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This article presents a reduced-order modeling methodology via deep convolutional neural networks (CNNs) for shape optimization applications. The CNN provides a nonlinear mapping between the shapes and their associated attributes while…

Optimization and Control · Mathematics 2022-02-16 Wrik Mallik , Neil Farvolden , Jasmin Jelovica , Rajeev K. Jaiman

Convolutional Neural Network (CNN)-based filters have achieved significant performance in video artifacts reduction. However, the high complexity of existing methods makes it difficult to be applied in real usage. In this paper, a CNN-based…

Image and Video Processing · Electrical Eng. & Systems 2020-09-08 Chao Liu , Heming Sun , Jiro Katto , Xiaoyang Zeng , Yibo Fan

Reduced order modeling lowers the computational cost of solving PDEs by learning a low-order spatial representation from data and dynamically evolving these representations using manifold projections of the governing equations. While…

Fluid Dynamics · Physics 2024-07-10 Vedant Puri , Aviral Prakash , Levent Burak Kara , Yongjie Jessica Zhang

Reduced Order Modelling (ROM) has been widely used to create lower order, computationally inexpensive representations of higher-order dynamical systems. Using these representations, ROMs can efficiently model flow fields while using…

Fluid Dynamics · Physics 2021-10-13 Pranshu Pant , Ruchit Doshi , Pranav Bahl , Amir Barati Farimani

Convolutional neural networks (CNNs) have achieved state-of-the-art results on many visual recognition tasks. However, current CNN models still exhibit a poor ability to be invariant to spatial transformations of images. Intuitively, with…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Xu Shen , Xinmei Tian , Anfeng He , Shaoyan Sun , Dacheng Tao

Within the world of machine learning there exists a wide range of different methods with respective advantages and applications. This paper seeks to present and discuss one such method, namely Convolutional Neural Networks (CNNs). CNNs are…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Lars Lien Ankile , Morgan Feet Heggland , Kjartan Krange

Convolutional neural networks (CNNs) are widely used for image recognition and text analysis, and have been suggested for application on one-dimensional data as a way to reduce the need for pre-processing steps. Pre-processing is an…

Machine Learning · Computer Science 2020-05-18 Ine L. Jernelv , Dag Roar Hjelme , Yuji Matsuura , Astrid Aksnes

In recent years, deep learning has gained increasing popularity in the fields of Partial Differential Equations (PDEs) and Reduced Order Modeling (ROM), providing domain practitioners with new powerful data-driven techniques such as…

Numerical Analysis · Mathematics 2024-06-25 Nicola Rares Franco , Simone Brugiapaglia

In this paper, we propose to utilize Convolutional Neural Networks (CNNs) and the segmentation-based multi-scale analysis to locate tampered areas in digital images. First, to deal with color input sliding windows of different scales, a…

Computer Vision and Pattern Recognition · Computer Science 2018-12-26 Yaqi Liu , Qingxiao Guan , Xianfeng Zhao , Yun Cao

Time-dependent partial differential equations are ubiquitous in physics-based modeling, but they remain computationally intensive in many-query scenarios, such as real-time forecasting, optimal control, and uncertainty quantification.…

Machine Learning · Computer Science 2026-01-26 Sven Dummer , Dongwei Ye , Christoph Brune

We present a novel reduced order model (ROM) approach for parameterized time-dependent PDEs based on modern learning. The ROM is suitable for multi-query problems and is nonintrusive. It is divided into two distinct stages: A nonlinear…

Numerical Analysis · Mathematics 2020-11-24 Nikolaj T. Mücke , Sander M. Bohté , Cornelis W. Oosterlee

Convolutional Neural Networks (CNNs) achieve state-of-the-art performance in many computer vision tasks. However, this achievement is preceded by extreme manual annotation in order to perform either training from scratch or fine-tuning for…

Computer Vision and Pattern Recognition · Computer Science 2016-09-08 Filip Radenović , Giorgos Tolias , Ondřej Chum

We investigate the applicability of machine learning based reduced order model (ML-ROM) to three-dimensional complex flows. As an example, we consider a turbulent channel flow at the friction Reynolds number of $Re_\tau=110$ in a minimum…

Fluid Dynamics · Physics 2021-12-08 Taichi Nakamura , Kai Fukami , Kazuto Hasegawa , Yusuke Nabae , Koji Fukagata

For steganalysis, many studies showed that convolutional neural network has better performances than the two-part structure of traditional machine learning methods. However, there are still two problems to be resolved: cutting down signal…

Multimedia · Computer Science 2018-07-31 Ru Zhang , Feng Zhu , Jianyi Liu , Gongshen Liu

Convolutional Neural Networks (CNNs) are powerful models that achieve impressive results for image classification. In addition, pre-trained CNNs are also useful for other computer vision tasks as generic feature extractors. This paper aims…

Computer Vision and Pattern Recognition · Computer Science 2015-07-10 Ben Athiwaratkun , Keegan Kang

Reduced order modeling (ROM) is a field of techniques that approximates complex physics-based models of real-world processes by inexpensive surrogates that capture important dynamical characteristics with a smaller number of degrees of…

Machine Learning · Computer Science 2021-08-30 Rachel Cooper , Andrey A. Popov , Adrian Sandu

Convolutional neural network (CNN) based methods have achieved great successes in medical image segmentation, but their capability to learn global representations is still limited due to using small effective receptive fields of convolution…

Computer Vision and Pattern Recognition · Computer Science 2022-11-17 Pengfei Gu , Yejia Zhang , Chaoli Wang , Danny Z. Chen

Convolutional Neural Network (CNN) is a popular model in computer vision and has the advantage of making good use of the correlation information of data. However, CNN is challenging to learn efficiently if the given dimension of data or…

Quantum Physics · Physics 2020-09-22 Seunghyeok Oh , Jaeho Choi , Joongheon Kim

We present a reduced order modeling (ROM) technique for subsurface multi-phase flow problems building on the recently introduced deep residual recurrent neural network (DR-RNN) [1]. DR-RNN is a physics aware recurrent neural network for…

Computational Engineering, Finance, and Science · Computer Science 2018-10-25 J. Nagoor Kani , Ahmed H. Elsheikh

Autonomous Raman instruments on Mars rovers, deep-sea landers, and field robots must interpret raw spectra distorted by fluorescence baselines, peak shifts, and limited ground-truth labels. Using curated subsets of the RRUFF database, we…

Machine Learning · Computer Science 2025-10-01 Deniz Soysal , Xabier García-Andrade , Laura E. Rodriguez , Pablo Sobron , Laura M. Barge , Renaud Detry
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