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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

Audio events are quite often overlapping in nature, and more prone to noise than visual signals. There has been increasing evidence for the superior performance of representations learned using sparse dictionaries for applications like…

机器学习 · 计算机科学 2017-12-05 Vaisakh Shaj , Puranjoy Bhattacharya

Convolutional sparse representations are a form of sparse representation with a dictionary that has a structure that is equivalent to convolution with a set of linear filters. While effective algorithms have recently been developed for the…

机器学习 · 计算机科学 2018-09-06 Cristina Garcia-Cardona , Brendt Wohlberg

We propose a new method for learning word representations using hierarchical regularization in sparse coding inspired by the linguistic study of word meanings. We show an efficient learning algorithm based on stochastic proximal methods…

计算与语言 · 计算机科学 2014-11-07 Dani Yogatama , Manaal Faruqui , Chris Dyer , Noah A. Smith

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…

机器学习 · 计算机科学 2015-08-25 Rémi Gribonval , Rodolphe Jenatton , Francis Bach

Sparse representation models a signal as a linear combination of a small number of dictionary atoms. As a generative model, it requires the dictionary to be highly redundant in order to ensure both a stable high sparsity level and a low…

计算机视觉与模式识别 · 计算机科学 2015-06-23 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran

We present a probabilistic modeling and inference framework for discriminative analysis dictionary learning under a weak supervision setting. Dictionary learning approaches have been widely used for tasks such as low-level signal denoising…

信号处理 · 电气工程与系统科学 2018-05-09 Zeyu You , Raviv Raich , Xiaoli Z. Fern , Jinsub Kim

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 =…

机器学习 · 计算机科学 2018-05-09 Pranjal Awasthi , Aravindan Vijayaraghavan

In this paper, we address the problem of discriminative dictionary learning (DDL), where sparse linear representation and classification are combined in a probabilistic framework. As such, a single discriminative dictionary and linear…

计算机视觉与模式识别 · 计算机科学 2011-09-13 Bernard Ghanem , Narendra Ahuja

Sparse representation using over-complete dictionaries have shown to produce good quality results in various image processing tasks. Dictionary learning algorithms have made it possible to engineer data adaptive dictionaries which have…

图像与视频处理 · 电气工程与系统科学 2019-11-11 Nishant Deepak Keni , Amol Mangirish Singbal , Rizwan Ahmed

The goal of predictive sparse coding is to learn a representation of examples as sparse linear combinations of elements from a dictionary, such that a learned hypothesis linear in the new representation performs well on a predictive task.…

机器学习 · 计算机科学 2012-10-09 Nishant A. Mehta , Alexander G. Gray

In the synthesis model signals are represented as a sparse combinations of atoms from a dictionary. Dictionary learning describes the acquisition process of the underlying dictionary for a given set of training samples. While ideally this…

Many techniques in computer vision, machine learning, and statistics rely on the fact that a signal of interest admits a sparse representation over some dictionary. Dictionaries are either available analytically, or can be learned from a…

计算机视觉与模式识别 · 计算机科学 2013-03-22 Simon Hawe , Matthias Seibert , Martin Kleinsteuber

The dictionary learning problem, representing data as a combination of a few atoms, has long stood as a popular method for learning representations in statistics and signal processing. The most popular dictionary learning algorithm…

机器学习 · 计算机科学 2022-08-04 Bahareh Tolooshams , Demba Ba

Learning optimal dictionaries for sparse coding has exposed characteristic sparse features of many natural signals. However, universal guarantees of the stability of such features in the presence of noise are lacking. Here, we provide very…

机器学习 · 统计学 2019-05-16 Charles J. Garfinkle , Christopher J. Hillar

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

计算机视觉与模式识别 · 计算机科学 2013-02-06 Ehsan Elhamifar , Rene Vidal

Dictionary learning algorithms have been successfully used in both reconstructive and discriminative tasks, where the input signal is represented by a linear combination of a few dictionary atoms. While these methods are usually developed…

机器学习 · 统计学 2015-02-12 Soheil Bahrampour , Nasser M. Nasrabadi , Asok Ray , Kenneth W. Jenkins

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…

机器学习 · 计算机科学 2015-02-27 Luc Le Magoarou , Rémi Gribonval

Dictionary learning algorithms have been successfully used for both reconstructive and discriminative tasks, where an input signal is represented with a sparse linear combination of dictionary atoms. While these methods are mostly developed…

机器学习 · 统计学 2016-01-20 Soheil Bahrampour , Nasser M. Nasrabadi , Asok Ray , W. Kenneth Jenkins

Dictionary learning is the task of determining a data-dependent transform that yields a sparse representation of some observed data. The dictionary learning problem is non-convex, and usually solved via computationally complex iterative…

机器学习 · 计算机科学 2016-11-30 Cristian Rusu , Nuria Gonzalez-Prelcic , Robert Heath