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Multivariable parametric models are essential for optimizing the performance of high-tech systems. The main objective of this paper is to develop an identification strategy that provides accurate parametric models for complex multivariable…

Systems and Control · Electrical Eng. & Systems 2025-03-05 M. van der Hulst , R. A. González , K. Classens , P. Tacx , N. Dirkx , J. van de Wijdeven , T. Oomen

Sequence classification has numerous applications in various fields. Despite extensive studies in the last decades, many challenges still exist, particularly in pattern-based methods. Existing pattern-based methods measure the…

Machine Learning · Computer Science 2023-10-23 Junjie Dong , Mudi Jiang , Lianyu Hu , Zengyou He

Principal Component Analysis (PCA) has been widely used for dimensionality reduction and feature extraction. Robust PCA (RPCA), under different robust distance metrics, such as l1-norm and l2, p-norm, can deal with noise or outliers to some…

Machine Learning · Computer Science 2021-06-29 Zhao Kang , Hongfei Liu , Jiangxin Li , Xiaofeng Zhu , Ling Tian

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 is an important pattern recognition and dimensionality reduction tool in many applications. Principal components are computed as eigenvectors of a maximum likelihood covariance $\widehat{\Sigma}$ that…

Statistics Theory · Mathematics 2017-10-30 Raphael Hauser , Raul Kangro , Jüri Lember , Heinrich Matzinger

In this paper, we present a novel person reidentification (PRe-ID) system that based on tensor feature representation and multilinear subspace learning. Our approach utilizes pretrained CNNs for high-level feature extraction, along with…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Akram Abderraouf Gharbi , Ammar Chouchane , Mohcene Bessaoudi , Abdelmalik Ouamane , El ouanas Belabbaci

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

We introduce a novel visual tokenization framework that embeds a provable PCA-like structure into the latent token space. While existing visual tokenizers primarily optimize for reconstruction fidelity, they often neglect the structural…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Xin Wen , Bingchen Zhao , Ismail Elezi , Jiankang Deng , Xiaojuan Qi

We present the self-encoder, a neural network trained to guess the identity of each data sample. Despite its simplicity, it learns a very useful representation of data, in a self-supervised way. Specifically, the self-encoder learns to…

Machine Learning · Computer Science 2023-06-27 Armand Boschin , Thomas Bonald , Marc Jeanmougin

We study the fundamental problem of Principal Component Analysis in a statistical distributed setting in which each machine out of $m$ stores a sample of $n$ points sampled i.i.d. from a single unknown distribution. We study algorithms for…

Machine Learning · Computer Science 2017-02-28 Dan Garber , Ohad Shamir , Nathan Srebro

Autoencoders and generative models produce some of the most spectacular deep learning results to date. However, understanding and controlling the latent space of these models presents a considerable challenge. Drawing inspiration from…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Chi-Hieu Pham , Saïd Ladjal , Alasdair Newson

Person attributes are often exploited as mid-level human semantic information to help promote the performance of person re-identification task. In this paper, unlike most existing methods simply taking attribute learning as a classification…

Computer Vision and Pattern Recognition · Computer Science 2019-02-28 Shuzhao Li , Huimin Yu , Wei Huang , Jing Zhang

We study the principal components of covariance estimators in multivariate mixed-effects linear models. We show that, in high dimensions, the principal eigenvalues and eigenvectors may exhibit bias and aliasing effects that are not present…

Probability · Mathematics 2020-08-06 Zhou Fan , Yi Sun , Zhichao Wang

A Bio-metrics system is actually a pattern recognition system that utilizes various patterns like iris, retina and biological traits like fingerprint, voice recognition, facial geometry and hand geometry. What makes Bio-metrics really…

Cryptography and Security · Computer Science 2022-02-01 Kavyashree U , K N Deeksha , Suma Ballal , Vitina Mary Dsouza , Rama Moorthy H

Intrinsic image decomposition is an important and long-standing computer vision problem. Given an input image, recovering the physical scene properties is ill-posed. Several physically motivated priors have been used to restrict the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Zongji Wang , Yunfei Liu , Feng Lu

Despite the advances of deep learning in specific tasks using images, the principled assessment of image fidelity and similarity is still a critical ability to develop. As it has been shown that Mean Squared Error (MSE) is insufficient for…

Image and Video Processing · Electrical Eng. & Systems 2019-08-27 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

Generally, privacy-enhancing face recognition systems are designed to offer permanent protection of face embeddings. Recently, so-called soft-biometric privacy-enhancement approaches have been introduced with the aim of canceling…

Computer Vision and Pattern Recognition · Computer Science 2023-10-05 Daile Osorio-Roig , Paul A. Gerlitz , Christian Rathgeb , Christoph Busch

Face Recognition is most used for biometric user authentication that identifies a user based on his or her facial features. The system is in high demand, as it is used by many businesses and employed in many devices such as smartphones and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Kavan Adeshara , Vinayak Elangovan

We investigate the approximation of high-dimensional target measures as low-dimensional updates of a dominating reference measure. This approximation class replaces the associated density with the composition of: (i) a feature map that…

Computation · Statistics 2024-01-17 Matthew T. C. Li , Youssef Marzouk , Olivier Zahm

In this work we propose a new architecture for person re-identification. As the task of re-identification is inherently associated with embedding learning and non-rigid appearance description, our architecture is based on the deep bilinear…

Computer Vision and Pattern Recognition · Computer Science 2017-09-07 Evgeniya Ustinova , Yaroslav Ganin , Victor Lempitsky