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A set of curves or images of similar shape is an increasingly common functional data set collected in the sciences. Principal Component Analysis (PCA) is the most widely used technique to decompose variation in functional data. However, the…

Methodology · Statistics 2009-09-29 Rima Izem , J. S. Marron

We introduce Sieve-SDP, a simple facial reduction algorithm to preprocess semidefinite programs (SDPs). Sieve-SDP inspects the constraints of the problem to detect lack of strict feasibility, deletes redundant rows and columns, and reduces…

Optimization and Control · Mathematics 2021-03-02 Yuzixuan , Zhu , Gabor Pataki , Quoc Tran-Dinh

Deep learning advanced face recognition to an unprecedented accuracy. However, understanding how local parts of the face affect the overall recognition performance is still mostly unclear. Among others, face swap has been experimented to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-24 Claudio Ferrari , Matteo Serpentoni , Stefano Berretti , Alberto Del Bimbo

Over the years, Principal Component Analysis (PCA) has served as the baseline approach for dimensionality reduction in gene expression data analysis. It primary objective is to identify a subset of disease-causing genes from a vast pool of…

Algebraic Topology · Mathematics 2023-06-13 Sean Cottrell , Rui Wang , Guowei Wei

Emotional Intelligence in Human-Computer Interaction has attracted increasing attention from researchers in multidisciplinary research fields including psychology, computer vision, neuroscience, artificial intelligence, and related…

Human-Computer Interaction · Computer Science 2020-02-25 Amine Djerghri , Ahmed Rachid Hazourli , Alice Othmani

We present a technique to perform dimensionality reduction on data that is subject to uncertainty. Our method is a generalization of traditional principal component analysis (PCA) to multivariate probability distributions. In comparison to…

Machine Learning · Computer Science 2019-10-14 Jochen Görtler , Thilo Spinner , Dirk Streeb , Daniel Weiskopf , Oliver Deussen

Facial expression synthesis has drawn much attention in the field of computer graphics and pattern recognition. It has been widely used in face animation and recognition. However, it is still challenging due to the high-level semantic…

Computer Vision and Pattern Recognition · Computer Science 2017-12-12 Lingxiao Song , Zhihe Lu , Ran He , Zhenan Sun , Tieniu Tan

Facial expression has a significant role in analyzing human cognitive state. Deriving an accurate facial appearance representation is a critical task for an automatic facial expression recognition application. This paper provides a new…

Computer Vision and Pattern Recognition · Computer Science 2018-07-25 Monu Verma , Prafulla Saxena , Santosh. K. Vipparthi , Gridhari Singh

The human face conveys a significant amount of information. Through facial expressions, the face is able to communicate numerous sentiments without the need for verbalisation. Visual emotion recognition has been extensively studied.…

Computer Vision and Pattern Recognition · Computer Science 2022-01-20 Liam Schoneveld , Alice Othmani

Human communication is the vocal and non verbal signal to communicate with others. Human expression is a significant biometric object in picture and record databases of surveillance systems. Face appreciation has a serious role in biometric…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 P. Deivendran , P. Suresh Babu , G. Malathi , K. Anbazhagan , R. Senthil Kumar

Principal Component Analysis (PCA) is a transform for finding the principal components (PCs) that represent features of random data. PCA also provides a reconstruction of the PCs to the original data. We consider an extension of PCA which…

Methodology · Statistics 2021-11-05 Pablo Soto-Quiros , Anatoli Torokhti

Facial expression recognition is a crucial component in enhancing human-computer interaction and developing emotion-aware systems. Real-time detection and interpretation of facial expressions have become increasingly important for various…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Talha Enes Koksal , Abdurrahman Gumus

Principal Subspace Analysis (PSA) -- and its sibling, Principal Component Analysis (PCA) -- is one of the most popular approaches for dimensionality reduction in signal processing and machine learning. But centralized PSA/PCA solutions are…

Machine Learning · Computer Science 2021-11-25 Arpita Gang , Bingqing Xiang , Waheed U. Bajwa

Video-based analysis of facial expressions has been increasingly applied to infer health states of individuals, such as depression and pain. Among the existing approaches, deep learning models composed of structures for multiscale…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Wheidima Carneiro de Melo , Eric Granger , Miguel Bordallo Lopez

We have developed a convolutional neural network for the purpose of recognizing facial expressions in human beings. We have fine-tuned the existing convolutional neural network model trained on the visual recognition dataset used in the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Viraj Mavani , Shanmuganathan Raman , Krishna P Miyapuram

In this paper we develop a new approach to sparse principal component analysis (sparse PCA). We propose two single-unit and two block optimization formulations of the sparse PCA problem, aimed at extracting a single sparse dominant…

Optimization and Control · Mathematics 2008-12-01 Michel Journée , Yurii Nesterov , Peter Richtárik , Rodolphe Sepulchre

Principal Component Analysis (PCA) is a widely used method for dimensionality reduction, but it often overlooks fairness, especially when working with data that includes demographic characteristics. This can lead to biased representations…

Machine Learning · Computer Science 2025-02-25 Vidhi Rathore , Naresh Manwani

Although much progress has been made in the facial expression analysis field, facial occlusions are still challenging. The main innovation brought by this contribution consists in exploiting the specificities of facial movement propagation…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Delphine Poux , Benjamin Allaert , Jose Mennesson , Nacim Ihaddadene , Ioan Marius Bilasco , Chaabane Djeraba

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

Machine Learning · Statistics 2012-03-07 Brian McWilliams , Giovanni Montana

Only parts of unlabeled data are selected to train models for most semi-supervised learning methods, whose confidence scores are usually higher than the pre-defined threshold (i.e., the confidence margin). We argue that the recognition…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Hangyu Li , Nannan Wang , Xi Yang , Xiaoyu Wang , Xinbo Gao
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