Convex geometry | Geometric data structures | Polytopes
In model checking, a field of computer science, a difference bound matrix (DBM) is a data structure used to represent some convex polytopes called zones. This structure can be used to efficiently implement some geometrical operations over zones, such as testing emptyness, inclusion, equality, and computing the intersection and the sum of two zones. It is, for example, used in the Uppaal model checker; where it is also distributed as an independent library. More precisely, there is a notion of canonical DBM; there is a one-to-one relation between canonical DBMs and zones and from each DBM a canonical equivalent DBM can be efficiently computed. Thus, equality of zone can be tested by checking for equality of canonical DBMs. (Wikipedia).
This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
This video defines a diagonal matrix and then explains how to determine the inverse of a diagonal matrix (if possible) and how to raise a diagonal matrix to a power. Site: mathispower4u.com Blog: mathispower4u.wordpress.com
From playlist Introduction to Matrices and Matrix Operations
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From playlist Linear Algebra Done Right
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This video explains the process of diagonalization of a matrix.
From playlist The Diagonalization of Matrices
We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the
From playlist Introducing linear algebra
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From playlist Linear Algebra
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We define a notion of "Similar Matrices" where two matrices that are similar share many similar properties like eigenvalues, but don't share others like eigenvectors. This notion comes about via the idea of a change of basis Learning Objectives: 1) Apply properties of determinants to for
From playlist Linear Algebra (Full Course)
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From playlist Mathematics
Nonlinear dimensionality reduction for faster kernel methods in machine learning - Christopher Musco
Computer Science/Discrete Mathematics Seminar I Topic: Nonlinear dimensionality reduction for faster kernel methods in machine learning. Speaker: Christopher Musco Affiliation: Massachusetts Institute of Technology Date: Febuary 12, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
On Matrix Multiplication and Polynomial Identity Testing - Robert Andrews
Computer Science/Discrete Mathematics Seminar I Topic: On Matrix Multiplication and Polynomial Identity Testing Speaker: Robert Andrews Affiliation: University of Illinois Urbana-Champaign Date: January 30, 2023 Determining the complexity of matrix multiplication is a fundamental problem
From playlist Mathematics
Paola Boito: Topics in structured linear algebra - lecture 2
CIRM VIRTUAL EVENT Recorded during the meeting "French Computer Algebra Days" the March 02, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audio
From playlist Virtual Conference
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From playlist Mathematics
Asymptotic properties of random quantum states and channels - Z.Puchała - Workshop 2 - CEB T3 2017
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From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
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Workshop on Theory of Deep Learning: Where next? Topic: Understanding the inductive bias due to dropout Speaker: Raman Arora Affiliation: Johns Hopkins University; Member, School of Mathematics Date: October 17, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Computer Science/Discrete Mathematics Reading Seminar Topic: Tensor Rank Speaker: Avi Wigderson Affiliation: IAS, Herbert H. Maass Professor, School of Mathematics Date: June 22, 2021 Tensors occur throughout mathematics. Their rank, defined in analogy with matrix rank, is however much
From playlist Mathematics
Structured Regularization Summer School - A. Montanari - 1/4 - 19/06/2017
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From playlist Structured Regularization Summer School - 19-22/06/2017
PreCalculus - Matrices & Matrix Applications (19 of 33) What is an Identity Matrix?
Visit http://ilectureonline.com for more math and science lectures! In this video I will define, explain, and find the identity matrices to 1x1, 2x2, and 3x3 matrices. Next video in the Matrices series can be seen at: http://youtu.be/KoKWMSABkuM
From playlist Michel van Biezen: PRECALCULUS 12 - MATRICES
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From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018