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We present two effective methods for solving high-dimensional partial differential equations (PDE) based on randomized neural networks. Motivated by the universal approximation property of this type of networks, both methods extend the…

Numerical Analysis · Mathematics 2023-09-14 Yiran Wang , Suchuan Dong

Extreme learning machine (ELM), proposed by Huang et al., has been shown a promising learning algorithm for single-hidden layer feedforward neural networks (SLFNs). Nevertheless, because of the random choice of input weights and biases, the…

Neural and Evolutionary Computing · Computer Science 2014-09-16 Yuguang Wang , Feilong Cao , Yubo Yuan

Machine learning technologies have found fertile ground in optics due to its promising features based on speed and parallelism. Feed-forward neural networks are one of the most widely used machine learning algorithms due to their simplicity…

Emerging Technologies · Computer Science 2023-10-25 Stefano Biasi , Riccardo Franchi , Lorenzo Cerini , Lorenzo Pavesi

Grid-forming (GFM) inverters are essential for enhancing stability in modern power systems with high penetration of inverter-based resources (IBRs). However, their performance highly depends on control parameters tuning, particularly the…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Kyung-Bin Kwon , Min Gyung Yu , Sayak Mukherjee , Timothy I. Salsbury

We consider the use of extreme learning machines (ELM) for computational partial differential equations (PDE). In ELM the hidden-layer coefficients in the neural network are assigned to random values generated on $[-R_m,R_m]$ and fixed,…

Computational Physics · Physics 2022-06-01 Suchuan Dong , Jielin Yang

In this work, a data-driven modeling framework of switched dynamical systems under time-dependent switching is proposed. The learning technique utilized to model system dynamics is Extreme Learning Machine (ELM). First, a method is…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Weiming Xiang

Extreme learning machine (ELM) is a network model that arbitrarily initializes the first hidden layer and can be computed speedily. In order to improve the classification performance of ELM, a $\ell_2$ and $\ell_{0.5}$ regularization ELM…

Optimization and Control · Mathematics 2023-01-05 Liangjuan Zhou , Wei Miao

The modern strategy for training deep neural networks for classification tasks includes optimizing the network's weights even after the training error vanishes to further push the training loss toward zero. Recently, a phenomenon termed…

Machine Learning · Computer Science 2022-10-13 Tom Tirer , Joan Bruna

In this paper, we aim at developing scalable neural network-type learning systems. Motivated by the idea of "constructive neural networks" in approximation theory, we focus on "constructing" rather than "training" feed-forward neural…

Machine Learning · Computer Science 2016-05-03 Shaobo Lin , Jinshan Zeng , Xiaoqin Zhang

Reconfigurable intelligent surface (RIS)-assisted orthogonal frequency division multiplexing (OFDM) systems have aroused extensive research interests due to the controllable communication environment and the performance of combating…

Signal Processing · Electrical Eng. & Systems 2021-10-27 Chaojin Qing , Li Wang , Lei Dong , Jiafan Wang

This paper is concerned with the sparsification of the input-hidden weights of ELM (Extreme Learning Machine). For ordinary feedforward neural networks, the sparsification is usually done by introducing certain regularization technique into…

Machine Learning · Computer Science 2018-01-23 Feng Li , Sibo Yang , Huanhuan Huang , Wei Wu

With the increasing penetration of renewable energy, frequency response and its security are of significant concerns for reliable power system operations. Frequency-constrained unit commitment (FCUC) is proposed to address this challenge.…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Yichen Zhang , Hantao Cui , Jianzhe Liu , Feng Qiu , Tianqi Hong , Rui Yao , Fangxing Li

Deep energy-based models (EBMs) are very flexible in distribution parametrization but computationally challenging because of the intractable partition function. They are typically trained via maximum likelihood, using contrastive divergence…

Machine Learning · Computer Science 2020-07-22 Lantao Yu , Yang Song , Jiaming Song , Stefano Ermon

The electric grid is undergoing a major transition from fossil fuel-based power generation to renewable energy sources, typically interfaced to the grid via power electronics. The future power systems are thus expected to face increased…

Systems and Control · Electrical Eng. & Systems 2020-07-13 Ognjen Stanojev , Ognjen Kundacina , Uros Markovic , Evangelos Vrettos , Petros Aristidou , Gabriela Hug

The rapid expansion of data center infrastructure is reshaping power system dynamics by significantly increasing electricity demand while also offering potential for fast and controllable flexibility. To ensure reliable operation under such…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Pengyu Ren , Wei Sun , Yifan Wang , Gareth Harrison

Electrical machines employing superconductors are attractive solutions in a variety of application domains. Numerical models are powerful and necessary tools to optimize their design and predict their performance. The electromagnetic…

Superconductivity · Physics 2018-07-04 Roberto Brambilla , Francesco Grilli , Luciano Martini , Marco Bocchi , Giuliano Angeli

The increasing penetration of distributed energy resources (DERs) will decrease the rotational inertia of the power system and further degrade the system frequency stability. To address the above issues, this paper leverages the advanced…

Systems and Control · Electrical Eng. & Systems 2023-04-24 Linwei Sang , Yinliang Xu , Zhongkai Yi , Lun Yang , Huan Long , Hongbin Sun

Solar based electricity generations have experienced strong and impactful growth in recent years. The regulation, scheduling, dispatching, and unit commitment of intermittent solar power is dependent on the accuracy of the forecasting…

Systems and Control · Electrical Eng. & Systems 2020-03-30 Shaktinarayana Mishra , Lokanath Tripathy , Prachitara Satapathy , P. K. Dash , Nitasha Sahani

Extreme learning machine (ELM) as an emerging branch of shallow networks has shown its excellent generalization and fast learning speed. However, for blended data, the robustness of ELM is weak because its weights and biases of hidden nodes…

Machine Learning · Computer Science 2014-09-24 Bo Han , Bo He , Mengmeng Ma , Tingting Sun , Tianhong Yan , Amaury Lendasse

Multiple-input multiple-output orthogonal frequency-division multiplexing (MIMO-OFDM) is a key technology component in the evolution towards cognitive radio (CR) in next-generation communication in which the accuracy of timing and frequency…

Signal Processing · Electrical Eng. & Systems 2022-06-02 Jun Liu , Kai Mei , Xiaochen Zhang , Des McLernon , Dongtang Ma , Jibo Wei , Syed Ali Raza Zaidi