Beam Search Decoding Demystified: Code Review and Real-World Applications

Elias Hossain
7 min readApr 11, 2023

If you’re familiar with beam search decoding, you probably know that it’s a widely used algorithm in natural language processing and other fields where probabilistic models are used to generate outputs such as machine translation, speech recognition, and image captioning. However, if you’re not familiar with the details of how it works, you might find it helpful to see a practical implementation in action. In this article, I’ll provide a sample implementation that I recently used in a downstream NLP task. By following along with the code and explanation, you’ll learn:

  • The fundamental principles of beam search decoding
  • How to implement it in practice
  • Some common scenarios where it can be useful

Background of Beam Search Decoding

Beam search decoding is a commonly used algorithm in natural language processing and other fields where probabilistic models are used to generate outputs such as machine translation, speech recognition, and image captioning. It is used to generate the most likely output sequence given a set of possible outputs.

A common scenario where beam search decoding is used is in machine translation. Suppose you have a sentence in one language, and you want to translate it into another language. There are many possible ways to translate a sentence, and each translation will have a different probability of being correct. Beam search decoding is used to find the most likely translation given a probabilistic model that scores the possible translations.

For example, suppose you want to translate the sentence “Je suis content” from French to English. One possible translation is “I am happy,” but there are many other possible translations, such as “I am glad,” “I am pleased,” and so on. Each translation has a different probability of being correct, and beam search decoding is used to find the most likely translation given the probabilities of each possible translation.

The beam search algorithm works by keeping track of a fixed number of the most likely output sequences at each step of the decoding process. At each step, it generates a set of new candidate sequences based on the previous set of candidates, and then selects the most likely candidates to continue the decoding process. By keeping only a limited number of candidates, beam search is able to search through a large space of possible outputs more efficiently than other search algorithms.

To help you better understand the technical aspects of beam search decoding, I will provide an example implementation.

Import necessary modules

import pandas as pd
import tensorflow as tf
import numpy as np
import warnings
warnings.filterwarnings("ignore")
import os
os.environ['TF_CPP_MIN_LOG_LEVEL'] = '2'

In this block, we are importing the necessary libraries for the code to run, which are pandas, TensorFlow, numpy, warnings, and os. Pandas is used for handling data in a tabular format, TensorFlow is a powerful open-source machine learning framework, numpy is used for mathematical operations, warnings are used to handle warnings, and os is used to handle the operating system. We are also ignoring warnings and setting the log level of TensorFlow to 2, which means we are ignoring warnings and errors.

Defining input data

data = {
'a': [0.1, 0.4, 0.1, 0.2, 0.1, 0.4, 0.1, 0.2, 0.1, 0.4],
'b': [0.2, 0.3, 0.2, 0.3, 0.2, 0.3, 0.2, 0.3, 0.2, 0.3],
'c': [0.3, 0.2, 0.3, 0.2, 0.3, 0.2, 0.3, 0.2, 0.3, 0.2],
'd': [0.4, 0.1, 0.4, 0.1, 0.4, 0.1, 0.4, 0.1, 0.4, 0.1],
'e': [0.5, 0.05, 0.5, 0.05, 0.5, 0.05, 0.5, 0.05, 0.5, 0.05]
}

Defining the Beam Search Decoder Function

def beam_search_decoder(data, beam_width, n_best):
df = pd.DataFrame(data)
data = tf.nn.softmax(df.values)
sequences = [(list(), 0.0)]
results = []
for i, row in enumerate(data):
all_candidates = []
for seq, score in sequences:
for j in range(len(row)):
candidate_seq = seq + [j]
next_token_log_prob = np.log(row[j])
candidate_score = score + next_token_log_prob
candidate = (candidate_seq, candidate_score)
all_candidates.append(candidate)
ordered = sorted(all_candidates, key=lambda tup: tup[1], reverse=True)
sequences = ordered[:beam_width]
n_best_sequences = [(seq[-1], score) for seq, score in sequences[:n_best]]
results.append(n_best_sequences)

# Create a dictionary to map the token indices to their corresponding phoneme names
token_index_to_name = dict(enumerate(range(len(row))))
index_to_phoneme = {v: k for k, v in token_index_to_name.items()}

# Convert token indices back to their corresponding phoneme names

final_results = []
for step_results in results:
step_token_scores = []
for token_index, score in step_results:
# Convert token indices to their corresponding phoneme names
token_name = index_to_phoneme[token_index]
step_token_scores.append((token_name, score))
final_results.append(step_token_scores)

return final_results

In this block, we are defining a function beam_search_decoder which takes in three arguments data, beam_width, and n_best. This function implements the beam search algorithm for decoding. We start by converting the input data to a Pandas DataFrame and then to a TensorFlow tensor. We initialize the sequences list with an empty sequence and a score of 0.0. We then loop over the rows in the data tensor and for each row, we generate all possible candidates by combining the previous sequence with each token in the current row. We calculate the score of each candidate by adding the log probability of the next token to the previous score. We then sort the candidates based on their score and keep only the top beam_width candidates. We also keep the top n_best sequences at each step and store them in the results list. Finally, we convert the token indices back to their corresponding phoneme names and return the final results.

Access the Beam Function

df = pd.DataFrame(data)

beam_search_results = beam_search_decoder(df, beam_width=30, n_best=30)
for i, step_results in enumerate(beam_search_results):
print(f"Time step {i}:")
for rank, (token, score) in enumerate(step_results):
#print('score:', score)
print(f"{rank+1}-best Token: {token}, Score: {score}")

In this code block, the data is first converted into a Pandas DataFrame using pd.DataFrame(data).

Next, the beam_search_decoder() function is called with the DataFrame df, a beam_width of 30, and n_best of 30. This function applies beam search decoding to the input data to generate a list of the top n_best sequences of tokens at each time step, with each sequence having a length of beam_width.

Finally, the results are printed to the console. For each time step in the output sequence, the top n_best tokens and their corresponding scores are printed. The rank of each token is also printed alongside its score.

Common Use Cases of Beam Search Decoding

  1. Machine Translation: Beam search decoding is widely used in machine translation systems to generate the most likely translation of a sentence from one language to another. By searching through a large space of possible translations, beam search is able to find the most likely translation given a probabilistic model that scores the possible translations.
  2. Speech Recognition: Beam search decoding is used in speech recognition systems to generate the most likely transcription of an audio signal. By searching through a large space of possible transcriptions, beam search is able to find the most likely transcription given a probabilistic model that scores the possible transcriptions.
  3. Image Captioning: Beam search decoding is used in image captioning systems to generate the most likely caption for an image. By searching through a large space of possible captions, beam search is able to find the most likely caption given a probabilistic model that scores the possible captions.
  4. Text Summarization: Beam search decoding is used in text summarization systems to generate a summary of a longer piece of text. By searching through a large space of possible summaries, beam search is able to find the most likely summary given a probabilistic model that scores the possible summaries.
  5. Natural Language Generation: Beam search decoding is used in natural language generation systems to generate natural language text from structured data. By searching through a large space of possible text outputs, beam search is able to find the most likely text output given a probabilistic model that scores the possible outputs.

The Importance of Beam Search Decoding in the Industry

Beam search decoding plays a crucial role in many industries that rely on natural language processing (NLP) and probabilistic models. In machine translation, speech recognition, and image captioning, beam search decoding is used to generate the most likely output sequence given a set of possible outputs. This is particularly important in industries such as e-commerce, customer service, and healthcare, where accurate and timely language processing is critical.

For example, in e-commerce, beam search decoding can be used to accurately translate product descriptions and reviews from one language to another, enabling companies to expand their global reach and increase sales. In customer service, beam search decoding can be used to transcribe and translate customer interactions in real-time, allowing agents to provide quick and effective support to customers around the world. In healthcare, beam search decoding can be used to accurately transcribe and translate medical records and other clinical data, helping doctors and researchers to improve patient care and advance medical knowledge.

In addition, beam search decoding is also important in industries such as finance, legal, and government, where accurate language processing is essential for compliance, risk management, and decision-making. For example, beam search decoding can be used to accurately transcribe and translate financial reports, legal documents, and government communications, helping companies and organizations to comply with regulations, manage risk, and make informed decisions.

Overall, beam search decoding is an essential tool in industries that rely on natural language processing and probabilistic models. By enabling accurate and efficient language processing, beam search decoding can help companies and organizations to improve their operations, expand their reach, and achieve their goals.

References

Finally, the results are printed to the console. For each time step in the output sequence, the top n_best tokens and their corresponding scores are printed. The rank of each token is also printed alongside its score.

BECOME a WRITER at MLearning.ai

--

--

Elias Hossain

I am a Software Engineer. My research interest is diverse, intelligent systems, and I am eager to learn more about them