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The facial expression recognition is an ocular task that can be performed without human discomfort, is really a speedily growing on the computer research field. There are many applications and programs uses facial expression to evaluate…

Computer Vision and Pattern Recognition · Computer Science 2015-06-08 Abdelmajid Hassan Mansour , Gafar Zen Alabdeen Salh , Ali Shaif Alhalemi

This paper presents an algebro-geometric solution to the problem of segmenting an unknown number of subspaces of unknown and varying dimensions from sample data points. We represent the subspaces with a set of homogeneous polynomials whose…

Computer Vision and Pattern Recognition · Computer Science 2012-02-20 Rene Vidal , Yi Ma , Shankar Sastry

Facial expression analysis is one of the popular fields of research in human computer interaction (HCI). It has several applications in next generation user interfaces, human emotion analysis, behavior and cognitive modeling. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2015-05-18 S. L. Happy , Anjith George , Aurobinda Routray

When modeling multivariate data, one might have an extra parameter of contextual information that could be used to treat some observations as more similar to others. For example, images of faces can vary by age, and one would expect the…

Computer Vision and Pattern Recognition · Computer Science 2018-02-06 Ajay Gupta , Adrian Barbu

Dimensionality reduction is critical across various domains of science including neuroscience. Probabilistic Principal Component Analysis (PPCA) is a prominent dimensionality reduction method that provides a probabilistic approach unlike…

Machine Learning · Computer Science 2025-09-24 Han-Lin Hsieh , Maryam M. Shanechi

Principal component analysis (PCA) is a popular tool for linear dimensionality reduction and feature extraction. Kernel PCA is the nonlinear form of PCA, which better exploits the complicated spatial structure of high-dimensional features.…

Computer Vision and Pattern Recognition · Computer Science 2014-09-02 Quan Wang

Facial expressions are one of the most powerful, natural and immediate means for human being to communicate their emotions and intensions. Recognition of facial expression has many applications including human-computer interaction,…

Computer Vision and Pattern Recognition · Computer Science 2016-04-18 Deepak Ghimire , Sunghwan Jeong , Joonwhoan Lee , Sang Hyun Park

Principal Component Analysis (PCA) is a commonly used tool for dimension reduction in analyzing high dimensional data; Multilinear Principal Component Analysis (MPCA) has the potential to serve the similar function for analyzing tensor…

Statistics Theory · Mathematics 2011-04-29 Hung Hung , Pei-Shien Wu , I-Ping Tu , Su-Yun Huang

Facial expression classification is a kind of image classification and it has received much attention, in recent years. There are many approaches to solve these problems with aiming to increase efficient classification. One of famous…

Computer Vision and Pattern Recognition · Computer Science 2011-07-19 Thai Le , Phat Tat , Hai Tran

Generalized principal component analysis (GLM-PCA) facilitates dimension reduction of non-normally distributed data. We provide a detailed derivation of GLM-PCA with a focus on optimization. We also demonstrate how to incorporate…

Machine Learning · Computer Science 2019-07-08 F. William Townes

Facial Expression Classification is an interesting research problem in recent years. There are a lot of methods to solve this problem. In this research, we propose a novel approach using Canny, Principal Component Analysis (PCA) and…

Computer Vision and Pattern Recognition · Computer Science 2011-11-18 Le Hoang Thai , Nguyen Do Thai Nguyen , Tran Son Hai

In this article we propose a method for the recognition of faces with different facial expressions. For recognition we extract feature vectors by using log-Gabor filters of multiple orientations and scales. Using sliding window algorithm…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Vytautas Perlibakas

Previous approaches to model and analyze facial expression analysis use three different techniques: facial action units, geometric features and graph based modelling. However, previous approaches have treated these technique separately.…

Computer Vision and Pattern Recognition · Computer Science 2016-06-03 Mehdi Ghayoumi , Arvind K Bansal

In this paper, we propose a novel approach named by Discriminative Principal Component Analysis which is abbreviated as Discriminative PCA in order to enhance separability of PCA by Linear Discriminant Analysis (LDA). The proposed method…

Computer Vision and Pattern Recognition · Computer Science 2019-03-13 Hanli Qiao

The Facial Action Coding System (FACS) for studying facial expressions is manual and requires significant effort and expertise. This paper explores the use of automated techniques to generate Action Units (AUs) for studying facial…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Shivansh Chandra Tripathi , Rahul Garg

Principal component analysis (PCA) is often used for analyzing data in the most diverse areas. In this work, we report an integrated approach to several theoretical and practical aspects of PCA. We start by providing, in an intuitive and…

Computational Engineering, Finance, and Science · Computer Science 2021-06-09 Felipe L. Gewers , Gustavo R. Ferreira , Henrique F. de Arruda , Filipi N. Silva , Cesar H. Comin , Diego R. Amancio , Luciano da F. Costa

Principal Component Analysis (PCA) is a workhorse of modern data science. While PCA assumes the data conforms to Euclidean geometry, for specific data types, such as hierarchical and cyclic data structures, other spaces are more…

Machine Learning · Statistics 2024-07-11 Puoya Tabaghi , Michael Khanzadeh , Yusu Wang , Sivash Mirarab

A relaxed two dimensional principal component analysis (R2DPCA) approach is proposed for face recognition. Different to the 2DPCA, 2DPCA-$L_1$ and G2DPCA, the R2DPCA utilizes the label information (if known) of training samples to calculate…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Xiao Chen , Zhi-Gang Jia , Yunfeng Cai , Mei-Xiang Zhao

Robust principal component analysis (RPCA) is a powerful method for learning low-rank feature representation of various visual data. However, for certain types as well as significant amount of error corruption, it fails to yield…

Computer Vision and Pattern Recognition · Computer Science 2018-01-24 Niannan Xue , Jiankang Deng , Shiyang Cheng , Yannis Panagakis , Stefanos Zafeiriou

Matrix factor models have been growing popular dimension reduction tools for large-dimensional matrix time series. However, the heteroscedasticity of the idiosyncratic components has barely received any attention. Starting from the pseudo…

Statistics Theory · Mathematics 2024-12-03 Yong He , Yujie Hou , Haixia Liu , Yalin Wang
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