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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

In this paper we consider the dictionary learning problem for sparse representation. We first show that this problem is NP-hard by polynomial time reduction of the densest cut problem. Then, using successive convex approximation strategies,…

机器学习 · 计算机科学 2015-11-06 Meisam Razaviyayn , Hung-Wei Tseng , Zhi-Quan Luo

In big data image/video analytics, we encounter the problem of learning an overcomplete dictionary for sparse representation from a large training dataset, which can not be processed at once because of storage and computational constraints.…

机器学习 · 计算机科学 2014-03-20 Subhadip Mukherjee , Chandra Sekhar Seelamantula

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

Deep dictionary learning seeks multiple dictionaries at different image scales to capture complementary coherent characteristics. We propose a method for learning a hierarchy of synthesis dictionaries with an image classification goal. The…

计算机视觉与模式识别 · 计算机科学 2019-09-04 Shahin Mahdizadehaghdam , Ashkan Panahi , Hamid Krim , Liyi Dai

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

Recent work has demonstrated that using a carefully designed dictionary instead of a predefined one, can improve the sparsity in jointly representing a class of signals. This has motivated the derivation of learning methods for designing a…

信息论 · 计算机科学 2010-05-04 Kevin Rosenblum , Lihi Zelnik-Manor , Yonina C. Eldar

Performing signal processing tasks on compressive measurements of data has received great attention in recent years. In this paper, we extend previous work on compressive dictionary learning by showing that more general random projections…

机器学习 · 统计学 2015-04-07 Farhad Pourkamali-Anaraki , Stephen Becker , Shannon M. Hughes

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…

数据结构与算法 · 计算机科学 2013-05-14 Deyu Meng , Yee Leung , Qian Zhao , Zongben Xu

Dictionary learning is a challenge topic in many image processing areas. The basic goal is to learn a sparse representation from an overcomplete basis set. Due to combining the advantages of generic multiscale representations with learning…

计算机视觉与模式识别 · 计算机科学 2017-04-17 Rui Chen , Huizhu Jia , Xiaodong Xie , Wen Gao

Sparse representation-based classifiers have shown outstanding accuracy and robustness in image classification tasks even with the presence of intense noise and occlusion. However, it has been discovered that the performance degrades…

计算机视觉与模式识别 · 计算机科学 2015-12-22 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran

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…

机器学习 · 计算机科学 2015-06-18 Dorina Thanou , David I Shuman , Pascal Frossard

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…

图像与视频处理 · 电气工程与系统科学 2022-02-03 Joshua Bruton , Hairong Wang

In complex visual recognition tasks it is typical to adopt multiple descriptors, that describe different aspects of the images, for obtaining an improved recognition performance. Descriptors that have diverse forms can be fused into a…

计算机视觉与模式识别 · 计算机科学 2015-06-15 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Andreas Spanias

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

Subspace clustering techniques have shown promise in hyperspectral image segmentation. The fundamental assumption in subspace clustering is that the samples belonging to different clusters/segments lie in separable subspaces. What if this…

计算机视觉与模式识别 · 计算机科学 2021-11-30 Anurag Goel , Angshul Majumdar

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 · 统计学 2012-10-03 Rodolphe Jenatton , Rémi Gribonval , Francis Bach

Convolutional sparse representations are a form of sparse representation with a structured, translation invariant dictionary. Most convolutional dictionary learning algorithms to date operate in batch mode, requiring simultaneous access to…

机器学习 · 计算机科学 2018-06-19 Jialin Liu , Cristina Garcia-Cardona , Brendt Wohlberg , Wotao Yin

This paper describes a hierarchical learning strategy for generating sparse representations of multivariate datasets. The hierarchy arises from approximation spaces considered at successively finer scales. A detailed analysis of stability,…

机器学习 · 统计学 2019-10-23 Prashant Shekhar , Abani Patra

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
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