This video explains what is meant by the Kronecker Product of two matrices, and discusses some of this operation's uses in econometrics.
Check out http://oxbridge-tutor.co.uk/graduate-econometrics-course/ for course materials, and information regarding updates on each of the courses. Check out https://ben-lambert.com/econometrics-course-problem-sets-and-data/ for course materials, and information regarding updates on each of the courses. Quite excitingly (for me at least), I am about to publish a whole series of new videos on Bayesian statistics on youtube. See here for information: https://ben-lambert.com/bayesian/ Accompanying this series, there will be a book: https://www.amazon.co.uk/gp/product/1473916364/ref=pe_3140701_247401851_em_1p_0_ti

Views: 21675
Ben Lambert

Kronecker Product of two matrices in image processing.
AXB is not equal to BXA.
.........................................................
GATE lectures on SIGNAL AND SYSTEM - by Shrenik Jain
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Shrenik Jain

Kyle Kloster, Purdue University Math Department
PUNLAG is a student-led seminar in numerical linear algebra at Purdue University.
Definitions, examples, basic properties. In particular, how eigen-information of A \kron B is exactly determined by eigen-information of A and of B. We used a Kronecker product perspective to show an easier way of studying the Poisson matrix that caused so many students so much pain in CS515 Numerical Linear Algebra.
Continued in part 2: https://www.youtube.com/watch?v=ypN5CbB1lvY&feature=youtu.be

Views: 3047
Kyle Kloster

This video provides a description of the properties of the Kronecker matrix Product, which then allow for construction of more elaborate estimators in matrix form.
Check out http://oxbridge-tutor.co.uk/graduate-econometrics-course/ for course materials, and information regarding updates on each of the courses. Check out https://ben-lambert.com/econometrics-course-problem-sets-and-data/ for course materials, and information regarding updates on each of the courses. Quite excitingly (for me at least), I am about to publish a whole series of new videos on Bayesian statistics on youtube. See here for information: https://ben-lambert.com/bayesian/ Accompanying this series, there will be a book: https://www.amazon.co.uk/gp/product/1473916364/ref=pe_3140701_247401851_em_1p_0_ti

Views: 6453
Ben Lambert

This video explains what is meant by the Kronecker Product of two matrices, and discusses some of this operation's uses in econometrics.
If you are interested in seeing more of the material on graduate level econometrics, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXj-nXiNzO1aaItNDm30e01 For more information on econometrics and Bayesian statistics, see: https://ben-lambert.com/

Views: 923
Ox educ

MATLAB
MATHEMATICS IN MATLAB
LINEAR ALGEBRA PART 2
Kronecker Tensor Product,
What is Vector Norm,
Matrix Norm,
Multi thread Computation with Linear algebra functions,
System of linear equations,
What is Mrdivide and Mldivide,
Using Multi thread Computation with system of linear equation,
Iterative methods for solving of linear equations,
Inverse and Determinants,
What is Pseudo Inverse,
Video by Edupedia World (www.edupediaworld.com), Online Education,
All Right Reserved.

Views: 2606
Edupedia World

We can use indices to write matrix multiplication in a more compact way.

Views: 11107
PhysicsHelps

Kyle Kloster, Purdue University Math Department
PUNLAG is a student-led seminar in numerical linear algebra at Purdue University.
More on the Kronecker product: the mixed product property, solving matrix equations, and the nearest Kronecker product problem.
This video is the conclusion from part 1, available here: http://youtu.be/6Nj2lJTTKIQ

Views: 961
Kyle Kloster

In mathematics, the Kronecker product, denoted by ⊗, is an operation on two matrices of arbitrary size resulting in a block matrix. It is a generalization of the outer product (which is denoted by the same symbol) from vectors to matrices, and gives the matrix of the tensor product with respect to a standard choice of basis. The Kronecker product should not be confused with the usual matrix multiplication, which is an entirely different operation.
The Kronecker product is named after Leopold Kronecker, even though there is little evidence that he was the first to define and use it. Indeed, in the past the Kronecker product was sometimes called the Zehfuss matrix, after Johann Georg Zehfuss who described the matrix operation we now know as the Kronecker product in 1858.
This video is targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Creative Commons image source in video

Views: 1497
Audiopedia

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Views: 19275
JJtheTutor

Views: 235
118yt118

This tutorial shows how to implement an algorithm for computing the Kronecker product of two matrices in C#.

Views: 29
Damian DZ

Definition of an inner and outer product of two column vectors.
Take my Coursera course at
https://www.coursera.org/learn/matrix-algebra-engineers
Download lecture notes from
http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf

Views: 2304
Jeffrey Chasnov

Explains element-wise multiplication (Hadamard product) and division of matrices. Part 3 of the matrix math series.
Made by faculty at the University of Colorado Boulder, Department of Chemical & Biological Engineering.
Check out our Engineering Computing playlists: https://www.youtube.com/user/LearnChemE/playlists?sort=dd&view=50&shelf_id=4
Are you using a textbook? Check out our website for videos organized by textbook chapters: http://www.learncheme.com/screencasts

Views: 15590
LearnChemE

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Views: 17733
JJtheTutor

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Views: 38409
JJtheTutor

International Workshop on Linear Models, Experimental Designs, and Related Matrix Theory, University of Tampere, Finland, 6-8 August, 1990.
Heinz Neudecker, University of Amsterdam, Netherlands: "Block Kronecker products and the vecb operator". Joint work with Ruud H. Koning and Tom Wansbeek, University of Groningen, Netherlands.
http://dx.doi.org/10.1016/0024-3795(91)90332-Q
Chair: Norman Draper.

Views: 444
UniversityOfTampere

Subscribe today and give the gift of knowledge to yourself or a friend
modeling real graphs using kronecker multiplication
Modeling Real Graphs using Kronecker Multiplication. Jure Leskovec, Christos Faloutsos Machine Learning Department. Modeling large networks. Large networks ( e.g. , web, internet, on-line social networks) with millions of nodes Need statistical methods and models to quantify large networks. Slideshow 3031627 by alesia
show1 : Modeling real graphs using kronecker multiplication
show2 : Modeling large networks
show3 : The problem
show4 : Why is this important
show5 : Statistical properties of networks
show6 : Small world effect
show7 : Heavy tailed degree distributions
show8 : Spectral properties
show9 : Models of graph generation
show10 : The model kronecker graphs
show11 : Idea recursive graph generation
show12 : Kronecker product graph
show13 : Kronecker product definition
show14 : Kronecker graphs
show15 : Kronecker product graph1
show16 : Stochastic kronecker graphs
show17 : Kronecker graphs intuition
show18 : Properties of kronecker graphs
show19 : Model estimation approach
show20 : Fitting kronecker graphs
show21 : Challenge 1 node correspondence
show22 : Challenge 2 calculating p g
show23 : Model estimation solution
show24 : Solution 1 node correspondence
show25 : Sampling node correspondences
show26 : Solution 2 calculating p g
show27 : Solution 2 calculating p g1
show28 : Experiments synthetic data
show29 : Convergence of properties
show30 : Experiments real networks
show31 : As graph n 6500 e 26500

Views: 87
slideshowing

What is a Tensor 5: Tensor Products
Errata: At 22:00 I write down "T_00 e^0 @ e^1" and the correct expression is "T_00 e^0 @ e^0"

Views: 31308
XylyXylyX

MIT 8.05 Quantum Physics II, Fall 2013
View the complete course: http://ocw.mit.edu/8-05F13
Instructor: Barton Zwiebach
In this lecture, the professor continued to talk about the tensor product and also talked about entangled states, Bell basis states, quantum teleportation, etc.
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu

Views: 9988
MIT OpenCourseWare

Transport Phenomena tensor and vector matrix multipication operations including dot product, dyad, outer product, vector tensor dot product, double dot product.

Views: 4706
ChemE.Math

Visit http://ilectureonline.com for more math and science lectures!
In this video I will explain and visually show how tensors, scalar, vector, dyad, and triad, are represented by a matrix.
Next video in the series can be seen at:
https://youtu.be/brnzaYNFJ1w

Views: 7130
Michel van Biezen

This video is a classroom video of me teaching the master students about how an LQ optimal control problem can be efficiently formulated as a standard QP problem.
The goal is to create the well-structured matrices using kronecker product formulation.

Views: 59
rosh.sun

Tensor Product of Algebras

Views: 2332
Introduction to Commutative Algebra

Error: at around 13:25, on the last line, the input space should be V-tensor-(V*), not (V*)-tensor-V, although the two spaces are involve vector-covector pairs, the order is different, and so they are technically different spaces.
This one took a while to edit... kept noticing mistakes and having to go back and fix them. I'm sure there's at least

Views: 10418
eigenchris

Outer, Kronecker, matrix multiplication operators between matrices.

Views: 26
nagasuri bala venkateswarlu

MIT 8.05 Quantum Physics II, Fall 2013
View the complete course: http://ocw.mit.edu/8-05F13
Instructor: Barton Zwiebach
In this lecture, the professor continued to talk about nuclear magnetic resonance and also introduced the tensor product.
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu

Views: 9473
MIT OpenCourseWare

Definition of a 2nd order tensor, examples zero tensor, identity tensor, and tensor outer product with two additional examples of tensor outer product tensors.

Views: 5419
Sanjay Govindjee

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Views: 636
JJtheTutor

Homomorphisms and Tensor Products

Views: 3673
Introduction to Commutative Algebra

Mathematics for Machine Learning: Linear Algebra, Module 4 Matrices make linear mappings
To get certificate subscribe at: https://www.coursera.org/learn/linear-algebra-machine-learning/home/welcome
============================
Mathematics for Machine Learning: Linear Algebra:
https://www.youtube.com/playlist?list=PL2jykFOD1AWazz20_QRfESiJ2rthDF9-Z
============================
Youtube channel: https://www.youtube.com/user/intrigano
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About this course: In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems. Finally we look at how to use these to do fun things with datasets - like how to rotate images of faces and how to extract eigenvectors to look at how the Pagerank algorithm works. Since we're aiming at data-driven applications, we'll be implementing some of these ideas in code, not just on pencil and paper. Towards the end of the course, you'll write code blocks and encounter Jupyter notebooks in Python, but don't worry, these will be quite short, focussed on the concepts, and will guide you through if you’ve not coded before. At the end of this course you will have an intuitive understanding of vectors and matrices that will help you bridge the gap into linear algebra problems, and how to apply these concepts to machine learning.
Who is this class for: This course is for people who want to refresh their maths skills in linear algebra, particularly for the purposes of doing data science and machine learning, or learning about data science and machine learning. We look at vectors, matrices and how to apply these to solve linear systems of equations, and how to apply these to computational problems.
________________________________________
Created by: Imperial College London
Module 4 Matrices make linear mappings
In Module 4, we continue our discussion of matrices; first we think about how to code up matrix multiplication and matrix operations using the Einstein Summation Convention, which is a widely used notation in more advanced linear algebra courses. Then, we look at how matrices can transform a description of a vector from one basis (set of axes) to another. This will allow us to, for example, figure out how to apply a reflection to an image and manipulate images. We'll also look at how to construct a convenient basis vector set in order to do such transformations. Then, we'll write some code to do these transformations and apply this work computationally.
Learning Objectives
• Identify matrices as operators
• Relate the transformation matrix to a set of new basis vectors
• Formulate code for mappings based on these transformation matrices
• Write code to find an orthonormal basis set computationally

Views: 817
intrigano

Visit http://ilectureonline.com for more math and science lectures!
In this video I will explain the physical graphical representation of a tensor of rank 2, or a dyad. A tensor of rank 2 has 9 components, which means there will be 3 vectors each representing a force or stress or something requiring x-, y-, z- representation.
Next video in the series can be seen at:
https://youtu.be/1AEeiLjUf1o

Views: 7490
Michel van Biezen

Views: 10548
JJtheTutor

This video deals with the dot product and its applications. A transformation matrix between two standard basis are obtained. The transpose of this matrix is also the inverse.

Views: 511
Carlos Thompson

What does Kronecker product mean?
A spoken definition of Kronecker product.
Intro Sound:
Typewriter - Tamskp
Licensed under CC:BA 3.0
Outro Music:
Groove Groove - Kevin MacLeod (incompetech.com)
Licensed under CC:BA 3.0
Intro/Outro Photo:
The best days are not planned - Marcus Hansson
Licensed under CC-BY-2.0
Book Image:
Open Book template PSD - DougitDesign
Licensed under CC:BA 3.0
Text derived from:
http://en.wiktionary.org/wiki/Kronecker_product
Text to Speech powered by TTS-API.COM

Views: 223
What Does That Mean?