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Paper Citation Record · LEDGER

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation

As of 5 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2412.18929.

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

pith.paper-citation-record.v1
2412.18929 v5

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T07:24:54.181758Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T05:59:54.996482Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T21:16:35.695638Z

Reference resolution

64 of 64 outbound references displayed

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External citation measurements

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Outbound references

Observation 782ec129-58c3-42eb-a056-29385c52ce8f · outbound

This paper cites Unified smoothing approach for best hyperparameter selection problem using a bilevel optimization strategy.Mathematical Programming, pages 1–40.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Unified smoothing approach for best hyperparameter selection problem using a bilevel optimization strategy.Mathematical Programming, pages 1–40

Reference 1

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Source-reported events for the cited work

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Observation a1f1af52-cbe9-45ad-b6e4-fdda2318a701 · outbound

This paper cites Solving bilevel programs with the KKT-approach.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Solving bilevel programs with the KKT-approach

Reference 2

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Observation d2b4cf8b-0e12-4d6b-9ccb-4cdc8ec0505c · outbound

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Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Unresolved cited work

Reference 3

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Observation d47f64fc-632e-49bd-b9a5-5ffc0576f268 · outbound

This paper cites an unresolved cited work.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Unresolved cited work

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation f688d411-04fd-404c-a875-9461b9b2242e · outbound

This paper cites Optimality conditions for bilevel programmes via Moreau envelope reformulation.Optimization, pages 1–35.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Optimality conditions for bilevel programmes via Moreau envelope reformulation.Optimization, pages 1–35

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 20565dea-aa24-4aa6-aa37-1c447e9e4614 · outbound

This paper cites Springer, New York.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Springer, New York

Reference 6

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Source-reported events for the cited work

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Observation d402c1e1-0cec-4564-9dbf-0319c451bfbc · outbound

This paper cites SIAM, Philadelphia.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation SIAM, Philadelphia

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation aade0c16-1a7f-463d-95e6-5218312530d0 · outbound

This paper cites Springer, Berlin.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Springer, Berlin

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 7524b763-9c67-40fa-afd9-b5b59ceeb58f · outbound

This paper cites Making a science of model search: Hyper- parameter optimization in hundreds of dimensions for vision architectures.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Making a science of model search: Hyper- parameter optimization in hundreds of dimensions for vision architectures

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 3ced38ee-f6d6-418f-b1da-610d87f595b9 · outbound

This paper cites Implicit differentiation of Lasso-type models for hyperparameter optimization.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Implicit differentiation of Lasso-type models for hyperparameter optimization

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation bbce73e2-9f37-4985-aacc-d191c5311845 · outbound

This paper cites The Lojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems.SIAM Journal on Optimization, 17(4):1205–1223.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation The Lojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems.SIAM Journal on Optimization, 17(4):1205–1223

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation ebcbcf32-719b-4d50-8946-73286ef48546 · outbound

This paper cites Clarke subgradients of stratifiable functions.SIAM Journal on Optimization, 18(2):556–572.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Clarke subgradients of stratifiable functions.SIAM Journal on Optimization, 18(2):556–572

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 8a10f4df-987e-4d5a-b029-409f5b489ca6 · outbound

This paper cites Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity.Transactions of the Ameri- can Mathematical Society, 362(6):3319–3363.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity.Transactions of the Ameri- can Mathematical Society, 362(6):3319–3363

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 0ef00825-520c-4df7-9ade-bb15b29c5e94 · outbound

This paper cites Proximal alternating linearized minimiza- tion for nonconvex and nonsmooth problems.Mathematical Programming, 146(1):459–494.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Proximal alternating linearized minimiza- tion for nonconvex and nonsmooth problems.Mathematical Programming, 146(1):459–494

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 0f57ac26-05df-415e-8981-80642b7011b9 · outbound

This paper cites Springer, New York.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Springer, New York

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation f7188709-270e-42c0-b845-3c61557d1afd · outbound

This paper cites Solving nonlin- ear principal-agent problems using bilevel programming.European Journal of Operational Research, 230(2):364–373.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Solving nonlin- ear principal-agent problems using bilevel programming.European Journal of Operational Research, 230(2):364–373

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 3ffd7d0d-6951-4f75-8a11-213b3d3d54a8 · outbound

This paper cites Closing the gap: Tighter analysis of alternat- ing stochastic gradient methods for bilevel problems.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Closing the gap: Tighter analysis of alternat- ing stochastic gradient methods for bilevel problems

Reference 17

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Source-reported events for the cited work

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Observation 55a2fa9e-16ce-4b6e-8cd2-6322407c94ad · outbound

This paper cites An overview of bilevel optimization.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation An overview of bilevel optimization

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 7f1e90a9-22ed-4052-b0f6-a41f12e9aede · outbound

This paper cites Optimizing frequencies in a transit network: A nonlinear bi-level programming approach.International Transactions in Operational Research, 2(2):149–164.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Optimizing frequencies in a transit network: A nonlinear bi-level programming approach.International Transactions in Operational Research, 2(2):149–164

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation f31a275e-1f37-4a7a-b304-dca97d416f27 · outbound

This paper cites Springer, New York.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Springer, New York

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation e5e3cd68-747e-475b-a748-5913a054d195 · outbound

This paper cites Springer, Cham.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Springer, Cham

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation fa154814-20b5-478f-b6e5-09f8495c74eb · outbound

This paper cites The bilevel programming problem: Reformulations, constraint qualifications and optimality conditions.Mathematical Programming, 138:447–473.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation The bilevel programming problem: Reformulations, constraint qualifications and optimality conditions.Mathematical Programming, 138:447–473

Reference 22

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation bb8582ae-62de-42d4-b594-aaeb6d19dab7 · outbound

This paper cites Error bounds, quadratic growth, and linear conver- gence of proximal methods.Mathematics of Operations Research, 43(3):919–948.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Error bounds, quadratic growth, and linear conver- gence of proximal methods.Mathematics of Operations Research, 43(3):919–948

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 09d5a31d-ead1-4f3a-b6df-f3ee9ee52eea · outbound

This paper cites Efficiency of minimizing compositions of convex functions and smooth maps.Mathematical Programming, 178(1):503–558.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Efficiency of minimizing compositions of convex functions and smooth maps.Mathematical Programming, 178(1):503–558

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 490595a3-280f-41a8-8d94-dde319844dc1 · outbound

This paper cites Springer, New York.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Springer, New York

Reference 25

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation a22f372f-1fff-41e1-a835-5c503584f3b7 · outbound

This paper cites Gradient-based regularization parameter selection for prob- lems with nonsmooth penalty functions.Journal of Computational and Graphical Statistics, 27(2):426–435.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Gradient-based regularization parameter selection for prob- lems with nonsmooth penalty functions.Journal of Computational and Graphical Statistics, 27(2):426–435

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 3f869300-57e4-416c-8c2b-3144f6c77ccd · outbound

This paper cites Semismooth Newton-type method for bilevel optimization: Global convergence and extensive numerical experiments.Optimiza- tion Methods & Software, 37(5):1770–1804.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Semismooth Newton-type method for bilevel optimization: Global convergence and extensive numerical experiments.Optimiza- tion Methods & Software, 37(5):1770–1804

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 879162f0-4e4b-47ec-8310-f29740aea5e6 · outbound

This paper cites Gauss–Newton-type methods for bilevel optimization.Computational Optimization and Applications, 78(3):793–824.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Gauss–Newton-type methods for bilevel optimization.Computational Optimization and Applications, 78(3):793–824

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 016e9161-be05-41f3-b631-3eee72937902 · outbound

This paper cites Bilevel programming for hyperparameter optimization and meta-learning.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Bilevel programming for hyperparameter optimization and meta-learning

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation ca22e169-75ec-442d-a421-9c5596f94f01 · outbound

This paper cites Value function based difference-of-convex algorithm for bilevel hyperparameter selection problems.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Value function based difference-of-convex algorithm for bilevel hyperparameter selection problems

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 1fc4696e-3ac3-4b05-83fb-f3160059224e · outbound

This paper cites Moreau Envelope Based Difference-of-weakly-Convex Reformulation and Algorithm for Bilevel Programs.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Moreau Envelope Based Difference-of-weakly-Convex Reformulation and Algorithm for Bilevel Programs

Reference 31

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arxiv_id, observed 2026-05-23T07:25:28.385827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:e602b478408ebd18209d65cd5f2c6089b52e86712f702abee5acc3c7336004ea

Observation a5c0cbd9-c4b1-4998-9f8e-612899e29dfa · outbound

This paper cites Executive compensation and principal-agent theory.Journal of Political Economy, 102(6):1175–1199.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Executive compensation and principal-agent theory.Journal of Political Economy, 102(6):1175–1199

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.079514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:3c482b5f4ef9e04ffbf05b982f4c57396f6fc046c2d196bfda65137df7b61ddc

Observation c68cd287-062a-4d19-9a5f-93ccb84f48a7 · outbound

This paper cites On the iteration complexity of hypergradient computation.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation On the iteration complexity of hypergradient computation

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.082037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:95ef10f83c4dbada030fa45822c7262f9be4fc1cab427ac51217584c7d89af61

Observation 9423a4cc-cdd7-4786-a136-e71f7455f824 · outbound

This paper cites A two-timescale stochastic algorithm framework for bilevel optimization: Complexity analysis and application to actor- critic.SIAM Journal on Optimization, 33(1):147–180.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation A two-timescale stochastic algorithm framework for bilevel optimization: Complexity analysis and application to actor- critic.SIAM Journal on Optimization, 33(1):147–180

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.090482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:b31c659e22948a0c1c5ce60f8ef2723d897abfb17120fa2c74f2f2f61469bdb1

Observation ce22d136-a36d-4591-bcb0-f44f858f0c43 · outbound

This paper cites Bilevel optimization: Convergence analysis and enhanced design.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Bilevel optimization: Convergence analysis and enhanced design

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.138388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:d3a612add9122da05b5fa42aa1bb7011a9046014fef89351d51e7893daa8b0a8

Observation 50b912c2-9d84-41d5-96b5-ab8e389ee94d · outbound

This paper cites A fresh look at nonsmooth Levenberg–Marquardt methods with applications to bilevel optimization.Optimization, pages 1–48.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation A fresh look at nonsmooth Levenberg–Marquardt methods with applications to bilevel optimization.Optimization, pages 1–48

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.103919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:e38a7a235ebaaf6ba51d68ddb79866e42b05a0bc5672cee769482dad18b386a7

Observation d145aed2-29c8-45ca-b3f7-f033f3042fa7 · outbound

This paper cites Linear convergence of gradient and proximal- gradient methods under the polyak- lojasiewicz condition.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Linear convergence of gradient and proximal- gradient methods under the polyak- lojasiewicz condition

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.072069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:7f96b524c8f86b29dfea7f25071f9362d3792efec1e5841f7649ab4415970d7c

Observation 5032881d-d744-4068-b679-564dcfca8901 · outbound

This paper cites Classification model selection via bilevel programming.Optimization Methods & Software, 23(4):475–489.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Classification model selection via bilevel programming.Optimization Methods & Software, 23(4):475–489

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.074938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:8df36690b192a8fb3abbca0279e3363eb0ae7718f475f7c9b8178cb223fb49f3

Observation 18bcab44-2637-4b59-b6b0-c83780753946 · outbound

This paper cites A fully first-order method for stochastic bilevel optimization.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation A fully first-order method for stochastic bilevel optimization

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.068594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:0414a5d9f3787e270dc257a60b6612672d49cf75132c46502209eb8c5218bdd8

Observation be27fabf-b6e1-40cf-b0b6-0b6e5bb0f52a · outbound

This paper cites Bome! bilevel optimization made easy: A simple first-order approach.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Bome! bilevel optimization made easy: A simple first-order approach

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.069161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:b0ae7c20b23c820060655731a718d2d546896c4e1f355ca56461963a7b41b778

Observation 8ab96db4-dd2a-4845-8e6c-b43cebf624ea · outbound

This paper cites an unresolved cited work.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-05-23T07:25:29.077215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:9bc25878e38d9f8915b5dd3dfd98f746ef66415f5281cc13c08ffb16e9a540b1

Observation 70aee64a-f558-4c0e-a210-dfef4a521bdf · outbound

This paper cites Moreau envelope for noncon- vex bi-level optimization: A single-loop and Hessian-free solution strategy.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Moreau envelope for noncon- vex bi-level optimization: A single-loop and Hessian-free solution strategy

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.063623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:9b4de4dc13fa5327cd9fc6848cca301879b37778c3f0fae66e06cdfa26e4491a

Observation 1d821a82-c7c7-4b2b-b345-b5eab93055a5 · outbound

This paper cites SLM: A smoothed first-order Lagrangian method for structured constrained nonconvex optimization.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation SLM: A smoothed first-order Lagrangian method for structured constrained nonconvex optimization

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.053929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:d52f252e7efdcd989af0fa5faed41db9a75884c73158d50a76ff62ea840e69cc

Observation d354d7f6-37cb-466f-8c9d-3c20bab14ab1 · outbound

This paper cites First-order penalty methods for bilevel optimization.SIAM Journal on Optimization, 34(2):1937–1969.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation First-order penalty methods for bilevel optimization.SIAM Journal on Optimization, 34(2):1937–1969

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.075237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:4615460699101d6bc7808bce042011aeb3361b0f3fd4980cfc16bc9f2c2015c8

Observation 311648bb-7b9f-45d8-93bd-e0f8151686ff · outbound

This paper cites Cambridge University Press, Cambridge.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Cambridge University Press, Cambridge

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.078148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:85f5b1ae845b8677089a5856e26a12800718a66c256f55319bb792a87f46698e

Observation dc22bdf9-75e1-4945-bb16-a02cf6eb3928 · outbound

This paper cites Bilevel programming in traffic planning: Models, methods and challenge.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Bilevel programming in traffic planning: Models, methods and challenge

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.022775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:aad57929a3152a6c87510c1832b4a8cbb90fab23f0205ef844ab65b4d46f7b09

Observation 28efe792-df37-45a3-9a6f-38647b9b71c0 · outbound

This paper cites The theory of moral hazard and unobservable behaviour: Part I.Review of Economic Studies, 66(1):3–21.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation The theory of moral hazard and unobservable behaviour: Part I.Review of Economic Studies, 66(1):3–21

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.094531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:53637c2581e245929de52320c9b9f336edd8f3a73e83719a3fb0207858899799

Observation a0e5bb07-a52e-4844-8ecb-afae36a4ec18 · outbound

This paper cites A globally convergent proximal Newton-type method in nonsmooth convex optimization.Mathematical Program- ming, 198(1):899–936.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation A globally convergent proximal Newton-type method in nonsmooth convex optimization.Mathematical Program- ming, 198(1):899–936

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.042032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:7baef30b078447660567bf0dec086282a6cc56c2d4289561ed56adf680b34d37

Observation f058f855-7dab-4e3d-b04e-bd0134fa8610 · outbound

This paper cites Springer, Cham.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Springer, Cham

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.012360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:aad72c25ee957a2ea19ce962bb3332e3ea8cf8b872b7e67a60e53deed65e6055

Observation af59f790-cf1b-444b-a110-0aa6d39bb118 · outbound

This paper cites Approximate convex functions.Journal of Nonlinear and Convex Analysis, 1(2):155–176.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Approximate convex functions.Journal of Nonlinear and Convex Analysis, 1(2):155–176

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.045459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:56931f4197f515a7ca698429b16da663a10393a94580f65ae5f55bb0472edfa8

Observation c15261db-0b1e-4edd-9080-06d15fe0883d · outbound

This paper cites The quasigradient method for the solving of the nonlinear programming problems.Cybernetics and Systems Analysis, 9(1):145–150.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation The quasigradient method for the solving of the nonlinear programming problems.Cybernetics and Systems Analysis, 9(1):145–150

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.048438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:098481d8d052b2e9fe9f56fc79a259022e60dc04a69459ac6e2a0b255cee9fc9

Observation db29eb40-a3ec-4e04-9340-7778877dcedb · outbound

This paper cites Onℓ p- hyperparameter learning via bilevel nonsmooth optimization.Journal of Machine Learning Research, 22(245):1–47.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Onℓ p- hyperparameter learning via bilevel nonsmooth optimization.Journal of Machine Learning Research, 22(245):1–47

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.039322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:66ee8f78bc831436172de6cf28dd977b92c34c242cc28480b43d4222ab062bf9

Observation c9693bb5-6e32-4d30-9f6e-89067bb25afc · outbound

This paper cites On the numerical solution of a class of Stackelberg problems.Zeitschrift f¨ ur Operations Research, 34:255–277.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation On the numerical solution of a class of Stackelberg problems.Zeitschrift f¨ ur Operations Research, 34:255–277

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.161110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:1bca468981789d0c1f80a74a666772658dc110d3db68cd282b511b4b660f37a8

Observation 0ac237a8-a8d2-4af0-9107-2ff0cdce7b2c · outbound

This paper cites Springer, New York.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Springer, New York

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.112900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:d8a02c8aa4d4f2e0516b5fd575ae25beb438f3a98ec7e57b751de0bcb62bfde6

Observation 5dd8dd50-ca4f-4875-bb55-900598d35512 · outbound

This paper cites On penalty-based bilevel gradient descent method.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation On penalty-based bilevel gradient descent method

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.140943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:a9e205a02b9d5aa57273f773e71ea8642fe5afabe13629545da5bd548ab82595

Observation 801e9272-9d51-409f-b025-66aa48b9843c · outbound

This paper cites A sparse-group Lasso.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation A sparse-group Lasso

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.031307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:4e4271bcddf6e2db143baddc5866a9207e4e564874e139cc3053874140807bb7

Observation c694f99e-281e-4031-bca7-7ce202d4d7c8 · outbound

This paper cites Springer, Berlin.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Springer, Berlin

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.033675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:b7192cb75123df5fed25abc952048410339828d94c93cde05688f5f8c3657228

Observation f6ce6deb-e0fc-4a4f-93a4-a1d2d2ddf9e7 · outbound

This paper cites On the implementation of an interior-point fil- ter line-search algorithm for large-scale nonlinear programming.Mathematical programming, 106(1):25–57.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation On the implementation of an interior-point fil- ter line-search algorithm for large-scale nonlinear programming.Mathematical programming, 106(1):25–57

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.036149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:0ff41588f1a2397b419f7e79eb748c3e1dfde3d48e294352ea1872e822661641

Observation 656f9ef4-6125-4c7f-98d2-a8deda444ffe · outbound

This paper cites Calculus rules of the generalized concave Kurdyka– Lojasiewicz property.Journal of Optimization Theory and Applications, 197(3):839–854.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Calculus rules of the generalized concave Kurdyka– Lojasiewicz property.Journal of Optimization Theory and Applications, 197(3):839–854

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.025245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:7dbb31694272760f1cf13795c14ab9393b8fee24f10f33bf505e35510f7a7f7f

Observation de8b0355-d873-4599-b997-d572114e887d · outbound

This paper cites Overcoming Lower-Level Constraints in Bilevel Optimization: A Novel Approach with Regularized Gap Functions.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Overcoming Lower-Level Constraints in Bilevel Optimization: A Novel Approach with Regularized Gap Functions

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-23T07:25:28.382184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:178783495f0a9ffb65a7831bb926a95dbd36930c0ad1b36395b9566c858519a3

Observation b62f90be-9104-4e4e-8fca-c816f894203a · outbound

This paper cites Constrained bi-level optimization: Proximal Lagrangian value function approach and Hessian-free algorithm.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Constrained bi-level optimization: Proximal Lagrangian value function approach and Hessian-free algorithm

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.018817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:46435caae5a88dab53d81ab27ed3a473b28be5a51009195031bcc16c2880d3e4

Observation e9282c70-7036-4f12-9910-525baeb858a3 · outbound

This paper cites Difference of convex algorithms for bilevel programs with applications in hyperparameter selection.Mathematical Programming, 198(2):1583–1616.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Difference of convex algorithms for bilevel programs with applications in hyperparameter selection.Mathematical Programming, 198(2):1583–1616

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.022564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:c7578525cb306e35b2544bcc3be73f74cb384da93e7123defe00dc888e817eb7

Observation 36a25a15-0622-4794-9956-987510e9175e · outbound

This paper cites Optimality conditions for bilevel programming problems.Optimization, 33(1):9–27.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation Optimality conditions for bilevel programming problems.Optimization, 33(1):9–27

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.016341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:2e4799d4e7782894d6d0d2181803e693f70d9fd73ea06cbd987fbd176ed052ae

Observation eba3fac8-a069-49a9-b9e4-d1bc3770e677 · outbound

This paper cites An introduction to bilevel optimization: Foundations and applications in signal process- ing and machine learning.IEEE Signal Processing Magazine, 41(1):38–59.

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation An introduction to bilevel optimization: Foundations and applications in signal process- ing and machine learning.IEEE Signal Processing Magazine, 41(1):38–59

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T07:25:29.163212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T07:24:54.181758Z digest=sha256:f1b781aceb296f216caaa4ea73e74002fa94dd29addba1745d67f06eacd4c59e

Pith citing papers

Observation 40ec9537-023d-4416-b071-553a3ae696f7 · inbound

Optimality Conditions and Numerical Algorithms for a Class of Minimax Bilevel Optimization Problems cites this paper.

Optimality Conditions and Numerical Algorithms for a Class of Minimax Bilevel Optimization Problems Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-13T02:47:07.755919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-08T05:59:54.996482Z digest=sha256:6c358955651fbfef8c3bd28aaa31834cb10b3e48f104b23d987cc9be64b99fd4