Question

Consider the case where two classes follow Gaussian distribution which are cen- tered at (3, 9) and (−3, 3) and have identity covariance matrix. Which of the following is the separating decision boundary using LDA assuming the priors to be equal?

y−x=3

x+y=3

x+y=6
both (b) and (c)
None of the above
Can not be found from the given information

Answer 1

Answer:

both b and c

Explanation:

i don't explain it

Answer 2

Answer:

he case where two classes follow Gaussian distribution which are centered at (3, 9) and (−3, 3) and have identity covariance matrix boundary using LDA assuming the priors to be equal is  X+y =6 .

Explanation:

When the covariance among K classes is assumed to be equal, LDA emerges. That is, rather than having a separate covariance matrix for each class, all classes have the same covariance matrix.

It is linear if there exists a function.

H(x) = β0 + βT x such that h(x) = I(H(x) > 0). H(x) is also called a linear discriminant function. The decision boundary is therefore defined as the set {x ∈ Rd : H(x)=0}, which corresponds to a (d − 1)-dimensional hyperplane within the d-dimensional input space X.