Least Squares Formula PROOF скачать в хорошем качестве

Least Squares Formula PROOF

First video:    • Fitting a Line using Least Squares #SoME2   Linear least squares is a method commonly used to fit curves to data. The equation used for least squares here is derived using the column space of A. The 'best' value of X is the one that minimizes the distance between the vector b and [A]X. Most math textbooks stop at the result: A^T A X = A b and use different algorithms to find the best X. The pseudo-inverse is commonly used to solve this final equation since it is based on Singular Value Decomposition (SVD) - but that's a talk for another video. Chapters: 0:00 Intro 0:08 Previous Video Summary 0:36 Problem Definition 1:16 Column Space of A 2:42 Orthogonality 3:40 Calculations & Result 5:16 Confirmation 5:41 Pseudo-Inverse 6:07 Outro Music: Nuclear Lynx - Discovery -- Patreon:   / virtuallypassed   Instagram:   / virtuallypassed