I was selected for an interview by Standing Committee, therefore I didn’t have to give PGEE and my GATE wasn’t considered. In case anyone wants to know, my GATE (2021) score was 627.
The interview panel had 3 professors.
P1: Current role, past research experience, past research topics.
Me: Told
P2: Explain Vector Spaces
Me: Told
P2: What is dot product? What is its significance?
Me: Told
P2: What is the rank of a matrix? What happens if a vector is multiplied by a matrix with rank lower than its no. of dimensions?
Me: Told
P2: What are basis vectors?
Me: Told
P2: Given N vectors in N-d space, how would you find N perpendicular vectors using the given vectors?
Me: Initially told about SVD. They wanted the answer using dot product, answered after some hints.
P1: Given a graph, is the shortest path between 2 vertices always included in the MST?
Me: Told no using counter-example.
P1: Explain K-Means Clustering
Me: Told
P1: Explain Neural Clustering
Me: Didn’t know
P1: Explain any of your papers and the math involved
Me: Told
P3: What makes a neural network non-linear?
Me: Told
P3: What are the properties of a sigmoid activation?
Me: Told
P3: What is the derivative of sigmoid?
Me: Told
Result: SELECTED!