Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers | Paper Citation Record

Observation e5f3fb0d-8cd6-4c48-81bf-af682c613cfb · outbound

This paper cites Directional necessary optimality conditions for bilevel programs.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Directional necessary optimality conditions for bilevel programs

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:30.632202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b525e388-16ac-47bc-8528-06d8aac1ce55 · outbound

This paper cites Optimality conditions for bilevel programmes via Moreau envelope reformulation.Optimization, 74(12):2685–2719, 2025.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Optimality conditions for bilevel programmes via Moreau envelope reformulation.Optimization, 74(12):2685–2719, 2025

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:30.684698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0119e753-38d1-431b-a605-7c12176291f7 · outbound

This paper cites an unresolved cited work.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:30.749904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f306ba5b-f3bb-409e-add0-04330e0b9c73 · outbound

This paper cites Springer, New York, 1998.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Springer, New York, 1998

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:30.829184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 460d89b1-f5e6-4c7c-88cb-51ad7f5e7fbd · outbound

This paper cites SIAM, Philadelphia, 2017.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers SIAM, Philadelphia, 2017

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:30.902798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7084e9d-2e0e-4b6f-b6a7-5c3f6d12c1b7 · outbound

This paper cites Bennett, Gautam Kunapuli, Jing Hu, and Jong-Shi Pang.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Bennett, Gautam Kunapuli, Jing Hu, and Jong-Shi Pang

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:30.967678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40b03a6a-b73d-4ce0-a16b-a5e691372283 · outbound

This paper cites Fr´ ed´ eric Bonnans and Alexander Shapiro.Perturbation analysis of optimization problems.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Fr´ ed´ eric Bonnans and Alexander Shapiro.Perturbation analysis of optimization problems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.045172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f88c22c8-e724-41e7-9bd1-e3dc9f376516 · outbound

This paper cites An overview of bilevel optimization.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers An overview of bilevel optimization

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.088304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 731a1a70-fbbb-4bba-9bae-c44b2fa9ba6e · outbound

This paper cites Springer, New York, 2002.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Springer, New York, 2002

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.134549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dd6c536-c206-4fd0-b7a7-abd875a686cb · outbound

This paper cites Is bilevel programming a special case of a mathematical program with complementarity constraints?Mathematical Programming, 131(1):37–48, 2012.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Is bilevel programming a special case of a mathematical program with complementarity constraints?Mathematical Programming, 131(1):37–48, 2012

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.194612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5a8404e-8bec-4a11-bf88-4a8c7d15b30f · outbound

This paper cites Duality-based single-level reformulations of bilevel op- timization problems.Journal of Optimization Theory and Applications, 205(2):26, 2025.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Duality-based single-level reformulations of bilevel op- timization problems.Journal of Optimization Theory and Applications, 205(2):26, 2025

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.246294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c78daafd-d32f-4f5d-a93e-ae57c6eef0b5 · outbound

This paper cites On the Karush–Kuhn–Tucker reformulation of the bilevel optimization problem.Nonlinear Analysis: Theory, Methods & Applications, 75(3):1202–1218, 2012.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers On the Karush–Kuhn–Tucker reformulation of the bilevel optimization problem.Nonlinear Analysis: Theory, Methods & Applications, 75(3):1202–1218, 2012

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.309406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4617fe6-7987-437a-909f-6dbbe11c3e7c · outbound

This paper cites The bilevel programming problem: reformulations, constraint qualifications and optimality conditions.Mathematical Programming, 138(1):447– 473, 2013.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers The bilevel programming problem: reformulations, constraint qualifications and optimality conditions.Mathematical Programming, 138(1):447– 473, 2013

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.364600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac266e18-1ac1-4eb1-bbbc-ab8717c304fa · outbound

This paper cites Springer, Cham, 2020.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Springer, Cham, 2020

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.416055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d59703a8-5005-4133-848b-0b94380be2d4 · outbound

This paper cites On M-stationary points for mathematical programs with equilibrium constraints.Journal of Mathematical Analysis and Applications, 310(1):286– 302, 2005.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers On M-stationary points for mathematical programs with equilibrium constraints.Journal of Mathematical Analysis and Applications, 310(1):286– 302, 2005

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.483223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 640d7f8b-e5cd-470e-bfa1-2c192803b9e9 · outbound

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

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Bilevel programming for hyperparameter optimization and meta-learning

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.535843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16fba251-d799-4889-8466-dab39d15fe10 · outbound

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

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Value function based difference-of-convex algorithm for bilevel hyperparameter selection problems

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.597854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51105612-a662-477a-b88f-c075d2c2a8c6 · outbound

This paper cites Moreau envelope-based difference of weakly convex reformulation and algorithm for bilevel programs.Journal of the Operations Research Society of China, pages 1–37, 2026.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Moreau envelope-based difference of weakly convex reformulation and algorithm for bilevel programs.Journal of the Operations Research Society of China, pages 1–37, 2026

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.659891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41b757e4-0ad8-4421-b036-1737725bbe95 · outbound

This paper cites Inexact bilevel stochastic gradient methods for constrained and unconstrained lower-level problems.Journal of Global Optimization, 92(3):569–614, 2025.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Inexact bilevel stochastic gradient methods for constrained and unconstrained lower-level problems.Journal of Global Optimization, 92(3):569–614, 2025

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.756437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a7f67f5-24eb-4151-9540-0702dd0fd215 · outbound

This paper cites Multiplier and gradient methods.Journal of Optimization Theory and Applications, 4(5):303–320, 1969.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Multiplier and gradient methods.Journal of Optimization Theory and Applications, 4(5):303–320, 1969

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.818264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43226f9e-1037-4768-91b0-a966a9347766 · outbound

This paper cites An improved unconstrained ap- proach for bilevel optimization.SIAM Journal on Optimization, 33(4):2801–2829, 2023.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers An improved unconstrained ap- proach for bilevel optimization.SIAM Journal on Optimization, 33(4):2801–2829, 2023

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:31.876728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f55bbed-4195-4f5e-92df-2c89e8c8412b · outbound

This paper cites A Barrier Function Approach for Bilevel Optimization with Coupled Lower-Level Constraints: Formulation, Approximation and Algorithms.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers A Barrier Function Approach for Bilevel Optimization with Coupled Lower-Level Constraints: Formulation, Approximation and Algorithms

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.023766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88750212-0878-4718-969e-8b1c7c366651 · outbound

This paper cites Approximate stationarity in disjunctive optimization: concepts, qualification conditions, and application to MPCCs.Set-Valued and Variational Analysis, 33(4):48, 2025.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Approximate stationarity in disjunctive optimization: concepts, qualification conditions, and application to MPCCs.Set-Valued and Variational Analysis, 33(4):48, 2025

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.134163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 409ab48a-2c83-4452-bdc8-f9ee933c9c11 · outbound

This paper cites A new regularization method for mathematical programs with complementarity constraints with strong convergence properties.SIAM Journal on Optimization, 23(2):770–798, 2013.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers A new regularization method for mathematical programs with complementarity constraints with strong convergence properties.SIAM Journal on Optimization, 23(2):770–798, 2013

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.190085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a840d75a-7848-4bf5-bc50-33303995cc42 · outbound

This paper cites Linearly constrained bilevel optimization: A smoothed implicit gradient ap- proach.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Linearly constrained bilevel optimization: A smoothed implicit gradient ap- proach

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.249581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95a151e2-8e79-4b9e-9b9b-ff19bb42807c · outbound

This paper cites First-order methods for linearly constrained bilevel optimization.Advances in Neural Information Pro- cessing Systems, 37:141417–141460, 2024.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers First-order methods for linearly constrained bilevel optimization.Advances in Neural Information Pro- cessing Systems, 37:141417–141460, 2024

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.290581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b041459c-9ad6-4436-8462-3d0fa72fecb5 · outbound

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

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers A fully first-order method for stochastic bilevel optimization

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.347925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 169ecd9f-ae41-4a08-b571-b0b71385d011 · outbound

This paper cites On penalty methods for nonconvex bilevel optimization and first-order stochastic approximation.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers On penalty methods for nonconvex bilevel optimization and first-order stochastic approximation

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.401471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bac294dd-19f9-4b2a-bdc2-35102caeb5bb · outbound

This paper cites Bilevel hyperparameter optimization for support vector classification: theoretical analysis and a solution method.Mathematical Methods of Operations Research, 96(3):315–350, 2022.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Bilevel hyperparameter optimization for support vector classification: theoretical analysis and a solution method.Mathematical Methods of Operations Research, 96(3):315–350, 2022

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.437964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bed0dee-c586-463c-b319-2b4f21da4ffe · outbound

This paper cites BOME! Bilevel optimiza- tion made easy: A simple first-order approach.Advances in Neural Information Processing Systems, 35:17248–17262, 2022.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers BOME! Bilevel optimiza- tion made easy: A simple first-order approach.Advances in Neural Information Processing Systems, 35:17248–17262, 2022

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.484796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47ba4de4-7e5e-41c9-99fe-3817f0c63324 · outbound

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

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Moreau envelope for noncon- vex bi-level optimization: A single-loop and Hessian-free solution strategy

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.541997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eedc9a17-9983-4779-adbe-8da90df3ceca · outbound

This paper cites TSP: A two-sided smoothed primal-dual method for nonconvex bilevel optimiza- tion.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers TSP: A two-sided smoothed primal-dual method for nonconvex bilevel optimiza- tion

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.582209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89370b4f-77da-4986-b797-94d1bc711ed2 · outbound

This paper cites First-order penalty methods for bilevel optimization.SIAM Journal on Optimization, 34(2):1937–1969, 2024.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers First-order penalty methods for bilevel optimization.SIAM Journal on Optimization, 34(2):1937–1969, 2024

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.638135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3efc41dd-f0a2-4d33-a9fb-aa737c288b85 · outbound

This paper cites Cambridge University Press, 1996.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Cambridge University Press, 1996

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.722068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdf78bb4-beb7-48ec-9edb-89607c48d6a6 · outbound

This paper cites Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity constrained and bilevel programming.Optimization, 72(1):277–320, 2023.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity constrained and bilevel programming.Optimization, 72(1):277–320, 2023

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.772270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c061851d-9fad-4e4b-8cdd-e62b3026189d · outbound

This paper cites Proximit´ e et dualit´ e dans un espace hilbertien.Bulletin de la Soci´ et´ e Math´ ematique de France, 93:273–299, 1965.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Proximit´ e et dualit´ e dans un espace hilbertien.Bulletin de la Soci´ et´ e Math´ ematique de France, 93:273–299, 1965

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.852781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 615755d2-ed35-427f-a74d-79ee44253e18 · outbound

This paper cites An augmented Lagrangian value function method for lower-level constrained stochastic bilevel optimization.arXiv preprint arXiv:2509.24249, 2025.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers An augmented Lagrangian value function method for lower-level constrained stochastic bilevel optimization.arXiv preprint arXiv:2509.24249, 2025

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.908613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7d8a8ac-9bde-4ba0-84d1-a0445e6bfb30 · outbound

This paper cites On the numerical solution of a class of Stackelberg problems.Zeitschrift f¨ ur Operations Research, 34(4):255–277, 1990.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers On the numerical solution of a class of Stackelberg problems.Zeitschrift f¨ ur Operations Research, 34(4):255–277, 1990

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:32.962203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8025e21-cc8f-40d9-9da6-325c72edd049 · outbound

This paper cites Optimality conditions for a class of mathematical programs with equilibrium constraints.Mathematics of Operations Research, 24(3):627–644, 1999.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Optimality conditions for a class of mathematical programs with equilibrium constraints.Mathematics of Operations Research, 24(3):627–644, 1999

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.061728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d35fa26-ba12-4f2f-a9ee-aa7f26402692 · outbound

This paper cites A method for nonlinear constraints in minimization problems.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers A method for nonlinear constraints in minimization problems

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.117155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb2e8de9-afee-4c73-a19a-186e450124a3 · outbound

This paper cites Augmented Lagrangians and applications of the proximal point algo- rithm in convex programming.Mathematics of Operations Research, 1(2):97–116, 1976.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Augmented Lagrangians and applications of the proximal point algo- rithm in convex programming.Mathematics of Operations Research, 1(2):97–116, 1976

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.182344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 818d55fb-9167-4544-b76f-d4e2d6d2ae0a · outbound

This paper cites Tyrrell Rockafellar and Roger J.-B.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Tyrrell Rockafellar and Roger J.-B

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.243408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e69f0c2-7c8a-4e47-a3ec-c038a53484e5 · outbound

This paper cites Mathematical programs with complementarity constraints: Stationarity, optimality, and sensitivity.Mathematics of Operations Research, 25(1):1–22, 2000.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Mathematical programs with complementarity constraints: Stationarity, optimality, and sensitivity.Mathematics of Operations Research, 25(1):1–22, 2000

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.287385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e126c1e-8e5b-426b-8e07-0d776a8c68b9 · outbound

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

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers On penalty-based bilevel gradient descent method

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.347834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a1e055e-39dd-420b-8a60-6240bbeb131e · outbound

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

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers On penalty-based bilevel gradient descent method

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.356387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a1db1b4-4d36-4728-918c-92854b1b5321 · outbound

This paper cites Double momentum method for lower-level constrained bilevel optimization.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Double momentum method for lower-level constrained bilevel optimization

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.360910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94bac8ff-702d-49e4-b82b-d4005902a1ed · outbound

This paper cites A Primal-Dual Approach to Bilevel Optimization with Multiple Inner Minima.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers A Primal-Dual Approach to Bilevel Optimization with Multiple Inner Minima

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.441413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 425bd408-8a2c-4072-b8d6-8522926a48d7 · outbound

This paper cites Alternating projected SGD for equality- constrained bilevel optimization.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Alternating projected SGD for equality- constrained bilevel optimization

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.529050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b4009c2-641b-4537-8e17-4d52f2246784 · outbound

This paper cites First-order federated bilevel learning.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers First-order federated bilevel learning

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.617702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5408b538-0f80-4ca8-b71f-656e51253af9 · outbound

This paper cites Overcoming lower-level constraints in bilevel optimization: A novel approach with regularized gap functions.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Overcoming lower-level constraints in bilevel optimization: A novel approach with regularized gap functions

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.671119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30a07bc6-fbb4-42ef-a745-b9b86adb15f8 · outbound

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

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Constrained bi-level optimization: Proximal Lagrangian value function approach and Hessian-free algorithm

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.800051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddab09b7-dbb6-432a-b5b2-e9aaf2e9709b · outbound

This paper cites Optimality conditions for optimization problems with complementarity constraints.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Optimality conditions for optimization problems with complementarity constraints

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:33.901637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7669d9ab-3b94-4226-85b4-e59712b3e6bd · outbound

This paper cites Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints.SIAM Journal on Optimization, 10(4):943– 962, 2000.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints.SIAM Journal on Optimization, 10(4):943– 962, 2000

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:34.069559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 595bd892-26f8-43ac-9f4a-256ab462a064 · outbound

This paper cites Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints.Journal of Mathematical Analysis and Applications, 307(1):350–369, 2005.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints.Journal of Mathematical Analysis and Applications, 307(1):350–369, 2005

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:34.211723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 023a61b3-3bca-4182-9b56-0a5731aceda7 · outbound

This paper cites Constraint qualifications and optimality conditions in bilevel optimization.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Constraint qualifications and optimality conditions in bilevel optimization

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:34.335382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c3042b4-6dcb-4b2c-b1cb-8b1bbdb12b07 · outbound

This paper cites Optimality conditions for bilevel programming problems.Optimiza- tion, 33(1):9–27, 1995.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Optimality conditions for bilevel programming problems.Optimiza- tion, 33(1):9–27, 1995

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:34.429699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f6efe9b-ee9a-4480-9dd5-8f39df03ac6a · outbound

This paper cites New necessary optimality conditions for bilevel programs by com- bining the MPEC and value function approaches.SIAM Journal on Optimization, 20(4):1885– 1905, 2010.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers New necessary optimality conditions for bilevel programs by com- bining the MPEC and value function approaches.SIAM Journal on Optimization, 20(4):1885– 1905, 2010

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:34.542247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cb74e7d-eaa0-4af1-b5a2-a2db283a24b1 · outbound

This paper cites Federated stochastic bilevel optimization with fully first-order gradients.

Limiting Stationarity of Regularized Gap-Function Reformulations for Bilevel Optimization with Unbounded Multipliers Federated stochastic bilevel optimization with fully first-order gradients

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-01T17:19:34.652612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Coverage vector

Reference resolution

Outbound references

Pith citing papers