Signal estimation | Dimension reduction

Independent component analysis

In signal processing, independent component analysis (ICA) is a computational method for separating a multivariate signal into additive subcomponents. This is done by assuming that at most one subcomponent is Gaussian and that the subcomponents are statistically independent from each other. ICA is a special case of blind source separation. A common example application is the "cocktail party problem" of listening in on one person's speech in a noisy room. (Wikipedia).

Independent component analysis
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Principal Component Analysis

http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Representing multivariate random signals using principal components. Principal component analysis identifies the basis vectors that describe the la

From playlist Random Signal Characterization

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Independent components analysis for removing artifacts

This lecturelet will illustrate one method of identifying independent components for removal. For more online courses about programming, data analysis, linear algebra, and statistics, see http://sincxpress.com/

From playlist OLD ANTS #6) Data pre-processing and cleaning

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(PP 6.2) Multivariate Gaussian - examples and independence

Degenerate multivariate Gaussians. Some sketches of examples and non-examples of Gaussians. The components of a Gaussian are independent if and only if they are uncorrelated.

From playlist Probability Theory

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(8.1.1) Systems of Autonomous Nonlinear Differential Equations and Phase Plane Analysis

This video defines autonomous systems of differential equations, how to analyze phase portraits and determine the equilibrium solutions. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

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Reliability 1: External reliability and rater reliability and agreement

In this video, I discuss external reliability, inter- and intra-rater reliability, and rater agreement.

From playlist Reliability analysis

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How to Determine if Functions are Linearly Independent or Dependent using the Definition

How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th

From playlist Zill DE 4.1 Preliminary Theory - Linear Equations

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An Introduction to Linear Regression Analysis

Tutorial introducing the idea of linear regression analysis and the least square method. Typically used in a statistics class. Playlist on Linear Regression http://www.youtube.com/course?list=ECF596A4043DBEAE9C Like us on: http://www.facebook.com/PartyMoreStudyLess Created by David Lon

From playlist Linear Regression.

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Algebra 2 2.01a - What is a Function

What is a function? The concept of a function is explained through the use of a specific example of Pressure versus Depth, and the idea of a dependent and an independent variable is discussed. This is the first video in Chapter 2 of the Algebra 2 course by Derek Owens. More info about t

From playlist Algebra 2 Chapter 2: Functions (Selected videos)

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Nonlinear Independent Component Analysis - Aapo Hyvärinen

Seminar on Theoretical Machine Learning Topic: Nonlinear Independent Component Analysis Speaker: Aapo Hyvärinen Affiliation: University of Helsinki Date: August 4, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Predictive Modelling Techniques | Data Science With R Tutorial

🔥 Advanced Certificate Program In Data Science: https://www.simplilearn.com/pgp-data-science-certification-bootcamp-program?utm_campaign=PredictiveModeling-0gf5iLTbiQM&utm_medium=Descriptionff&utm_source=youtube 🔥 Data Science Bootcamp (US Only): https://www.simplilearn.com/data-science-bo

From playlist R Programming For Beginners [2022 Updated]

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Eigendecomposition and PCA

Eigendecomposition is a technique that finds "special" vectors associated with square matrices. Eigendecomposition is the basis for many important techniques in data analysis, including principal components analyses, blind-source-separation, and other spatial filters. You'll also see a com

From playlist OLD ANTS #9) Matrix analysis

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QED Prerequisites Geometric Algebra 13 Tensors

In this lesson we make contact with the standard concept of tensors using spacetime algebra. Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lectures is: https://apps.apple.com/us/app/vittle-pro-video-whit

From playlist QED- Prerequisite Topics

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Neuroscience source separation 2a: Spatial separation

This is part two of a three-part lecture series I taught in a masters-level neuroscience course in fall of 2020 at the Donders Institute (the Netherlands). The lectures were all online in order to minimize the spread of the coronavirus. That's good for you, because now you can watch the en

From playlist Neuroscience source separation (3-part lecture series)

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Determine if the Functions are Linearly Independent or Linearly Dependent

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to determine if three functions are linearly independent or linearly dependent using the definition.

From playlist Differential Equations

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Xiao Fu - Multiview and Self-Supervised Representation Learning: Nonlinear Mixture Identification

Recorded 9 January 2023. Xiao Fu of Oregon State University presents "Understanding Multiview and Self-Supervised Representation Learning: A Nonlinear Mixture Identification Perspective" at IPAM's Explainable AI for the Sciences: Towards Novel Insights Workshop. Abstract: Central to repres

From playlist 2023 Explainable AI for the Sciences: Towards Novel Insights

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Lecture 15 | Machine Learning (Stanford)

Lecture by Professor Andrew Ng for Machine Learning (CS 229) in the Stanford Computer Science department. Professor Ng lectures on principal component analysis (PCA) and independent component analysis (ICA) in relation to unsupervised machine learning. This course provides a broad int

From playlist Lecture Collection | Machine Learning

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Finding structure in high dimensional data, methods and fundamental limitations - Boaz Nadler

Members' Seminar Topic: Finding structure in high dimensional data, methods and fundamental limitations Speaker: Boaz Nadler Affiliation: Weizmann Institute of Science; Member, School of Mathematics Date: October 14, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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Using Variables in Science – The Foundations of Statistical Analysis and Scientific Testing (1-5)

Continuing our discussion about variables, you will learn how variables are used in science. Specifically, when we do statistics, we need independent and dependent variables. Independent variables are often categorical (groups) and dependent variables are typically measured on a scale. You

From playlist WK1 Numbers and Variables - Online Statistics for the Flipped Classroom

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19 Data Analytics: Principal Component Analysis

Lecture on unsupervised machine learning with principal component analysis for dimensional reduction, inference and prediction.

From playlist Data Analytics and Geostatistics

Related pages

Kernel-independent component analysis | Branch and bound | Signal processing | Dimensionality reduction | Mutual information | Probability density function | Sample mean | Blind signal separation | Infomax | Hilbert spectrum | Principal component analysis | Differential entropy | Blind deconvolution | Factor analysis | Central limit theorem | Dynamic programming | Singular value decomposition | Entropy | Round number | Non-negative matrix factorization | Negentropy | Regularization (mathematics) | Kullback–Leibler divergence | Variance | Principle of maximum entropy | Multivariate statistics | Nonlinear dimensionality reduction | Varimax rotation | Factorial code | Projection pursuit | Gradient descent | Whitening transformation | Scikit-learn | FastICA | Kurtosis | Rank (linear algebra)