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Principal Component Analysis (PCA) is a method for estimating a subspace given noisy samples. It is useful in a variety of problems ranging from dimensionality reduction to anomaly detection and the visualization of high dimensional data.…

统计理论 · 数学 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Independent component analysis (ICA) is a fundamental data processing technique to decompose the captured signals into as independent as possible components. Computing the contrast function, which serves as a measure of independence of…

量子物理 · 物理学 2023-11-22 Xiao-Fan Xu , Cheng Xue , Zhao-Yun Chen , Yu-Chun Wu , Guo-Ping Guo

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

The design and performance of a sensitive and reliable cross-correlation spectrum analyzer for studying low frequency transport noise is described in detail. The design makes use of common PC-based data acquisition hardware and…

仪器与探测器 · 物理学 2014-08-12 Xing Zhong , Sahar Keshavarz , Josh Jones , Claudia Mewes , Patrick R. LeClair

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

Inverse optimal control (IOC) aims to estimate the underlying cost that governs the observed behavior of an expert system. However, in practical scenarios, the collected data is often corrupted by noise, which poses significant challenges…

最优化与控制 · 数学 2026-02-10 Ziliang Wang , Axel Ringh , Han Zhang

Independent component analysis (ICA) is a cornerstone of modern data analysis. Its goal is to recover a latent random vector S with independent components from samples of X=AS where A is an unknown mixing matrix. Critically, all existing…

机器学习 · 统计学 2018-04-04 Nilin Abrahamsen , Philippe Rigollet

We present a new method for the separation of superimposed, independent, auto-correlated components from noisy multi-channel measurement. The presented method simultaneously reconstructs and separates the components, taking all channels…

统计方法学 · 统计学 2018-02-14 Jakob Knollmüller , Torsten A. Enßlin

Independent Component Analysis (ICA) is commonly-used in electroencephalogram (EEG) signal processing to remove non-cerebral artifacts from cerebral data. Despite the ubiquity of ICA, the effect of measurement uncertainty on the artifact…

系统与控制 · 电气工程与系统科学 2024-10-07 Jennie Couchman , Orestis Kaparounakis , Chatura Samarakoon , Phillip Stanley-Marbell

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

Recently years, the attempts on distilling mobile data into useful knowledge has been led to the deployment of machine learning algorithms at the network edge. Principal component analysis (PCA) is a classic technique for extracting the…

信息论 · 计算机科学 2022-04-04 Zezhong Zhang , Guangxu Zhu , Rui Wang , Vincent K. N. Lau , Kaibin Huang

The extended infomax algorithm for independent component analysis (ICA) can separate sub- and super-Gaussian signals but converges slowly as it uses stochastic gradient optimization. In this paper, an improved extended infomax algorithm is…

统计方法学 · 统计学 2024-04-10 Nicole Ille

The gravitational wave detectors used by the LIGO Scientific Collaboration, and the Virgo Collaboration are incredibly sensitive instruments which frequently detect non-stationary, non-Gaussian noise transients. iDQ is a statistical…

广义相对论与量子宇宙学 · 物理学 2024-12-09 Rachael Huxford , Richard George , Max Trevor , Zach Yarbrough , Patrick Godwin

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

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…

机器学习 · 统计学 2025-12-02 Song Liu

The electroencephalogram (EEG) provides a non-invasive, minimally restrictive, and relatively low cost measure of mesoscale brain dynamics with high temporal resolution. Although signals recorded in parallel by multiple, near-adjacent EEG…

信号处理 · 电气工程与系统科学 2021-11-30 Luca Pion-Tonachini , Ken Kreutz-Delgado , Scott Makeig

In this paper, we conduct a detailed investigation on the effect of independent component (IC)-based noise rejection methods in neural network classifier-based decoding of electroencephalography (EEG) data in different task datasets. We…

人机交互 · 计算机科学 2026-05-08 Taeho Kang , Yiyu Chen , Christian Wallraven

Independent Component Analysis (ICA) is an algorithm originally developed for finding separate sources in a mixed signal, such as a recording of multiple people in the same room speaking at the same time. Unlike Principal Component Analysis…

计算与语言 · 计算机科学 2024-09-05 Tomáš Musil , David Mareček

Independent component analysis (ICA) has been a popular dimension reduction tool in statistical machine learning and signal processing. In this paper, we present a convergence analysis for an online tensorial ICA algorithm, by viewing the…

机器学习 · 计算机科学 2021-07-30 Chris Junchi Li , Michael I. Jordan

Independent component analysis (ICA) is a powerful computational tool for separating independent source signals from their linear mixtures. ICA has been widely applied in neuroimaging studies to identify and characterize underlying brain…

应用统计 · 统计学 2015-05-01 Ran Shi , Ying Guo