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A recently proposed mutual information based algorithm for decomposing data into least dependent components (MILCA) is applied to spectral analysis, namely to blind recovery of concentrations and pure spectra from their linear mixtures. The…

数据分析、统计与概率 · 物理学 2007-07-13 Sergey A. Astakhov , Harald Stögbauer , Alexander Kraskov , Peter Grassberger

Independent component analysis (ICA) is a blind source separation method to recover source signals of interest from their mixtures. Most existing ICA procedures assume independent sampling. Second-order-statistics-based source separation…

机器学习 · 统计学 2022-12-14 Seonjoo Lee , Haipeng Shen , Young K. Truong

Application of independent component analysis (ICA) as an unmixing and image clustering technique for high spatial resolution Raman maps is reported. A hyperspectral map of a fixed human cell was collected by a Raman micro spectrometer in a…

定量方法 · 定量生物学 2022-01-02 M. Hamed Mozaffari , Li-Lin Tay

Independent component analysis (ICA) is a blind source separation method for linear disentanglement of independent latent sources from observed data. We investigate the special setting of noisy linear ICA where the observations are split…

机器学习 · 计算机科学 2023-03-06 Teodora Pandeva , Patrick Forré

Independent component analysis (ICA) has been widely used for blind source separation in many fields such as brain imaging analysis, signal processing and telecommunication. Many statistical techniques based on M-estimates have been…

统计方法学 · 统计学 2009-09-29 Aiyou Chen , Peter J. Bickel

Background: Independent Component Analysis (ICA) is a widespread tool for exploration and denoising of electroencephalography (EEG) or magnetoencephalography (MEG) signals. In its most common formulation, ICA assumes that the signal matrix…

信号处理 · 电气工程与系统科学 2020-08-25 Pierre Ablin , Jean-François Cardoso , Alexandre Gramfort

Blind source separation (BSS), particularly independent component analysis (ICA), has been widely used in various fields of science such as biomedical signal processing to recover latent source signals from the observed mixture. While ICA…

统计方法学 · 统计学 2026-01-14 Miro Arvila , Klaus Nordhausen , Mika Sipilä , Sara Taskinen

[Abridged] An increasing number of astronomical instruments (on Earth and space-based) provide hyperspectral images, that is three-dimensional data cubes with two spatial dimensions and one spectral dimension. The intrinsic limitation in…

天体物理仪器与方法 · 物理学 2021-03-17 Axel Boulais , Olivier Berné , Guillaume Faury , Yannick Deville

Independent component analysis (ICA) is a computational method for separating a multivariate signal into subcomponents assuming the mutual statistical independence of the non-Gaussian source signals. The classical Independent Components…

信息论 · 计算机科学 2015-05-19 Huy Nguyen , Rong Zheng

This paper introduces a novel statistical framework for independent component analysis (ICA) of multivariate data. We propose methodology for estimating and testing the existence of mutually independent components for a given dataset, and a…

统计方法学 · 统计学 2013-06-21 David S. Matteson , Ruey S. Tsay

NMR spectral datasets, especially in systems with limited samples, can be difficult to interpret if they contain multiple chemical components (phases, polymorphs, molecules, crystals, glasses, etc...) and the possibility of overlapping…

信号处理 · 电气工程与系统科学 2020-02-11 Ryan J. McCarty , Nimish Ronghe , Mandy Woo , Todd M. Alam

We develop a new formalism for the component separation method Spectral Matching Independent Component Analysis (SMICA) in order to include the information contained in the foregrounds beyond second-order statistics. We also develop a…

宇宙学与河外天体物理 · 物理学 2026-05-19 M. Citran , H. V. Tran , G. Patanchon , B. van Tent

We develop a new neural network based independent component analysis (ICA) method by directly minimizing the dependence amongst all extracted components. Using the matrix-based R{\'e}nyi's $\alpha$-order entropy functional, our network can…

图像与视频处理 · 电气工程与系统科学 2022-02-16 Hongming Li , Shujian Yu , Jose C. Principe

We make use of a large set of fast simulations of an intensity mapping experiment with characteristics similar to those expected of the Square Kilometre Array (SKA) in order to study the viability and limits of blind foreground subtraction…

宇宙学与河外天体物理 · 物理学 2015-06-23 David Alonso , Philip Bull , Pedro G. Ferreira , Mario G. Santos

Blind source separation, particularly through independent component analysis (ICA), is widely utilized across various signal processing domains for disentangling underlying components from observed mixed signals, owing to its fully…

统计方法学 · 统计学 2026-01-06 Qiang Li , Shujian Yu , Liang Ma , Chen Ma , Jingyu Liu , Tulay Adali , Vince D. Calhoun

Interpreting spectroscopy data is a critical bottleneck in automating chemical research and industrial characterization. Particularly within infrared (IR) spectroscopy, identifying compounds in complex, liquid-phase chemical mixtures…

材料科学 · 物理学 2026-02-26 Yannah J. U. Melle , Thanh Nguyen , Jeffrey Lopez , Daniel Schwalbe-Koda

Independent Component Analysis (ICA) is a statistical method often used to decompose a complex dataset in its independent sub-parts. It is a powerful technique to solve a typical Blind Source Separation problem. A fast calculation of the…

天体物理学 · 物理学 2007-05-23 C. Cecchi , F. Marcucci , G. Tosti

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…

信息检索 · 计算机科学 2007-05-23 Jian Ma , Zengqi Sun

Independent component analysis (ICA) is a powerful tool for decomposing a multivariate signal or distribution into fully independent sources, not just uncorrelated ones. Unfortunately, most approaches to ICA are not robust against outliers.…

统计计算 · 统计学 2025-05-15 Sarah Leyder , Jakob Raymaekers , Peter J. Rousseeuw , Tom Van Deuren , Tim Verdonck

In this paper, we apply a new statistical analysis technique, Mean Field approach to Bayesian Independent Component Analysis (MF-ICA), on galaxy spectral analysis. This algorithm can compress the stellar spectral library into a few…

星系天体物理 · 物理学 2016-03-16 Ning Hu , Shan-Shan Su , Xu Kong
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