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Recent years, analysis dictionary learning (ADL) and its applications for classification have been well developed, due to its flexible projective ability and low classification complexity. With the learned analysis dictionary, test samples…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Kun Jiang , Zhaoli Liu , Zheng Liu , Qindong Sun

In sparse signal representation, the choice of a dictionary often involves a tradeoff between two desirable properties -- the ability to adapt to specific signal data and a fast implementation of the dictionary. To sparsely represent…

Machine Learning · Computer Science 2015-06-18 Dorina Thanou , David I Shuman , Pascal Frossard

Sparse signal recovery problems from noisy linear measurements appear in many areas of wireless communications. In recent years, deep learning (DL) based approaches have attracted interests of researchers to solve the sparse linear inverse…

Signal Processing · Electrical Eng. & Systems 2021-01-28 Wei Chen , Bowen Zhang , Shi Jin , Bo Ai , Zhangdui Zhong

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…

Machine Learning · Statistics 2018-03-01 Jeremy Aghaei Mazaheri , Elif Vural , Claude Labit , Christine Guillemot

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical…

Machine Learning · Statistics 2012-10-03 Rodolphe Jenatton , Rémi Gribonval , Francis Bach

Dictionary learning is a popular approach for inferring a hidden basis or dictionary in which data has a sparse representation. Data generated from the dictionary A (an n by m matrix, with m > n in the over-complete setting) is given by Y =…

Machine Learning · Computer Science 2018-05-09 Pranjal Awasthi , Aravindan Vijayaraghavan

In this paper, we propose a new joint dictionary learning method for example-based image super-resolution (SR), using sparse representation. The low-resolution (LR) dictionary is trained from a set of LR sample image patches. Using the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-13 Mojtaba Sahraee-Ardakan , Mohsen Joneidi

Sparse coding in learned dictionaries has been established as a successful approach for signal denoising, source separation and solving inverse problems in general. A dictionary learning method adapts an initial dictionary to a particular…

Machine Learning · Statistics 2012-10-18 Christian D. Sigg , Tomas Dikk , Joachim M. Buhmann

Sparse dictionary learning is a popular method for representing signals as linear combinations of a few elements from a dictionary that is learned from the data. In the classical setting, signals are represented as vectors and the…

Optimization and Control · Mathematics 2019-09-20 Evan Schwab , Benjamin D. Haeffele , René Vidal , Nicolas Charon

We propose a novel sparse representation for heavily underdetermined multichannel sound mixtures, i.e., with much more sources than microphones. The proposed approach operates in the complex Fourier domain, thus preserving spatial…

Sound · Computer Science 2014-10-10 Antoine Deleforge , Walter Kellermann

Sparse coding or sparse dictionary learning has been widely used to recover underlying structure in many kinds of natural data. Here, we provide conditions guaranteeing when this recovery is universal; that is, when sparse codes and…

Neurons and Cognition · Quantitative Biology 2016-11-18 Christopher J. Hillar , Friedrich T. Sommer

In the past few years, deep learning (DL) techniques have been introduced for designing sparse arrays. These methods offer the advantages of feature engineering and low prediction-stage complexity, which is helpful in tackling the…

Signal Processing · Electrical Eng. & Systems 2023-08-10 Kumar Vijay Mishra , Ahmet M. Elbir , Koichi Ichige

Sparse coding algorithm is an learning algorithm mainly for unsupervised feature for finding succinct, a little above high - level Representation of inputs, and it has successfully given a way for Deep learning. Our objective is to use High…

Machine Learning · Computer Science 2014-04-08 R. Vidya , Dr. G. M. Nasira , R. P. Jaia Priyankka

Supervised Dictionary Learning has gained much interest in the recent decade and has shown significant performance improvements in image classification. However, in general, supervised learning needs a large number of labelled samples per…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Khanh-Hung Tran , Fred-Maurice Ngole-Mboula , Jean-Luc Starck , Vincent Prost

A new method is proposed in this paper to learn overcomplete dictionary from training data samples. Differing from the current methods that enforce similar sparsity constraint on each of the input samples, the proposed method attempts to…

Data Structures and Algorithms · Computer Science 2013-05-14 Deyu Meng , Yee Leung , Qian Zhao , Zongben Xu

Many applications in signal processing benefit from the sparsity of signals in a certain transform domain or dictionary. Synthesis sparsifying dictionaries that are directly adapted to data have been popular in applications such as image…

Machine Learning · Statistics 2015-06-23 Saiprasad Ravishankar , Yoram Bresler

Dictionary learning is a branch of signal processing and machine learning that aims at finding a frame (called dictionary) in which some training data admits a sparse representation. The sparser the representation, the better the…

Machine Learning · Computer Science 2015-02-27 Luc Le Magoarou , Rémi Gribonval

Dictionary learning and sparse coding have been widely studied as mechanisms for unsupervised feature learning. Unsupervised learning could bring enormous benefit to the processing of hyperspectral images and to other remote sensing data…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Joshua Bruton , Hairong Wang

The problem of signal detection using a flexible and general model is considered. Due to applicability and flexibility of sparse signal representation and approximation, it has attracted a lot of attention in many signal processing areas.…

Information Theory · Computer Science 2016-02-17 Mohsen Joneidi , Parvin Ahmadi , Mostafa Sadeghi , Nazanin Rahnavard

In this paper we present new algorithms for training reduced-size nonlinear representations in the Kernel Dictionary Learning (KDL) problem. Standard KDL has the drawback of a large size of the kernel matrix when the data set is large.…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Denis C. Ilie-Ablachim , Bogdan Dumitrescu