[1] Jerome Bracken and James T McGill. Mathematical programs with optimization problems in the constraints. Operations research, 21(1):37-44, 1973.
[2] Stephen Dempe, Nguyen Dinh, and Joydeep Dutta. Optimality conditions for a simple convex bilevel programming problem. Variational Analysis and Generalized Differentiation in Optimization and Control: In Honor of Boris S. Mordukhovich, pages 149-161, 2010.
[3] Joydeep Dutta and Tanushree Pandit. Algorithms for simple bilevel programming. Bilevel Optimization: Advances and Next Challenges, pages 253-291, 2020.
[4] Yekini Shehu, Phan Tu Vuong, and Alain Zemkoho. An inertial extrapolation method for convex simple bilevel optimization. Optimization Methods and Software, 36(1):1-19, 2021.
[5] Zalán Borsos, Mojmír Mutny, and Andreas Krause. Coresets via bilevel optimization for continual learning and streaming. Advances in Neural Information Processing Systems, 33:14879-14890, 2020.
[6] Luca Franceschi, Paolo Frasconi, Saverio Salzo, Riccardo Grazzi, and Massimiliano Pontil. Bilevel programming for hyperparameter optimization and meta-learning. In International Conference on Machine Learning, pages 1568-1577. PMLR, 2018.
[7] Amirreza Shaban, Ching-An Cheng, Nathan Hatch, and Byron Boots. Truncated backpropagation for bilevel optimization. In The 22nd International Conference on Artificial Intelligence and Statistics, pages 1723-1732. PMLR, 2019.
[8] Aravind Rajeswaran, Chelsea Finn, Sham M Kakade, and Sergey Levine. Meta-learning with implicit gradients. Advances in neural information processing systems, 32, 2019.
[9] Luca Bertinetto, Joao F Henriques, Philip HS Torr, and Andrea Vedaldi. Meta-learning with differentiable closed-form solvers. arXiv preprint arXiv:1805.08136, 2018.
[10] Mingyi Hong, Hoi-To Wai, Zhaoran Wang, and Zhuoran Yang. A two-timescale framework for bilevel optimization: Complexity analysis and application to actor-critic. arXiv preprint arXiv:2007.05170, 2020.
[11] Haifeng Zhang, Weizhe Chen, Zeren Huang, Minne Li, Yaodong Yang, Weinan Zhang, and Jun Wang. Bi-level actor-critic for multi-agent coordination. In Proceedings of the AAAI Conference on Artificial Intelligence, volume 34, pages 7325-7332, 2020.
[12] Ruichen Jiang, Nazanin Abolfazli, Aryan Mokhtari, and Erfan Yazdandoost Hamedani. A conditional gradient-based method for simple bilevel optimization with convex lower-level problem. In International Conference on Artificial Intelligence and Statistics, pages 10305-10323. PMLR, 2023.
[13] Chengyue Gong and Xingchao Liu. Bi-objective trade-off with dynamic barrier gradient descent. NeurIPS 2021, 2021.
[14] Shoham Sabach and Shimrit Shtern. A first order method for solving convex bilevel optimization problems. SIAM Journal on Optimization, 27(2):640-660, 2017.
[15] Harshal D Kaushik and Farzad Yousefian. A method with convergence rates for optimization problems with variational inequality constraints. SIAM Journal on Optimization, 31(3):2171-2198, 2021.
[16] Afrooz Jalilzadeh and Farzad Yousefian. Stochastic approximation for estimating the price of stability in stochastic nash games. arXiv preprint arXiv:2203.01271, 2022.
[17] Saeed Ghadimi and Mengdi Wang. Approximation methods for bilevel programming. arXiv preprint arXiv:1802.02246, 2018.
[18] Junjie Yang, Kaiyi Ji, and Yingbin Liang. Provably faster algorithms for bilevel optimization. Advances in Neural Information Processing Systems, 34:13670-13682, 2021.