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[AI from Scratch] Episode 244: The Bag-of-Words Model

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Recap and Today’s Theme

Hello! In the previous episode, we discussed morphological analysis in Japanese. Morphological analysis is an essential process for breaking down Japanese text into words and assigning part-of-speech information, enabling applications such as text mining, sentiment analysis, and search engines.

Today, we will cover one of the fundamental text representation techniques in natural language processing: the Bag-of-Words (BoW) model. The BoW model is a simple method that represents documents as vectors based on word frequency. In this episode, we will explain the basic concept of the BoW model, its calculation methods, and discuss its advantages and limitations.

What is the Bag-of-Words Model?

1. Basic Concept of Bag-of-Words

The Bag-of-Words (BoW) model is a technique that represents text as vectors by counting the frequency of words appearing in the document. In the BoW model, the order and grammatical structure of words are disregarded; only the occurrence count of each word is considered. In other words, the BoW model captures the features of a document by focusing on the types of words and their frequencies, ignoring the sequence in which they appear.

Consider the following two sentences:

  • Sentence 1: “I love AI.”
  • Sentence 2: “AI loves me.”

Although these sentences have different word orders, the BoW model ignores this and treats them as having the same set of words and frequencies.

2. Steps of the BoW Model

The BoW model is implemented through the following steps:

  1. Creating a Vocabulary: Compile a list of all words (vocabulary) that appear in all documents.
  2. Generating Document Vectors: For each document, count the occurrences of each word in the vocabulary and represent these counts as a vector.

This process represents each document as a vector composed of word frequencies. For example, if the vocabulary consists of five words: [“AI”, “love”, “me”, “I”, “loves”], the vectors for Sentence 1 and Sentence 2 would look like this:

  • Sentence 1: [1, 1, 0, 1, 0]
  • Sentence 2: [1, 0, 1, 0, 1]

Advantages of the BoW Model

1. Easy Implementation and Low Computational Cost

The BoW model is simple to implement with a straightforward algorithm and relatively low computational cost. It is widely used for handling large-scale text data because of its simplicity and efficiency.

2. Captures Text Features Effectively

By focusing on the frequency of words in a text, the BoW model effectively captures the distribution of words, making it useful for tasks such as document classification and clustering. It is particularly valuable in tasks like news article classification or spam detection.

Limitations of the BoW Model

1. Loss of Word Order Information

The BoW model disregards the order of words and the context, making it incapable of capturing the grammatical structure or nuanced meaning of a sentence. For example, the sentences “The dog chases the cat” and “The cat chases the dog” would be represented by the same vector in the BoW model, even though they convey different meanings.

2. High-Dimensional Sparse Vectors

As the vocabulary size increases, the dimensionality of vectors also grows, resulting in sparse vectors where most elements are zero. This can lead to decreased computational efficiency. Techniques like dimensionality reduction or feature selection are necessary to address this issue.

3. Difficulty Reflecting Word Importance

In the BoW model, common words (such as “the” or “is” in English) might have a disproportionate impact due to their high frequency. As a result, the model may fail to capture the distinctive features of a document accurately. To adjust for this, methods like TF-IDF are commonly used to weigh the importance of words.

Applications of the BoW Model

1. Text Classification

The BoW model is widely used in text classification tasks. It serves as a feature representation for building classification models using algorithms such as logistic regression or support vector machines (SVM) in tasks like categorizing news articles, detecting spam emails, and analyzing sentiment in reviews.

2. Document Clustering

The BoW model is also used for clustering documents. By measuring the similarity of document vectors, documents with similar content can be grouped together. For example, it can be applied in social media to automatically categorize posts by topic.

3. Search Engine Indexing

In search engines, the BoW model helps create document indexes. By comparing vectors of search queries and documents, it identifies relevant documents. Although simple, search engines based on the BoW model can improve accuracy by combining it with methods like TF-IDF or Word2Vec.

Extensions of the BoW Model

There are several methods to extend the BoW model to overcome its limitations. Here are some common approaches:

1. TF-IDF (To Be Discussed Next)

TF-IDF (Term Frequency-Inverse Document Frequency) is an improved version of the BoW model that combines word frequency and importance to represent documents. It assigns weights based on how often a word appears in a document (Term Frequency) and how common the word is across all documents (Inverse Document Frequency). This approach reduces the impact of frequent words, capturing document features more effectively.

2. N-Gram Model

The N-Gram Model is an extension of the BoW model that incorporates some information about word order. In N-gram models, sequences of N consecutive words are treated as a single unit, enabling the consideration of context. For example, the phrase “natural language processing” can be split into 2-grams like “natural language” and “language processing,” capturing word relationships.

3. Word Embeddings

Word Embeddings address the high-dimensional vector issue in the BoW model by representing words as low-dimensional continuous vectors. This allows for capturing semantic similarities between words. Examples of this approach include Word2Vec and GloVe, which are capable of encoding semantic information about words.

Summary

In this episode, we covered the Bag-of-Words (BoW) model, a simple method for representing text as vectors based on word frequency. The BoW model is easy to implement and has low computational cost, making it a fundamental approach in many NLP tasks. However, due to its limitations, such as ignoring word order and generating high-dimensional vectors, extensions like TF-IDF and Word Embeddings are often necessary.

Next Episode Preview

Next time, we will dive into the concept and calculation of TF-IDF, exploring how it complements the BoW model to better capture document features by evaluating the importance of words.


Notes

  1. Sparse Vector: A vector where most elements are zero, which can increase computational cost.
  2. TF-IDF: A weighting method combining term frequency and inverse document frequency to better represent document features.
  3. Word Embeddings: Techniques that represent words as continuous vectors, reflecting semantic similarities between them.
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