Regression analysis | Matrices

Projection matrix

In statistics, the projection matrix , sometimes also called the influence matrix or hat matrix , maps the vector of response values (dependent variable values) to the vector of fitted values (or predicted values). It describes the influence each response value has on each fitted value. The diagonal elements of the projection matrix are the leverages, which describe the influence each response value has on the fitted value for that same observation. (Wikipedia).

Projection matrix
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Vector Projection

This video explains how to determine the projection of one vector onto another vector. http://mathispower4u.yolasite.com/

From playlist Vectors

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Projection of vectors

What is the projection of one vector on another one and how is it useful? Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/CpZUX1mFLS

From playlist Introduction to Vectors

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What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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Ex: Vector Projection in Three Dimensions

This video explains how to determine the projection of one vector onto another vector in three dimensions. Site: http://mathispower4u.com

From playlist Vectors in Space (3D)

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Projections (video 6): Outro

Recordings of the corresponding course on Coursera. If you are interested in exercises and/or a certificate, have a look here: https://www.coursera.org/learn/pca-machine-learning

From playlist Projections

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Ex: Vector Projection in Two Dimensions

This video explains how to determine the projection of one vector onto another vector in two dimensions. Site: http://mathispower4u.com

From playlist Applications of Vectors

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Multivariable Calculus | The projection of a vector.

We define the projection of a vector in a certain direction. As an application we decompose a vector into the sum of a parallel and orthogonal component. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Vectors for Multivariable Calculus

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Projections (video 5): Example N-dimensional Projections

Recordings of the corresponding course on Coursera. If you are interested in exercises and/or a certificate, have a look here: https://www.coursera.org/learn/pca-machine-learning

From playlist Projections

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Projections (video 4): N-dimensional projections

Recordings of the corresponding course on Coursera. If you are interested in exercises and/or a certificate, have a look here: https://www.coursera.org/learn/pca-machine-learning

From playlist Projections

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15. Projections onto Subspaces

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 15. Projections onto Subspaces License: Creative Commons BY-NC-SA More information at https://

From playlist MIT 18.06 Linear Algebra, Spring 2005

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Live Stream #148.1: 3D Rendering Basics

Drawing 3D shapes on 2D canvas. 🎥 Part 2: https://youtu.be/M_YNwb7UudI 7:53 - Matrix Multiplication 54:45 - Coding Challenge: Cube Projected on 2D Screen 🔗 Matrix Multiplication: http://matrixmultiplication.xyz 🔗 Rotation Matrix on Wikipedia: https://en.wikipedia.org/wiki/Rotation_matri

From playlist Live Stream Archive

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30. Linear Transformations and Their Matrices

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 30. Linear Transformations and Their Matrices License: Creative Commons BY-NC-SA More informat

From playlist MIT 18.06 Linear Algebra, Spring 2005

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Another example of a projection matrix | Linear Algebra | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/orthogonal-projections/v/lin-alg-another-example-of-a-projection-matrix Figuring out the transformation matrix for a projection onto

From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

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24b. Quiz 2 Review

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 24b. Quiz 2 Review License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/

From playlist MIT 18.06 Linear Algebra, Spring 2005

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OpenGL - model transform and projection

Code samples derived from work by Joey de Vries, @joeydevries, author of https://learnopengl.com/ All code samples, unless explicitly stated otherwise, are licensed under the terms of the CC BY-NC 4.0 license as published by Creative Commons, either version 4 of the License, or (at your o

From playlist OpenGL

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Linformer: Self-Attention with Linear Complexity (Paper Explained)

Transformers are notoriously resource-intensive because their self-attention mechanism requires a squared number of memory and computations in the length of the input sequence. The Linformer Model gets around that by using the fact that often, the actual information in the attention matrix

From playlist Papers Explained

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17. Orthogonal Matrices and Gram-Schmidt

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 17. Orthogonal Matrices and Gram-Schmidt License: Creative Commons BY-NC-SA More information a

From playlist MIT 18.06 Linear Algebra, Spring 2005

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Coding Challenge #112: 3D Rendering with Rotation and Projection

In this coding challenge I render a 3D object (cube) in 2D using rotation and projection matrices in Processing (Java). 💻Challenge: https://thecodingtrain.com/CodingChallenges/112-3d-rendering.html Links discussed in this challenge: 🔗 Matrix Multiplication: http://matrixmultiplication.xy

From playlist Coding Challenges

Related pages

Linear algebra | Fixed effects model | Trace (linear algebra) | Statistics | Local regression | Identity matrix | Covariance matrix | Linear filter | Influential observation | Linear model | Kernel regression | Cook's distance | Idempotent matrix | Variance | Leverage (statistics) | Mean and predicted response | Sparse matrix | Projection (linear algebra) | Design matrix | Symmetric matrix | Degrees of freedom (statistics) | Rank (linear algebra) | Covariance