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One of the key challenges in sensor networks is the extraction of information by fusing data from a multitude of distinct, but possibly unreliable sensors. Recovering information from the maximum number of dependable sensors while…

机器学习 · 统计学 2015-05-20 Vassilis Kekatos , Georgios B. Giannakis

We propose a novel method for compressed sensing recovery using untrained deep generative models. Our method is based on the recently proposed Deep Image Prior (DIP), wherein the convolutional weights of the network are optimized to match…

Compressed sensing (CS) is an important theory for sub-Nyquist sampling and recovery of compressible data. Recently, it has been extended by Pham and Venkatesh to cope with the case where corruption to the CS data is modeled as impulsive…

信息论 · 计算机科学 2012-12-03 Duc Son Pham , Svetha Venkatesh

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

信息论 · 计算机科学 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

The image reconstruction process in medical imaging can be treated as solving an inverse problem. The inverse problem is usually solved using time-consuming iterative algorithms with sparsity or other constraints. Recently, deep neural…

医学物理 · 物理学 2021-10-29 Jingke Zhang , Qiong He , Congzhi Wang , Hongen Liao , Jianwen Luo

It is widely believed that the success of deep convolutional networks is based on progressively discarding uninformative variability about the input with respect to the problem at hand. This is supported empirically by the difficulty of…

机器学习 · 计算机科学 2018-06-25 Jörn-Henrik Jacobsen , Arnold Smeulders , Edouard Oyallon

Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

数值分析 · 数学 2009-05-28 Deanna Needell

The success of the compressed sensing paradigm has shown that a substantial reduction in sampling and storage complexity can be achieved in certain linear and non-adaptive estimation problems. It is therefore an advisable strategy for…

信息论 · 计算机科学 2014-08-27 Peter Jung , Philipp Walk

Existing deep compressive sensing (CS) methods either ignore adaptive online optimization or depend on costly iterative optimizer during reconstruction. This work explores a novel image CS framework with recurrent-residual structural…

图像与视频处理 · 电气工程与系统科学 2022-07-18 Jun Niu

In this manuscript, we analyze the sparse signal recovery (compressive sensing) problem from the perspective of convex optimization by stochastic proximal gradient descent. This view allows us to significantly simplify the recovery analysis…

数据结构与算法 · 计算机科学 2013-04-19 Rong Jin , Tianbao Yang , Shenghuo Zhu

We extend the Deep Image Prior (DIP) framework to one-dimensional signals. DIP is using a randomly initialized convolutional neural network (CNN) to solve linear inverse problems by optimizing over weights to fit the observed measurements.…

机器学习 · 计算机科学 2019-04-19 Sriram Ravula , Alexandros G. Dimakis

We consider the problem of reconstructing time sequences of spatially sparse signals (with unknown and time-varying sparsity patterns) from a limited number of linear "incoherent" measurements, in real-time. The signals are sparse in some…

信息论 · 计算机科学 2016-11-17 Namrata Vaswani

In the past five years, deep learning methods have become state-of-the-art in solving various inverse problems. Before such approaches can find application in safety-critical fields, a verification of their reliability appears mandatory.…

机器学习 · 计算机科学 2023-01-18 Martin Genzel , Jan Macdonald , Maximilian März

The inverse problem of electrical resistivity surveys (ERSs) is difficult because of its nonlinear and ill-posed nature. For this task, traditional linear inversion methods still face challenges such as suboptimal approximation and initial…

计算机视觉与模式识别 · 计算机科学 2020-06-29 Bin Liu , Qian Guo , Shucai Li , Benchao Liu , Yuxiao Ren , Yonghao Pang , Xu Guo , Lanbo Liu , Peng Jiang

Deep neural networks have become a foundational tool for addressing imaging inverse problems. They are typically trained for a specific task, with a supervised loss to learn a mapping from the observations to the image to recover. However,…

计算机视觉与模式识别 · 计算机科学 2023-12-01 Matthieu Terris , Thomas Moreau

Deep learning has gained great popularity due to its widespread success on many inference problems. We consider the application of deep learning to the sparse linear inverse problem encountered in compressive sensing, where one seeks to…

信息论 · 计算机科学 2016-07-21 Mark Borgerding , Philip Schniter

Deep learning, e.g., convolutional neural networks (CNNs), has achieved great success in image processing and computer vision especially in high level vision applications such as recognition and understanding. However, it is rarely used to…

计算机视觉与模式识别 · 计算机科学 2017-08-03 Feng Jiang , Wen Tao , Shaohui Liu , Jie Ren , Xun Guo , Debin Zhao

Recognizing objects in natural images is an intricate problem involving multiple conflicting objectives. Deep convolutional neural networks, trained on large datasets, achieve convincing results and are currently the state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2017-10-09 Lars Hertel , Erhardt Barth , Thomas Käster , Thomas Martinetz

In this paper, a deep neural network with interpretable motion compensation called CS-MCNet is proposed to realize high-quality and real-time decoding of video compressive sensing. Firstly, explicit multi-hypothesis motion compensation is…

图像与视频处理 · 电气工程与系统科学 2020-10-09 Bowen Huang , Jinjia Zhou , Xiao Yan , Ming'e Jing , Rentao Wan , Yibo Fan

Compressive learning (CL) is an emerging framework that integrates signal acquisition via compressed sensing (CS) and machine learning for inference tasks directly on a small number of measurements. It can be a promising alternative to…

计算机视觉与模式识别 · 计算机科学 2022-07-26 Chong Mou , Jian Zhang