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The problem of faces detection in images or video streams is a classical problem of computer vision. The multiple solutions of this problem have been proposed, but the question of their optimality is still open. Many algorithms achieve a…

Computer Vision and Pattern Recognition · Computer Science 2015-11-24 Ilya Kalinovskii , Vladimir Spitsyn

Face recognition remains a hot topic in computer vision, and it is challenging to tackle the problem that both the training and testing images are corrupted. In this paper, we propose a novel semi-supervised method based on the theory of…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Pei Xie , He-Feng Yin , Xiao-Jun Wu

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

The locally competitive algorithm (LCA) can solve sparse coding problems across a wide range of use cases. Recently, convolution-based LCA approaches have been shown to be highly effective for enhancing robustness for image recognition…

Computer Vision and Pattern Recognition · Computer Science 2025-05-01 Geoffrey Kasenbacher , Felix Ehret , Gerrit Ecke , Sebastian Otte

We study distributed principal component analysis (PCA) in high-dimensional settings under the spiked model. In such regimes, sample eigenvectors can deviate significantly from population ones, introducing a persistent bias. Existing…

Methodology · Statistics 2025-05-29 Weiming Li , Zeng Li , Siyu Wang , Yanqing Yin , Junpeng Zhu

Sparse Principal Component Analysis (PCA) is a dimensionality reduction technique wherein one seeks a low-rank representation of a data matrix with additional sparsity constraints on the obtained representation. We consider two…

Information Theory · Computer Science 2014-05-06 Yash Deshpande , Andrea Montanari

Face recognition is an effective technology for identifying a target person by facial images. However, sensitive facial images raises privacy concerns. Although privacy-preserving face recognition is one of potential solutions, this…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Guotao Xu , Bowen Zhao , Yang Xiao , Yantao Zhong , Liang Zhai , Qingqi Pei

We consider the problem of optimizing the sum of a smooth convex function and a non-smooth convex function using proximal-gradient methods, where an error is present in the calculation of the gradient of the smooth term or in the proximity…

Machine Learning · Computer Science 2011-12-02 Mark Schmidt , Nicolas Le Roux , Francis Bach

Facial recognition is one of the most academically studied and industrially developed areas within computer vision where we readily find associated applications deployed globally. This widespread adoption has uncovered significant…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Seyma Yucer , Furkan Tektas , Noura Al Moubayed , Toby P. Breckon

Adaptive sparse coding methods learn a possibly overcomplete set of basis functions, such that natural image patches can be reconstructed by linearly combining a small subset of these bases. The applicability of these methods to visual…

Computer Vision and Pattern Recognition · Computer Science 2010-10-19 Koray Kavukcuoglu , Marc'Aurelio Ranzato , Yann LeCun

We propose an effective subspace selection scheme as a post-processing step to improve results obtained by sparse subspace clustering (SSC). Our method starts by the computation of stable subspaces using a novel random sampling scheme. Thus…

Computer Vision and Pattern Recognition · Computer Science 2016-05-30 Duc-Son Pham , Ognjen Arandjelovic , Svetha Venkatesh

We introduce primed-PCA (pPCA), a two-step algorithm for speeding up the approximation of principal components. This algorithm first runs any approximate-PCA method to get an initial estimate of the principal components (priming), and then…

Machine Learning · Computer Science 2022-05-23 Bálint Máté , François Fleuret

In this paper, we propose a new framework for segmenting feature-based moving objects under affine subspace model. Since the feature trajectories in practice are high-dimensional and contain a lot of noise, we firstly apply the sparse PCA…

Computer Vision and Pattern Recognition · Computer Science 2017-01-25 Michael Ying Yang , Hanno Ackermann , Weiyao Lin , Sitong Feng , Bodo Rosenhahn

Sparse principal component analysis (SPCA) has emerged as a powerful technique for modern data analysis, providing improved interpretation of low-rank structures by identifying localized spatial structures in the data and disambiguating…

The boom of non-uniform sampling and compressed sensing techniques dramatically alleviates the lengthy data acquisition problem of magnetic resonance imaging. Sparse reconstruction, thanks to its fast computation and promising performance,…

Image and Video Processing · Electrical Eng. & Systems 2020-08-05 Xinlin Zhang , Hengfa Lu , Di Guo , Lijun Bao , Feng Huang , Qin Xu , Xiaobo Qu

In this paper, we propose a proximal stochasitc gradient algorithm (PSGA) for solving composite optimization problems by incorporating variance reduction techniques and an adaptive step-size strategy. In the PSGA method, the objective…

Optimization and Control · Mathematics 2026-04-06 Changjie Fang , Hao Yang , Shenglan Chen

The purpose of this technical report is to review the main properties of an accelerated composite gradient (ACG) method commonly referred to as the Fast Iterative Shrinkage-Thresholding Algorithm (FISTA). In addition, we state a version of…

Optimization and Control · Mathematics 2021-07-06 Weiwei Kong , Jefferson G. Melo , Renato D. C. Monteiro

We discuss a clustering method for Gaussian mixture model based on the sparse principal component analysis (SPCA) method and compare it with the IF-PCA method. We also discuss the dependent case where the covariance matrix $\Sigma$ is not…

Methodology · Statistics 2016-02-18 T. Tony Cai , Linjun Zhang

In the context of sparse principal component detection, we bring evidence towards the existence of a statistical price to pay for computational efficiency. We measure the performance of a test by the smallest signal strength that it can…

Statistics Theory · Mathematics 2013-04-29 Quentin Berthet , Philippe Rigollet

This work presents a new robust PCA method for foreground-background separation on freely moving camera video with possible dense and sparse corruptions. Our proposed method registers the frames of the corrupted video and then encodes the…

Machine Learning · Statistics 2019-01-07 Brian E. Moore , Chen Gao , Raj Rao Nadakuditi