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We focus on the continual learning problem where the tasks arrive sequentially and the aim is to perform well on the newly arrived task without performance degradation on the previously seen tasks. In contrast to the continual learning…

Machine Learning · Statistics 2023-12-06 Martin Hellkvist , Ayça Özçelikkale , Anders Ahlén

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 and continual learning. Although many bilevel optimization…

Optimization and Control · Mathematics 2023-11-21 Feihu Huang

Bilevel optimization has become a powerful framework in various machine learning applications including meta-learning, hyperparameter optimization, and network architecture search. There are generally two classes of bilevel optimization…

Machine Learning · Computer Science 2021-08-03 Kaiyi Ji

Bias is a common problem inherent in recommender systems, which is entangled with users' preferences and poses a great challenge to unbiased learning. For debiasing tasks, the doubly robust (DR) method and its variants show superior…

Information Retrieval · Computer Science 2023-03-03 Haoxuan Li , Yan Lyu , Chunyuan Zheng , Peng Wu

As AI becomes more personal, e.g., Agentic AI, there is an increasing need for personalizing models for various use cases. Personalized federated learning (PFL) enables each client to collaboratively leverage other clients' knowledge for…

Machine Learning · Computer Science 2026-03-10 Minhyuk Seo , Taeheon Kim , Hankook Lee , Jonghyun Choi , Tinne Tuytelaars

This paper reviews gradient-based techniques to solve bilevel optimization problems. Bilevel optimization is a general way to frame the learning of systems that are implicitly defined through a quantity that they minimize. This…

Machine Learning · Computer Science 2023-05-26 Nicolas Zucchet , João Sacramento

Bilevel optimization has been recently used in many machine learning problems such as hyperparameter optimization, policy optimization, and meta learning. Although many bilevel optimization methods have been proposed, they still suffer from…

Optimization and Control · Mathematics 2022-10-27 Feihu Huang , Junyi Li , Shangqian Gao , Heng Huang

This paper presents a comprehensive review of techniques proposed in the literature for solving bilevel optimization problems encountered in various real-life applications. Bilevel optimization is an appropriate choice for hierarchical…

Optimization and Control · Mathematics 2025-11-06 Dhaval Pujara , Ankur Sinha

Integration of edge, cloud and space devices into a unified 3D continuum imposes significant challenges for client selection in federated learning systems. Traditional approaches rely on continuous monitoring and historical data collection,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-12 Andrija Stanisic , Stefan Nastic

In this paper, we consider non-convex stochastic bilevel optimization (SBO) problems that have many applications in machine learning. Although numerous studies have proposed stochastic algorithms for solving these problems, they are limited…

Optimization and Control · Mathematics 2021-06-15 Zhishuai Guo , Quanqi Hu , Lijun Zhang , Tianbao Yang

A wide range of decision problems can be formulated as bilevel programs with independent followers, which as a special case include two-stage stochastic programs. These problems are notoriously difficult to solve especially when a large…

Optimization and Control · Mathematics 2025-09-25 Timothy C. Y. Chan , Bo Lin , Shoshanna Saxe

Two-stage robust optimization problems constitute one of the hardest optimization problem classes. One of the solution approaches to this class of problems is K-adaptability. This approach simultaneously seeks the best partitioning of the…

Optimization and Control · Mathematics 2024-10-16 Esther Julien , Krzysztof Postek , Ş. İlker Birbil

Identifying clients with similar objectives and learning a model-per-cluster is an intuitive and interpretable approach to personalization in federated learning. However, doing so with provable and optimal guarantees has remained an open…

Machine Learning · Computer Science 2023-12-19 Mariel Werner , Lie He , Michael Jordan , Martin Jaggi , Sai Praneeth Karimireddy

A bilevel optimization problem consists of two optimization problems nested as an upper- and a lower-level problem, in which the optimality of the lower-level problem defines a constraint for the upper-level problem. This paper considers…

Machine Learning · Computer Science 2026-02-27 Takuya Kanayama , Yuki Ito , Tomoyuki Tamura , Masayuki Karasuyama

As a promising paradigm federated Learning (FL) is widely used in privacy-preserving machine learning, which allows distributed devices to collaboratively train a model while avoiding data transmission among clients. Despite its immense…

Machine Learning · Computer Science 2023-08-29 Jinglong Shen , Xiucheng Wang , Nan Cheng , Longfei Ma , Conghao Zhou , Yuan Zhang

Recently, deep learning has experienced rapid expansion, contributing significantly to the progress of supervised learning methodologies. However, acquiring labeled data in real-world settings can be costly, labor-intensive, and sometimes…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Jicheng Yuan , Anh Le-Tuan , Ali Ganbarov , Manfred Hauswirth , Danh Le-Phuoc

Bilevel programming can be used to formulate many problems in the field of power systems, such as strategic bidding. However, common reformulations of bilevel problems to mixed-integer linear programs make solving such problems hard, which…

Optimization and Control · Mathematics 2022-07-11 Eléa Prat , Spyros Chatzivasileiadis

Data augmentation refers to a wide range of techniques for improving model generalization by augmenting training examples. Oftentimes such methods require domain knowledge about the dataset at hand, spawning a plethora of recent literature…

Machine Learning · Computer Science 2021-04-05 Heejung W. Chung , Avoy Datta , Chris Waites

The problem of selecting an appropriate number of features in supervised learning problems is investigated in this paper. Starting with common methods in machine learning, we treat the feature selection task as a quadratic unconstrained…

Quantum Physics · Physics 2023-06-21 Gerhard Hellstern , Vanessa Dehn , Martin Zaefferer

Bilevel optimization is a hierarchical framework where an upper-level optimization problem is constrained by a lower-level problem, commonly used in machine learning applications such as hyperparameter optimization. Existing bilevel…

Optimization and Control · Mathematics 2026-03-03 Yuman Wu , Xiaochuan Gong , Jie Hao , Mingrui Liu