Statistics GlobeMar 17, 2024

In PCA, eigenvalues represent the variance explained by each principal component, while eigenvectors determine the direction of these components, illustrating how the original variables are weighted.

More info in my online course: https://statisticsglobe.com/online-course-pca-theory-application-r

#DataScience #PCA #Eigenvalues #Eigenvectors #RProgramming #DataAnalysis

Online Course: Principal Component Analysis (PCA) - Theory & Application in R

The Ultimate Course to Quickly Master Data Manipulation in R Using dplyr & the tidyverse - Instructor: Joachim Schork - Statistics Globe

Statistics Globe
Bruce ElrickMar 16, 2023
Do I know and physicists who've wrapped their head around AI? #AI #Physics #Eigenvectors
@hesss.bsky.socialFeb 25, 2023

I plan my routes (hiking, running, cycling) using heatmaps of other people's trips in @Strava.

How can we prevent converging to an equilibrium where we just copy shitty routes from ready other? Does the answer involve #eigenvectors?

jprbarryJan 10, 2023
#Eigenvectors and #eigenvalues are beaut things. They are ESNTL for doing Principal Component Analysis (#PCA) which is an imp. technique in #UnsupervisedLearning. #PCA allows us to greatly reduce the dimensionality of datasets and keep most of the imp. info
https://bit.ly/3vWv1dH
A Step-by-Step Explanation of Principal Component Analysis (PCA)

Principal Component Analysis (PCA) can help reduce dimensionality in large data sets. Learn how to use PCA and understand how it works.

Built In
nopeJun 17, 2022
Mining of Massive Datasets
(2014) : Leskovec, Jure and Rajaraman, Anand and Ullman, Jeffrey David
DOI: https://doi.org/10.1017/CBO9781139924801
#PCA #SVD #advertising #algorithm #big_data #clustering #data_mining #eigenvalues #eigenvectors #large_sca
#my_bibtex
xameerJan 17, 2021
https://math.stackexchange.com/a/6260?stw=2 - Answer:
Do matrices have to commute in order to share #eigenvectors and/or vice versa?
Matrices commute if and only if they share a common basis of eigenvectors?

I've come across a paper that mentions the fact that matrices commute if and only if they share a common basis of eigenvectors. Where can I find a proof of this statement?

xameerDec 10, 2020
unlike orbital angular momentum the #eigenvectors are not spherical harmonics.
xameerDec 10, 2020
unlike orbital angular momentum the #eigenvectors are not spherical harmonics.
xameerNov 20, 2020
normalized #eigenvectors of a circulant matrix are the #Fourier modes
xameerNov 20, 2020
normalized #eigenvectors of a circulant matrix are the #Fourier modes