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arXiv 2111.09027cs.CV

基于统计方法的判别字典学习

Discriminative Dictionary Learning based on Statistical Methods

School of Computer and Information Sciences, University of Hyderabad(海得拉巴大学计算机与信息科学学院)

G. Madhuri, Atul Negi

AI总结:

本文探讨了利用统计方法改进字典学习以提升分类性能,提出混合方法结合稀疏系数与多层感知机,实现判别字典学习。

摘要:

稀疏表示(SR)在信号或数据表示中具有坚实的理论基础和严谨的数学误差界。信号的稀疏表示由矩阵的极少数列的叠加给出,隐含地降低了维度。训练字典以最小化每个类别的损失称为字典学习(DL)。像方法最优方向(MOD)和K-SVD这样的字典学习方法已在图像处理的重建应用中成功使用,如图像去噪和修复。其他字典学习算法如判别K-SVD和标签一致K-SVD是基于K-SVD的监督学习方法。在我们的经验中,当前方法的一个缺点是,在具有大量类别和高维性的数据集(如泰卢格语OCR数据集)上的分类性能不令人满意。有改进的空间,许多研究者已使用统计方法设计用于分类的字典。本章回顾了统计技术及其在学习判别字典中的应用。所描述方法的目标是通过稀疏表示改进分类。本章描述了一种混合方法,其中输入数据的稀疏系数被生成。我们使用一个简单的三层多层感知机,通过反向传播训练作为分类器,以这些稀疏代码作为输入。结果与其它计算密集型方法相当。

英文摘要:

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 dimensionality. Training dictionaries such that they represent each class of signals with minimal loss is called Dictionary Learning (DL). Dictionary learning methods like Method of Optimal Directions (MOD) and K-SVD have been successfully used in reconstruction based applications in image processing like image "denoising", "inpainting" and others. Other dictionary learning algorithms such as Discriminative K-SVD and Label Consistent K-SVD are supervised learning methods based on K-SVD. In our experience, one of the drawbacks of current methods is that the classification performance is not impressive on datasets like Telugu OCR datasets, with large number of classes and high dimensionality. There is scope for improvement in this direction and many researchers have used statistical methods to design dictionaries for classification. This chapter presents a review of statistical techniques and their application to learning discriminative dictionaries. The objective of the methods described here is to improve classification using sparse representation. In this chapter a hybrid approach is described, where sparse coefficients of input data are generated. We use a simple three layer Multi Layer Perceptron with back-propagation training as a classifier with those sparse codes as input. The results are quite comparable with other computation intensive methods. Keywords: Statistical modeling, Dictionary Learning, Discriminative Dictionary, Sparse representation, Gaussian prior, Cauchy prior, Entropy, Hidden Markov model, Hybrid Dictionary Learning

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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