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How to Measure Text Similarity using TF-IDF and Cosine Similarity?

Mary-Kate Olsen
Release: 2024-10-23 06:53:30
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How to Measure Text Similarity using TF-IDF and Cosine Similarity?

Measuring Textual Similarity with TF-IDF and Cosine Similarity

Determining the similarity between two text documents is a crucial task in text mining and information retrieval. One popular approach involves utilizing TF-IDF (Term Frequency-Inverse Document Frequency) and cosine similarity.

TF-IDF assigns a weight to each word in a document based on its frequency in that document and its rarity across the document corpus. Documents with similar word patterns will share higher TF-IDF vectors.

Cosine similarity measures the angle between two vectors, providing a value between 0 (no similarity) and 1 (perfect similarity). In our case, the TF-IDF vectors of the two documents form these vectors, and the cosine similarity quantifies their angle.

Python Implementation

In Python, using the scikit-learn and Gensim packages, computing pairwise similarities is straightforward:

<code class="python">from sklearn.feature_extraction.text import TfidfVectorizer

documents = [open(f).read() for f in text_files]
tfidf = TfidfVectorizer().fit_transform(documents)
pairwise_similarity = tfidf * tfidf.T</code>
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Alternatively, if the documents are already strings, use:

<code class="python">corpus = ["I'd like an apple", "An apple a day keeps the doctor away", "..."]
vect = TfidfVectorizer(min_df=1, stop_words="english")
tfidf = vect.fit_transform(corpus)
pairwise_similarity = tfidf * tfidf.T</code>
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Interpreting Results

pairwise_similarity is a sparse matrix representing the similarity between each document pair. To find the document most similar to a specific document, mask out the document's similarity to itself (set it to NaN) and find the maximum value in its row using np.nanargmax():

<code class="python">import numpy as np

arr = pairwise_similarity.toarray()
np.fill_diagonal(arr, np.nan)
input_doc = "The scikit-learn docs are Orange and Blue"
input_idx = corpus.index(input_doc)
result_idx = np.nanargmax(arr[input_idx])
similar_doc = corpus[result_idx]</code>
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Other Considerations

For large corpora and vocabularies, using a sparse matrix is more efficient than converting to NumPy arrays.

By adjusting the parameters in TfidfVectorizer, such as min_df for minimum document frequency, the TF-IDF computation can be customized to suit specific requirements.

Additional Resources

  • [Introduction to Information Retrieval](http://infolab.stanford.edu/~backrub/classes/2002/cs276/handouts/04-tfidf.pdf)
  • [Computing Pairwise Similarities with Gensim](https://stackoverflow.com/questions/23752770/computing-pairwise-similarities-with-gensim)

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