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ISYE 6501 - Quiz 1 Questions and Answers.

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ISYE 6501 - Quiz 1 Questions and Answers.

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  • October 14, 2024
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  • ISYE 6501x
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ISYE 6501 - Quiz 1
Questions and Answers


Denning [Date] [Course title]

,Classification: What is it? What are the types? - Correct Answers:s :Classification groups things into
discrete categories.



The types of classification are hard classification and soft classification.



Hard Classification vs Soft Classification - Correct Answers:s :Hard: 100% separation between groups

Soft: minimize misclassifications where possible



Margin vs Accuracy Trade Off - Correct Answers:s :A small margin for error reduces your chances of
misclassifying known data points but increases your chances of misclassifying unknown data points.



A large margin for error increases your chances of misclassifying known data points but decreases your
chances of misclassifying unknown data points.



Making trade off decisions is based on what the cost is for a false-positive and false-negative in a given
business problem.



Support Vector Machine (SVM): How do they work and what are their objectives? - Correct
Answers:s :SVM a classifier that draws a line that best separates groups of data points. It does this by
creating two outer lines that represent the margin for error and a middle line that is the classifier.



Objectives:

1. All data points are categorized correctly (accuracy)

2. Maximize the gap between the two outer lines (margin)



SVM Hard Classifier: What are the parts and what do they represent? - Correct Answers:s :"Subject to all
points being accurate, we seek to maximize margin of error"



The sum of coefficents x variables x y must be greater than or equal to 1 in order order to maintain
accuracy. y is the response variable (-1 or 1), so the classifier must produce a prediction that is the same
sign as the response variable in order for the equation to be true. This part of the equation ensure
accuracy.

, We seek to minimize the sum of coefficients squared since that is the denominator of the margin
calculation (2 / sqrt(sum of coefficents)^2). Therefore, minimizing the sum of coefficients squared
maximizes the margin of our equation. This part of the equation maximizes margin.



SVM Soft Classifier: What are the parts and what do they represent? - Correct Answers:s :"Minimize the
sum of total error and square coefficients" We seek to minimize both in order to minimize error while
maximizing margin.



Max(0 , 1 - the sum of coefficients x variables x y) is the portion of the equation that measures error. Any
misclassifications will produce a sum of coefficients x variables x y value that is negative which will be
added to the total error. This part of the equation ensure accuracy.



Like in hard classification, we seek to minimize the sum of coefficients squared in order to maximize
margin. This part of the equation maximizes margin.



Unlike hard classification, we have the variable lambda that is multiplied with margin which can act as a
"lever" for what we want to prioritize.



Lambda in SVM Soft Classifier - Correct Answers:s :Lambda is the parameter we can set to control the
trade off between margin and accuracy.



Increasing lambda increases the emphasis the model has on margin.



Decreasing lambda increases the emphasis the model has on accuracy.



How do you add business context to build the optimal SVM? - Correct Answers:s :You can add the cost
of a misclassification to your model by weighting the a0 variable (intercept).



Ex. If a bad loan (-1) is twice as costly as a good loan (1) you can weight the a0 variable as 2/3*(a0-1) +
1/3(a0+1)

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