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Principal component analysis (PCA) is a classical dimension reduction method which projects data onto the principal subspace spanned by the leading eigenvectors of the covariance matrix. However, it behaves poorly when the number of…

Statistics Theory · Mathematics 2013-05-27 Zongming Ma

Purpose of Review Recently, machine learning has developed rapidly in the field of medicine, playing an important role in disease diagnosis. Our aim of this paper is to provide an overview of the advancements in machine learning techniques…

Medical Physics · Physics 2024-05-15 Pukar Baral , Chen Zhao , Michele Esposito , Weihua Zhou

Principal component analysis (PCA) has been widely applied to dimensionality reduction and data pre-processing for different applications in engineering, biology and social science. Classical PCA and its variants seek for linear projections…

Machine Learning · Computer Science 2017-07-11 Xiaojun Chang , Feiping Nie , Yi Yang , Heng Huang

Dimensionality reduction is an important step in processing the hyperspectral images (HSI) to overcome the curse of dimensionality problem. Linear dimensionality reduction methods such as Independent component analysis (ICA) and Linear…

Machine Learning · Statistics 2021-07-15 Chippy Jayaprakash , Bharath Bhushan Damodaran , Sowmya V , K P Soman

An important goal of medical imaging is to be able to precisely detect patterns of disease specific to individual scans; however, this is challenged in brain imaging by the degree of heterogeneity of shape and appearance. Traditional…

The robust PCA problem, wherein, given an input data matrix that is the superposition of a low-rank matrix and a sparse matrix, we aim to separate out the low-rank and sparse components, is a well-studied problem in machine learning. One…

Machine Learning · Computer Science 2017-07-06 U. N. Niranjan , Arun Rajkumar , Theja Tulabandhula

Latent variable discovery is a central problem in data analysis with a broad range of applications in applied science. In this work, we consider data given as an invertible mixture of two statistically independent components and assume that…

Machine Learning · Statistics 2023-03-08 Uri Shaham , Jonathan Svirsky , Ori Katz , Ronen Talmon

We consider the problem of recovering a common latent source with independent components from multiple views. This applies to settings in which a variable is measured with multiple experimental modalities, and where the goal is to…

Machine Learning · Statistics 2019-08-02 Luigi Gresele , Paul K. Rubenstein , Arash Mehrjou , Francesco Locatello , Bernhard Schölkopf

A framework named Copula Component Analysis (CCA) for blind source separation is proposed as a generalization of Independent Component Analysis (ICA). It differs from ICA which assumes independence of sources that the underlying components…

Information Retrieval · Computer Science 2007-05-23 Jian Ma , Zengqi Sun

Composed Image Retrieval (CIR) represents a novel retrieval paradigm that is capable of expressing users' intricate retrieval requirements flexibly. It enables the user to give a multimodal query, comprising a reference image and a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Zhiwei Chen , Yupeng Hu , Zixu Li , Zhiheng Fu , Xuemeng Song , Liqiang Nie

Deep neural networks learn structured features from complex, non-Gaussian inputs, but the mechanisms behind this process remain poorly understood. Our work is motivated by the observation that the first-layer filters learnt by deep…

Machine Learning · Statistics 2025-07-14 Fabiola Ricci , Lorenzo Bardone , Sebastian Goldt

Independent component analysis (ICA) is a method to extract a set of time-series data using ``statistical independency" of each component. We applied ICA to extract gravitational wave (GW) signals directly from the detector data. Our idea…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Rika Shimomura , Yuuichi Tabe , Hisaaki Shinkai

In the last two decades, unsupervised latent variable models---blind source separation (BSS) especially---have enjoyed a strong reputation for the interpretable features they produce. Seldom do these models combine the rich diversity of…

Machine Learning · Statistics 2019-11-12 Rogers F. Silva , Sergey M. Plis , Tulay Adali , Marios S. Pattichis , Vince D. Calhoun

Full-reference image quality assessment (FR-IQA) models generally operate by measuring the visual differences between a degraded image and its reference. However, existing FR-IQA models including both the classical ones (eg, PSNR and SSIM)…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Kang Xiao , Xu Wang , Yulin He , Baoliang Chen , Xuelin Shen

Prediction problems from spectra are largely encountered in chemometry. In addition to accurate predictions, it is often needed to extract information about which wavelengths in the spectra contribute in an effective way to the quality of…

Neural and Evolutionary Computing · Computer Science 2008-02-05 Catherine Krier , Fabrice Rossi , Damien François , Michel Verleysen

We study the problem of learning disentangled signals from data using non-linear Independent Component Analysis (ICA). Motivated by advances in self-supervised learning, we propose to learn self-sufficient signals: A recovered signal should…

Machine Learning · Statistics 2025-12-02 Song Liu

Independent Mechanism Analysis (IMA) seeks to address non-identifiability in nonlinear Independent Component Analysis (ICA) by assuming that the Jacobian of the mixing function has orthogonal columns. As typical in ICA, previous work…

Machine Learning · Statistics 2023-12-22 Shubhangi Ghosh , Luigi Gresele , Julius von Kügelgen , Michel Besserve , Bernhard Schölkopf

We present an algorithm for creating high resolution anatomically plausible images consistent with acquired clinical brain MRI scans with large inter-slice spacing. Although large data sets of clinical images contain a wealth of…

Computer Vision and Pattern Recognition · Computer Science 2019-03-14 Adrian V. Dalca , Katherine L. Bouman , William T. Freeman , Natalia S. Rost , Mert R. Sabuncu , Polina Golland

Image Quality Assessment (IQA) algorithms evaluate the perceptual quality of an image using evaluation scores that assess the similarity or difference between two images. We propose a new low-level feature based IQA technique, which applies…

Multimedia · Computer Science 2017-12-04 Navaneeth K. Kottayil , Irene Cheng , Frederic Dufaux , Anup Basu

This study introduces a novel unsupervised medical image feature extraction method that employs spatial stratification techniques. An objective function based on weight is proposed to achieve the purpose of fast image recognition. The…

Image and Video Processing · Electrical Eng. & Systems 2024-06-28 Qishi Zhan , Dan Sun , Erdi Gao , Yuhan Ma , Yaxin Liang , Haowei Yang
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