Optimal Regularization Parameter Estimation for Spectral Regression Discriminant Analysis

Spectral regression discriminant analysis (SRDA) is an efficient subspace learning method proposed recently. One important unsolved issue of SRDA is how to automatically determine an appropriate regularization parameter. In this letter, we present a method to estimate the optimal regularization parameter for SRDA. We test our method in different applications including head pose estimation, face recognition, and text categorization. Our extensive experiments evidently illustrate the effectiveness and efficiency of our approach.

[1]  Sethuraman Panchanathan,et al.  Person-Independent Head Pose Estimation Using Biased Manifold Embedding , 2008, EURASIP J. Adv. Signal Process..

[2]  Gene H. Golub,et al.  Generalized cross-validation as a method for choosing a good ridge parameter , 1979, Milestones in Matrix Computation.

[3]  Shuicheng Yan,et al.  Synchronized Submanifold Embedding for Person-Independent Pose Estimation and Beyond , 2009, IEEE Transactions on Image Processing.

[4]  Yuxiao Hu,et al.  Face recognition using Laplacianfaces , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  Jiawei Han,et al.  Spectral Regression for Efficient Regularized Subspace Learning , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[6]  Yun Fu,et al.  Locating Nose-Tips and Estimating Head Poses in Images by Tensorposes , 2009, IEEE Transactions on Circuits and Systems for Video Technology.

[7]  Yun Fu,et al.  Graph embedded analysis for head pose estimation , 2006, 7th International Conference on Automatic Face and Gesture Recognition (FGR06).

[8]  P. Hansen Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion , 1987 .

[9]  Jiawei Han,et al.  SRDA: An Efficient Algorithm for Large-Scale Discriminant Analysis , 2008, IEEE Transactions on Knowledge and Data Engineering.

[10]  Rainer Stiefelhagen,et al.  Analysis of Local Appearance-Based Face Recognition: Effects of Feature Selection and Feature Normalization , 2006, 2006 Conference on Computer Vision and Pattern Recognition Workshop (CVPRW'06).

[11]  J. Crowley,et al.  Estimating Face orientation from Robust Detection of Salient Facial Structures , 2004 .

[12]  Stephen Lin,et al.  Graph Embedding and Extensions: A General Framework for Dimensionality Reduction , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[13]  Per Christian Hansen 4. Problems with Ill-Determined Rank , 1998 .

[14]  Jiawei Han,et al.  Regularized locality preserving indexing via spectral regression , 2007, CIKM '07.