34. Distance Matrices, Procrustes Problem

MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018
Instructor: Gilbert Strang
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This lecture continues the review of distance matrices. Professor Strang then introduces the Procrustes problem, which looks for the orthogonal matrix that swings one set of vectors as nearly as possible onto a second set.
License: Creative Commons BY-NC-SA
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[@georgesadler7830]

DR. Strang , thank you for another strong explanation of Distance Matrices and also the failure of the Triangle Inequality in Numerical Linear Algebra. Defining and explaining the Trace is another important part of Numerical linear Algebra.

[@dr.mohammadmoniruddin9569]

Thanks Prof. Gilbert Strang for such a nice topic to discuss

[@anandpaul204]

Thank you sir, I understand the importance of checking triangular inequalities. By the way isn't the Distance Matrix 1st row [ 0 1 6], 2nd row [ 1 0 1] and 3rd row [6 1 0].

[@adonaihernandez5574]

Thank you Gilbert Strang !!!

[@gold4963]

Bookmarks. 10:46. What the Procrustes problem is.

[@wee2eew]

Thank you!

[@anynamecanbeuse]

Is the distance matrix right?

[@FineFlu]

It looks like dx2x3 is 6 when it should be 1, no? Right around 3:15

[@maryambeygmohammadi2232]

Dear MIT! What happened at 8:00? An important part of the lecture is missed!!!!

[@user-vg7kb5dg9t]

It seems to be the project report.

[@lesleynecaise3843]

where can i find the proof of procrustes problem?

[@ky8920]

on page 8: courses.math.umd.edu/math420/1920S/LECTURES/DiscLec04.pdf

[@aaradhyasworld7405]

Not able to understand.. 😔

[@user-tn1yb1ne4e]

am i the first to comment here？ thank you Gilbert Strang !!! i really love your courses

[@brainstormingsharing1309]

👍👍👍👍👍👍👍👍👍👍

[@armchairtrips]

I am wondering if Prof. still maintain in 2023 that deep learning doesn't work...Gooing to the next video to see