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Physics-informed neural networks (PINNs) are capable of finding the solution for a given boundary value problem. We employ several ideas from the finite element method (FEM) to enhance the performance of existing PINNs in engineering…

计算工程、金融与科学 · 计算机科学 2022-10-05 Shahed Rezaei , Ali Harandi , Ahmad Moeineddin , Bai-Xiang Xu , Stefanie Reese

Physics-Informed Neural Networks have become a powerful mesh-free method for solving partial differential equations, but their performance is often limited by spectral bias. Specifically, in standard MLPs used in PINNs, the global parameter…

机器学习 · 计算机科学 2026-05-04 Jianfeng Li , Feng Wang , Ke Tang

Machine learning components commonly appear in larger decision-making pipelines; however, the model training process typically focuses only on a loss that measures accuracy between predicted values and ground truth values. Decision-focused…

机器学习 · 计算机科学 2019-07-19 Aaron Ferber , Bryan Wilder , Bistra Dilkina , Milind Tambe

In the wake of the highly electrified future ahead of us, the role of energy storage is crucial wherever distributed generation is abundant, such as in microgrid settings. Given the variety of storage options that are becoming more and more…

机器学习 · 计算机科学 2021-03-26 S. Tsianikas , N. Yousefi , J. Zhou , M. Rodgers , D. W. Coit

The goal to decarbonize the energy sector has led to increased research in modeling and optimizing multi-energy systems. One of the most promising techniques for modeling (multi-)energy optimization problems is mixed-integer programming…

最优化与控制 · 数学 2025-05-21 Stephanie Riedmüller , Annika Buchholz , Janina Zittel

With massive penetrations of active grid-edge technologies, distributed computing and optimization paradigm has gained significant attention to solve distribution-level optimal power flow (OPF) problems. However, the application of generic…

系统与控制 · 电气工程与系统科学 2022-05-23 Rabayet Sadnan , Anamika Dubey

Real-world optimization problems are often constrained by complex physical laws that limit computational scalability. These constraints are inherently tied to complex regions, and thus learning models that incorporate physical and geometric…

机器学习 · 计算机科学 2026-03-10 Yilin Wen , Yi Guo , Bo Zhao , Wei Qi , Zechun Hu , Colin Jones , Jian Sun

Optimizing the energy management within a smart grids scenario presents significant challenges, primarily due to the complexity of real-world systems and the intricate interactions among various components. Reinforcement Learning (RL) is…

机器学习 · 计算机科学 2025-10-21 Julen Cestero , Carmine Delle Femine , Kenji S. Muro , Marco Quartulli , Marcello Restelli

With dramatic breakthroughs in recent years, machine learning is showing great potential to upgrade the toolbox for power system optimization. Understanding the strength and limitation of machine learning approaches is crucial to decide…

系统与控制 · 电气工程与系统科学 2022-02-03 Guangchun Ruan , Haiwang Zhong , Guanglun Zhang , Yiliu He , Xuan Wang , Tianjiao Pu

Challenging combinatorial optimization problems are ubiquitous in science and engineering. Several quantum methods for optimization have recently been developed, in different settings including both exact and approximate solvers. Addressing…

量子物理 · 物理学 2023-09-20 Nicolas PD Sawaya , Albert T Schmitz , Stuart Hadfield

Real-world applications often combine learning and optimization problems on graphs. For instance, our objective may be to cluster the graph in order to detect meaningful communities (or solve other common graph optimization problems such as…

机器学习 · 计算机科学 2020-01-09 Bryan Wilder , Eric Ewing , Bistra Dilkina , Milind Tambe

Physics-Informed Neural Networks (PINNs) seek to solve partial differential equations (PDEs) with deep learning. Mainstream approaches that deploy fully-connected multi-layer deep learning architectures require prolonged training to achieve…

机器学习 · 计算机科学 2025-12-16 Shaghayegh Fazliani , Zachary Frangella , Madeleine Udell

The design of efficient and generic algorithms for solving combinatorial optimization problems has been an active field of research for many years. Standard exact solving approaches are based on a clever and complete enumeration of the…

机器学习 · 计算机科学 2021-04-21 Félix Chalumeau , Ilan Coulon , Quentin Cappart , Louis-Martin Rousseau

This paper presents a novel decision-focused framework integrating the physical energy storage model into machine learning pipelines. Motivated by the model predictive control for energy storage, our end-to-end method incorporates the prior…

系统与控制 · 电气工程与系统科学 2024-12-06 Ming Yi , Saud Alghumayjan , Bolun Xu

Sequential learning systems are used in a wide variety of problems from decision making to optimization, where they provide a 'belief' (opinion) to nature, and then update this belief based on the feedback (result) to minimize (or maximize)…

机器学习 · 计算机科学 2020-09-22 Kaan Gokcesu , Hakan Gokcesu

In Part I, a method for the Harmonic Power-Flow (HPF) study of three-phase power grids with Converter-Interfaced Distributed Energy Resources (CIDERs) is proposed. The method is based on generic and modular representations of the grid and…

系统与控制 · 电气工程与系统科学 2021-11-02 Johanna Kristin Maria Becker , Andreas Martin Kettner , Lorenzo Reyes-Chamorro , Zhixiang Zou , Marco Liserre , Mario Paolone

This paper has delved into the pressing need for intelligent emergency control in large-scale power systems, which are experiencing significant transformations and are operating closer to their limits with more uncertainties. Learning-based…

Optimization-based solvers play a central role in a wide range of signal processing and communication tasks. However, their applicability in latency-sensitive systems is limited by the sequential nature of iterative methods and the high…

信号处理 · 电气工程与系统科学 2026-03-12 Dvir Avrahami , Amit Milstein , Caroline Chaux , Tirza Routtenberg , Nir Shlezinger

The increasing scale and nonlinearity of modern energy and power system problems pose significant challenges to classical numerical solvers. In parallel, advances in quantum and quantum-inspired hardware are expected to improve scalability…

新兴技术 · 计算机科学 2026-04-28 Zeynab Kaseb , Matthias Moller , Peter Palensky , Pedro P. Vergara

Iterative methods are widely used for solving partial differential equations (PDEs). However, the difficulty in eliminating global low-frequency errors significantly limits their convergence speed. In recent years, neural networks have…

计算物理 · 物理学 2024-10-10 Daiwei Dong , Wei Suo , Jiaqing Kou , Weiwei Zhang