Nonparametric statistics | Factor analysis
Functional principal component analysis (FPCA) is a statistical method for investigating the dominant modes of variation of functional data. Using this method, a random function is represented in the eigenbasis, which is an orthonormal basis of the Hilbert space L2 that consists of the eigenfunctions of the autocovariance operator. FPCA represents functional data in the most parsimonious way, in the sense that when using a fixed number of basis functions, the eigenfunction basis explains more variation than any other basis expansion. FPCA can be applied for representing random functions, or in functional regression and classification. (Wikipedia).
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
The Benefits of Functional Architectures | Systems Engineering, Part 3
See the other videos in this series: https://www.youtube.com/playlist?list=PLn8PRpmsu08owzDpgnQr7vo2O-FUQm_fL Functional, logical, and physical architectures are important tools for designing complex systems. We describe what architectures are and how they contribute to the early stages of
From playlist Systems Engineering
Principal Component Analysis (The Math) : Data Science Concepts
Let's explore the math behind principal component analysis! --- Like, Subscribe, and Hit that Bell to get all the latest videos from ritvikmath ~ --- Check out my Medium: https://medium.com/@ritvikmathematics
From playlist Data Science Concepts
read this to learn functional analysis
read this to learn functional analysis Here is the book on amazon: https://amzn.to/2pMYOql (note this is my affiliate link, I earn a small percentage from qualifying purchases) Do you want to learn functional analysis? In this video I talk about the book that I used to learn this amazing
From playlist Cool Math Stuff
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
Dimensionality Reduction: Principal Components Analysis, Part 1
Data Science for Biologists Dimensionality Reduction: Principal Components Analysis Part 1 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton
From playlist Data Science for Biologists
The Essence of Functional Programming
This talk dives into the origins of functional programming, going all the way back to where the term was first introduced, to see how it evolved over time into our modern understanding of what FP essentially involves. PUBLICATION PERMISSIONS: Original video was published with the Creative
From playlist Functional Programming
Principal Component Analysis (PCA)
Principal component analysis (PCA) is a workhorse algorithm in statistics, where dominant correlation patterns are extracted from high-dimensional data. Book PDF: http://databookuw.com/databook.pdf Book Website: http://databookuw.com These lectures follow Chapter 1 from: "Data-Driven S
From playlist Data-Driven Science and Engineering
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
Deep Learning Lecture 6.3 - PCA part 2
Principal Component Analysis - PCA Algorithm - Properties of PCA - Equivalence between maximum projection variance and minimal reconstruction error - Applications to images
From playlist Deep Learning Lecture
Data Analysis 6: Principal Component Analysis (PCA) - Computerphile
PCA - Principle Component Analysis - finally explained in an accessible way, thanks to Dr Mike Pound. This is part 6 of the Data Analysis Learning Playlist: https://www.youtube.com/playlist?list=PLzH6n4zXuckpfMu_4Ff8E7Z1behQks5ba This Learning Playlist was designed by Dr Mercedes Torres
From playlist Data Analysis with Dr Mike Pound
Essentials of Neuroscience with MATLAB: Module 5-7 (Ca+ imaging)
You will learn about working with calcium imaging data, including image processing to remove background "blur," identifying cells based on thresholded spatial contiguity, time series filtering, and principal components analysis (PCA). The MATLAB code shows data animations, capabilities of
From playlist Essentials of neuroscience with MATLAB
Lecture 15A : From Principal Components Analysis to Autoencoders
Neural Networks for Machine Learning by Geoffrey Hinton [Coursera 2013] Lecture 15A : From Principal Components Analysis to Autoencoders
From playlist Neural Networks for Machine Learning by Professor Geoffrey Hinton [Complete]
Lecture 15.1 — From PCA to autoencoders [Neural Networks for Machine Learning]
Lecture from the course Neural Networks for Machine Learning, as taught by Geoffrey Hinton (University of Toronto) on Coursera in 2012. Link to the course (login required): https://class.coursera.org/neuralnets-2012-001
From playlist [Coursera] Neural Networks for Machine Learning — Geoffrey Hinton
Lecture 15/16 : Modeling hierarchical structure with neural nets
Neural Networks for Machine Learning by Geoffrey Hinton [Coursera 2013] 15A From Principal Components Analysis to Autoencoders 15B Deep Autoencoders 15C Deep autoencoders for document retrieval and visualization 15D Semantic hashing 15E Learning binary codes for image retrieval 15F Shallo
From playlist Neural Networks for Machine Learning by Professor Geoffrey Hinton [Complete]
Functional Analysis Lecture 19 2014 04 03 : Fundamental Solution of the Heat Operator
Heat kernel; heat operator. Facts about the heat kernel. Fundamental solution of the heat operator. Fundamental solution of a general linear PDE with constant coefficients.
From playlist Course 9: Basic Functional and Harmonic Analysis