Calculating Bleu Scores for Machine Translation Evaluation: Step-by-step Guide

BLEU (Bilingual Evaluation Understudy) score is a metric used to evaluate the quality of machine translation output by comparing it to one or more reference translations. This guide provides a step-by-step process to calculate BLEU scores effectively.

Understanding BLEU Score

The BLEU score measures how closely a machine-generated translation matches human references. It considers the overlap of n-grams between the candidate and reference translations, along with a brevity penalty to discourage overly short translations.

Step 1: Prepare Data

Gather the candidate translation and one or more reference translations. Ensure all texts are tokenized consistently, splitting sentences into words or subword units.

Step 2: Calculate N-gram Precision

For each n-gram size (commonly 1 to 4), count the number of n-grams in the candidate translation that also appear in the reference translations. Divide this count by the total number of n-grams in the candidate to obtain precision scores for each n-gram level.

Step 3: Apply Brevity Penalty

The brevity penalty (BP) penalizes translations that are shorter than the reference. Calculate it as:

BP = 1 if candidate length > reference length; otherwise, BP = e^{(1 – reference length / candidate length)}.

Step 4: Compute Final BLEU Score

Combine the n-gram precisions using geometric mean and multiply by the brevity penalty:

BLEU = BP * exp(average of log precisions for n=1 to 4).

Additional Tips

  • Use multiple reference translations for better evaluation.
  • Ensure consistent tokenization across all texts.
  • Utilize existing tools or libraries for calculation, such as NLTK or SacreBLEU.