Techniques for Gradient-Based Bilevel Optimization with Non-smooth Lower Level Problems-Reference-Cited by-同舟云学术

Techniques for Gradient-Based Bilevel Optimization with Non-smooth Lower Level Problems

Published:2016-05-17 Issue:2 Volume:56 Page:175-194
ISSN:0924-9907
Container-title:Journal of Mathematical Imaging and Vision
language:en
Short-container-title:J Math Imaging Vis

Author:

Ochs Peter,Ranftl René,Brox Thomas,Pock Thomas

Funder

Deutsche Forschungsgemeinschaft

Austrian Science Fund (AT)

Austrian Science Fund

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Computer Vision and Pattern Recognition,Condensed Matter Physics,Modelling and Simulation,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s10851-016-0663-7.pdf

Reference41 articles.

1. Al-Baali, M.: Descent property and global convergence of the Fletcher–Reeves method with inexact line search. IMA J. Numer. Anal. 5(1), 121–124 (1985)

2. Attouch, H., Bolte, J., Svaiter, B.: Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods. Math. Program. 137(1–2), 91–129 (2013)

3. Beck, A., Teboulle, M.: Mirror descent and nonlinear projected subgradient methods for convex optimization. Oper. Res. Lett. 31(3), 167–175 (2003)

4. Bennett, K., Kunapuli, G., Hu, J., Pang, J.S.: Bilevel optimization and machine learning. In: Computational Intelligence: Research Frontiers. Lecture Notes in Computer Science, vol. 5050, pp. 25–47. Springer, Berlin (2008)

5. Bregman, L.M.: The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming. USSR Comput. Math. Math. Phys. 7(3), 200–217 (1967)

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Unified smoothing approach for best hyperparameter selection problem using a bilevel optimization strategy;Mathematical Programming;2024-08-08

2. Novel Multi-Objective Bilevel Programming Model for the Ground Force Interdiction Deployment Problem;2024

3. Linearly convergent bilevel optimization with single-step inner methods;Computational Optimization and Applications;2023-09-28

4. Interpretable model learning in variational imaging: a bilevel optimization approach;IMA Journal of Applied Mathematics;2023-09-02

5. Bilevel Optimization Methods in Imaging;Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging;2023