Given a dataset with 1500 samples and a batch size of 50, how many iterations will be required to complete one epoch?

1. Break Down the Problem

To determine the number of iterations required to complete one epoch, we need to divide the total number of samples by the batch size.

2. Relevant Concepts

An epoch is defined as one complete pass through the entire dataset. The number of iterations can be calculated using the formula:

$\text{Iterations} = \frac{\text{Total Samples}}{\text{Batch Size}}$

3. Analysis and Detail

Here we know:

• Total Samples = 1500
• Batch Size = 50

Using the formula:

$\text{Iterations} = \frac{1500}{50}$

Calculating this gives:

$\text{Iterations} = 30$

4. Verify and Summarize

To verify, we can multiply the number of iterations by the batch size:

$\text{Iterations} \times \text{Batch Size} = 30 \times 50 = 1500$

This confirms that our calculation is correct.

Final Answer

The number of iterations required to complete one epoch is 30.