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Neural networks (NNs) can achieved high performance in various fields such as computer vision, and natural language processing. However, deploying NNs in resource-constrained safety-critical systems has challenges due to uncertainty in the…

Machine Learning · Computer Science 2024-01-17 Soyed Tuhin Ahmed

Distributed state estimation (DSE) is considered as a more robust and reliable alternative for centralized state estimation (CSE) in power system. Especially, taking into account the future power grid, so called smart grid in which…

Systems and Control · Electrical Eng. & Systems 2021-04-12 Sajjad Asefi , Elena Gryazina , Helder Leite

In the presence of renewable resources, distribution networks have become extremely complex to monitor, operate and control. Furthermore, for the real time applications, active distribution networks require fast real time distribution state…

Applications · Statistics 2018-04-24 Mehdi Shafiei , Gerard Ledwich , Ghavameddin Nourbakhsh , Ali Arefi , Houman Pezeshki

This paper is about the state estimation of timed probabilistic discrete event systems. The main contribution is to propose general procedures for developing state estimation approaches based on artificial neural networks. It is assumed…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Omar Amri , Carla Seatzu , Alessandro Giua , Dimitri Lefebvre

Digital twins provide a powerful paradigm for diagnostic and prognostic tasks in the monitoring and control of engineered systems; however, their deployment for complex structures remains challenged by model-form uncertainty, arising from…

Machine Learning · Computer Science 2026-04-30 Marcus Haywood-Alexander , Gregory Duthé , Eleni Chatzi

Providing a metric of uncertainty alongside a state estimate is often crucial when tracking a dynamical system. Classic state estimators, such as the Kalman filter (KF), provide a time-dependent uncertainty measure from knowledge of the…

Signal Processing · Electrical Eng. & Systems 2022-02-10 Itzik Klein , Guy Revach , Nir Shlezinger , Jonas E. Mehr , Ruud J. G. van Sloun , Yonina. C. Eldar

In this paper we propose a new methodology for decision-making under uncertainty using recent advancements in the areas of nonlinear stochastic optimal control theory, applied mathematics, and machine learning. Grounded on the fundamental…

Robotics · Computer Science 2021-07-12 Marcus Pereira , Ziyi Wang , Ioannis Exarchos , Evangelos A. Theodorou

This paper investigates the state estimation problem for a class of complex networks, in which the dynamics of each node is subject to Gaussian noise, system uncertainties and nonlinearities. Based on a regularized least-squares approach,…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Peihu Duan , Qishao Wang , Zhisheng Duan , Guanrong Chen

State estimation incorporates the feedback in optimization based advanced process control systems and is very important for the performance of model predictive control. We describe the extended Kalman filter, the unscented Kalman filter,…

In a Networked Dynamical System (NDS), each node is a system whose dynamics are coupled with the dynamics of neighboring nodes. The global dynamics naturally builds on this network of couplings and it is often excited by a noise input with…

Machine Learning · Computer Science 2023-12-19 Augusto Santos , Diogo Rente , Rui Seabra , José M. F. Moura

Massive Multiple-Input Multiple-Output (massive MIMO) technology stands as a cornerstone in 5G and beyonds. Despite the remarkable advancements offered by massive MIMO technology, the extreme number of antennas introduces challenges during…

Signal Processing · Electrical Eng. & Systems 2024-10-29 Do Hai Son , Vu Tung Lam , Tran Thi Thuy Quynh

In recent years there has been a push to discover the governing equations dynamical systems directly from measurements of the state, often motivated by systems that are too complex to directly model. Although there has been substantial work…

Optimization and Control · Mathematics 2023-01-10 Jeffrey M. Hokanson , Gianluca Iaccarino , Alireza Doostan

Non-autonomous differential equations are crucial for modeling systems influenced by external signals, yet fitting these models to data becomes particularly challenging when the signals change abruptly. To address this problem, we propose a…

Machine Learning · Computer Science 2025-07-10 Hyeontae Jo , Krešimir Josić , Jae Kyoung Kim

In this paper, we present a deep neural network based adaptive learning (DNN-AL) approach for switched systems. Currently, deep neural network based methods are actively developed for learning governing equations in unknown dynamic systems,…

Machine Learning · Computer Science 2022-07-12 Junjie He , Zhihang Xu , Qifeng Liao

Entropy and mutual information in neural networks provide rich information on the learning process, but they have proven difficult to compute reliably in high dimensions. Indeed, in noisy and high-dimensional data, traditional estimates in…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Danqi Liao , Chen Liu , Benjamin W. Christensen , Alexander Tong , Guillaume Huguet , Guy Wolf , Maximilian Nickel , Ian Adelstein , Smita Krishnaswamy

Learning dynamics governed by differential equations is crucial for predicting and controlling the systems in science and engineering. Neural Ordinary Differential Equation (NODE), a deep learning model integrated with differential…

Machine Learning · Computer Science 2021-11-09 Shiqi Gong , Qi Meng , Yue Wang , Lijun Wu , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

Deriving governing equations in Electromagnetic (EM) environment based on first principles can be quite tough when there are some unknown sources of noise and other uncertainties in the system. For nonlinear multiple-physics electromagnetic…

Computational Physics · Physics 2019-10-31 Bing Xiong , Haiyang Fu , Feng Xu , Yaqiu Jin

We present a framework and algorithms to learn controlled dynamics models using neural stochastic differential equations (SDEs) -- SDEs whose drift and diffusion terms are both parametrized by neural networks. We construct the drift term to…

Machine Learning · Computer Science 2023-10-17 Franck Djeumou , Cyrus Neary , Ufuk Topcu

To model time series accurately is important within a wide range of fields. As the world is generally too complex to be modelled exactly, it is often meaningful to assess the probability of a dynamical system to be in a specific state. This…

Machine Learning · Computer Science 2023-03-16 Mari Dahl Eggen , Alise Danielle Midtfjord

We study an alternative use of machine learning. We train neural nets to provide the parameter estimate of a given (structural) econometric model, for example, discrete choice or consumer search. Training examples consist of datasets…

Econometrics · Economics 2025-02-10 Yanhao , Wei , Zhenling Jiang