Lecture notes
L3_PCA.pdf 1. Document information
- Module
- Machine learning
- Institution
- Abacus College, Oxford
L3_PCA.pdf 1. Document information
[Show more]
Seller
Follow
Content preview
MATH6184Dimensional Reduction:
Principal Component Analysis
Vuong Phan
School of Mathematcal Sciences,
University of Southampton
Office: 54/10005.
Email: t.v.phan@soton.ac.uk
1/14
, Introduction
▶ Dimensional reduction is one of the most important
techniques in ML
▶ The main idea of dimensional reduction is simple
▶ Given a vector of data x ∈ RD , where D is huge. How to
represent x in a smaller dimensional space?
▶ Find a new vector z ∈ RK , where K << D such that the K
most important components are kept.
▶ Two questions
▶ How do we decide the importance of each component?
▶ If the importance of components are similar (or the same),
what components should be deleted?
▶ Principal Component Analysis (PCA) is a simple (but
popular) technique in dimensional reduction relied analysis of
a linear model.
2/14
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller 1097434525U. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £3.16. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
85443 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now