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Data-driven discovery of partial differential equations (PDEs) has achieved considerable development in recent years. Several aspects of problems have been resolved by sparse regression-based and neural network-based methods. However, the…

Machine Learning · Computer Science 2021-09-29 Hao Xu , Dongxiao Zhang

The validation of data from sensors has become an important issue in the operation and control of modern industrial plants. One approach is to use knowledge based techniques to detect inconsistencies in measured data. This article presents…

Artificial Intelligence · Computer Science 2013-02-18 Pablo H. Ibarguengoytia , Luis Enrique Sucar , Sunil Vadera

We combine concepts from multilevel solvers for partial differential equations (PDEs) with neural network based deep learning and propose a new methodology for the efficient numerical solution of high-dimensional parametric PDEs. An…

Machine Learning · Computer Science 2023-04-05 Cosmas Heiß , Ingo Gühring , Martin Eigel

We develop, analyze, and experimentally explore residual-based loss functions for machine learning of parameter-to-solution maps in the context of parameter-dependent families of partial differential equations (PDEs). Our primary concern is…

Numerical Analysis · Mathematics 2025-06-24 Pablo Cortés Castillo , Wolfgang Dahmen , Jay Gopalakrishnan

Physics-Informed Neural Networks (PINNs) are machine learning tools that approximate the solution of general partial differential equations (PDEs) by adding them in some form as terms of the loss/cost function of a Neural Network. Most…

Numerical Analysis · Mathematics 2022-08-29 Antonio Tadeu Azevedo Gomes , Larissa Miguez da Silva , Frederic Valentin

Probabilistic power flow (PPF) plays a critical role in power system analysis. However, the high computational burden makes it challenging for the practical implementation of PPF. This paper proposes a model-based deep learning approach to…

Signal Processing · Electrical Eng. & Systems 2019-09-17 Yan Yang , Zhifang Yang , Juan Yu , Baosen Zhang

A key feature of out-of-distribution (OOD) detection is to exploit a trained neural network by extracting statistical patterns and relationships through the multi-layer classifier to detect shifts in the expected input data distribution.…

Machine Learning · Computer Science 2023-06-07 Eduardo Dadalto , Pierre Colombo , Guillaume Staerman , Nathan Noiry , Pablo Piantanida

Motivated by the need to localise faults along electrical power lines, this paper adopts a frequency-domain approach to parameter estimation for an infinite-dimensional linear dynamical system with one spatial variable. Since the time of…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Daniel Selvaratnam , Amritam Das , Henrik Sandberg

Smart grids extremely rely on Information and Communications Technology (ICT) and smart meters to control and manage numerous parameters of the network. However, using these infrastructures make smart grids more vulnerable to cyber threats…

Machine Learning · Computer Science 2021-02-12 Hossein Mohammadi Rouzbahani , Hadis Karimipour , Lei Lei

Physics-informed neural networks (PINNs) constitute a flexible deep learning approach for solving partial differential equations (PDEs), which model phenomena ranging from heat conduction to quantum mechanical systems. Despite their…

Machine Learning · Computer Science 2026-03-17 Aleksander Krasowski , René P. Klausen , Aycan Celik , Sebastian Lapuschkin , Wojciech Samek , Jonas Naujoks

An accurate seizure prediction system enables early warnings before seizure onset of epileptic patients. It is extremely important for drug-refractory patients. Conventional seizure prediction works usually rely on features extracted from…

Signal Processing · Electrical Eng. & Systems 2021-08-18 Yankun Xu , Jie Yang , Shiqi Zhao , Hemmings Wu , Mohamad Sawan

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Chord recognition systems depend on robust feature extraction pipelines. While these pipelines are traditionally hand-crafted, recent advances in end-to-end machine learning have begun to inspire researchers to explore data-driven methods…

Machine Learning · Computer Science 2016-12-16 Filip Korzeniowski , Gerhard Widmer

Deep learning (DL) algorithms have been widely applied to short-term voltage stability (STVS) assessment in power systems. However, transferring the knowledge learned in one power grid to other power grids with topology changes is still a…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Zijian Feng , Xin Chen , Zijian Lv , Peiyuan Sun , Kai Wu

We present a highly compact run-time monitoring approach for deep computer vision networks that extracts selected knowledge from only a few (down to merely two) hidden layers, yet can efficiently detect silent data corruption originating…

Computer Vision and Pattern Recognition · Computer Science 2023-11-03 Florian Geissler , Syed Qutub , Michael Paulitsch , Karthik Pattabiraman

The trend toward Microgrids (MGs) is significantly increasing by employing Distributed Generators (DGs) which leads to new challenges, especially in the fault detection. This paper proposes an algorithm based on the Total Harmonic…

Systems and Control · Electrical Eng. & Systems 2023-03-29 Wael Al Hanaineh , Jose Matas , Jorge. El mariachet , Josep. M. Guerrero

Energy disaggregation is the task of discerning the energy consumption of individual appliances from aggregated measurements, which holds promise for understanding and reducing energy usage. In this paper, we propose PHASED, an optimization…

Signal Processing · Electrical Eng. & Systems 2020-10-05 Faisal M. Almutairi , Aritra Konar , Ahmed S. Zamzam , Nicholas D. Sidiropoulos

The knowledge of the topology of a wired network is often of fundamental importance. For instance, in the context of Power Line Communications (PLC) networks it is helpful to implement data routing strategies, while in power distribution…

Networking and Internet Architecture · Computer Science 2017-08-22 Federico Passerini , Andrea M. Tonello

Phase recovery (PR) refers to calculating the phase of the light field from its intensity measurements. As exemplified from quantitative phase imaging and coherent diffraction imaging to adaptive optics, PR is essential for reconstructing…

The use of phasor angle measurements provided by phasor measurement units (PMUs) in fault detection is regarded as a promising method in identifying locations of power line outages. However, communication errors or system malfunctions may…

Systems and Control · Computer Science 2016-11-17 Wen-Tai Li , Chao-Kai Wen , Jung-Chieh Chen , Kai-Kit Wong , Jen-Hao Teng , Chau Yuen