Publication Type
Journal Article
Version
publishedVersion
Publication Date
3-2017
Abstract
Feature learning is a critical step in pattern recognition, such as image classification. However, most of the existing methods cannot extract features that are discriminative and at the same time invariant under some transforms. This limits the classification performance, especially in the case of small training sets. To address this issue, in this paper we propose a novel Partial Differential Equation (PDE) based method for feature learning. The feature learned by our PDE is discriminative, also translationally and rotationally invariant, and robust to illumination variation. To our best knowledge, this is the first work that applies PDE to feature learning and image recognition tasks. Specifically, we model feature learning as an evolution process governed by a PDE, which is designed to be translationally and rotationally invariant and is learned via minimizing the training error, hence extracts discriminative information from data. After feature extraction, we apply a linear classifier for classification. We also propose an efficient algorithm that optimizes the whole framework. Our method is very effective when the training samples are few. The experimental results of face recognition on the four benchmark face datasets show that the proposed method outperforms the state-of-the-art feature learning methods in the case of low-resolution images and when the training samples are limited.
Keywords
Feature learning, Partial differential equation, Fface recognition
Discipline
Artificial Intelligence and Robotics | Graphics and Human Computer Interfaces
Areas of Excellence
Digital transformation
Publication
Pattern Recognition
Volume
69
First Page
14
Last Page
25
ISSN
0031-3203
Identifier
10.1016/J.PATCOG.2017.03.034
Publisher
Elsevier
Citation
FANG, Cong; ZHAO, Zhenyu; ZHOU, Pan; and LIN, Zhouchen.
Feature learning via partial differential equation with applications to face recognition. (2017). Pattern Recognition. 69, 14-25.
Available at: https://ink.library.smu.edu.sg/sis_research/9005
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1016/J.PATCOG.2017.03.034
Included in
Artificial Intelligence and Robotics Commons, Graphics and Human Computer Interfaces Commons