Auto-Encoder based Structured Dictinoary Learning

Deyin Liu, Yuan Wu, Liangchen Liu, Qichang Hu, Lin Qi
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Abstract

Dictionary learning and deep learning are two popular representation learning paradigms, which can be combined to boost the classification task. However, existing combination methods often learn multiple dictionaries embedded in a cascade of layers, and a specialized classifier accordingly. This may inattentively lead to overfitting and high computational cost. In this paper, we present a novel deep auto-encoding architecture to learn only a dictionary for classification. To empower the dictionary with discrimination, we construct the dictionary with class-specific sub-dictionaries, and introduce supervision by imposing category constraints. The proposed framework is inspired by a sparse optimization method, namely Iterative Shrinkage Thresholding Algorithm, which characterizes the learning process by the forward-propagation based optimization w.r.t the dictionary only, reducing the number of parameters to learn and the computational cost dramatically. Extensive experiments demonstrate the effectiveness of our method in image classification.
基于自动编码器的结构化字典学习
字典学习和深度学习是两种流行的表示学习范式,它们可以结合起来提升分类任务。然而,现有的组合方法通常学习嵌入在级联层中的多个字典,并相应地学习专门的分类器。这可能会不经意地导致过拟合和高计算成本。在本文中,我们提出了一种新的深度自动编码体系结构,只学习字典进行分类。为了赋予字典辨别能力,我们用类特定的子字典构造字典,并通过施加类别约束引入监督。该框架的灵感来自于一种稀疏优化方法,即迭代收缩阈值算法,该算法通过仅使用字典的前向传播优化来表征学习过程,大大减少了学习参数的数量和计算成本。大量的实验证明了该方法在图像分类中的有效性。
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