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This work proposes a machine-learning framework for modeling the error incurred by approximate solutions to parameterized dynamical systems. In particular, we extend the machine-learning error models (MLEM) framework proposed in Ref. 15 to…

Numerical Analysis · Mathematics 2020-04-22 Eric J. Parish , Kevin T. Carlberg

In this work, two machine learning (ML)-based structures for joint detection-channel estimation in OFDM systems are proposed and extensively characterized. Both ML architectures, namely Deep Neural Network (DNN) and Extreme Learning Machine…

Information Theory · Computer Science 2023-04-25 Wilson de Souza Junior , Taufik Abrao

We propose an efficient online approximate Bayesian inference algorithm for estimating the parameters of a nonlinear function from a potentially non-stationary data stream. The method is based on the extended Kalman filter (EKF), but uses a…

Machine Learning · Statistics 2023-06-29 Peter G. Chang , Gerardo Durán-Martín , Alexander Y Shestopaloff , Matt Jones , Kevin Murphy

In this study, we use a wavelet neural network with a feedforward component and a model predictive controller for online nonlinear system identification over a communication network. The wavelet neural network (WNN) performs the online…

Signal Processing · Electrical Eng. & Systems 2018-05-15 H. Khodabandehlou , M. Sami Fadali

A common pipeline in learning-based control is to iteratively estimate a model of system dynamics, and apply a trajectory optimization algorithm - e.g.~$\mathtt{iLQR}$ - on the learned model to minimize a target cost. This paper conducts a…

Machine Learning · Computer Science 2023-05-17 Daniel Pfrommer , Max Simchowitz , Tyler Westenbroek , Nikolai Matni , Stephen Tu

The Manta Ray Foraging Optimization algorithm (MRFO) has proven to be a powerful heuristic strategy in the optimal solution of a large number of engineering problems. In this paper, an improvement of MRFO with Levy Flight is suggested for…

Neural and Evolutionary Computing · Computer Science 2026-05-19 Adrian Rubio-Solis

The exponential growth of volume, variety and velocity of data is raising the need for investigations of automated or semi-automated ways to extract useful patterns from the data. It requires deep expert knowledge and extensive…

Machine Learning · Computer Science 2020-07-22 Abbas Raza Ali , Marcin Budka , Bogdan Gabrys

Artificial neural networks are trained by a standard backpropagation learning algorithm with regularization to model and predict the systematics of -decay of heavy and superheavy nuclei. This approach to regression is implemented in two…

Nuclear Theory · Physics 2019-10-29 Paulo S. A. Freitas , John W. Clark

The inverse Stefan problem, as a typical phase-change problem with moving boundaries, finds extensive applications in science and engineering. Recent years have seen the applications of physics-informed neural networks (PINNs) to solving…

Machine Learning · Computer Science 2025-10-27 Pei-Zhi Zhuang , Ming-Yue Yang , Fei Ren , Hong-Ya Yue , He Yang

The goal of nonparametric regression is to recover an underlying regression function from noisy observations, under the assumption that the regression function belongs to a pre-specified infinite dimensional function space. In the online…

Methodology · Statistics 2021-04-05 Tianyu Zhang , Noah Simon

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

Methodology · Statistics 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

We propose a novel online learning paradigm for nonlinear-function estimation tasks based on the iterative projections in the L2 space with probability measure reflecting the stochastic property of input signals. The proposed learning…

Signal Processing · Electrical Eng. & Systems 2018-09-13 Motoya Ohnishi , Masahiro Yukawa

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

Mixed linear regression (MLR) is a powerful model for characterizing nonlinear relationships by utilizing a mixture of linear regression sub-models. The identification of MLR is a fundamental problem, where most of the existing results…

Machine Learning · Statistics 2023-12-01 Yujing Liu , Zhixin Liu , Lei Guo

For complex nonlinear systems, it is challenging to design algorithms that are fast, scalable, and give an accurate approximation of the stability region. This paper proposes a sampling-based approach to address these challenges. By…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Péter Antal , Tamás Péni , Roland Tóth

This paper explores the potential of extreme learning machine based supervised classification algorithm for land cover classification. In comparison to a backpropagation neural network, which requires setting of several user-defined…

Neural and Evolutionary Computing · Computer Science 2019-07-02 Mahesh Pal

Calculating hydrocarbon components solubility of natural gases is known as one of the important issues for operational works in petroleum and chemical engineering. In this work, a novel solubility estimation tool has been proposed for…

Machine Learning · Computer Science 2020-09-10 Narjes Nabipour , Amir Mosavi , Alireza Baghban , Shahaboddin Shamshirband , Imre Felde

We introduce EVIL (\textbf{EV}olving \textbf{I}nterpretable algorithms with \textbf{L}LMs), an approach that uses LLM-guided evolutionary search to discover simple, interpretable algorithms for dynamical systems inference. Rather than…

Machine Learning · Computer Science 2026-04-20 David Berghaus

We are delighted to see the recent development of physics-informed extreme learning machine (PIELM) for its higher computational efficiency and accuracy compared to other physics-informed machine learning (PIML) paradigms. Since a…

Machine Learning · Computer Science 2025-11-04 He Yang , Fei Ren , Francesco Calabro , Hai-Sui Yu , Xiaohui Chen , Pei-Zhi Zhuang

In this article, we discuss some of the recent developments in applying machine learning (ML) techniques to nonlinear dynamical systems. In particular, we demonstrate how to build a suitable ML framework for addressing two specific…

Adaptation and Self-Organizing Systems · Physics 2020-11-30 Sayan Roy , Debanjan Rana