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The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

Machine Learning · Computer Science 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

Residual-based adaptive strategies are widely used in scientific machine learning but remain largely heuristic. We introduce a unifying variational framework that formalizes these methods by integrating convex transformations of the…

Machine Learning · Computer Science 2025-09-29 Juan Diego Toscano , Daniel T. Chen , Vivek Oommen , Jérôme Darbon , George Em Karniadakis

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

As a multitude of capable machine learning (ML) models become widely available in forms such as open-source software and public APIs, central questions remain regarding their use in real-world applications, especially in high-stakes…

Machine Learning · Computer Science 2024-06-03 Dimitris Bertsimas , Matthew Peroni

The growing scale of power systems and the increasing uncertainty introduced by renewable energy sources necessitates novel optimization techniques that are significantly faster and more accurate than existing methods. The AC Optimal Power…

Optimization and Control · Mathematics 2025-12-02 Andrew Rosemberg , Michael Klamkin , Pascal Van Hentenryck

The use of residential photovoltaics has increased dramatically in recent years. With battery systems becoming more affordable, the optimal operation of a photovoltaic-battery system can bring significant savings to households. Optimal…

Machine Learning · Statistics 2026-05-28 Joris Depoortere , Hussain Kazmi , Johan Driesen

Formulating real-world optimization problems often begins with making predictions from historical data (e.g., an optimizer that aims to recommend fast routes relies upon travel-time predictions). Typically, learning the prediction model…

Machine Learning · Computer Science 2021-12-20 Chris Cameron , Jason Hartford , Taylor Lundy , Kevin Leyton-Brown

Conventional reinforcement learning (RL) needs an environment to collect fresh data, which is impractical when online interactions are costly. Offline RL provides an alternative solution by directly learning from the previously collected…

Machine Learning · Computer Science 2023-03-15 Han Zheng , Xufang Luo , Pengfei Wei , Xuan Song , Dongsheng Li , Jing Jiang

Reinforcement Learning (RL) has been shown effective in domains where the agent can learn policies by actively interacting with its operating environment. However, if we change the RL scheme to offline setting where the agent can only…

Machine Learning · Computer Science 2021-11-11 Jinning Li , Chen Tang , Masayoshi Tomizuka , Wei Zhan

This paper proposes a novel and simple linear model to capture line losses for use in linearized DC models, such as optimal power flow (DC-OPF) and security-constrained economic dispatch (SCED). The \textit{Line Loss Outer Approximation}…

Optimization and Control · Mathematics 2021-12-28 Haoruo Zhao , Mathieu Tanneau , Pascal Van Hentenryck

Two-stage risk-averse distributionally robust optimization (DRO) problems are ubiquitous across many engineering and business applications. Despite their promising resilience, two-stage DRO problems are generally computationally…

Optimization and Control · Mathematics 2024-12-24 Yue Lin , Daniel Zhuoyu Long , Viet Anh Nguyen , Jin Qi

Sparse decision trees are one of the most common forms of interpretable models. While recent advances have produced algorithms that fully optimize sparse decision trees for prediction, that work does not address policy design, because the…

Machine Learning · Computer Science 2022-10-27 Ali Behrouz , Mathias Lecuyer , Cynthia Rudin , Margo Seltzer

This paper presents PDx, an adaptive, machine learning operations (MLOps) driven decision system for forecasting credit risk using probability of default (PD) modeling in digital lending. While conventional PD models prioritize predictive…

Machine Learning · Computer Science 2025-12-30 Sultan Amed , Chan Yu Hang , Sayantan Banerjee

Autonomous robot navigation systems often rely on hierarchical planning, where global planners compute collision-free paths without considering dynamics, and local planners enforce dynamics constraints to produce executable commands. This…

Robotics · Computer Science 2025-10-14 Yuanjie Lu , Mingyang Mao , Tong Xu , Linji Wang , Xiaomin Lin , Xuesu Xiao

Trajectory prediction is central to the safe and seamless operation of autonomous vehicles (AVs). In deployment, however, prediction models inevitably face distribution shifts between training data and real-world conditions, where rare or…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Tongfei Guo , Lili Su

We propose a computationally-friendly adaptive learning rate schedule, "AdaLoss", which directly uses the information of the loss function to adjust the stepsize in gradient descent methods. We prove that this schedule enjoys linear…

Machine Learning · Statistics 2021-09-20 Xiaoxia Wu , Yuege Xie , Simon Du , Rachel Ward

The power flow equations are fundamental to power system planning, analysis, and control. However, the inherent non-linearity and non-convexity of these equations present formidable obstacles in problem-solving processes. To mitigate these…

Optimization and Control · Mathematics 2024-11-15 Paprapee Buason , Sidhant Misra , Jean-Paul Watson , Daniel K. Molzahn

Online multi-task learning (OMTL) enhances streaming data processing by leveraging the inherent relations among multiple tasks. It can be described as an optimization problem in which a single loss function is defined for multiple tasks.…

Machine Learning · Computer Science 2024-11-12 Ruiyu Li , Peilin Zhao , Guangxia Li , Zhiqiang Xu , Xuewei Li

Machine learning (ML)-assisted outage-based resource allocation has recently emerged as an effective alternative to conventional scheduling methods in reliability-critical wireless systems. However, existing approaches are fundamentally…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Amir Masoud Molaei , Nidhi Simmons , David E. Simmons , Okan Yurduseven

Power systems modeling and planning has long leveraged mathematical programming for its ability to provide optimality and feasibility guarantees. One feature that has been recognized in the optimization literature since the 1970s is the…

Optimization and Control · Mathematics 2025-11-13 Matthew Viens , J. Kyle Skolfield , William E. Hart , Michael Ferris
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