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Generic Face Image Quality Assessment (GFIQA) evaluates the perceptual quality of facial images, which is crucial in improving image restoration algorithms and selecting high-quality face images for downstream tasks. We present a novel…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Wei-Ting Chen , Gurunandan Krishnan , Qiang Gao , Sy-Yen Kuo , Sizhuo Ma , Jian Wang

Principle Component Analysis PCA is a classical feature extraction and data representation technique widely used in pattern recognition. It is one of the most successful techniques in face recognition. But it has drawback of high…

Computer Vision and Pattern Recognition · Computer Science 2012-06-26 Manal Abdullah , Majda Wazzan , Sahar Bo-saeed

Reduced biquaternion (RB), as a four-dimensional algebra highly suitable for representing color pixels, has recently garnered significant attention from numerous scholars. In this paper, for color image processing problems, we introduce a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Jifei Miao , Junjun Pan , Michael K. Ng

Generic face detection algorithms do not perform well in the mobile domain due to significant presence of occluded and partially visible faces. One promising technique to handle the challenge of partial faces is to design face detectors…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Upal Mahbub , Sayantan Sarkar , Rama Chellappa

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Nauman Shahid , Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

Topology optimization is a structural design methodology widely utilized to address engineering challenges. However, sensitivity-based topology optimization methods struggle to solve optimization problems characterized by strong…

Machine Learning · Computer Science 2025-06-16 Jun Yang , Kentaro Yaji , Shintaro Yamasaki

To address the non-negativity dropout problem of quaternion models, a novel quasi non-negative quaternion matrix factorization (QNQMF) model is presented for color image processing. To implement QNQMF, the quaternion projected gradient…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Yifen Ke , Changfeng Ma , Zhigang Jia , Yajun Xie , Riwei Liao

Dimensionality reduction represents a critical preprocessing step in order to increase the efficiency and the performance of many hyperspectral imaging algorithms. However, dimensionality reduction algorithms, such as the Principal…

Machine Learning · Computer Science 2024-03-28 E. Martel , R. Lazcano , J. Lopez , D. Madroñal , R. Salvador , S. Lopez , E. Juarez , R. Guerra , C. Sanz , R. Sarmiento

Moving target detection is a challenging computer vision task aimed at generating accurate segmentation maps in diverse in-the-wild color videos captured by static cameras. If backgrounds and targets can be simultaneously extracted and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Liyang Wang , Shiqian Wu , Shun Fang , Qile Zhu , Jiaxin Wu , Sos Again

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

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

We present a new approach for face recognition system. The method is based on 2D face image features using subset of non-correlated and Orthogonal Gabor Filters instead of using the whole Gabor Filter Bank, then compressing the output…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Samir F. Hafez , Mazen M. Selim , Hala H. Zayed

Functional principal component analysis is one of the most commonly employed approaches in functional and longitudinal data analysis and we extend it to analyze functional/longitudinal data observed on a general $d$-dimensional domain. The…

Methodology · Statistics 2017-09-07 Lu-Hung Chen , Ci-Ren Jiang

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

Generative models have enabled the creation of highly realistic facial-synthetic images, raising significant concerns due to their potential for misuse. Despite rapid advancements in the field of deepfake detection, developing efficient…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Yue-Hua Han , Tai-Ming Huang , Kai-Lung Hua , Jun-Cheng Chen

This paper presents a novel quadratic projection based feature extraction framework, where a set of quadratic matrices is learned to distinguish each class from all other classes. We formulate quadratic matrix learning (QML) as a standard…

Computer Vision and Pattern Recognition · Computer Science 2016-03-28 Yan Yan , Hanzi Wang , Si Chen , Xiaochun Cao , David Zhang

Principal component analysis has been widely adopted to reduce the dimension of data while preserving the information. The quantum version of PCA (qPCA) can be used to analyze an unknown low-rank density matrix by rapidly revealing the…

Quantum Physics · Physics 2022-01-26 Zhaokai Li , Zihua Chai , Yuhang Guo , Wentao Ji , Mengqi Wang , Fazhan Shi , Ya Wang , Seth Lloyd , Jiangfeng Du

Robust Principal Component Analysis (RPCA) aims at recovering a low-rank subspace from grossly corrupted high-dimensional (often visual) data and is a cornerstone in many machine learning and computer vision applications. Even though RPCA…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Niannan Xue , Yannis Panagakis , Stefanos Zafeiriou

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

Methodology · Statistics 2025-08-22 Zhongyuan Lyu , Ming Yuan

Domain adaptation is a popular paradigm in modern machine learning which aims at tackling the problem of divergence (or shift) between the labeled training and validation datasets (source domain) and a potentially large unlabeled dataset…

Machine Learning · Computer Science 2023-11-10 Evgeny M Mirkes , Jonathan Bac , Aziz Fouché , Sergey V. Stasenko , Andrei Zinovyev , Alexander N. Gorban