Singular Value Decomposition (SVD): Mathematical Overview

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This video presents a mathematical overview of the singular value decomposition (SVD).

These lectures follow Chapter 1 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz

This video was produced at the University of Washington
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Why are comments disabled on other videos?! We all want to say thank you to this dude

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I don't know how they do it, but Steve Brunton and 3Blue1Brown can explain stuff in a very impressive comprehensive way

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Steve Brunton is saving my masters as he saved my undergraduate. What a guy!

serkansenturk
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Relating SVD to Fourier series is the most enlightening sentence I had ever heard. Thank you.

ABC-hify
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A great lecturer. Some people are born teachers.

A great lecturer and I am buying their book to show my appreciation and thanks to Mr Brunton - and his colleague.

From downtown London, UK.

lucyhaddant
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Amazing! Well explained! I've had to watch a few times tbh, because I kept getting distracted by how Impressively he writes backwards. He doesn't even get distracted by the effort!! Just keeps on talking, teaching, and drawing while writing tidy, informative, concise notes... backwards! Amazing!! Thank you!! <3

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You’ve now become the only channel I’m subscribed to where I’ve also hit the bell - I really appreciate your approach

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The instructor’s machine learning basics course is clear and makes complex concepts easy to understand. 
The structure is well-organized, making it very beginner-friendly. 
Thank you for the thoughtful teaching!

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I feel so lucky that I can see your videos and your channel, your lessons are amazing, it make me feel deep happy. I can feel that you would love to share your knowledge to everyone. Thank you so much Steve Brunton.

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Mr. Brunton certainly understands how to take the students along in the lecture and not leave them at sea. Also, I believe the video is a mirror reflection of Mr Brunton actions which would produce the same effects.

srikanthsridharan
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You obviously can see this through your viewership, but holy smokes you have an amazing delivery style. Thank you

ryanciminski
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I've used PCA, but have never heard of SVD. After this video I can see how they are related and wonder how I never heard of it. Looking forward to the rest of the series!
Thank you so much, you are great at explaining!

dragoncurveenthusiast
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The fact that I'm seeing this video 2 years after it was posted makes me feel that I'm about two years behind the best in what exists in machine learning and data science. =(

Well, better late than never! Haha! Great class, Steve! You're an awesome teacher! Greetings from Brazil!

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This guy is like the greatest teacher ever!!

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A good YouTube rule of thumb is to never read the comments. An caveat to that rule is if the poster is a skilled educator. Thank you so much for your wonderful video!

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Outstanding and brilliant with the intuition. A great teacher, and the best set of videos, bar none, on the topic.

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Such smooth and intuitive understanding saving me from perplexity of the topics. Thanks Sir!! May God bless you! Love from students from Bharat!

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i am doing an elective about this and you are practically saving my life

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