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Gradient methods have become mainstream techniques for Bi-Level Optimization (BLO) in learning fields.
On the numerical solution of a class of stackelberg problems
Outrata, J. V · 1990
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Optimality conditions for bilevel programming problems
Ye, J. and Zhu, D · 1995
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Generative adversarial nets
Goodfellow, I., Pouget-Abadie, J., Mirza, M., Xu, B., Warde-Farley, D., Ozair, S., Courville, A., and Bengio, Y · 2014
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Gradient-based hyperparameter optimization through reversible learning
Maclaurin, D., Duvenaud, D., and Adams, R · 2015
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Hyperparameter optimization with approximate gradient
Pedregosa, F · 2016
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Connecting generative adversarial networks and actor-critic methods
Pfau, D. and Vinyals, O · 2016
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First-order methods in optimization
Beck, A · 2017
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Model-agnostic meta-learning for fast adaptation of deep networks
Finn, C., Abbeel, P., and Levine, S · 2017
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Forward and reverse gradient-based hyperparameter optimization
Franceschi, L., Donini, M., Frasconi, P., and Pontil, M · 2017
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A first order method for solving convex bilevel optimization problems
Sabach, S. and Shtern, S · 2017
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Bilevel programming for hyperparameter optimization and meta-learning
Franceschi, L., Frasconi, P., Salzo, S., Grazzi, R., and Pontil, M · 2018
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Approximation methods for bilevel programming
Ghadimi, S. and Wang, M · 2018
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Darts: Differentiable architecture search
Liu, H., Simonyan, K., and Yang, Y · 2018
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Lectures on convex optimization , volume 137
Nesterov, Y · 2018
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Hyperparameter learning via bilevel nonsmooth optimization
Okuno, T., Takeda, A., and Kawana, A · 2018
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Adversarial attacks on graph neural networks via meta learning
Zügner, D. and Günnemann, S · 2018
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Progressive differentiable architecture search: Bridging the depth gap between search and evaluation
Chen, X., Xie, L., Wu, J., and Tian, Q · 2019
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Darts+: Improved differentiable architecture search with early stopping
Liang, H., Zhang, S., Sun, J., He, X., Huang, W., Zhuang, K., and Li, Z · 2019
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Self-tuning networks: Bilevel optimization of hyperparameters using structured best-response functions
Mackay, M., Vicol, P., Lorraine, J., Duvenaud, D., and Grosse, R · 2019
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Meta-learning with implicit gradients
Rajeswaran, A., Finn, C., Kakade, S. M., and Levine, S · 2019
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Closing the gap: Tighter analysis of alternating stochastic gradient methods for bilevel problems
Chen, T., Sun, Y., and Yin, W · 2021
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Automatic and harmless regularization with constrained and lexicographic optimization: A dynamic barrier approach
Gong, C., Liu, X., and Liu, Q · 2021
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Bilevel optimization: Convergence analysis and enhanced design
Ji, K., Yang, J., and Liang, Y · 2021
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A near-optimal algorithm for stochastic bilevel optimization via double-momentum
Khanduri, P., Zeng, S., Hong, M., Wai, H.-T., Wang, Z., and Yang, Z · 2021
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Penalty method for inversion-free deep bilevel optimization
Mehra, A. and Hamm, J · 2021
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A single-timescale method for stochastic bilevel optimization
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Shaban, A., Cheng, C.-A., Hatch, N., and Boots, B · 2019
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Provably global convergence of actor-critic: A case for linear quadratic regulator with ergodic cost
Yang, Z., Chen, Y., Hong, M., and Wang, Z · 2019
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Meta-learning of neural architectures for few-shot learning
Elsken, T., Staffler, B., Metzen, J. H., and Hutter, F · 2020
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On the iteration complexity of hypergradient computation
Grazzi, R., Franceschi, L., Pontil, M., and Salzo, S · 2020
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Convergence of meta-learning with task-specific adaptation over partial parameters
Ji, K., Lee, J. D., Liang, Y., and Poor, H. V · 2020
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Mpec methods for bilevel optimization problems
Kim, Y., Leyffer, S., and Munson, T · 2020
Cited alongside, same era.
Improved bilevel model: Fast and optimal algorithm with theoretical guarantee
Li, J., Gu, B., and Huang, H · 2020
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Chen, T., Sun, Y., Xiao, Q., and Yin, W · 2022
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A framework for bilevel optimization that enables stochastic and global variance reduction algorithms
Dagréou, M., Ablin, P., Vaiter, S., and Moreau, T · 2022
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Enhanced bilevel optimization via bregman distance
Huang, F., Li, J., Gao, S., and Huang, H · 2022
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Lower bounds and accelerated algorithms for bilevel optimization
Ji, K. and Liang, Y · 2022
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Will bilevel optimizers benefit from loops
Ji, K., Liu, M., Liang, Y., and Ying, L · 2022
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A fully single loop algorithm for bilevel optimization without hessian inverse
Li, J., Gu, B., and Huang, H · 2022
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A constrained optimization approach to bilevel optimization with multiple inner minima
Sow, D., Ji, K., Guan, Z., and Liang, Y · 2022
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Bome! bilevel optimization made easy: A simple first-order approach
Ye, M., Liu, B., Wright, S., Stone, P., and Liu, Q · 2022
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On bilevel optimization without lower-level strong convexity
Chen, L., Xu, J., and Zhang, J · 2023
Closest in time.
A two-timescale framework for bilevel optimization: Complexity analysis and application to actor-critic
Hong, M., Wai, H.-T., Wang, Z., and Yang, Z · 2023
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