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Dictionary learning for sparse representations has been successful in many reconstruction tasks. Simplicial learning is an adaptation of dictionary learning, where subspaces become clipped and acquire arbitrary offsets, taking the form of…

机器学习 · 计算机科学 2020-05-19 Yigit Oktar , Mehmet Turkan

There are two main approaches in compressed sensing: the geometric approach and the combinatorial approach. In this paper we introduce an information theoretic approach and use results from the theory of Huffman codes to construct a…

信息论 · 计算机科学 2009-06-26 Akram Aldroubi , Haichao Wang , Kourosh Zarringhalam

When dealing with clinical text classification on a small dataset recent studies have confirmed that a well-tuned multilayer perceptron outperforms other generative classifiers, including deep learning ones. To increase the performance of…

机器学习 · 计算机科学 2022-09-27 Thanh-Dung Le , Rita Noumeir , Jerome Rambaud , Guillaume Sans , Philippe Jouvet

A new framework of compressive sensing (CS), namely statistical compressive sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution and achieving accurate reconstruction on average, is…

计算机视觉与模式识别 · 计算机科学 2010-10-22 Guoshen Yu , Guillermo Sapiro

This paper introduces a deep learning enabled generative sensing framework which integrates low-end sensors with computational intelligence to attain a high recognition accuracy on par with that attained with high-end sensors. The proposed…

计算机视觉与模式识别 · 计算机科学 2018-01-10 Lina Karam , Tejas Borkar , Yu Cao , Junseok Chae

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

机器学习 · 计算机科学 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. However, conventional model-driven CS frameworks suffer from limited compression ratio and reconstruction…

机器学习 · 计算机科学 2016-12-19 Kai Xu , Yixing Li , Fengbo Ren

This paper deals with the design of a sensing matrix along with a sparse recovery algorithm by utilizing the probability-based prior information for compressed sensing system. With the knowledge of the probability for each atom of the…

机器学习 · 计算机科学 2019-10-29 Q. Jiang , S. Li , Z. Zhu , H. Bai , X. He , R. C. de Lamare

Supervised deep learning requires a large amount of training samples with annotations (e.g. label class for classification task, pixel- or voxel-wised label map for segmentation tasks), which are expensive and time-consuming to obtain.…

计算机视觉与模式识别 · 计算机科学 2020-04-14 Yuanhan Mo , Shuo Wang , Chengliang Dai , Rui Zhou , Zhongzhao Teng , Wenjia Bai , Yike Guo

In compressed sensing, we wish to reconstruct a sparse signal $x$ from observed data $y$. In sparse coding, on the other hand, we wish to find a representation of an observed signal $y$ as a sparse linear combination, with coefficients $x$,…

计算机视觉与模式识别 · 计算机科学 2013-11-25 Will Landecker , Rick Chartrand , Simon DeDeo

Reducing acquisition time is a crucial challenge for many imaging techniques. Compressed Sensing (CS) theory offers an appealing framework to address this issue since it provides theoretical guarantees on the reconstruction of sparse…

应用统计 · 统计学 2014-07-17 Nicolas Chauffert , Philippe Ciuciu , Jonas Kahn , Pierre Weiss

An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the signal, but also on its structure. This paper is about understanding this phenomenon,…

泛函分析 · 数学 2014-03-28 Ben Adcock , Anders C. Hansen , Bogdan Roman

Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this correspondence, a $K \times N$ measurement matrix for compressed sensing is deterministically constructed via additive…

信息论 · 计算机科学 2010-10-04 Nam Yul Yu

Accelerated MRI protocols routinely involve a predefined sampling pattern that undersamples the k-space. Finding an optimal pattern can enhance the reconstruction quality, however this optimization is a challenging task. To address this…

图像与视频处理 · 电气工程与系统科学 2024-08-30 Cagan Alkan , Morteza Mardani , Congyu Liao , Zhitao Li , Shreyas S. Vasanawala , John M. Pauly

A novel framework of compressed sensing, namely statistical compressed sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution, and achieving accurate reconstruction on average, is…

计算机视觉与模式识别 · 计算机科学 2015-05-27 Guoshen Yu , Guillermo Sapiro

We develop a Bayesian framework for sensing which adapts the sensing time and/or basis functions to the instantaneous sensing quality measured in terms of the expected posterior mean-squared error. For sparse Gaussian sources a significant…

信息论 · 计算机科学 2018-02-12 Ralf R. Müller , Ali Bereyhi , Christoph F. Mecklenbräuker

Linear encoding of sparse vectors is widely popular, but is commonly data-independent -- missing any possible extra (but a priori unknown) structure beyond sparsity. In this paper we present a new method to learn linear encoders that adapt…

In the first part of the series papers, we set out to answer the following question: given specific restrictions on a set of samplers, what kind of signal can be uniquely represented by the corresponding samples attained, as the foundation…

信息论 · 计算机科学 2021-08-25 Hanshen Xiao , Yaowen Zhang , Guoqiang Xiao

Image recovery from compressive measurements requires a signal prior for the images being reconstructed. Recent work has explored the use of deep generative models with low latent dimension as signal priors for such problems. However, their…

计算机视觉与模式识别 · 计算机科学 2021-03-02 Niklas Smedemark-Margulies , Jung Yeon Park , Max Daniels , Rose Yu , Jan-Willem van de Meent , Paul Hand

Deep networks can be trained to map images into a low-dimensional latent space. In many cases, different images in a collection are articulated versions of one another; for example, same object with different lighting, background, or pose.…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Rakib Hyder , M. Salman Asif