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A neural network is trained using simulation data from a Runge Kutta discontinuous Galerkin (RKDG) method and a modal high order limiter. With this methodology, we design one and two-dimensional black-box shock detection functions.…

Numerical Analysis · Mathematics 2019-12-20 Maria Han Veiga , Rémi Abgrall

We propose a new method to create compact convolutional neural networks (CNNs) by exploiting sparse convolutions. Different from previous works that learn sparsity in models, we directly employ hand-crafted kernels with regular sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-09-12 Chun-Fu Chen , Quanfu Fan , Marco Pistoia , Gwo Giun Lee

The application of machine learning techniques in the setting of road networks holds the potential to facilitate many important intelligent transportation applications. Graph Convolutional Networks (GCNs) are neural networks that are…

Machine Learning · Computer Science 2020-09-16 Tobias Skovgaard Jepsen , Christian S. Jensen , Thomas Dyhre Nielsen

We propose a non-stationary iterated network Tikhonov (iNETT) method for the solution of ill-posed inverse problems. The iNETT employs deep neural networks to build a data-driven regularizer, and it avoids the difficult task of estimating…

Numerical Analysis · Mathematics 2023-04-05 Davide Bianchi , Guanghao Lai , Wenbin Li

Over recent years, increasingly complex approaches based on sophisticated convolutional neural network architectures have been slowly pushing performance on well-established benchmark datasets. In this paper, we take a step back to examine…

Image and Video Processing · Electrical Eng. & Systems 2021-12-22 Tariq M Khan , Antonio Robles-Kelly , Syed S. Naqvi

In a previous work we have detailed the requirements to obtain a maximal performance benefit by implementing fully connected deep neural networks (DNN) in form of arrays of resistive devices for deep learning. This concept of Resistive…

Machine Learning · Computer Science 2017-05-24 Tayfun Gokmen , O. Murat Onen , Wilfried Haensch

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

Neural and Evolutionary Computing · Computer Science 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

Implicit Neural Representations (INRs) have emerged and shown their benefits over discrete representations in recent years. However, fitting an INR to the given observations usually requires optimization with gradient descent from scratch,…

Machine Learning · Computer Science 2022-08-08 Yinbo Chen , Xiaolong Wang

Graph Convolutional Networks (GCNs) are powerful models for node representation learning tasks. However, the node representation in existing GCN models is usually generated by performing recursive neighborhood aggregation across multiple…

Machine Learning · Computer Science 2021-05-11 Hao Chen , Zengde Deng , Yue Xu , Zhoujun Li

Neural networks (NNs) struggle to efficiently solve certain problems, such as learning parities, even when there are simple learning algorithms for those problems. Can NNs discover learning algorithms on their own? We exhibit a NN…

Machine Learning · Computer Science 2023-01-18 Surbhi Goel , Sham Kakade , Adam Tauman Kalai , Cyril Zhang

Exact numerical simulations of dynamics of open quantum systems often require immense computational resources. We demonstrate that a deep artificial neural network comprised of convolutional layers is a powerful tool for predicting…

Computational Physics · Physics 2020-12-22 Luis E. Herrera Rodriguez , Alexei A. Kananenka

Complex numbers have long been favoured for digital signal processing, yet complex representations rarely appear in deep learning architectures. RNNs, widely used to process time series and sequence information, could greatly benefit from…

Machine Learning · Computer Science 2018-10-30 Moritz Wolter , Angela Yao

This paper proposes ReBNet, an end-to-end framework for training reconfigurable binary neural networks on software and developing efficient accelerators for execution on FPGA. Binary neural networks offer an intriguing opportunity for…

Machine Learning · Computer Science 2018-03-29 Mohammad Ghasemzadeh , Mohammad Samragh , Farinaz Koushanfar

We describe a class of systems theory based neural networks called "Network Of Recurrent neural networks" (NOR), which introduces a new structure level to RNN related models. In NOR, RNNs are viewed as the high-level neurons and are used to…

Neural and Evolutionary Computing · Computer Science 2017-10-11 Chao-Ming Wang

Building large models with parameter sharing accounts for most of the success of deep convolutional neural networks (CNNs). In this paper, we propose doubly convolutional neural networks (DCNNs), which significantly improve the performance…

Machine Learning · Computer Science 2016-11-01 Shuangfei Zhai , Yu Cheng , Weining Lu , Zhongfei Zhang

This paper builds upon our previous work on the Reconciled Polynomial Network (RPN). The original RPN model was designed under the assumption of input data independence, presuming the independence among both individual instances within data…

Machine Learning · Computer Science 2024-11-19 Jiawei Zhang

Accelerating the data acquisition of dynamic magnetic resonance imaging (MRI) leads to a challenging ill-posed inverse problem, which has received great interest from both the signal processing and machine learning community over the last…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Chen Qin , Jo Schlemper , Jose Caballero , Anthony Price , Joseph V. Hajnal , Daniel Rueckert

Incorporating a priori physics knowledge into machine learning leads to more robust and interpretable algorithms. In this work, we combine deep learning techniques and classic numerical methods for differential equations to address two…

Machine Learning · Computer Science 2026-05-04 Caitlin Ho , Andrea Arnold

Convolutional neural networks (CNNs) have been used in many machine learning fields. In practical applications, the computational cost of convolutional neural networks is often high with the deepening of the network and the growth of data…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Shiqing Fan , Liu Liying , Ye Luo

Deep convolutional neural networks (CNNs) are often of sophisticated design with numerous learnable parameters for the accuracy reason. To alleviate the expensive costs of deploying them on mobile devices, recent works have made huge…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Mingjian Zhu , Kai Han , Enhua Wu , Qiulin Zhang , Ying Nie , Zhenzhong Lan , Yunhe Wang
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