Algebraic and Geometric Basis of Principal Components: An Overview | Zendy

Pramit Pandit | Zendy; Kandamaran Krishnamurthy | Zendy; Keshava Murthy | Zendy

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Algebraic and Geometric Basis of Principal Components: An Overview

Author(s) -

Pramit Pandit,

Kandamaran Krishnamurthy,

Keshava Murthy

Publication year - 2020

Publication title -

journal of reliability and statistical studies

Language(s) - English

Resource type - Journals

eISSN - 2229-5666

pISSN - 0974-8024

DOI - 10.13052/jrss0974-8024.1314

Subject(s) - principal component analysis , basis (linear algebra) , dimension (graph theory) , set (abstract data type) , algebraic number , principal (computer security) , uncorrelated , variation (astronomy) , mathematics , dimensionality reduction , computer science , artificial intelligence , statistics , pure mathematics , geometry , mathematical analysis , physics , astrophysics , programming language , operating system

Principal Component Analysis is considered as a dimension-reduction tool which may be used to reduce a large set of possibly correlated variables to hopefully a smaller set of uncorrelated variables that still accounts for most of the variation of the original large set. To understand the inner constructs of principal components, concepts of algebraic as well as geometric basis of principal components are prerequisites. Hence, in the current study, an attempt has been made to provide a step by step and vivid discussion of the basis of principle components and its various important properties.

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