arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1503.07989cs.CVcs.LG
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用于分类的判别贝叶斯字典学习

Discriminative Bayesian Dictionary Learning for Classification

The University of Western Australia(西澳大学)

Naveed Akhtar, Faisal Shafait, Ajmal Mian

摘要:

我们提出了一种贝叶斯方法来学习数据稀疏表示的判别字典。所提出的方法推断概率分布的判别字典的原子使用贝塔过程。它还计算将类标签与学习的字典原子相关联的伯努利分布集。这种关联表示在类特定数据的扩展中字典原子的选择概率。此外,所提出的方法的非参数字符允许它推断字典的正确大小。我们利用上述伯努利分布分别学习线性分类器。分类器使用相同的分层贝叶斯模型的字典,我们沿着吉布斯抽样的分析推理解决方案。对于分类,首先在学习的字典上对测试实例进行稀疏编码,然后将代码馈送到分类器。我们使用五个公共数据集进行了人脸和动作识别以及对象和场景类别分类的实验,并将结果与最先进的判别稀疏表示方法进行了比较。实验表明,所提出的贝叶斯方法始终优于现有的方法。

英文摘要:

We propose a Bayesian approach to learn discriminative dictionaries for sparse representation of data. The proposed approach infers probability distributions over the atoms of a discriminative dictionary using a Beta Process. It also computes sets of Bernoulli distributions that associate class labels to the learned dictionary atoms. This association signifies the selection probabilities of the dictionary atoms in the expansion of class-specific data. Furthermore, the non-parametric character of the proposed approach allows it to infer the correct size of the dictionary. We exploit the aforementioned Bernoulli distributions in separately learning a linear classifier. The classifier uses the same hierarchical Bayesian model as the dictionary, which we present along the analytical inference solution for Gibbs sampling. For classification, a test instance is first sparsely encoded over the learned dictionary and the codes are fed to the classifier. We performed experiments for face and action recognition; and object and scene-category classification using five public datasets and compared the results with state-of-the-art discriminative sparse representation approaches. Experiments show that the proposed Bayesian approach consistently outperforms the existing approaches.

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