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In this paper, we study the usage of Convolutional Neural Network (CNN) estimators for the task of Multiple-Input-Multiple-Output Orthogonal Frequency Division Multiplexing (MIMO-OFDM) Channel Estimation (CE). Specifically, the CNN…

Signal Processing · Electrical Eng. & Systems 2020-11-19 Ben Marinberg , Ariel Cohen , Eilam Ben-Dror , Haim Permuter

In the present study, the capabilities of a new Convolutional Neural Network (CNN) model are explored with the paramount objective of reconstructing the temperature field of wall-bounded flows based on a limited set of measurement points…

Fluid Dynamics · Physics 2022-02-02 Victor Coppo Leite , Elia Merzari , Roberto Ponciroli , Lander Ibarra

The Ensemble Kalman filter and Ensemble square root filters are data assimilation methods used to combine high dimensional nonlinear models with observed data. These methods have proved to be indispensable tools in science and engineering…

Probability · Mathematics 2015-07-31 Xin T Tong , Andrew J Majda , David Kelly

This proposed work introduces a data-assimilation-assisted approach to train neural networks, aimed at effectively reducing epistemic uncertainty in state estimates of separated flows. This method, referred to as model-consistent training,…

Fluid Dynamics · Physics 2024-08-02 Minghan Chu

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

Atmospheric and Oceanic Physics · Physics 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

This study presents an enhanced multi-fidelity Deep Operator Network (DeepONet) framework for efficient spatio-temporal flow field prediction when high-fidelity data is scarce. Key innovations include: a merge network replacing traditional…

Fluid Dynamics · Physics 2025-07-18 Sunwoong Yang , Youngkyu Lee , Namwoo Kang

Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applications. In this paper, we introduce two algorithms of…

Optimization and Control · Mathematics 2018-10-11 Wei Kang , Liang Xu

Following the traditional paradigm of convolutional neural networks (CNNs), modern CNNs manage to keep pace with more recent, for example transformer-based, models by not only increasing model depth and width but also the kernel size. This…

Computer Vision and Pattern Recognition · Computer Science 2023-06-23 Paul Gavrikov , Janis Keuper

The success of training deep Convolutional Neural Networks (CNNs) heavily depends on a significant amount of labelled data. Recent research has found that neural style transfer algorithms can apply the artistic style of one image to another…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Xu Zheng , Tejo Chalasani , Koustav Ghosal , Sebastian Lutz , Aljosa Smolic

Deep Learning (DL) and specifically CNN models have become a de facto method for a wide range of vision tasks, outperforming traditional machine learning (ML) methods. Consequently, they drew a lot of attention in the neuroimaging field in…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Benoit Dufumier , Pietro Gori , Ilaria Battaglia , Julie Victor , Antoine Grigis , Edouard Duchesnay

Despite their widespread use, purely data-driven methods often suffer from overfitting, lack of physical consistency, and high data dependency, particularly when physical constraints are not incorporated. This study introduces a novel data…

Fluid Dynamics · Physics 2025-07-28 M. Quattromini , M. A. Bucci , S. Cherubini , O. Semeraro

Filter pruning is widely adopted to compress and accelerate the Convolutional Neural Networks (CNNs), but most previous works ignore the relationship between filters and channels in different layers. Processing each layer independently…

Computer Vision and Pattern Recognition · Computer Science 2023-04-27 Xiaorui Wang , Jun Wang , Xin Tang , Peng Gao , Rui Fang , Guotong Xie

One hidden yet important issue for developing neural network potentials (NNPs) is the choice of training algorithm. Here we compare the performance of two popular training algorithms, the adaptive moment estimation algorithm (Adam) and the…

Chemical Physics · Physics 2021-12-15 Yunqi Shao , Florian M. Dietrich , Carl Nettelblad , Chao Zhang

Practical data assimilation algorithms often contain hyper-parameters, which may arise due to, for instance, the use of certain auxiliary techniques like covariance inflation and localization in an ensemble Kalman filter, the…

Computation · Statistics 2022-06-08 Xiaodong Luo , Chuan-An Xia

Many convolutional neural networks (CNNs) rely on progressive downsampling of their feature maps to increase the network's receptive field and decrease computational cost. However, this comes at the price of losing granularity in the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Robin Hesse , Simone Schaub-Meyer , Stefan Roth

Ensemble methods such as the Ensemble Kalman Filter (EnKF) are widely used for data assimilation in large-scale geophysical applications, as for example in numerical weather prediction (NWP). There is a growing interest for physical models…

Applications · Statistics 2018-08-01 Sylvain Robert , Hans R. Künsch

This paper proposes a novel vehicle sideslip angle estimator, which uses the physical knowledge from an Unscented Kalman Filter (UKF) based on a non-linear single-track vehicle model to enhance the estimation accuracy of a Convolutional…

Systems and Control · Electrical Eng. & Systems 2023-03-10 Alberto Bertipaglia , Mohsen Alirezaei , Riender Happee , Barys Shyrokau

In this paper we introduce an ensemble method for convolutional neural network (CNN), called "virtual branching," which can be implemented with nearly no additional parameters and computation on top of standard CNNs. We propose our method…

Computer Vision and Pattern Recognition · Computer Science 2018-03-16 Albert Gong , Qiang Qiu , Guillermo Sapiro

Ensemble Kalman methods were initially developed to solve nonlinear data assimilation problems in oceanography, but are now popular in applications far beyond their original use cases. Of particular interest is climate model calibration. As…

Data Analysis, Statistics and Probability · Physics 2025-11-21 Rebecca Gjini , Matthias Morzfeld , Oliver R. A. Dunbar , Tapio Schneider

Convolutional Neural Networks are extensively used in a wide range of applications, commonly including computer vision tasks like image and video classification, recognition, and segmentation. Recent research results demonstrate that…

Signal Processing · Electrical Eng. & Systems 2020-05-11 Marco Carreras , Gianfranco Deriu , Luigi Raffo , Luca Benini , Paolo Meloni