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In the present work, we introduce a novel approach to enhance the precision of reduced order models by exploiting a multi-fidelity perspective and DeepONets. Reduced models provide a real-time numerical approximation by simplifying the…

Numerical Analysis · Mathematics 2023-11-21 Nicola Demo , Marco Tezzele , Gianluigi Rozza

This paper integrates deep neural networks (DNNs) into structural economic models to increase flexibility and capture rich heterogeneity while preserving interpretability. Economic structure and machine learning are complements in empirical…

Econometrics · Economics 2025-04-28 Max H. Farrell , Tengyuan Liang , Sanjog Misra

Systems based on Deep Neural Networks (DNNs) are increasingly being used in industry. In the process of system operation, DNNs need to be updated in order to improve their performance. When updating DNNs, systems used in companies that…

Software Engineering · Computer Science 2025-03-11 Takao Nakagawa , Susumu Tokumoto , Shogo Tokui , Fuyuki Ishikawa

In this paper, we study the linear transport model by adopting the deep learning method, in particular the deep neural network (DNN) approach. While the interest of using DNN to study partial differential equations is arising, here we adapt…

Numerical Analysis · Mathematics 2021-02-19 Zheng Chen , Liu Liu , Lin Mu

Deep Neural Networks (DNNs) enable a wide series of technological advancements, ranging from clinical imaging, to predictive industrial maintenance and autonomous driving. However, recent findings indicate that transient hardware faults may…

Machine Learning · Computer Science 2022-05-31 Niccolò Cavagnero , Fernando Dos Santos , Marco Ciccone , Giuseppe Averta , Tatiana Tommasi , Paolo Rech

Deep reinforcement learning (DRL) is a promising outer-loop intelligence paradigm which can deploy problem solving strategies for complex tasks. Consequently, DRL has been utilized for several scientific applications, specifically in cases…

Machine Learning · Computer Science 2023-04-05 Sahil Bhola , Suraj Pawar , Prasanna Balaprakash , Romit Maulik

The standard way to teach models is by feeding them lots of data. However, this approach often teaches models incorrect ideas because they pick up on misleading signals in the data. To prevent such misconceptions, we must necessarily…

Machine Learning · Computer Science 2024-08-23 Yoonho Lee , Michelle S. Lam , Helena Vasconcelos , Michael S. Bernstein , Chelsea Finn

Artificial Neuronal Networks are models widely used for many scientific tasks. One of the well-known field of application is the approximation of high-dimensional problems via Deep Learning. In the present paper we investigate the Deep…

Numerical Analysis · Mathematics 2021-10-06 F. Calabrò , S. Cuomo , F. Giampaolo , S. Izzo , C. Nitsch , F. Piccialli , C. Trombetti

In recent years, deep neural networks (DNNs) have demonstrated state-of-the-art performance across various domains. However, despite their success, they often face calibration issues, particularly in safety-critical applications such as…

Machine Learning · Computer Science 2025-04-15 Jiani Ni , He Zhao , Jintong Gao , Dandan Guo , Hongyuan Zha

Rectifying the orientation of images represents a daily task for every photographer. This task may be complicated even for the human eye, especially when the horizon or other horizontal and vertical lines in the image are missing. In this…

Computer Vision and Pattern Recognition · Computer Science 2021-05-13 Ionut Mironica , Andrei Zugravu

The quality of data representation in deep learning methods is directly related to the prior model imposed on the representations; however, generally used fixed priors are not capable of adjusting to the context in the data. To address this…

Machine Learning · Computer Science 2013-03-18 Rakesh Chalasani , Jose C. Principe

Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics, and nonlinearity. The dynamic mode decomposition (DMD) has emerged as a cornerstone for modeling…

Fluid Dynamics · Physics 2022-04-27 Peter J. Baddoo , Benjamin Herrmann , Beverley J. McKeon , Steven L. Brunton

Existing variance reduction techniques used in stochastic simulations for rare event analysis still require a substantial number of model evaluations to estimate small failure probabilities. In the context of complex, nonlinear finite…

Machine Learning · Computer Science 2025-08-04 Liuyun Xu , Seymour M. J. Spence

Increased complexity and heterogeneity of emerging 5G and beyond 5G (B5G) wireless networks will require a paradigm shift from traditional resource allocation mechanisms. Deep learning (DL) is a powerful tool where a multi-layer neural…

Networking and Internet Architecture · Computer Science 2018-08-03 K. I. Ahmed , H. Tabassum , E. Hossain

Errors in data are usually unwelcome and so some means to correct them is useful. However, it is difficult to define, detect or correct errors in an unsupervised way. Here, we train a deep neural network to re-synthesize its inputs at its…

Machine Learning · Computer Science 2015-02-17 Andrew J. R. Simpson

We propose an algorithm for meta-learning that is model-agnostic, in the sense that it is compatible with any model trained with gradient descent and applicable to a variety of different learning problems, including classification,…

Machine Learning · Computer Science 2017-07-19 Chelsea Finn , Pieter Abbeel , Sergey Levine

Deep Neural Networks (DNN) have found numerous applications in various domains, including fraud detection, medical diagnosis, facial recognition, and autonomous driving. However, DNN-based systems often suffer from reliability issues due to…

Software Engineering · Computer Science 2025-01-23 Sigma Jahan , Mehil B Shah , Parvez Mahbub , Mohammad Masudur Rahman

Deep learning (DL) models have received particular attention in medical imaging due to their promising pattern recognition capabilities. However, Deep Neural Networks (DNNs) require a huge amount of data, and because of the lack of…

Image and Video Processing · Electrical Eng. & Systems 2021-07-27 Donya Khaledyan , AmirReza Tajally , Ali Sarkhosh , Afshar Shamsi , Hamzeh Asgharnezhad , Abbas Khosravi , Saeid Nahavandi

While multifidelity modeling provides a cost-effective way to conduct uncertainty quantification with computationally expensive models, much greater efficiency can be achieved by adaptively deciding the number of required high-fidelity (HF)…

Deep neural networks (DNNs) are poorly calibrated when trained in conventional ways. To improve confidence calibration of DNNs, we propose a novel training method, distance-based learning from errors (DBLE). DBLE bases its confidence…

Machine Learning · Computer Science 2020-02-19 Chen Xing , Sercan Arik , Zizhao Zhang , Tomas Pfister
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