GATE DA 2026 | Question: 2

Question

Consider that you are training a classifier for a $10$ -class classification problem. Each input is represented as a $512$ -dimensional vector. There are $1000$ samples, out of which first $100$ will be used for testing. Let Leave-One-Out-CrossValidation (LOOCV) be used for selection of the classifier model before testing.

Which of the following options is the correct number of validation splits that will be generated?

• A. $10$
• B. $512$
• C. $900$
• D. $1000$

Answer 1

 Leave-One-Out Cross-Validation (LOOCV) means  

the number of splits  =  the number of training samples.

Total samples = $1000$.

Samples used for Testing = $100$.

Training Set Size = $1000-100=900$. 

Hence 900 validation Splits .
 

 

 

Answer 2

Total samples = 1000

Out of these, 100 samples are reserved for testing.

\[
\text{Training samples} = 1000 - 100 = 900
\]

Leave-One-Out Cross-Validation (LOOCV) is a special case of \(n\)-fold cross-validation where \(n\) denotes the number of training samples.

In LOOCV, each split leaves one training sample for validation and uses the remaining \(n-1\) samples for training.

Hence,

\[
\text{Number of validation splits} = n = 900
\]

Therefore, the correct answer is:

\[
\boxed{900}
\]

Correct option:
\[
{(C)}
\]