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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

Automated feature extraction capability and significant performance of Deep Neural Networks (DNN) make them suitable for Internet of Things (IoT) applications. However, deploying DNN on edge devices becomes prohibitive due to the colossal…

Machine Learning · Computer Science 2022-10-03 Rahul Mishra , Hari Prabhat Gupta

Recent work has introduced a simple numerical method for solving partial differential equations (PDEs) with deep neural networks (DNNs). This paper reviews and extends the method while applying it to analyze one of the most fundamental…

Machine Learning · Computer Science 2019-05-14 Craig Michoski , Milos Milosavljevic , Todd Oliver , David Hatch

Deep neural networks (DNNs) are successful in many computer vision tasks. However, the most accurate DNNs require millions of parameters and operations, making them energy, computation and memory intensive. This impedes the deployment of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Abhinav Goel , Caleb Tung , Yung-Hsiang Lu , George K. Thiruvathukal

In this work, we propose an effective scheme (called DP-Net) for compressing the deep neural networks (DNNs). It includes a novel dynamic programming (DP) based algorithm to obtain the optimal solution of weight quantization and an…

Machine Learning · Computer Science 2020-03-24 Dingcheng Yang , Wenjian Yu , Ao Zhou , Haoyuan Mu , Gary Yao , Xiaoyi Wang

Deep neural networks (DNNs) have become the state-of-the-art technique for machine learning tasks in various applications. However, due to their size and the computational complexity, large DNNs are not readily deployable on edge devices in…

Machine Learning · Computer Science 2018-05-31 Lazar Supic , Rawan Naous , Ranko Sredojevic , Aleksandra Faust , Vladimir Stojanovic

Electrical Impedance Tomography (EIT) is a promising noninvasive imaging technique that reconstructs the spatial conductivity distribution from boundary voltage measurements. However, it poses a highly nonlinear and ill-posed inverse…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Xuanxuan Yang , Yangming Zhang , Haofeng Chen , Gang Ma , Xiaojie Wang

Recent research works for solving partial differential equations (PDEs) with deep neural networks (DNNs) have demonstrated that spatiotemporal function approximators defined by auto-differentiation are effective for approximating nonlinear…

Numerical Analysis · Mathematics 2021-09-21 Haoxiang Huang , Yingjie Liu , Vigor Yang

Deep Neural Networks (DNNs) have become increasingly popular in computer vision, natural language processing, and other areas. However, training and fine-tuning a deep learning model is computationally intensive and time-consuming. We…

Machine Learning · Computer Science 2018-07-04 Jiayi Liu , Samarth Tripathi , Unmesh Kurup , Mohak Shah

We propose extrinsic and intrinsic deep neural network architectures as general frameworks for deep learning on manifolds. Specifically, extrinsic deep neural networks (eDNNs) preserve geometric features on manifolds by utilizing an…

Machine Learning · Statistics 2023-02-20 Yihao Fang , Ilsang Ohn , Vijay Gupta , Lizhen Lin

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

Numerical Analysis · Mathematics 2020-02-26 Kailai Xu , Eric Darve

Deep Convolutional Neural Networks (DCNNs) are currently the method of choice both for generative, as well as for discriminative learning in computer vision and machine learning. The success of DCNNs can be attributed to the careful…

Deep neural networks (DNNs) used for brain-computer-interface (BCI) classification are commonly expected to learn general features when trained across a variety of contexts, such that these features could be fine-tuned to specific contexts.…

Machine Learning · Computer Science 2021-01-29 Demetres Kostas , Stephane Aroca-Ouellette , Frank Rudzicz

Extreme learning machine (ELM) is a methodology for solving partial differential equations (PDEs) using a single hidden layer feed-forward neural network. It presets the weight/bias coefficients in the hidden layer with random values, which…

Numerical Analysis · Mathematics 2025-04-30 Chang-Ock Lee , Youngkyu Lee , Byungeun Ryoo

In massive multiple-input multiple-output (MIMO) systems, the large number of antennas would bring a great challenge for the acquisition of the accurate channel state information, especially in the frequency division duplex mode. To…

Signal Processing · Electrical Eng. & Systems 2020-09-04 Yindi Yang , Shun Zhang , Feifei Gao , Chao Xu , Jianpeng Ma , Octavia A. Dobre

Deep neural networks (DNNs) have achieved great success in the area of computer vision. The disparity estimation problem tends to be addressed by DNNs which achieve much better prediction accuracy in stereo matching than traditional…

Computer Vision and Pattern Recognition · Computer Science 2020-03-25 Qiang Wang , Shaohuai Shi , Shizhen Zheng , Kaiyong Zhao , Xiaowen Chu

Neural networks have shown significant potential in solving partial differential equations (PDEs). While deep networks are capable of approximating complex functions, direct one-shot training often faces limitations in both accuracy and…

Numerical Analysis · Mathematics 2025-03-10 Mingxing Weng , Zhiping Mao , Jie Shen

Deep neural networks (DNNs) have demonstrated state-of-the-art results on many pattern recognition tasks, especially vision classification problems. Understanding the inner workings of such computational brains is both fascinating basic…

Neural and Evolutionary Computing · Computer Science 2016-11-24 Anh Nguyen , Alexey Dosovitskiy , Jason Yosinski , Thomas Brox , Jeff Clune

Determinantal Point Processes (DPPs) provide an elegant and versatile way to sample sets of items that balance the point-wise quality with the set-wise diversity of selected items. For this reason, they have gained prominence in many…

Machine Learning · Statistics 2019-01-09 Zelda Mariet , Yaniv Ovadia , Jasper Snoek

Image decomposition aims to analyze an image into elementary components, which is essential for numerous downstream tasks and also by nature provides certain interpretability to the analysis. Deep learning can be powerful for such tasks,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Sihan Wang , Shangqi Gao , Fuping Wu , Xiahai Zhuang
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