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Of particular interest is to discover useful representations solely from observations in an unsupervised generative manner. However, the question of whether existing normalizing flows provide effective representations for downstream tasks…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Shen Li , Bryan Hooi

Subspace clustering methods have been widely studied recently. When the inputs are 2-dimensional (2D) data, existing subspace clustering methods usually convert them into vectors, which severely damages inherent structures and relationships…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Chong Peng , Qian Zhang , Zhao Kang , Chenglizhao Chen , Qiang Cheng

In this paper, we explore dimension reduction for functional time series. We propose a generalized dynamic functional principal component analysis (GDFPCA) which does not rely on spectral density estimation and demonstrates strong empirical…

Methodology · Statistics 2026-02-24 Tzung Hsuen Khoo , Issa-Mbenard Dabo , Dharini Pathmanathan , Sophie Dabo-Niang

We present a pattern-recognition based approach to the problem of removal of polarized fringes from spectro-polarimetric data. We demonstrate that 2D Principal Component Analysis can be trained on a given spectro-polarimetric map in order…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 R. Casini , P. G. Judge , T. A. Schad

In this paper, we propose a novel framework named DRL-CPG to learn disentangled latent representation for controllable person image generation, which can produce realistic person images with desired poses and human attributes (e.g., pose,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Wenju Xu , Chengjiang Long , Yongwei Nie , Guanghui Wang

We present a new technique called contrastive principal component analysis (cPCA) that is designed to discover low-dimensional structure that is unique to a dataset, or enriched in one dataset relative to other data. The technique is a…

Machine Learning · Statistics 2017-11-23 Abubakar Abid , Martin J. Zhang , Vivek K. Bagaria , James Zou

Existing deep network-based full-reference image quality assessment (FR-IQA) models typically work by performing pairwise comparisons of deep features from the reference and distorted images. In this paper, we approach this problem from a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Zhen Zhang , Jielei Chu , Tian Zhang , Lin Ma , Fengmao Lv , Weide Liu , Tianrui Li , Yuming Fang

Advanced representation learning techniques require reliable and general evaluation methods. Recently, several algorithms based on the common idea of geometric and topological analysis of a manifold approximated from the learned data…

Machine Learning · Computer Science 2022-02-15 Petra Poklukar , Vladislav Polianskii , Anastasia Varava , Florian Pokorny , Danica Kragic

Many real-world machine learning applications are characterized by a huge number of features, leading to computational and memory issues, as well as the risk of overfitting. Ideally, only relevant and non-redundant features should be…

Machine Learning · Computer Science 2023-06-21 Paolo Bonetti , Alberto Maria Metelli , Marcello Restelli

Principal Component Analysis is a key technique for reducing the complexity of high-dimensional data while preserving its fundamental data structure, ensuring models remain stable and interpretable. This is achieved by transforming the…

Methodology · Statistics 2025-03-25 Nuwan Weeraratne , Lyn Hunt , Jason Kurz

As a new type of series expansion, the so-called one-dimensional adaptive Fourier decomposition (AFD) and its variations (1D-AFDs) have effective applications in signal analysis and system identification. The 1D-AFDs have considerable…

Numerical Analysis · Mathematics 2017-10-26 You Gao , Tao Qian , Vladimir Temlyakov , Long-fei Cao

Active Appearance Model (AAM) is a commonly used method for facial image analysis with applications in face identification and facial expression recognition. This paper proposes a new approach based on image alignment for AAM fitting called…

Computer Vision and Pattern Recognition · Computer Science 2015-11-23 Ali Mollahosseini , Mohammad H. Mahoor

Principal component analysis (PCA) is a popular dimension reduction technique often used to visualize high-dimensional data structures. In genomics, this can involve millions of variables, but only tens to hundreds of observations.…

Statistics Theory · Mathematics 2020-06-11 Kristoffer Hellton , Magne Thoresen

In this paper, a multi-resolution feature extraction algorithm for face recognition is proposed based on two-dimensional discrete wavelet transform (2D-DWT), which efficiently exploits the local spatial variations in a face image. For the…

Computer Vision and Pattern Recognition · Computer Science 2011-10-10 Hafiz Imtiaz , Shaikh Anowarul Fattah

Principal Component Analysis (PCA) finds the best linear representation of data, and is an indispensable tool in many learning and inference tasks. Classically, principal components of a dataset are interpreted as the directions that…

Optimization and Control · Mathematics 2019-12-24 Raphael A. Hauser , Armin Eftekhari

Principal component analysis is commonly used for dimensionality reduction, feature extraction, denoising, and visualization. The most commonly used principal component analysis method is based upon optimization of the L2-norm, however, the…

Emerging Technologies · Computer Science 2025-01-28 Ian Tomeo , Panos P. Markopoulos , Andreas Savakis

Most of existing blind omnidirectional image quality assessment (BOIQA) models rely on viewport generation by modeling user viewing behavior or transforming omnidirectional images (OIs) into varying formats; however, these methods are…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Jiebin Yan , Kangcheng Wu , Junjie Chen , Ziwen Tan , Yuming Fang

The quality of a face crop in an image is decided by many factors such as camera resolution, distance, and illumination condition. This makes the discrimination of face images with different qualities a challenging problem in realistic…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Youzhe Song , Feng Wang

We revisit the problem of fair principal component analysis (PCA), where the goal is to learn the best low-rank linear approximation of the data that obfuscates demographic information. We propose a conceptually simple approach that allows…

Machine Learning · Statistics 2023-02-28 Matthäus Kleindessner , Michele Donini , Chris Russell , Muhammad Bilal Zafar

Heterogeneous face recognition between color image and depth image is a much desired capacity for real world applications where shape information is looked upon as merely involved in gallery. In this paper, we propose a cross-modal deep…

Computer Vision and Pattern Recognition · Computer Science 2017-09-15 Wuming Zhang , Zhixin Shu , Dimitris Samaras , Liming Chen
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