sdpnal+: a majoriz ed semismooth Newton-CG aug- mented Lagrangian method for semidefinite programming with nonne gative constraints

Reference 28

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raw_fallback, observed 2026-08-07T23:41:21.037457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a14c9551-b447-48ed-b146-a60d54b97f78 · outbound

This paper cites A Newton-CG a ugmented Lagrangian method for semidefinite programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A Newton-CG a ugmented Lagrangian method for semidefinite programming

Reference 29

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raw_fallback, observed 2026-08-07T23:41:21.024274Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 74db9424-15c1-4672-a36e-1a0001f0ba55 · outbound

This paper cites Iteration-complexity o f first-order augmented Lagrangian methods for convex programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Iteration-complexity o f first-order augmented Lagrangian methods for convex programming

Reference 30

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a743ff49-ab99-41e2-98c7-7a0a843a1cb0 · outbound

This paper cites Sum of squares basis pursuit wit h linear and second order cone programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Sum of squares basis pursuit wit h linear and second order cone programming

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5fee61b0-e6b3-4e66-bcd7-02714d50ad25 · outbound

This paper cites Bloc k factor-width-two matrices and their applications to semidefinite and sum-of-squares optimization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Bloc k factor-width-two matrices and their applications to semidefinite and sum-of-squares optimization

Reference 32

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raw_fallback, observed 2026-08-07T23:41:20.983947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 1fed23b3-be16-47ab-8225-7ac2cbe7b018 · outbound

This paper cites Iterative inner/outer approxim ations for scalable semidefinite programs using block factor-width-two matrices.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Iterative inner/outer approxim ations for scalable semidefinite programs using block factor-width-two matrices

Reference 33

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raw_fallback, observed 2026-08-07T23:41:20.970702Z

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source=pdf_text observed=2026-08-07T23:41:20.336813Z digest=sha256:2cb315533046036bd21a28291fbd8b03339f5c2740b772f7a225785de5cedea8

Observation 15a34116-d86b-40bf-9dec-72b1f9befc76 · outbound

This paper cites A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization

Reference 34

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source=pdf_text observed=2026-08-07T23:41:20.341182Z digest=sha256:17f023b312a800b94fdfe9de861023f62f22b84f395b57f365e07cbf2362f5c2

Observation cdd35851-5265-43ca-994e-c9ba9719d452 · outbound

This paper cites A low-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex-nonconvex approach.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A low-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex-nonconvex approach

Reference 35

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:41:20.345193Z digest=sha256:2e5efc598a2585c3db9b4cbe8fa978155ed99bef26bceaa39beb54c3ee50a258

Observation b1ddc781-f46c-488f-bcc8-c8c4a714793f · outbound

This paper cites A feasible method for general convex low-rank SDP problems.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A feasible method for general convex low-rank SDP problems

Reference 36

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raw_fallback, observed 2026-08-07T23:41:20.939921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.350449Z digest=sha256:c1e36006736a02209dda75304ba394f3cbd17a1963333879fe138c5ed45e474a

Observation de5bfb03-2397-4b67-a199-117e69d70921 · outbound

This paper cites A dec omposition augmented lagrangian method for low-rank semidefinite programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A dec omposition augmented lagrangian method for low-rank semidefinite programming

Reference 37

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raw_fallback, observed 2026-08-07T23:41:20.925648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.354342Z digest=sha256:e06b17d05fb7b22ae6c8a6d631ff1247b962fe4f74a1ee23421438b868e4d1c5

Observation 8731ea68-d284-4d82-89e9-0c9d88160c1f · outbound

This paper cites Optimal convergence ratesfor the proximal bundle method.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Optimal convergence ratesfor the proximal bundle method

Reference 38

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raw_fallback, observed 2026-08-07T23:41:20.911675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.358496Z digest=sha256:54bffc20b57994dad094d81b0a98699b7660a6a2de2b5fb1de4acbfb8f83f2b6

Observation 89e82393-0480-47e1-bd23-820fd8a37e4c · outbound

This paper cites Faster projec tion-free augmented Lagrangian methods via weak proximal oracle.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Faster projec tion-free augmented Lagrangian methods via weak proximal oracle

Reference 39

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raw_fallback, observed 2026-08-07T23:41:20.898626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.362296Z digest=sha256:0a76d2f8893c52032e04f33e62701c842b773b5e2c3f583549c1e955c22e1271

Observation 08d85cee-e0ea-4c4a-b0c5-081be52cdfda · outbound

This paper cites On the nonergodic converge nce rate of an inexact aug- mented Lagrangian framework for composite convex programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles On the nonergodic converge nce rate of an inexact aug- mented Lagrangian framework for composite convex programming

Reference 40

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raw_fallback, observed 2026-08-07T23:41:20.885333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.366093Z digest=sha256:fccbbc51f4bac6a6720c4d63a559aeb115abd89edda46b10c769178a26bccda6

Observation 565db868-80fc-4d0b-8d97-6e2e2d2908c8 · outbound

This paper cites Practical augmented Lagrangian methods for constrained optimization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Practical augmented Lagrangian methods for constrained optimization

Reference 41

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raw_fallback, observed 2026-08-07T23:41:20.871979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.369794Z digest=sha256:5b4179e265b47095556f4f0d4a2ff84d86cd972e2f5b2ab91294bfec0026f6c7

Observation 77bfefb8-2abb-4f57-b78d-2c186380f264 · outbound

This paper cites Metric subregularity and the proximal point metho d.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Metric subregularity and the proximal point metho d

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:41:20.858383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.373486Z digest=sha256:6ea3e11ab1f138c74552878b95edeeb76b4b1c7ac924913e4d2b3ae02b8b29d7

Observation 6d23ebdd-776d-4edf-aa38-21a9d00f3422 · outbound

This paper cites First-order methods in optimization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles First-order methods in optimization

Reference 43

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:41:20.377365Z digest=sha256:b742fff96776bcefd3912b61a7510b5a187c12d768f4458f54747a1226540769

Observation 167216fa-08b3-4772-b925-4436bdeeeca6 · outbound

This paper cites A condensed introductio n to bundle methods in nonsmooth optimization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A condensed introductio n to bundle methods in nonsmooth optimization

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:41:20.837563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.381707Z digest=sha256:00eeda41df571186c39fa855395f347996ccbaed43ae564ca86f21ff10d41e3e

Observation 221ce05f-ed4d-4aab-86c3-2b851f2c6854 · outbound

This paper cites Learning the kernel matrix with semidefinite programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Learning the kernel matrix with semidefinite programming

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:41:20.824985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.385607Z digest=sha256:0051ce0f6f0f959eb5b98bed53eeb043391ba4dbbbf461062dd3ac1f5e91901d

Observation 4d287192-9682-4f60-8c89-388bd0749ccb · outbound

This paper cites On approximations of the psd c one by a polynomial number of smaller-sized psd cones.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles On approximations of the psd c one by a polynomial number of smaller-sized psd cones

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:41:20.812463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.389577Z digest=sha256:714b54e0d4ebb5aa161c62d7f0b59ab8fea30310e63ad2d69401b6188ca74e8c

Observation 507ca458-091e-466b-9f0e-37a5c7efc58a · outbound

This paper cites Nonlinear optimization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Nonlinear optimization

Reference 47

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unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:41:20.393337Z digest=sha256:91d62d9640aac9bc37ed0db288d412509888ee4197adbf3b2d2e58c8ff70c40f

Observation 26546f2f-126b-4e13-aa3b-973e1b912aa4 · outbound

This paper cites Error bounds, pl co ndition, and quadratic growth for weakly convex functions, and linear convergences of proximal poin t methods.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Error bounds, pl co ndition, and quadratic growth for weakly convex functions, and linear convergences of proximal poin t methods

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:41:20.792699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.397378Z digest=sha256:ffa254c40ede7afc3cdde3d6a89c85c5b26a7ffc83e4b3eacf2a6e01cd0b4491

Observation 387f87ed-680e-4dd8-ba89-f683e7bdbd9c · outbound

This paper cites A spectral bundle method for semidefinite programming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A spectral bundle method for semidefinite programming

Reference 49

Resolution
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raw_fallback, observed 2026-08-07T23:41:20.780778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.401258Z digest=sha256:11ca16e06482f7c5030ff808de58fd2d61dd9ceaddf14d580f0ebb134fcb3ad9

Observation 55716b90-174a-4a31-8ed9-e8c3bf1ca19e · outbound

This paper cites Quadratic growth conditio ns for convex matrix optimization problems associated with spectral functions.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Quadratic growth conditio ns for convex matrix optimization problems associated with spectral functions

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:41:20.768815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.404943Z digest=sha256:553ec6a2f59cb9ce6dc6db5a272afa14016d2e48c0ee6425fc2adaa9a194b71c

Observation 5ac74308-b2ab-4dfc-b7b4-1069a5c233ed · outbound

This paper cites Exact matrix completion via convex optimization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Exact matrix completion via convex optimization

Reference 51

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raw_fallback, observed 2026-08-07T23:41:20.757182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.408993Z digest=sha256:335990a3f8b9e587504858e0fe1a2894ae71d4bb48a83ce5acea07c5fa345456

Observation aaf896ba-b736-42a2-96a3-50f9dc7926b6 · outbound

This paper cites Second-order cone progra mming.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Second-order cone progra mming

Reference 52

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.413193Z digest=sha256:25ac585e95acb38ac20e27cf41c8c5332b5f6f944f1e0a4eb0e97befc7d7df81

Observation c7d95143-b967-453d-9e49-6b843a886a4b · outbound

This paper cites Convex analysis , volume 11.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Convex analysis , volume 11

Reference 53

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:41:20.416936Z digest=sha256:4933fb48b4f533e863a4ecea58e0b4836db2550a079fb00e710e2667a9197f89

Observation 7b971a79-4d74-4ead-ba72-29fcfa746f14 · outbound

This paper cites Gradient methods for minimizing composite functio ns.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Gradient methods for minimizing composite functio ns

Reference 54

Resolution
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raw_fallback, observed 2026-08-07T23:41:20.725421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.420700Z digest=sha256:8b3874189537cddfb90df690fa8d47f0ce8312162ff324370b03097d85af003b

Observation 82cf6cda-c3fa-4794-92f8-0f8706c390f8 · outbound

This paper cites Revisiting frank-wolfe: Projection-free sparse convex optimization.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Revisiting frank-wolfe: Projection-free sparse convex optimization

Reference 55

Resolution
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raw_fallback, observed 2026-08-07T23:41:20.710292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.424779Z digest=sha256:c04537ac95f5b1f886b984ba904fc471c9e31771e5339cbe3db79dadf244889f

Observation 96afaea3-d25b-449c-a5d4-c49870f76524 · outbound

This paper cites Spectr al frank-wolfe algorithm: Strict complementarity and linear convergence.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Spectr al frank-wolfe algorithm: Strict complementarity and linear convergence

Reference 56

Resolution
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raw_fallback, observed 2026-08-07T23:41:20.697420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.428856Z digest=sha256:27ab48cdb5fc6ff3caefca18a0539818ba9b9e4090f3b9ae756b1c2aa51ef1e2

Observation 512c2b7b-663d-4aee-a39e-3ef7c710e479 · outbound

This paper cites On the Asymptotic Superlinear Convergence of the Augmented Lagrangian Method for Semidefinite Programming with Multiple Solutions.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles On the Asymptotic Superlinear Convergence of the Augmented Lagrangian Method for Semidefinite Programming with Multiple Solutions

Reference 57

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:41:20.432817Z digest=sha256:fc0ddb03480d301c9ca5ddd90ced72dee680d3c485617133fa5b420ed11003a1

Observation b27abdcf-92d4-44a2-9443-be35beb95504 · outbound

This paper cites The MOSEK optimization toolbox for MATLAB manual.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles The MOSEK optimization toolbox for MATLAB manual

Reference 58

Resolution
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raw_fallback, observed 2026-08-07T23:41:20.684435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.437181Z digest=sha256:159a652c8891eb595f321cb929231605c8ece1db24a27a90fc1bb2cd9baf0801

Observation 4e808e0f-18e1-4016-9b73-5cbb966c6dea · outbound

This paper cites On the simplicity and conditioning of low rank semidefinite programs.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles On the simplicity and conditioning of low rank semidefinite programs

Reference 59

Resolution
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raw_fallback, observed 2026-08-07T23:41:20.671352Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T23:41:20.441272Z digest=sha256:d3e5c3bb2ddcd694ed636265fb6c063c3691d9bae84664893e7764edcb9a5d05

Observation 8a818ce5-89f5-4b3a-a9f8-5fa794768e3d · outbound

This paper cites Global optimization with polynomials and the pro blem of moments.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Global optimization with polynomials and the pro blem of moments

Reference 60

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raw_fallback, observed 2026-08-07T23:41:20.657877Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T23:41:20.445384Z digest=sha256:8f0776ab44597e66484acdcf9056a70bd6bee64579fc8f26053cac5e06c9c06d

Observation d451c543-4c3b-40bc-8747-f86a9802f3d0 · outbound

This paper cites In particular, as we will see in ( B.1), it holds that − min x∈ Ω k Lρ(x, yk) = min y∈ Rm gk(y) + 1 2ρ ‖y − yk‖2.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles In particular, as we will see in ( B.1), it holds that − min x∈ Ω k Lρ(x, yk) = min y∈ Rm gk(y) + 1 2ρ ‖y − yk‖2

Reference 61

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verified fuzzy
raw_fallback, observed 2026-08-07T23:41:20.644517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.449760Z digest=sha256:47fe404a0185ee36743bbffaec41e6a0d3fc1710d4f48fff3a64d75d85176630

Observation 2cb58e1b-e6d6-4412-99cc-4d5998588a0d · outbound

This paper cites Finally, our bundle -based Augmented Lagrangian framework also complements the viewpoints of interior-point and penalty m ethods [1, Chapter 11] in addressing Ω.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Finally, our bundle -based Augmented Lagrangian framework also complements the viewpoints of interior-point and penalty m ethods [1, Chapter 11] in addressing Ω

Reference 62

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raw_fallback, observed 2026-08-07T23:41:20.631398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T23:41:20.454074Z digest=sha256:478bf31dd3a9f8e91a44bfd0b8de3fcbf513b8b899fd72d4cb099ac2936b5a27

Observation 4d72b7ca-f843-44ac-a91c-d82ac917fae5 · outbound

This paper cites The convex hull app roximation with three points always contains the line approximation.

A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles The convex hull app roximation with three points always contains the line approximation

Reference 63

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raw_fallback, observed 2026-08-07T23:41:20.617797Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T23:41:20.458707Z digest=sha256:94b77a188fa4a6e17820d2ac68ce28af45491a7aa4c188897d29680ebcaf6cf1

Pith citing papers

Observation 5a285d1b-bd83-437b-9d62-9355485e1cb2 · inbound

Local Linear Convergence of the Alternating Direction Method of Multipliers for Semidefinite Programming under Strict Complementarity cites this paper.

Local Linear Convergence of the Alternating Direction Method of Multipliers for Semidefinite Programming under Strict Complementarity A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles

Reference 38

Resolution
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arxiv_id, observed 2026-05-22T23:35:13.313610Z

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source=pdf_text observed=2026-05-22T23:35:06.548892Z digest=sha256:ba8d2b2f00c32a60e90d43cb92f6684a26aba7f1bcb3e5e1caa6b3f244a9d3b2

Observation 733b706b-f68c-4656-b2c4-15864ed35dc8 · inbound

A Proximal Descent Method for Minimizing Weakly Convex Optimization cites this paper.

A Proximal Descent Method for Minimizing Weakly Convex Optimization A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles

Reference 17

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T11:32:37.505199Z digest=sha256:547515dde6c4a8a58af676184a4dd557d4bb0c86f5d210beaea6d5fd77209191