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In this research, we reveal the inborn but hitherto ignored properties of quantitative differential phase contrast (qDPC) imaging: the phase transfer function being an edge detection filter. Inspired by this, we highlighted the duality of…

Optimization and Control · Mathematics 2023-06-30 Shuhe Zhang , Hao Wu , Tao Peng , Zeyu Ke , Meng Shao , Tos T. J. M. Berendschot , Jinhua Zhou

Principal component analysis (PCA) is a fundamental technique for dimensionality reduction and denoising; however, its application to three-dimensional data with arbitrary orientations -- common in structural biology -- presents significant…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Michael Fraiman , Paulina Hoyos , Tamir Bendory , Joe Kileel , Oscar Mickelin , Nir Sharon , Amit Singer

This paper presents multi-appearance fusion of Principal Component Analysis (PCA) and generalization of Linear Discriminant Analysis (LDA) for multi-camera view offline face recognition (verification) system. The generalization of LDA has…

Computer Vision and Pattern Recognition · Computer Science 2010-03-31 Dakshina Ranjan Kisku , Hunny Mehrotra , Phalguni Gupta , Jamuna Kanta Sing

Deep learning applies multiple processing layers to learn representations of data with multiple levels of feature extraction. This emerging technique has reshaped the research landscape of face recognition (FR) since 2014, launched by the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Mei Wang , Weihong Deng

We present a low-rank transformation approach to compensate for face variations due to changes in visual domains, such as pose and illumination. The key idea is to learn discriminative linear transformations for face images using matrix…

Computer Vision and Pattern Recognition · Computer Science 2013-08-02 Qiang Qiu , Guillermo Sapiro , Ching-Hui Chen

We introduce a method for deterministic decoupling of global features and show its applicability to improve data analysis performance, as well as to open new venues for feature transfer. We propose a new formalism that is based on defining…

Machine Learning · Computer Science 2022-07-06 Eduardo Martinez-Enriquez , Maria del Mar Gonzalez , Javier Portilla

We propose a new fast generalized functional principal components analysis (fast-GFPCA) algorithm for dimension reduction of non-Gaussian functional data. The method consists of: (1) binning the data within the functional domain; (2)…

Methodology · Statistics 2023-06-06 Andrew Leroux , Ciprian Crainiceanu , Julia Wrobel

We consider the following multi-component sparse PCA problem: given a set of data points, we seek to extract a small number of sparse components with disjoint supports that jointly capture the maximum possible variance. These components can…

We consider multi-class classification problems for high dimensional data. Following the idea of reduced-rank linear discriminant analysis (LDA), we introduce a new dimension reduction tool with a flavor of supervised principal component…

Methodology · Statistics 2017-03-28 Yue Selena Niu , Ning Hao , Bin Dong

Over the last decades, hand-crafted feature extractors have been used to encode image visual properties into feature vectors. Recently, data-driven feature learning approaches have been successfully explored as alternatives for producing…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Érico M. Pereira , Ricardo da S. Torres , Jefersson A. dos Santos

In this paper, we propose a probabilistic model for computing an interpolative decomposition (ID) in which each column of the observed matrix has its own priority or importance, so that the end result of the decomposition finds a set of…

Machine Learning · Computer Science 2022-09-30 Jun Lu , Joerg Osterrieder

Robustness of embedded biometric systems is of prime importance with the emergence of fourth generation communication devices and advancement in security systems This paper presents the realization of such technologies which demands…

Computer Vision and Pattern Recognition · Computer Science 2012-04-06 Aamir Khan , Hasan Farooq

We present an algorithm, Decision-Directed Data Decomposition (D4), which decomposes a dataset into two components. The first contains most of the useful information for a specified supervised learning task. The second orthogonal component…

Machine Learning · Computer Science 2020-03-12 Brent D. Davis , Ethan Jackson , Daniel J. Lizotte

We present a novel approach for adaptive, differentiable parameterization of large-scale random fields. If the approach is coupled with any gradient-based optimization algorithm, it can be applied to a variety of optimization problems,…

Machine Learning · Computer Science 2020-06-09 Maksim Elizarev , Andrei Mukhin , Aleksey Khlyupin

This paper presents a new proposal of an efficient computational model of face recognition which uses cues from the distributed face recognition mechanism of the brain, and by gathering engineering equivalent of these cues from existing…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Pinaki Roy Chowdhury , Angad Wadhwa , Nikhil Tyagi

Principal component analysis (PCA) is perhaps the most widely used method for data dimensionality reduction. A key question in PCA is deciding how many factors to retain. This manuscript describes a new approach to automatically selecting…

Methodology · Statistics 2026-02-10 Enes Makalic , Daniel F. Schmidt

Multimedia data, particularly images and videos, is integral to various applications, including surveillance, visual interaction, biometrics, evidence gathering, and advertising. However, amateur or skilled counterfeiters can simulate them…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Kutub Uddin , Nusrat Tasnim , Byung Tae Oh

Dimension reduction and visualization is a staple of data analytics. Methods such as Principal Component Analysis (PCA) and Multidimensional Scaling (MDS) provide low dimensional (LD) projections of high dimensional (HD) data while…

Methodology · Statistics 2017-09-21 J. T. Fry , Matt Slifko , Scotland Leman

Matrix factor models have been growing popular dimension reduction tools for large-dimensional matrix time series. However, the heteroscedasticity of the idiosyncratic components has barely received any attention. Starting from the pseudo…

Statistics Theory · Mathematics 2024-12-03 Yong He , Yujie Hou , Haixia Liu , Yalin Wang

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
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