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Sparse Representation (SR) of signals or data has a well founded theory with rigorous mathematical error bounds and proofs. SR of a signal is given by superposition of very few columns of a matrix called Dictionary, implicitly reducing…

计算机视觉与模式识别 · 计算机科学 2026-04-01 G. Madhuri , Atul Negi

Dictionary learning and sparse representation (DLSR) is a recent and successful mathematical model for data representation that achieves state-of-the-art performance in various fields such as pattern recognition, machine learning, computer…

计算机视觉与模式识别 · 计算机科学 2015-02-23 Mehrdad J. Gangeh , Ahmed K. Farahat , Ali Ghodsi , Mohamed S. Kamel

This paper considers the problem of simultaneously learning the Sensing Matrix and Sparsifying Dictionary (SMSD) on a large training dataset. To address the formulated joint learning problem, we propose an online algorithm that consists of…

机器学习 · 计算机科学 2018-06-05 Tao Hong , Zhihui Zhu

Exploiting channel sparsity at millimeter wave (mmWave) frequencies reduces the high training overhead associated with the channel estimation stage. Compressive sensing (CS) channel estimation techniques usually adopt the (overcomplete)…

信息论 · 计算机科学 2019-09-23 Hongxiang Xie , Javier Rodríguez-Fernández , Nuria González-Prelcic

Sparse representation, which uses dictionary atoms to reconstruct input vectors, has been studied intensively in recent years. A proper dictionary is a key for the success of sparse representation. In this paper, an active dictionary…

计算机视觉与模式识别 · 计算机科学 2014-09-30 Jin Xu , Haibo He , Hong Man

We propose an efficient online dictionary learning algorithm for kernel-based sparse representations. In this framework, input signals are nonlinearly mapped to a high-dimensional feature space and represented sparsely using a virtual…

机器学习 · 计算机科学 2025-07-03 Ghasem Alipoor , Karl Skretting

We present a sparse estimation and dictionary learning framework for compressed fiber sensing based on a probabilistic hierarchical sparse model. To handle severe dictionary coherence, selective shrinkage is achieved using a Weibull prior,…

机器学习 · 统计学 2016-10-24 Christian Weiss , Abdelhak M. Zoubir

Sparsity driven signal processing has gained tremendous popularity in the last decade. At its core, the assumption is that the signal of interest is sparse with respect to either a fixed transformation or a signal dependent dictionary. To…

计算机视觉与模式识别 · 计算机科学 2014-06-10 Yuanming Suo , Minh Dao , Umamahesh Srinivas , Vishal Monga , Trac D. Tran

Classifiers based on sparse representations have recently been shown to provide excellent results in many visual recognition and classification tasks. However, the high cost of computing sparse representations at test time is a major…

计算机视觉与模式识别 · 计算机科学 2014-10-03 Alhussein Fawzi , Mike Davies , Pascal Frossard

Sparse representation-based classification (SRC), proposed by Wright et al., seeks the sparsest decomposition of a test sample over the dictionary of training samples, with classification to the most-contributing class. Because it assumes…

计算机视觉与模式识别 · 计算机科学 2018-06-05 Chelsea Weaver , Naoki Saito

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 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

To better select the correct training sample and obtain the robust representation of the query sample, this paper proposes a discriminant-based sparse optimization learning model. This learning model integrates discriminant and sparsity…

计算机视觉与模式识别 · 计算机科学 2017-12-06 Qingxiang Feng , Yicong Zhou

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

Dimensionality reduction (DR) methods have been commonly used as a principled way to understand the high-dimensional data such as facial images. In this paper, we propose a new supervised DR method called Optimized Projection for Sparse…

计算机视觉与模式识别 · 计算机科学 2015-02-03 Can-Yi Lu , De-Shuang Huang

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

The power of sparse signal modeling with learned over-complete dictionaries has been demonstrated in a variety of applications and fields, from signal processing to statistical inference and machine learning. However, the statistical…

信息论 · 计算机科学 2017-04-26 Ignacio Ramírez , Guillermo Sapiro

The sparse dictionary coding framework represents signals as a linear combination of a few predefined dictionary atoms. It has been employed for images, time series, graph signals and recently for 2-way (or 2D) spatio-temporal data…

机器学习 · 计算机科学 2024-06-12 Boya Ma , Maxwell McNeil , Abram Magner , Petko Bogdanov

Many applications like audio and image processing show that sparse representations are a powerful and efficient signal modeling technique. Finding an optimal dictionary that generates at the same time the sparsest representations of data…

机器学习 · 计算机科学 2022-01-12 Paul Irofti , Cristian Rusu , Andrei Pătraşcu

It is now well established that sparse signal models are well suited to restoration tasks and can effectively be learned from audio, image, and video data. Recent research has been aimed at learning discriminative sparse models instead of…

计算机视觉与模式识别 · 计算机科学 2009-09-29 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro , Andrew Zisserman
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