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This paper proposes a neural stochastic optimization method for efficiently solving the two-stage stochastic unit commitment (2S-SUC) problem under high-dimensional uncertainty scenarios. The proposed method approximates the second-stage…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Zhentong Shao , Jingtao Qin , Nanpeng Yu

The convergence behaviour of first-order methods can be severely slowed down when applied to high-dimensional non-convex functions due to the presence of saddle points. If, additionally, the saddles are surrounded by large plateaus, it is…

Optimization and Control · Mathematics 2023-09-12 Nick Tsipinakis , Panos Parpas

This research gauges the ability of deep reinforcement learning (DRL) techniques to assist the optimization and control of fluid mechanical systems. It combines a novel, "degenerate" version of the proximal policy optimization (PPO)…

Optimization and Control · Mathematics 2021-05-19 H. Ghraieb , J. Viquerat , A. Larcher , P. Meliga , E. Hachem

We present a novel regularization approach to train neural networks that enjoys better generalization and test error than standard stochastic gradient descent. Our approach is based on the principles of cross-validation, where a validation…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Simon Jenni , Paolo Favaro

Incentive-based load curtailment unlocks critical demand-side flexibility but is hindered by the limited knowledge of private user parameters and the inherent nonsmoothness of responses due to physical device constraints. We address this…

Systems and Control · Electrical Eng. & Systems 2026-05-27 Zhisen Jiang , Florian Dörfler , Saverio Bolognani

Developing a safe, stable, and efficient obstacle avoidance policy in crowded and narrow scenarios for multiple robots is challenging. Most existing studies either use centralized control or need communication with other robots. In this…

Robotics · Computer Science 2022-09-15 Jiafeng Ma , Guangda chen , Yingfeng Chen , Yujing Hu , Changjie Fan , Jianming Zhang

In this paper, we study a fixed-confidence, fixed-tolerance formulation of a class of stochastic bi-level optimization problems, where the upper-level problem selects from a finite set of systems based on a performance metric, and the…

Optimization and Control · Mathematics 2025-01-20 Yuhao Wang , Seong-Hee Kim , Enlu Zhou

Meta-learning methods aim to build learning algorithms capable of quickly adapting to new tasks in low-data regime. One of the most difficult benchmarks of such algorithms is a one-shot learning problem. In this setting many algorithms face…

Machine Learning · Computer Science 2022-10-04 Andrei Boiarov , Kostiantyn Khabarlak , Igor Yastrebov

Bilevel optimization is characterized by a two-level optimization structure, where the upper-level problem is constrained by optimal lower-level solutions, and such structures are prevalent in real-world problems. The constraint by optimal…

Machine Learning · Computer Science 2025-05-29 Ruth Wan Theng Chew , Quoc Phong Nguyen , Bryan Kian Hsiang Low

Bilevel optimization (BLO) offers a principled framework for hierarchical decision-making and has been widely applied in machine learning tasks such as hyperparameter optimization and meta-learning. While existing BLO methods are mostly…

Optimization and Control · Mathematics 2025-10-20 Zhuo Chen , Xinjian Xu , Shihui Ying , Tieyong Zeng

Bilevel optimization is a central tool in machine learning for high-dimensional hyperparameter tuning. Its applications are vast; for instance, in imaging it can be used for learning data-adaptive regularizers and optimizing forward…

Optimization and Control · Mathematics 2025-11-11 Mohammad Sadegh Salehi , Subhadip Mukherjee , Lindon Roberts , Matthias J. Ehrhardt

In this paper, we study a class of bilevel optimization program (BP), where the feasible set of the lower level program is independent of the upper level variable. For bilevel programs it is known that the first order approach requires the…

Optimization and Control · Mathematics 2026-02-27 Kuang Bai , Wei Yao , Jane J. Ye , Jin Zhang

This paper introduces SmartBSP, an advanced self-supervised learning framework for real-time path planning and obstacle avoidance in autonomous robotics navigating through complex environments. The proposed system integrates Proximal Policy…

Robotics · Computer Science 2025-09-03 Shahab Shokouhi , Oguzhan Oruc , May-Win Thein

Stochastic Bilevel Optimization has emerged as a fundamental framework for meta-learning and hyperparameter optimization. Despite the practical prevalence of single-loop algorithms--which update lower and upper variables concurrently--their…

Machine Learning · Computer Science 2026-03-02 Yubo Zhou , Luo Luo , Guang Dai , Haishan Ye

Bilevel optimization has arisen as a powerful tool in modern machine learning. However, due to the nested structure of bilevel optimization, even gradient-based methods require second-order derivative approximations via Jacobian- or/and…

Machine Learning · Computer Science 2022-06-07 Daouda Sow , Kaiyi Ji , Yingbin Liang

While variance reduction methods have shown great success in solving large scale optimization problems, many of them suffer from accumulated errors and, therefore, should periodically require the full gradient computation. In this paper, we…

Machine Learning · Computer Science 2022-10-05 Kazusato Oko , Shunta Akiyama , Tomoya Murata , Taiji Suzuki

Decentralized bilevel optimization has received increasing attention recently due to its foundational role in many emerging multi-agent learning paradigms (e.g., multi-agent meta-learning and multi-agent reinforcement learning) over…

Machine Learning · Computer Science 2023-01-23 Peiwen Qiu , Yining Li , Zhuqing Liu , Prashant Khanduri , Jia Liu , Ness B. Shroff , Elizabeth Serena Bentley , Kurt Turck

Bilevel optimization has recently attracted significant attention in machine learning due to its wide range of applications and advanced hierarchical optimization capabilities. In this paper, we propose a plug-and-play framework, named…

Optimization and Control · Mathematics 2025-05-05 Tianshu Chu , Dachuan Xu , Wei Yao , Chengming Yu , Jin Zhang

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 Strong Convexity (LLSC) condition or on solving a series…

Optimization and Control · Mathematics 2023-07-03 Risheng Liu , Yaohua Liu , Wei Yao , Shangzhi Zeng , Jin Zhang

This paper presents a fully decentralized approach for realtime non-cooperative multi-robot navigation in social mini-games, such as navigating through a narrow doorway or negotiating right of way at a corridor intersection. Our…

Robotics · Computer Science 2023-06-16 Rohan Chandra , Rahul Menon , Zayne Sprague , Arya Anantula , Joydeep Biswas
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