An Evaluation of Sparseness as a Criterion for Selecting Independent Component Filters, When Applied to Texture Retrieval

Nabeel Mohammed, D. Squire
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Abstract

In this paper we evaluate the utility of sparseness as a criterion for selecting a sub-set of independent component filters (ICF). Four sparseness measures were presented more than a decade ago by Le Borgne et al., but have since been ignored for ICF selection. In this paper we present our evaluation in the context of texture retrieval. We compare the sparseness-based method with the dispersal-based method, also proposed by Le Borgne et al., and the clustering-based method previously proposed by us. We show that the sparse filters and highly dispersed filters are quite different. In fact we show that highly dispersed filters tend to have lower sparseness. We also show that the sparse filters give better results compared to the highly dispersed filters when applied to texture retrieval. However the sparseness measures are calculated over filter response energies, making this method susceptible to choosing a redundant filter set. This issue is demonstrated and we show that ICF selected using our clustering-based method, which chooses a filter set with much lower redundancy, outperforms the sparse filters.
稀疏度评价作为选择独立分量滤波器的准则,应用于纹理检索
在本文中,我们评估了稀疏性作为选择独立分量滤波器子集(ICF)的标准的效用。十多年前,Le Borgne等人提出了四种稀疏度度量,但此后在ICF选择中被忽略。本文在纹理检索的背景下给出了我们的评价。我们将基于稀疏度的方法与Le Borgne等人提出的基于分散度的方法以及我们之前提出的基于聚类的方法进行了比较。我们发现稀疏滤波器和高度分散滤波器是完全不同的。事实上,我们表明,高度分散的滤波器往往具有较低的稀疏性。我们还表明,当应用于纹理检索时,稀疏滤波器比高度分散滤波器具有更好的结果。然而,稀疏度度量是在滤波器响应能量上计算的,使得该方法容易选择冗余滤波器集。我们证明了这个问题,并表明使用我们的基于聚类的方法选择的ICF,它选择了一个冗余度低得多的滤波器集,优于稀疏滤波器。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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