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This paper presents a method to simulate the thermal behavior of 3D systems using a graph neural network. The method discussed achieves a significant speed-up with respect to a traditional finite-element simulation. The graph neural network…

Computational Engineering, Finance, and Science · Computer Science 2022-09-29 Helios Sanchis-Alepuz , Monika Stipsitz

Dynamic pricing through bilevel programming is widely used for demand response but often assumes perfect knowledge of prosumer behavior, which is unrealistic in practical applications. This paper presents a novel framework that integrates…

Optimization and Control · Mathematics 2025-01-31 Bennevis Crowley , Jalal Kazempour , Lesia Mitridati , Mahnoosh Alizadeh

A large amount of data has been generated by grid operators solving AC optimal power flow (ACOPF) throughout the years, and we explore how leveraging this data can be used to help solve future ACOPF problems. We use this data to train a…

Optimization and Control · Mathematics 2019-05-23 Kyri Baker

Topological neural networks have emerged as powerful successors of graph neural networks. However, they typically involve higher-order message passing, which incurs significant computational expense. We circumvent this issue with a novel…

Machine Learning · Computer Science 2025-07-17 Maximilian Krahn , Vikas Garg

We study the network reconstruction problem for an epidemic reaction-diffusion. These models are an extension of deterministic, compartmental models to a graph setting, where the reactions within the nodes are coupled by a diffusion. We…

Chaotic Dynamics · Physics 2021-09-24 Louis-Brahim Beaufort , Pierre-Yves Massé , Antonin Reboulet , Laurent Oudre

Applying artificial intelligence to scientific problems (namely AI for science) is currently under hot debate. However, the scientific problems differ much from the conventional ones with images, texts, and etc., where new challenges…

Machine Learning · Statistics 2022-08-09 Xiao-Han Wang , Pei Shi , Bin Xi , Jie Hu , Shi-Ju Ran

Accurate knowledge of temperatures in power semiconductor modules is crucial for proper thermal management of such devices. Precise prediction of temperatures allows to operate the system at the physical limit of the device avoiding…

Signal Processing · Electrical Eng. & Systems 2020-06-15 Jakub Ševčík , Václav Šmídl , Ondřej Straka

In commercial buildings, about 40%-50% of the total electricity consumption is attributed to Heating, Ventilation, and Air Conditioning (HVAC) systems, which places an economic burden on building operators. In this paper, we intend to…

Systems and Control · Electrical Eng. & Systems 2020-07-23 Liang Yu , Yi Sun , Zhanbo Xu , Chao Shen , Dong Yue , Tao Jiang , Xiaohong Guan

Thermal power flow (TPF) is an important task for various control purposes in 4 Th generation district heating grids with multiple decentral heat sources and meshed grid structures. Computing the TPF, i.e., determining the grid state…

Machine Learning · Computer Science 2024-03-19 Andreas Bott , Mario Beykirch , Florian Steinke

Reliable prediction of system status is a highly demanded functionality of smart energy systems, which can enable users or human operators to react quickly to potential future system changes. By adopting the multi-timescale nexting method,…

Systems and Control · Computer Science 2016-07-19 Johannes Feldmaier , Dominik Meyer , Hao Shen , Klaus Diepold

We present a simple model that recalls two different patterns depending on the temperature. To realize a change in recall pattern due to temperature change, we embed two patterns to different graphs: the first pattern into a fully connected…

Disordered Systems and Neural Networks · Physics 2026-02-25 Munetaka Sasaki

The training of neural networks is a complex, high-dimensional, non-convex and noisy optimization problem whose theoretical understanding is interesting both from an applicative perspective and for fundamental reasons. A core challenge is…

Statistical Mechanics · Physics 2023-04-19 Theo Jules , Gal Brener , Tal Kachman , Noam Levi , Yohai Bar-Sinai

Advanced control strategies for delivering heat to users in a district heating network have the potential to improve performance and reduce wasted energy. To enable the design of such controllers, this paper proposes an automated plant…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Audrey Blizard , Stephanie Stockar

Industry 4.0 is driven by demands like shorter time-to-market, mass customization of products, and batch size one production. Reinforcement Learning (RL), a machine learning paradigm shown to possess a great potential in improving and…

Artificial Intelligence · Computer Science 2023-06-05 Georg Schäfer , Reuf Kozlica , Stefan Wegenkittl , Stefan Huber

We construct equilibrium networks by introducing an energy function depending on the degree of each node as well as the product of neighboring degrees. With this topological energy function, networks constitute a canonical ensemble, which…

Statistical Mechanics · Physics 2009-11-13 Daun Jeong , M. Y. Choi , Hyunggyu Park

Grid-interactive building control is a challenging and important problem for reducing carbon emissions, increasing energy efficiency, and supporting the electric power grid. Currently researchers and practitioners are confronted with a…

Systems and Control · Electrical Eng. & Systems 2022-10-20 David Biagioni , Xiangyu Zhang , Christiane Adcock , Michael Sinner , Peter Graf , Jennifer King

At high latitudes, many cities adopt a centralized heating system to improve the energy generation efficiency and to reduce pollution. In multi-tier systems, so-called district heating, there are a few efficient approaches for the flow rate…

Systems and Control · Electrical Eng. & Systems 2019-12-12 Tinghao Zhang , Jing Luo , Ping Chen , Jie Liu

For multilayer materials in thin substrate systems, interfacial failure is one of the most challenges. The traction-separation relations (TSR) quantitatively describe the mechanical behavior of a material interface undergoing openings,…

Computational Engineering, Finance, and Science · Computer Science 2020-12-01 Jiaxin Zhang , Congjie Wei , Chenglin Wu

Improving energy efficiency in residential buildings is critical to combating climate change and reducing greenhouse gas emissions. Retrofitting existing buildings, which contribute a significant share of energy use, is therefore a key…

We define a \emph{thermal network}, which is a network where the flow functionality of a node depends upon its temperature. This model is inspired by several types of real-life networks, and generalizes some conventional network models…

Discrete Mathematics · Computer Science 2016-07-12 Samiksha Sarwari , Shrisha Rao
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