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The bilevel facility location problem (BO-FLP) is one of the core optimization problems behind the design of many decentralized industrial systems, e.g., supply chain systems where a supplier constructs some critical facilities and then…

最优化与控制 · 数学 2026-03-24 Haitao Hu , Jing Li , Jiafu Tang , Bo Zeng

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…

机器学习 · 计算机科学 2021-08-03 Kaiyi Ji

Bi-level optimization problems, where one wishes to find the global minimizer of an upper-level objective function over the globally optimal solution set of a lower-level objective, arise in a variety of scenarios throughout science and…

最优化与控制 · 数学 2025-05-13 Nicolás García Trillos , Sixu Li , Konstantin Riedl , Yuhua Zhu

Optimizing credit limits, interest rates, and loan terms is crucial for managing borrower risk and lifetime value (LTV) in personal loan platform. However, counterfactual estimation of these continuous, multi-dimensional treatments faces…

机器学习 · 计算机科学 2025-08-12 Kexin Zhao , Bo Wang , Cuiying Zhao , Tongyao Wan

Many real-world combinatorial problems involve uncertain parameters, which can be predicted given contextual features and historical data. These `predict-then-optimize' or `contextual optimization' problems have gained significant…

机器学习 · 计算机科学 2026-05-19 Noah Schutte , Senne Berden , Tias Guns , Krzysztof Postek , Neil Yorke-Smith

Diffusion models, which iteratively denoise data samples to synthesize high-quality outputs, have achieved empirical success across domains. However, optimizing these models for downstream tasks often involves nested bilevel structures,…

机器学习 · 计算机科学 2025-08-06 Quan Xiao , Hui Yuan , A F M Saif , Gaowen Liu , Ramana Kompella , Mengdi Wang , Tianyi Chen

Despite the wide adoption of Large Language Models (LLM)s, clinical decision support systems face a critical challenge: achieving high predictive accuracy while generating explanations aligned with the predictions. Current approaches suffer…

人工智能 · 计算机科学 2026-05-07 H M Quamran Hasan , Housam Khalifa Bashier , Jiayi Dai , Mi-Young Kim , Randy Goebel

Many problems in machine learning involve bilevel optimization (BLO), including hyperparameter optimization, meta-learning, and dataset distillation. Bilevel problems consist of two nested sub-problems, called the outer and inner problems,…

机器学习 · 计算机科学 2022-12-29 Paul Vicol , Jonathan Lorraine , Fabian Pedregosa , David Duvenaud , Roger Grosse

Solving conditional moment restrictions (CMRs) is a key problem considered in statistics, causal inference, and econometrics, where the aim is to solve for a function of interest that satisfies some conditional moment equalities.…

机器学习 · 统计学 2025-06-25 Daqian Shao , Ashkan Soleymani , Francesco Quinzan , Marta Kwiatkowska

Decision-Focused Learning (DFL) is a paradigm for tailoring a predictive model to a downstream optimization task that uses its predictions in order to perform better on that specific task. The main technical challenge associated with DFL is…

机器学习 · 计算机科学 2022-11-10 Sanket Shah , Kai Wang , Bryan Wilder , Andrew Perrault , Milind Tambe

As machine learning (ML) applications grow increasingly complex in recent years, modern ML frameworks often need to address multiple potentially conflicting objectives with coupled decision variables across different layers. This creates a…

机器学习 · 计算机科学 2025-11-12 Zhiyao Zhang , Zhuqing Liu , Xin Zhang , Wen-Yen Chen , Jiyan Yang , Jia Liu

Decision-focused learning (DFL) has emerged as a powerful end-to-end alternative to conventional predict-then-optimize (PTO) pipelines by directly optimizing predictive models through downstream decision losses. Existing DFL frameworks are…

机器学习 · 计算机科学 2025-12-01 Xinyu Wang , Jinxiao Du , Yiyang Peng , Wei Ma

Bilevel programming has recently received attention in the literature due to its wide range of applications, including reinforcement learning and hyper-parameter optimization. However, it is widely assumed that the underlying bilevel…

机器学习 · 计算机科学 2024-10-11 Parvin Nazari , Ahmad Mousavi , Davoud Ataee Tarzanagh , George Michailidis

Causal learning is the key to obtaining stable predictions and answering \textit{what if} problems in decision-makings. In causal learning, it is central to seek methods to estimate the average treatment effect (ATE) from observational…

机器学习 · 统计学 2022-12-07 Yiyan Huang , Cheuk Hang Leung , Qi Wu , Xing Yan

knowledge graph-based recommendation methods have achieved great success in the field of recommender systems. However, over-reliance on high-quality knowledge graphs is a bottleneck for such methods. Specifically, the long-tailed…

信息检索 · 计算机科学 2023-10-03 Yubo Gao , Haotian Wu

Large neural networks pretrained on web-scale corpora are central to modern machine learning. In this paradigm, the distribution of the large, heterogeneous pretraining data rarely matches that of the application domain. This work considers…

机器学习 · 计算机科学 2023-11-21 David Grangier , Pierre Ablin , Awni Hannun

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…

最优化与控制 · 数学 2025-09-25 Timothy C. Y. Chan , Bo Lin , Shoshanna Saxe

Many of the observations we make are biased by our decisions. For instance, the demand of items is impacted by the prices set, and online checkout choices are influenced by the assortments presented. The challenge in decision-making under…

机器学习 · 计算机科学 2025-07-02 Rares Cristian , Pavithra Harsha , Georgia Perakis , Brian Quanz

Bilevel optimization, a well-established field for modeling hierarchical decision-making problems, has recently intersected with sustainability studies and practices, resulting in a series of works focusing on bilevel optimization problems…

最优化与控制 · 数学 2026-04-07 Giulia Caselli , Manuel Iori , Ivana Ljubić

Bilevel optimization is a powerful tool for modeling hierarchical decision making processes. However, the resulting problems are challenging to solve - both in theory and practice. Fortunately, there have been significant algorithmic…

最优化与控制 · 数学 2023-01-25 Yasmine Beck , Ivana Ljubić , Martin Schmidt