Averaged method of multipliers for bi-level optimization without lower-level strong convexity

R Liu, Y Liu, W Yao, S Zeng… - … Conference on Machine …, 2023 - proceedings.mlr.press
Gradient methods have become mainstream techniques for Bi-Level Optimization (BLO) in
learning fields. The validity of existing works heavily rely on either a restrictive Lower-Level …

Bome! bilevel optimization made easy: A simple first-order approach

B Liu, M Ye, S Wright, P Stone… - Advances in neural …, 2022 - proceedings.neurips.cc
Bilevel optimization (BO) is useful for solving a variety of important machine learning
problems including but not limited to hyperparameter optimization, meta-learning, continual …

An Introduction to Bilevel Optimization: Foundations and applications in signal processing and machine learning

Y Zhang, P Khanduri, I Tsaknakis, Y Yao… - IEEE Signal …, 2024 - ieeexplore.ieee.org
Recently, bilevel optimization (BLO) has taken center stage in some very exciting
developments in the area of signal processing (SP) and machine learning (ML). Roughly …

Slm: A smoothed first-order lagrangian method for structured constrained nonconvex optimization

S Lu - Advances in Neural Information Processing Systems, 2024 - proceedings.neurips.cc
Functional constrained optimization (FCO) has emerged as a powerful tool for solving
various machine learning problems. However, with the rapid increase in applications of …

Non-convex bilevel games with critical point selection maps

M Arbel, J Mairal - Advances in Neural Information …, 2022 - proceedings.neurips.cc
Bilevel optimization problems involve two nested objectives, where an upper-level objective
depends on a solution to a lower-level problem. When the latter is non-convex, multiple …

A task-guided, implicitly-searched and metainitialized deep model for image fusion

R Liu, Z Liu, J Liu, X Fan, Z Luo - IEEE Transactions on Pattern …, 2024 - ieeexplore.ieee.org
Image fusion plays a key role in a variety of multi-sensor-based vision systems, especially
for enhancing visual quality and/or extracting aggregated features for perception. However …

Learning with constraint learning: New perspective, solution strategy and various applications

R Liu, J Gao, X Liu, X Fan - IEEE Transactions on Pattern …, 2024 - ieeexplore.ieee.org
The complexity of learning problems, such as Generative Adversarial Network (GAN) and its
variants, multi-task and meta-learning, hyper-parameter learning, and a variety of real-world …

On momentum-based gradient methods for bilevel optimization with nonconvex lower-level

F Huang - arXiv preprint arXiv:2303.03944, 2023 - arxiv.org
Bilevel optimization is a popular two-level hierarchical optimization, which has been widely
applied to many machine learning tasks such as hyperparameter learning, meta learning …

Constrained bi-level optimization: Proximal lagrangian value function approach and hessian-free algorithm

W Yao, C Yu, S Zeng, J Zhang - arXiv preprint arXiv:2401.16164, 2024 - arxiv.org
This paper presents a new approach and algorithm for solving a class of constrained Bi-
Level Optimization (BLO) problems in which the lower-level problem involves constraints …

Linearly constrained bilevel optimization: A smoothed implicit gradient approach

P Khanduri, I Tsaknakis, Y Zhang… - International …, 2023 - proceedings.mlr.press
This work develops analysis and algorithms for solving a class of bilevel optimization
problems where the lower-level (LL) problems have linear constraints. Most of the existing …