Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T23:41:20.458707Z
Paper Citation Record · LEDGER
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.
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Source: paper_references, paper_reference_links, observed 2026-08-07T23:41:20.458707Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T11:32:37.505199Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-22T23:35:13.309563Z
63 of 63 outbound references displayed
External citation measurements
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Observation 4971fec3-26a8-4cc0-aadd-fac3ba6ab467 · outbound
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
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
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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Observation ac623cb0-b7af-4c36-9bd7-a1f80616a0e8 · outbound
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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Observation 0f446335-ed9b-482a-a8e9-ebfad08200eb · outbound
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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Observation 949bf6c4-079d-4ba1-963f-768496d8c13b · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Scalable semidefinite programming
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Observation e5bcf922-b06c-4e7e-a34a-259747d14d93 · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Chordal and factor-width decompo- sitions for scalable semidefinite and polynomial optimization
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Observation 288bd54c-c80c-4d62-915b-58f50d2ced90 · outbound
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
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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Observation a895ae01-1756-4c8d-9c3e-72147805f29a · outbound
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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Observation 483d3191-5dfe-4e10-bc4c-ca88dba00d61 · outbound
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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Observation c7b23fb8-c776-45ae-8856-5fd4c16bf2c0 · outbound
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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Observation 0ca04601-96bb-4dc5-a83e-35c1ab535dae · outbound
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
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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Observation 21e92e8d-4659-4ffb-bcd3-56bc67b60860 · outbound
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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Observation 5d6b91e2-1484-44a6-9353-194e43a6fe23 · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Multiplier and gradient methods
Reference 16
Source-reported events for the cited work
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Observation 7213ef7e-425f-4adb-89a8-50403e919580 · outbound
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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Observation 18b8ba85-0ef5-4a19-a468-6ffbb68c0949 · outbound
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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Observation 9c15e9e0-f2da-48a6-8c42-6dbe33818e1e · outbound
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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Observation 95869dfc-188b-4b47-b830-0db3817e75ec · outbound
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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Observation 51ec75e0-6d2c-4928-9842-e09ba144fb8d · outbound
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
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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Observation c5864a9b-21b6-474c-a326-e26c16e6705b · outbound
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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Observation 756df456-e2ef-4e70-9e18-6413b48ad9bb · outbound
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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Observation 78beae6e-abf7-4d37-bdc9-92ed8c6c7c84 · outbound
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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Observation 52fcd9b6-b389-43aa-b24f-1d4640ef6e56 · outbound
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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Observation 8e497f93-c3f2-407c-999e-d6b0c1448515 · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles An algorithm for quadratic p rogramming
Reference 27
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Observation 145ed672-73e2-41d9-aebd-a4aabc1f73ef · outbound
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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Observation a14c9551-b447-48ed-b146-a60d54b97f78 · outbound
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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Observation 74db9424-15c1-4672-a36e-1a0001f0ba55 · outbound
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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Observation a743ff49-ab99-41e2-98c7-7a0a843a1cb0 · outbound
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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Observation 5fee61b0-e6b3-4e66-bcd7-02714d50ad25 · outbound
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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Observation 1fed23b3-be16-47ab-8225-7ac2cbe7b018 · outbound
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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Observation 15a34116-d86b-40bf-9dec-72b1f9befc76 · outbound
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
Source-reported events for the cited work
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Observation cdd35851-5265-43ca-994e-c9ba9719d452 · outbound
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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Observation b1ddc781-f46c-488f-bcc8-c8c4a714793f · outbound
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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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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Observation 8731ea68-d284-4d82-89e9-0c9d88160c1f · outbound
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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Observation 89e82393-0480-47e1-bd23-820fd8a37e4c · outbound
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Reference 39
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Observation 08d85cee-e0ea-4c4a-b0c5-081be52cdfda · outbound
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Reference 40
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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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Observation 77bfefb8-2abb-4f57-b78d-2c186380f264 · outbound
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Reference 42
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Observation 6d23ebdd-776d-4edf-aa38-21a9d00f3422 · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles First-order methods in optimization
Reference 43
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A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A condensed introductio n to bundle methods in nonsmooth optimization
Reference 44
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Observation 221ce05f-ed4d-4aab-86c3-2b851f2c6854 · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Learning the kernel matrix with semidefinite programming
Reference 45
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Observation 4d287192-9682-4f60-8c89-388bd0749ccb · outbound
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
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Observation 507ca458-091e-466b-9f0e-37a5c7efc58a · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Nonlinear optimization
Reference 47
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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
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Observation 387f87ed-680e-4dd8-ba89-f683e7bdbd9c · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles A spectral bundle method for semidefinite programming
Reference 49
Source-reported events for the cited work
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Reference 50
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Observation 5ac74308-b2ab-4dfc-b7b4-1069a5c233ed · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Exact matrix completion via convex optimization
Reference 51
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A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Second-order cone progra mming
Reference 52
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Observation c7d95143-b967-453d-9e49-6b843a886a4b · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Convex analysis , volume 11
Reference 53
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Observation 7b971a79-4d74-4ead-ba72-29fcfa746f14 · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Gradient methods for minimizing composite functio ns
Reference 54
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Observation 82cf6cda-c3fa-4794-92f8-0f8706c390f8 · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles Revisiting frank-wolfe: Projection-free sparse convex optimization
Reference 55
Source-reported events for the cited work
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Observation 96afaea3-d25b-449c-a5d4-c49870f76524 · outbound
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Reference 56
Source-reported events for the cited work
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Observation 512c2b7b-663d-4aee-a39e-3ef7c710e479 · outbound
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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Observation b27abdcf-92d4-44a2-9443-be35beb95504 · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles The MOSEK optimization toolbox for MATLAB manual
Reference 58
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Observation 4e808e0f-18e1-4016-9b73-5cbb966c6dea · outbound
A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles On the simplicity and conditioning of low rank semidefinite programs
Reference 59
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Observation 8a818ce5-89f5-4b3a-a9f8-5fa794768e3d · outbound
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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Observation d451c543-4c3b-40bc-8747-f86a9802f3d0 · outbound
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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2cb58e1b-e6d6-4412-99cc-4d5998588a0d · outbound
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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4d72b7ca-f843-44ac-a91c-d82ac917fae5 · outbound
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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5a285d1b-bd83-437b-9d62-9355485e1cb2 · inbound
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
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Observation 733b706b-f68c-4656-b2c4-15864ed35dc8 · inbound
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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