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We study the use of feedforward neural networks (FNN) to develop models of nonlinear dynamical systems from data. Emphasis is placed on predictions at long times, with limited data availability. Inspired by global stability analysis, and…

Machine Learning · Statistics 2020-06-16 Shaowu Pan , Karthik Duraisamy

Recent advances in image data processing through machine learning and especially deep neural networks (DNNs) allow for new optimization and performance-enhancement schemes for radiation detectors and imaging hardware through data-endowed…

Instrumentation and Detectors · Physics 2024-02-23 S. Lin , S. Ning , H. Zhu , T. Zhou , C. L. Morris , S. Clayton , M. Cherukara , R. T. Chen , Z. Wang

Optical imaging is commonly used for both scientific and technological applications across industry and academia. In image sensing, a measurement, such as of an object's position, is performed by computational analysis of a digitized image.…

While linear systems have been useful in solving problems across different fields, the need for improved performance and efficiency has prompted them to operate in nonlinear modes. As a result, nonlinear models are now essential for the…

Machine Learning · Computer Science 2025-03-07 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

Physical neural networks typically train linear synaptic weights while treating device nonlinearities as fixed. We show the opposite - by training the synaptic nonlinearity itself, as in Kolmogorov-Arnold Network (KAN) architectures, we…

Machine-learning and neural-network approaches have gained huge attention in the context of quantum science and technology in recent years. One of the most essential tasks for the future development of quantum technologies is the…

Quantum Physics · Physics 2020-05-18 Valentin Gebhart , Martin Bohmann

Function approximation from input and output data pairs constitutes a fundamental problem in supervised learning. Deep neural networks are currently the most popular method for learning to mimic the input-output relationship of a general…

Machine Learning · Computer Science 2019-12-09 Nikos Kargas , Nicholas D. Sidiropoulos

In order to find a fast and reliable method for selecting metal poor galaxies (MPGs), especially in large surveys and huge database, an Artificial Neural Network (ANN) method is applied to a sample of star-forming galaxies from the Sloan…

Astrophysics of Galaxies · Physics 2015-06-18 F. Shi , Y-Y. Liu , X. Kong , Y. Chen

We consider the problem of identifying a dissipative linear model of an unknown nonlinear system that is known to be dissipative, from time domain input-output data. We first learn an approximate linear model of the nonlinear system using…

Systems and Control · Electrical Eng. & Systems 2019-07-31 S. Sivaranjani , Etika Agarwal , Vijay Gupta

Distillation is a unit operation with multiple input parameters and multiple output parameters. It is characterized by multiple variables, coupling between input parameters, and non-linear relationship with output parameters. Therefore, it…

Chemical Physics · Physics 2021-07-30 Chunli Li , Chunyu Wang

We introduce a new class of non-linear function-on-function regression models for functional data using neural networks. We propose a framework using a hidden layer consisting of continuous neurons, called a continuous hidden layer, for…

Methodology · Statistics 2023-10-10 Aniruddha Rajendra Rao , Matthew Reimherr

Function approximation from input and output data is one of the most investigated problems in signal processing. This problem has been tackled with various signal processing and machine learning methods. Although tensors have a rich history…

Statistics Theory · Mathematics 2023-02-16 Christina Auer , Thomas Paireder , Oliver Ploder , Oliver Lang , Mario Huemer

Machine learning methods, in particular deep learning methods such as artificial neural networks (ANNs) with many layers, have become widespread and useful tools in nuclear physics. However, these ANNs are typically treated as ``black…

Nuclear Theory · Physics 2025-08-05 S. A. Sundberg , R. J. Furnstahl

We attempt to de-mistify Artificial Neural Networks (ANNs) by considering special cases which are related to other statistical methods common in Astronomy and other fields. In particular we show how ANNs generalise Bayesian methods,…

Astrophysics · Physics 2009-10-22 Ofer Lahav

This work addresses the inverse identification of apparent elastic properties of random heterogeneous materials using machine learning based on artificial neural networks. The proposed neural network-based identification method requires the…

Machine Learning · Computer Science 2021-02-12 Florent Pled , Christophe Desceliers , Tianyu Zhang

The kernel-based method has been successfully applied in linear system identification using stable kernel designs. From a Gaussian process perspective, it automatically provides probabilistic error bounds for the identified models from the…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Mingzhou Yin , Roy S. Smith

In recent days, Artificial Neural Network (ANN) can be applied to a vast majority of fields including business, medicine, engineering, etc. The most popular areas where ANN is employed nowadays are pattern and sequence recognition, novelty…

Computer Vision and Pattern Recognition · Computer Science 2019-02-06 Md. Abu Bakr Siddique , Mohammad Mahmudur Rahman Khan , Rezoana Bente Arif , Zahidun Ashrafi

Autonomous driving technology is progressing rapidly, largely due to complex End To End systems based on deep neural networks. While these systems are effective, their complexity can make it difficult to understand their behavior, raising…

Robotics · Computer Science 2024-12-24 Iqra Aslam , Igor Anpilogov , Andreas Rausch

We analyse and compare various empirical models of wall pressure spectra beneath turbulent boundary layers and propose an alternative machine learning approach using Artificial Neural Networks (ANN). The analysis and the training of the ANN…

Fluid Dynamics · Physics 2022-03-14 J. Dominique , J. Van den Berghe , C. Schram , M. A. Mendez

We propose an approach based on neural networks and the AC power flow equations to identify single- and double-line outages in a power grid using the information from phasor measurement unit sensors (PMUs) placed on only a subset of the…

Computational Engineering, Finance, and Science · Computer Science 2018-03-28 Ching-pei Lee , Stephen J. Wright
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