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In this paper, we combine convolutional neural networks (CNNs) with reduced order modeling (ROM) for efficient simulations of multiscale problems. These problems are modeled by partial differential equations with high-dimensional random…

Computational Engineering, Finance, and Science · Computer Science 2024-06-25 Xuhan Zhang , Lijian Jiang

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

This paper presents a nonlinear reduced-order modeling (ROM) framework that leverages deep learning and manifold learning to predict compressible flow fields with complex nonlinear features, including shock waves. The proposed DeepManifold…

Fluid Dynamics · Physics 2024-12-17 Bilal Mufti , Christian Perron , Dimitri N. Mavris

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and…

Machine Learning · Computer Science 2020-04-01 Yiquan Zhang , Bo Peng , Xiaoyi Zhou , Cheng Xiang , Dalei Wang

Statistical shape modeling is an important tool to characterize variation in anatomical morphology. Typical shapes of interest are measured using 3D imaging and a subsequent pipeline of registration, segmentation, and some extraction of…

Computer Vision and Pattern Recognition · Computer Science 2018-10-02 Riddhish Bhalodia , Shireen Y. Elhabian , Ladislav Kavan , Ross T. Whitaker

The deployment of deep convolutional neural networks (CNNs) in many real world applications is largely hindered by their high computational cost. In this paper, we propose a novel learning scheme for CNNs to simultaneously 1) reduce the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-23 Zhuang Liu , Jianguo Li , Zhiqiang Shen , Gao Huang , Shoumeng Yan , Changshui Zhang

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

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

We propose a non-intrusive Deep Learning-based Reduced Order Model (DL-ROM) capable of capturing the complex dynamics of mechanical systems showing inertia and geometric nonlinearities. In the first phase, a limited number of high fidelity…

Numerical Analysis · Mathematics 2021-11-25 Stefania Fresca , Giorgio Gobat , Patrick Fedeli , Attilio Frangi , Andrea Manzoni

Seam carving is a representative content-aware image retargeting approach to adjust the size of an image while preserving its visually prominent content. To maintain visually important content, seam-carving algorithms first calculate the…

Multimedia · Computer Science 2021-07-20 Seung-Hun Nam , Wonhyuk Ahn , In-Jae Yu , Myung-Joon Kwon , Minseok Son , Heung-Kyu Lee

Deep convolutional neural networks (CNNs) have shown excellent performance in object recognition tasks and dense classification problems such as semantic segmentation. However, training deep neural networks on large and sparse datasets is…

Computer Vision and Pattern Recognition · Computer Science 2017-12-25 Lorenz Berger , Eoin Hyde , M. Jorge Cardoso , Sebastien Ourselin

When solving a segmentation task, shaped-base methods can be beneficial compared to pixelwise classification due to geometric understanding of the target object as shape, preventing the generation of anatomical implausible predictions in…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Ron Keuth , Mattias Heinrich

This paper presents a deep learning approach for the classification of Engineering (CAD) models using Convolutional Neural Networks (CNNs). Owing to the availability of large annotated datasets and also enough computational power in the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-15 Bharadwaj Manda , Pranjal Bhaskare , Ramanathan Muthuganapathy

This paper proposes a new topology optimization method that applies a convolutional neural network (CNN), which is one deep learning technique for topology optimization problems. Using this method, we acquire a structure with a little…

Machine Learning · Computer Science 2020-01-06 Yusuke Takahashi , Yoshiro Suzuki , Akira Todoroki

To speed-up the solution to parametrized differential problems, reduced order models (ROMs) have been developed over the years, including projection-based ROMs such as the reduced-basis (RB) method, deep learning-based ROMs, as well as…

Numerical Analysis · Mathematics 2022-02-08 Ludovica Cicci , Stefania Fresca , Andrea Manzoni

Currently, increasingly deeper neural networks have been applied to improve their accuracy. In contrast, We propose a novel wider Convolutional Neural Networks (CNN) architecture, motivated by the Multi-column Deep Neural Networks and the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Xiaobo Huang

An approach to incorporate deep learning within an iterative image reconstruction framework to reconstruct images from severely incomplete measurement data is presented. Specifically, we utilize a convolutional neural network (CNN) as a…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Brendan Kelly , Thomas P. Matthews , Mark A. Anastasio

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

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser

We present an efficient deep learning approach for the challenging task of tumor segmentation in multisequence MR images. In recent years, Convolutional Neural Networks (CNN) have achieved state-of-the-art performances in a large variety of…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Pawel Mlynarski , Hervé Delingette , Antonio Criminisi , Nicholas Ayache
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