Singular value decomposition | Linear algebra | Matrix theory
The orthogonal Procrustes problem is a matrix approximation problem in linear algebra. In its classical form, one is given two matrices and and asked to find an orthogonal matrix which most closely maps to . Specifically, where denotes the Frobenius norm. This is a special case of Wahba's problem (with identical weights; instead of considering two matrices, in Wahba's problem the columns of the matrices are considered as individual vectors). Another difference is, that Wahba's problem tries to find a proper rotation matrix, instead of just an orthogonal one. The name Procrustes refers to a bandit from Greek mythology who made his victims fit his bed by either stretching their limbs or cutting them off. (Wikipedia).
34. Distance Matrices, Procrustes Problem
MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k This lecture conti
From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Seth Lloyd - Quantum polar decomposition - IPAM at UCLA
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From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
Joshua Mike (6/15/20): TALLEM: Topological Assembly of Locally Linear Euclidean Models
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From playlist ATMCS/AATRN 2020
Physics-Informed Dynamic Mode Decomposition (PI-DMD)
In this video, Peter Baddoo from MIT (www.baddoo.co.uk) explains how physical laws can be integrated into the dynamic mode decomposition. Title: Physics-informed dynamic mode decomposition (piDMD) Authors: Peter J. Baddoo, Benjamin Herrmann, Beverley J. McKeon, J. Nathan Kutz, and Steven
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AGACSE2021 Joan Lasenby - GA approach to orthogonal transformations in signal and image processing.
Professor Joan Lasenby from Cambridge University on a Geometric Algebra approach to orthogonal transformations and their use in signal and image processing.
From playlist AGACSE2021
Edoardo Ponti & Yova Kementchedjhieva (#botsBerlin Meetup)
Welcome to the livestream of BotsBerlin! This is our Deep Tech meet-up, where we encourage the discussion of tech and research in the bot-building world. We are very grateful to be having Edoardo Ponti from the University of Cambridge and Yova Kementchedjhieva from the University of Cope
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👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
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Biologically relevant distances between morphological surfaces representing teeth and bones
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From playlist Distinguished Visitors Lecture Series
Ingrid Daubechies: "Bones, Teeth and Animation"
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From playlist Public Lectures
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👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral
From playlist Parallel Lines and a Transversal
In this video, I define the concept of orthogonal projection of a vector on a line (and on more general subspaces), derive a very nice formula for it, and show why orthogonal projections are so useful. You might even see the hugging formula again. Enjoy! This is the second part of the ort
From playlist Orthogonality
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👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
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👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral
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I introduce the Properties of Parallelograms...the opposite sides are equal, the opposite angles are equal, the consecutive angles are supplementary, and the diagonals bisect each other. I work through four algebraic examples in this video at 4:28 14:30 Find free review test, useful notes
From playlist Geometry
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How to determine two acute adjacent angles from a figure
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
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Katharine Turner: Statistical Shape Analysis using the Persistent Homology Transform
The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology
From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"
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👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral
From playlist Parallel Lines and a Transversal