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Deep neural networks are an attractive alternative for simulating complex dynamical systems, as in comparison to traditional scientific computing methods, they offer reduced computational costs during inference and can be trained directly…

Machine Learning · Computer Science 2024-05-01 Katarzyna Michałowska , Somdatta Goswami , George Em Karniadakis , Signe Riemer-Sørensen

Deep learning has been widely adopted in automatic emotion recognition and has lead to significant progress in the field. However, due to insufficient annotated emotion datasets, pre-trained models are limited in their generalization…

Computer Vision and Pattern Recognition · Computer Science 2020-06-25 Dung Nguyen , Sridha Sridharan , Duc Thanh Nguyen , Simon Denman , David Dean , Clinton Fookes

The uprising trend of deep learning in computer vision and artificial intelligence can simply not be ignored. On the most diverse tasks, from recognition and detection to segmentation, deep learning is able to obtain state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2020-07-10 Steven Puttemans , Timothy Callemein , Toon Goedemé

In this paper we propose a new model-based unsupervised learning method, called VarNet, for the solution of partial differential equations (PDEs) using deep neural networks (NNs). Particularly, we propose a novel loss function that relies…

Machine Learning · Computer Science 2019-12-17 Reza Khodayi-Mehr , Michael M. Zavlanos

An important application of neural networks to scientific computing has been the learning of non-linear operators. In this framework, a neural network is trained to fit a non-linear map between two infinite dimensional spaces, for example,…

Machine Learning · Computer Science 2026-02-03 Shao-Ting Chiu , Aditya Nambiar , Ali Syed , Jonathan W. Siegel , Ulisses Braga-Neto

Reinforcement learning is a learning paradigm for solving sequential decision-making problems. Recent years have witnessed remarkable progress in reinforcement learning upon the fast development of deep neural networks. Along with the…

Machine Learning · Computer Science 2023-07-06 Zhuangdi Zhu , Kaixiang Lin , Anil K. Jain , Jiayu Zhou

Deep learning for distribution grid optimization can be advocated as a promising solution for near-optimal yet timely inverter dispatch. The principle is to train a deep neural network (DNN) to predict the solutions of an optimal power flow…

Optimization and Control · Mathematics 2020-07-09 Manish K. Singh , Sarthak Gupta , Vassilis Kekatos , Guido Cavraro , Andrey Bernstein

The evolution of dynamical systems is generically governed by nonlinear partial differential equations (PDEs), whose solution, in a simulation framework, requires vast amounts of computational resources. In this work, we present a novel…

Machine Learning · Computer Science 2023-09-01 Michael Rotman , Amit Dekel , Ran Ilan Ber , Lior Wolf , Yaron Oz

Deep learning has revolutionized modern data science. However, how to accurately quantify the uncertainty of predictions from large-scale deep neural networks (DNNs) remains an unresolved issue. To address this issue, we introduce a novel…

Machine Learning · Statistics 2025-08-05 Yan Sun , Faming Liang

Maxwell's equations, a system of linear partial differential equations (PDEs), describe the behavior of electric and magnetic fields in time and space and are essential for many important electromagnetic applications. Although numerical…

Computational Physics · Physics 2026-01-19 Qile Jiang , Marc Salvadori , Dale Ota , Vijaya Shankar , Khemraj Shukla

Solving differential equations efficiently and accurately sits at the heart of progress in many areas of scientific research, from classical dynamical systems to quantum mechanics. There is a surge of interest in using Physics-Informed…

Machine Learning · Computer Science 2022-07-06 Shaan Desai , Marios Mattheakis , Hayden Joy , Pavlos Protopapas , Stephen Roberts

Neural networks (NN) have been recently applied together with evolutionary algorithms (EAs) to solve dynamic optimization problems. The applied NN estimates the position of the next optimum based on the previous time best solutions. After…

Neural and Evolutionary Computing · Computer Science 2020-02-03 Maryam Hasani-Shoreh , Renato Hermoza Aragonés , Frank Neumann

Transfer learning has become the de facto standard in computer vision and natural language processing, especially where labeled data is scarce. Accuracy can be significantly improved by using pre-trained models and subsequent fine-tuning.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 T. S. Jayram , Vincent Marois , Tomasz Kornuta , Vincent Albouy , Emre Sevgen , Ahmet S. Ozcan

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

We propose a novel approach to data-driven modeling of a transient production of oil wells. We apply the transformer-based neural networks trained on the multivariate time series composed of various parameters of oil wells measured during…

Machine Learning · Computer Science 2021-10-13 Ildar Abdrakhmanov , Evgenii Kanin , Sergei Boronin , Evgeny Burnaev , Andrei Osiptsov

NeuroEvolution (NE) methods are known for applying Evolutionary Computation to the optimisation of Artificial Neural Networks(ANNs). Despite aiding non-expert users to design and train ANNs, the vast majority of NE approaches disregard the…

Neural and Evolutionary Computing · Computer Science 2020-04-02 Filipe Assunção , Nuno Lourenço , Bernardete Ribeiro , Penousal Machado

Learning operators from data is central to scientific machine learning. While DeepONets are widely used for their ability to handle complex domains, they require fixed sensor numbers and locations, lack mechanisms for uncertainty…

Machine Learning · Computer Science 2026-05-12 Lei Ma , Ling Guo , Hao Wu , Tao Zhou

Artificial neural networks learn how to solve new problems through a computationally intense and time consuming process. One way to reduce the amount of time required is to inject preexisting knowledge into the network. To make use of past…

Neural and Evolutionary Computing · Computer Science 2015-09-10 Cosmin Stamate , George D. Magoulas , Michael S. C. Thomas

Deep neural networks (DNNs) have recently emerged as effective tools for approximating solution operators of partial differential equations (PDEs) including evolutionary problems. Classical numerical solvers for such PDEs often face…

Numerical Analysis · Mathematics 2025-09-05 Ke Chen , Meenakshi Krishnan , Haizhao Yang

Most uses of machine learning today involve training a model from scratch for a particular task, or sometimes starting with a model pretrained on a related task and then fine-tuning on a downstream task. Both approaches offer limited…

Machine Learning · Computer Science 2022-05-26 Andrea Gesmundo , Jeff Dean