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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

We describe the class of convexified convolutional neural networks (CCNNs), which capture the parameter sharing of convolutional neural networks in a convex manner. By representing the nonlinear convolutional filters as vectors in a…

Machine Learning · Computer Science 2016-09-06 Yuchen Zhang , Percy Liang , Martin J. Wainwright

With the rise of deep learning technology in practical applications, Convolutional Neural Networks (CNNs) have been able to assist humans in solving many real-world problems. To enhance the performance of CNNs, numerous network…

Machine Learning · Computer Science 2024-09-10 Qi Wang , Zijun Gao , Mingxiu Sui , Taiyuan Mei , Xiaohan Cheng , Iris Li

Many applications in computational physics involve approximating problems with microstructure, characterized by multiple spatial scales in their data. However, these numerical solutions are often computationally expensive due to the need to…

Numerical Analysis · Mathematics 2023-09-15 Piermario Vitullo , Alessio Colombo , Nicola Rares Franco , Andrea Manzoni , Paolo Zunino

Convolutional neural networks (CNNs) are being applied to an increasing number of problems and fields due to their superior performance in classification and regression tasks. Since two of the key operations that CNNs implement are…

Machine Learning · Computer Science 2018-02-27 Fernando Gama , Geert Leus , Antonio G. Marques , Alejandro Ribeiro

Minimizers and convolutional neural networks (CNNs) are two quite distinct popular techniques that have both been employed to analyze categorical biological sequences. At face value, the methods seem entirely dissimilar. Minimizers use…

Machine Learning · Computer Science 2024-01-29 Yun William Yu

It is well known that Convolutional Neural Networks (CNNs) have significant redundancy in their filter weights. Various methods have been proposed in the literature to compress trained CNNs. These include techniques like pruning weights,…

Machine Learning · Computer Science 2019-06-12 Muhammad Tayyab , Abhijit Mahalanobis

Discriminative learning based on convolutional neural networks (CNNs) aims to perform image restoration by learning from training examples of noisy-clean image pairs. It has become the go-to methodology for tackling image restoration and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Junaid Malik , Serkan Kiranyaz , Moncef Gabbouj

A non-intrusive reduced order model based on convolutional autoencoders (NIROM-CAEs) is proposed as a data-driven tool to build an efficient nonlinear reduced-order model for stochastic spatio-temporal large-scale physical problems. The…

Fluid Dynamics · Physics 2022-08-08 Azzedine Abdedou , Azzeddine Soulaïmani

Despite recent advances in multi-scale deep representations, their limitations are attributed to expensive parameters and weak fusion modules. Hence, we propose an efficient approach to fuse multi-scale deep representations, called…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Yu Liu , Yanming Guo , Michael S. Lew

Convolutional neural networks (CNNs) based solutions have achieved state-of-the-art performances for many computer vision tasks, including classification and super-resolution of images. Usually the success of these methods comes with a cost…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Yawei Li , Shuhang Gu , Luc Van Gool , Radu Timofte

Non-orthogonal multiple access (NOMA) and beamforming are well-established techniques for enabling massive connectivity in future wireless networks. However, many optimal beamforming solutions rely on highly complex iterative algorithms and…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Chentong Li , Saeed Mohammadzadeh , Kanapathippillai Cumanan , Octavia A. Dobre

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

Algorithmic image-based diagnosis and prognosis of neurodegenerative diseases on longitudinal data has drawn great interest from computer vision researchers. The current state-of-the-art models for many image classification tasks are based…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Jie Zhang , Qingyang Li , Richard J. Caselli , Jieping Ye , Yalin Wang

In this work, a new hybrid predictive Reduced Order Model (ROM) is proposed to solve reacting flow problems. This algorithm is based on a dimensionality reduction using Proper Orthogonal Decomposition (POD) combined with deep learning…

Machine Learning · Computer Science 2023-01-25 Adrián Corrochano , Rodolfo S. M. Freitas , Alessandro Parente , Soledad Le Clainche

Existing image recognition techniques based on convolutional neural networks (CNNs) basically assume that the training and test datasets are sampled from i.i.d distributions. However, this assumption is easily broken in the real world…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Kazuki Adachi , Shin'ya Yamaguchi

Convolutional neural networks (CNNs) have been employed along with Variational Monte Carlo methods for finding the ground state of quantum many-body spin systems with great success. In order to do so, however, a CNN with only linearly many…

Quantum Physics · Physics 2022-10-04 Yilong Ju , Shah Saad Alam , Jonathan Minoff , Fabio Anselmi , Han Pu , Ankit Patel

Convolutional neural networks (CNNs) have a large number of variables and hence suffer from a complexity problem for their implementation. Different methods and techniques have developed to alleviate the problem of CNN's complexity, such as…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Kamran Chitsaz , Mohsen Hajabdollahi , Nader Karimi , Shadrokh Samavi , Shahram Shirani

Convolutional Neural Network(CNN) has been widely used for image recognition with great success. However, there are a number of limitations of the current CNN based image recognition paradigm. First, the receptive field of CNN is generally…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Dong-Qing Zhang

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