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The human visual system has a hierarchical structure consisting of layers of processing, such as the retina, V1, V2, etc. Understanding the functional roles of these visual processing layers would help to integrate the psychophysiological…

计算机视觉与模式识别 · 计算机科学 2014-12-19 Honghao Shan , Garrison Cottrell

Independent component analysis (ICA) is a statistical method for transforming an observable multidimensional random vector into components that are as statistically independent as possible from each other.Usually the ICA framework assumes a…

信息论 · 计算机科学 2015-08-21 Amichai Painsky , Saharon Rosset , Meir Feder

Independent component analysis (ICA) is a statistical method for transforming an observable multi-dimensional random vector into components that are as statistically independent as possible from each other. Usually the ICA framework assumes…

机器学习 · 统计学 2018-11-21 Amichai Painsky

Independent Component Analysis (ICA) is a statistical tool that decomposes an observed random vector into components that are as statistically independent as possible. ICA over finite fields is a special case of ICA, in which both the…

机器学习 · 统计学 2018-11-14 Amichai Painsky , Saharon Rosset , Meir Feder

Independent component analysis (ICA) is a fundamental statistical tool used to reveal hidden generative processes from observed data. However, traditional ICA approaches struggle with the rotational invariance inherent in Gaussian…

机器学习 · 计算机科学 2024-08-21 Ignavier Ng , Yujia Zheng , Xinshuai Dong , Kun Zhang

Sparse principal component analysis (sPCA) enhances the interpretability of principal components (PCs) by imposing sparsity constraints on loading vectors (LVs). However, when used as a precursor to independent component analysis (ICA) for…

计算机视觉与模式识别 · 计算机科学 2024-11-20 Muhammad Usman Khalid

Classical models describe primary visual cortex (V1) as a filter bank of orientation-selective linear-nonlinear (LN) or energy models, but these models fail to predict neural responses to natural stimuli accurately. Recent work shows that…

Optical Coherence Tomography (OCT) is an emerging technique in the field of biomedical imaging, with applications in ophthalmology, dermatology, coronary imaging etc. OCT images usually suffer from a granular pattern, called speckle noise,…

计算机视觉与模式识别 · 计算机科学 2016-05-25 Ahmadreza Baghaie , Roshan M. D'souza , Zeyun Yu

We generalize the low-rank decomposition problem, such as principal and independent component analysis (PCA, ICA) for continuous-time vector-valued signals and provide a model-agnostic implicit neural signal representation framework to…

机器学习 · 计算机科学 2025-07-15 Shayan K. Azmoodeh , Krishna Subramani , Paris Smaragdis

Independent Component Analysis (ICA) is a fundamental unsupervised learning technique foruncovering latent structure in data by separating mixed signals into their independent sources. While substantial progress has been made in…

机器学习 · 计算机科学 2026-04-13 Yuwen Jiang

Finding overcomplete latent representations of data has applications in data analysis, signal processing, machine learning, theoretical neuroscience and many other fields. In an overcomplete representation, the number of latent features…

机器学习 · 计算机科学 2021-06-10 Jesse A. Livezey , Alejandro F. Bujan , Friedrich T. Sommer

Kurtosis-based Independent Component Analysis (ICA) weakens in wide, balanced mixtures. We prove a sharp redundancy law: for a standardized projection with effective width $R_{\mathrm{eff}}$ (participation ratio), the population excess…

机器学习 · 计算机科学 2026-02-27 Yuda Bi , Wenjun Xiao , Linhao Bai , Vince D Calhoun

Independent Component Analysis (ICA) - one of the basic tools in data analysis - aims to find a coordinate system in which the components of the data are independent. Most of existing methods are based on the minimization of the function of…

统计理论 · 数学 2017-02-01 Przemysław Spurek , Jacek Tabor , Przemysław Rola , Michał Ociepka

Sparse coding has been incorporated in models of the visual cortex for its computational advantages and connection to biology. But how the level of sparsity contributes to performance on visual tasks is not well understood. In this work,…

计算机视觉与模式识别 · 计算机科学 2022-01-19 Joshua Bowren , Luis Sanchez-Giraldo , Odelia Schwartz

Independent component analysis (ICA) is a widely used BSS method that can uniquely achieve source recovery, subject to only scaling and permutation ambiguities, through the assumption of statistical independence on the part of the latent…

机器学习 · 统计学 2018-01-29 Zois Boukouvalas

Variational models with coupling terms are becoming increasingly popular in image analysis. They involve auxiliary variables, such that their energy minimisation splits into multiple fractional steps that can be solved easier and more…

计算机视觉与模式识别 · 计算机科学 2019-12-13 Aaron Wewior , Joachim Weickert

Independent Component Analysis (ICA) is a classical method for recovering latent variables with useful identifiability properties. For independent variables, cumulant tensors are diagonal; relaxing independence yields tensors whose zero…

统计理论 · 数学 2025-10-10 Alvaro Ribot , Anna Seigal , Piotr Zwiernik

Principal Components Analysis (PCA) and Independent Component Analysis (ICA) are used to identify global patterns in solar and space data. PCA seeks orthogonal modes of the two-point correlation matrix constructed from a data set. It…

天体物理学 · 物理学 2009-11-13 A. C. Cadavid , J. K. Lawrence , A. Ruzmaikin

Independent Component Analysis (ICA) is a foundational tool for unsupervised representation learning, yet its high-dimensional theory remains largely limited to single-component recovery. We develop an asymptotically exact mean-field theory…

机器学习 · 统计学 2026-05-12 Eser Ilke Genc , Samet Demir , Zafer Dogan

Independent component analysis (ICA) is a widely used method in various applications of signal processing and feature extraction. It extends principal component analysis (PCA) and can extract important and complicated components with small…

机器学习 · 计算机科学 2025-09-17 Yoshitatsu Matsuda , Kazunori Yamaguch
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