Question: Principal Components Analysis (PCA) and Linear Discriminant Analysis (LDA) have different purposes. The former operates on the total (unlabeled) dataset to find the directions that

Principal Components Analysis (PCA) and Linear Discriminant Analysis (LDA) have different purposes. The former operates on the total (unlabeled) dataset to find the directions that contain the maximum variance; the latter operates on labeled data to find the directions which are best at distinguishing the labeled classes. In general, the results (principal components and canonicals, respectively) will be quite different. However, for special examples of data the principal components and canonicals could be in the same directions. (1) Draw an example of two-class, two-dimensional data such that PCA and LDA find the same directions. (2) Draw an example of two-class, two-dimensional data such that PCA and LDA find totally different directions.

Step by Step Solution

★★★★★

3.34 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

This question asks for examples where Principal Component Analysis PCA and Linear Discriminant Analysis LDA find similar and different directions resp... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

An air-compressor manufacturer purchases mechanical components from two different suppliers (MechSup = 1 or 2) and electrical/motor components from three different suppliers (ElectSup = 1, 2, or 3),...

Analysis of variance results generated by Excel are given on the next page. The sample results are measured consumer reactions to television commercials for different products. Assume that we want to...

7.1 Computer Science - Pattern Recognition THIS is the books DL content - http://extras.springer.com/2013/978-1-4614-5322-2 1. Principal Components Analysis (PCA) and Linear Discriminant Analysis...

Please answer the question in the picture below: 1. Principal Components Analysis (PCA) and Linear Discriminant Analysis (LDA) have different purposes. The former operates on the total (unlabeled)...

I need to answer the questions around 5-6 pages. 1. Why is there a need for separate system for governmental accounting and reporting? 2. Why can't we use the same standards applicable for private...

List four basic financial statement analysis procedures, describe how you would calculate each procedure and discuss why you would use each procedure. In your initial response, please do not use...

I need to see the SPSS output. You need to have all z-scores, all charts, all descriptives data from SPSS, everything you used to answer the questions. I am sending you what the previous tutor sent...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

Part I : There are many external users of the financial accounting information about a company. Investors, creditors, authorities, vendors, employees, and customers may all be impacted by the...

Assume that you need to forecast future short rates that are uncertain. You observe a yield curve. Please list your steps under both hypotheses: expectation hypothesis and liquidity hypothesis.

Evaluate the challenges facing Craigslist as it grows globally. How can it overcome those challenges?

y = x 2 3 + c x ; , x y ' + y = x 2

Moleno Company produces a single product and uses a standard cost system. The normal production volume is 120,000 units; each unit requires five direct labor hours at standard. Overhead is applied on...

On June 30, Paisley Party Planners had a $35,000 balance in Accounts Receivable and a $3,252 credit balance in Allowance for Uncollectible Accounts. During July, Paisley made credit sales of...

The chapter explains that Social Security benefits are increased each year in proportion to the increase in the CPI, even though most economists believe that the CPI overstates actual inflation. a....

The personnel department at LastCall Enterprises handles many administrative tasks for the two divisions that make up LastCall: LaidBack and StressedOut. LaidBack division manages the companys...

Gladys Company provided the following information: Standard variable overhead rate (SVOR) per direct labor hour ......$ 3.70 Actual variable overhead rate (AVOR) per direct labor hour ......$ 3.68...

What are the only conditions under which the market portfolio might not be an efficient portfolio? A. Significant number of investors do not have rational expectations so that they misinterpret...

The classic MNIST Digit RecognizerLinks to an external site. problem is a competition on Kaggle.com, and you will compete in this competition. For this assignment, you will develop a classifier that...

7.1 Computer Science - Pattern Recognition THIS is the books DL content - http://extras.springer.com/2013/978-1-4614-5322-2 1. Principal Components Analysis (PCA) and Linear Discriminant Analysis...

(These are most conveniently done with access to JMP (SAS, Inc.). Indeed Q.7.2 and 7.3 use datasets in the .JMP format (which can be downloaded from http://extras.springer.com). THIS is the books DL...

This question is about Principal Components Analysis (PCA)and Exploratory Factor Analysis (EFA) by R programming. (a) If we want to evaluate following performance of several students based on the...

QUESTION 14 After the quarantine is lifted, and people start riding the Green Line again, a person sees you scribbling in a notebook while riding the T. He looks over your shoulder and says, "Are you...

Thinking about the similarities and differences between Latent Dirichlet Allocation ( LDA ) , Non - Negative Matrix Factorization ( NMF ) , Latent Semantic Indexing ( LSI ) , and Principal Components...