Least Squares Approximations

Показать описание

Description: We can't always solve Ax=b, but we use orthogonal projections to find the vector x such that Ax is closest to b.

This video is part of a Linear Algebra course taught at the University of Cincinnati.

BECOME A MEMBER:

MATH BOOKS & MERCH I LOVE:

Рекомендации по теме

Комментарии

Dude- you are honestly a God-send, this helped so much, thank you.

elizabethautumn

Thank you for explaining the underlying mechanics of the process! This was super helpful!

NguyenTran-snvt

Hey Dr. Bazett, Thank you so much for this series. I'm a second-year mathematics student at Imperial College and this has really helped to summarise a lot of the material that I have learnt this year! Really appreciate how clear and well-explained this course was so again thank you!

tarunmistry

This helps so much with my understanding, nice explanation, thank you!

vp

you are amazing teacher, thank you for saving my time and going forward to the point💖💖

codercodes

Is the orthogonality is needed in the expansion in 1 below the LSA? If the set {a_i} is not orthogonal, then I don't think the right-hand side is the orthogonal projection of v onto W.

NguyenHoang-jwyu

On 6min50. Do the vectors a_i need to be orthogonal, why or why not ?

alaindevos

Here's the follow up for the people who ended up here without following the playlist:

bodhi_db

Least Squares Approximations

Least squares approximation | Linear Algebra | Khan Academy

Least Squares Approximations

Least Squares Approximation

Linear Regression Using Least Squares Method - Line of Best Fit Equation

What is Least Squares?

Least Squares Approximation

Least squares using matrices | Lecture 26 | Matrix Algebra for Engineers

Linear Least Squares to Solve Nonlinear Problems

The Least Squares Formula: A Derivation

Least Squares Approximations

Least Square Approximation

Linear Algebra 6.4 Best Approximation; Least Squares

Linear Algebra 6.5.1 Least Squares Problems

Determine a Least Squares Solutions to Ax=b

Least Squares Approximation Example: Using Natural Logs

M-12. Approximation of Function by Least Squares Method

The Method of Least Squares

Least-Squares Approximations - Linear Algebra - G7

Numerical Methods I - Least Squares Approximations

Least Square Approximation | Messtechnik

Discrete Least Squares Approximations

7.3 Least Squares Approximation

How to calculate linear regression using least square method

Mat433,numerical analysis 2,ch1 Discrete Least Squares Approximation L1