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This work addresses the problem of learning sparse representations of tensor data using structured dictionary learning. It proposes learning a mixture of separable dictionaries to better capture the structure of tensor data by generalizing…

机器学习 · 计算机科学 2020-06-16 Mohsen Ghassemi , Zahra Shakeri , Anand D. Sarwate , Waheed U. Bajwa

We propose a new approach for metric learning by framing it as learning a sparse combination of locally discriminative metrics that are inexpensive to generate from the training data. This flexible framework allows us to naturally derive…

机器学习 · 计算机科学 2019-01-25 Yuan Shi , Aurélien Bellet , Fei Sha

In a sparse representation based recognition scheme, it is critical to learn a desired dictionary, aiming both good representational power and discriminative performance. In this paper, we propose a new dictionary learning model for…

计算机视觉与模式识别 · 计算机科学 2016-11-29 Xinglin Piao , Yongli Hu , Yanfeng Sun , Junbin Gao , Baocai Yin

Sparse representations using overcomplete dictionaries have proved to be a powerful tool in many signal processing applications such as denoising, super-resolution, inpainting, compression or classification. The sparsity of the…

机器学习 · 统计学 2018-03-01 Jeremy Aghaei Mazaheri , Elif Vural , Claude Labit , Christine Guillemot

Over the past decade, learning a dictionary from input images for sparse modeling has been one of the topics which receive most research attention in image processing and compressed sensing. Most existing dictionary learning methods…

图像与视频处理 · 电气工程与系统科学 2021-04-27 Kai Liu , Yongjian Zhao , Hua Wang

Frames are the foundation of the linear operators used in the decomposition and reconstruction of signals, such as the discrete Fourier transform, Gabor, wavelets, and curvelet transforms. The emergence of sparse representation models has…

信号处理 · 电气工程与系统科学 2019-06-26 Wen-Liang Hwang , Ping-Tzan Huang , Tai-Lang Jong

We give some new results on sparse signal recovery in the presence of noise, for weighted spaces. Traditionally, were used dictionaries that have the norm equal to 1, but, for random dictionaries this condition is rarely satisfied.…

泛函分析 · 数学 2016-01-27 L. Gavruta , G. Zamani Eskandani , P. Gavruta

Distributional models are derived from co-occurrences in a corpus, where only a small proportion of all possible plausible co-occurrences will be observed. This results in a very sparse vector space, requiring a mechanism for inferring…

计算与语言 · 计算机科学 2016-08-25 Thomas Kober , Julie Weeds , Jeremy Reffin , David Weir

Sparse data models, where data is assumed to be well represented as a linear combination of a few elements from a dictionary, have gained considerable attention in recent years, and their use has led to state-of-the-art results in many…

信息论 · 计算机科学 2015-03-13 Ignacio Ramirez , Guillermo Sapiro

This paper addresses the problem of estimating sparse channels in massive MIMO-OFDM systems. Most wireless channels are sparse in nature with large delay spread. In addition, these channels as observed by multiple antennas in a neighborhood…

应用统计 · 统计学 2015-06-22 Mudassir Masood , Laila H. Afify , Tareq Y. Al-Naffouri

Convolutional sparse coding (CSC) has been popularly used for the learning of shift-invariant dictionaries in image and signal processing. However, existing methods have limited scalability. In this paper, instead of convolving with a…

计算机视觉与模式识别 · 计算机科学 2018-06-08 Yaqing Wang , Quanming Yao , James T. Kwok , Lionel M. Ni

Many signal processing problems--such as analysis, compression, denoising, and reconstruction--can be facilitated by expressing the signal as a linear combination of atoms from a well-chosen dictionary. In this paper, we study possible…

信息论 · 计算机科学 2016-07-26 Zhihui Zhu , Michael B. Wakin

In this work we propose a technique to remove sparse impulse noise from hyperspectral images. Our algorithm accounts for the spatial redundancy and spectral correlation of such images. The proposed method is based on the recently introduced…

图像与视频处理 · 电气工程与系统科学 2019-12-16 Angshul Majumdar , Naushad Ansari , Hemant Aggarwal , Pravesh Biyani

This paper proposes a new sparse array source enumeration algorithm for underdetermined scenarios with more sources than sensors. The proposed algorithm decomposes the wideband signals into multiple uncorrelated frequency bands, computes…

信号处理 · 电气工程与系统科学 2019-12-30 Yang Liu , John R. Buck

Over the past years, there are increasing interests in recovering the signals from undersampling data where such signals are sparse under some orthogonal dictionary or tight framework, which is referred to be sparse synthetic model. More…

信息论 · 计算机科学 2012-02-10 Lianlin Li

The probabilistic Latent Semantic Indexing model assumes that the expectation of the corpus matrix is low-rank and can be written as the product of a topic-word matrix and a word-document matrix. In this paper, we study the estimation of…

统计方法学 · 统计学 2023-10-11 Huy Tran , Yating Liu , Claire Donnat

Channel Estimation is an essential component in applications such as radar and data communication. In multi path time varying environments, it is necessary to estimate time-shifts, scale-shifts (the wideband equivalent of Doppler-shifts),…

信息论 · 计算机科学 2009-06-05 Brian Carroll

Sparse coding is a crucial subroutine in algorithms for various signal processing, deep learning, and other machine learning applications. The central goal is to learn an overcomplete dictionary that can sparsely represent a given input…

机器学习 · 统计学 2017-12-14 Thanh V. Nguyen , Raymond K. W. Wong , Chinmay Hegde

This article addresses the image denoising problem in the situations of strong noise. We propose a dual sparse decomposition method. This method makes a sub-dictionary decomposition on the over-complete dictionary in the sparse…

计算机视觉与模式识别 · 计算机科学 2017-04-25 Hong Sun , Chen-guang Liu , Cheng-wei Sang

Spectrum sensing is an essential enabling functionality for cognitive radio networks to detect spectrum holes and opportunistically use the under-utilized frequency bands without causing harmful interference to legacy networks. This paper…

信息论 · 计算机科学 2016-11-18 Zhi Quan , Shuguang Cui , Ali H. Sayed , H. Vincent Poor