Consider A Corpus That Contains Five Documents In Table

Consider A Corpus That Contain Five Documents In Table

Consider a corpus that contains five documents as specified in the provided table, and perform the following tasks:

  • Build a term-document matrix based on raw counts of each term for the corpus, after removing stopwords and lemmatizing sentences. Use only nouns and verbs to construct the matrix.
  • Build a term-document matrix based on tf-idf scores for each term in the corpus, following the same preprocessing steps.
  • Show the procedure for calculating tf-idf.

Use Python to perform these tasks and submit your Python code along with the results.

Paper For Above instruction

In natural language processing (NLP) and text mining, constructing a term-document matrix is fundamental for feature extraction and subsequent analysis such as classification or clustering. The task involves transforming textual data into numerical matrices that represent the presence or importance of terms across the documents. Here, we focus on creating two types of matrices—raw count matrices and tf-idf (term frequency-inverse document frequency) weighted matrices—after performing key preprocessing steps like stopword removal and lemmatization, limited to nouns and verbs.

Preprocessing and Methodology

The initial step involves cleaning and preprocessing the corpus. This includes tokenization, lemmatization, and filtering out stopwords. Given the specific stopwords provided by NLTK, we remove these from the tokenized text to eliminate common but less meaningful words. Next, we focus exclusively on nouns and verbs to narrow down the feature set, as these parts of speech usually carry the most semantic weight in document classification tasks.

For tokenization and lemmatization, Natural Language Toolkit (NLTK) in Python offers reliable tools. The WordNetLemmatizer from NLTK, combined with POS tagging, helps identify nouns and verbs for accurate lemmas. After preprocessing, we construct the term-document matrix using either raw counts or tf-idf weights.

Building the Term-Document Matrix with Raw Counts

In constructing the raw count matrix, each row represents a term (noun or verb), and each column corresponds to a document. The cell values denote the number of times each term appears in each document. This matrix is straightforward: after processing the text, count the frequency of each term within each document, resulting in a sparse matrix suitable for many NLP models.

Building the tf-idf Matrix and Calculation Procedure

The tf-idf weighting scheme emphasizes terms that are important within a specific document but not common across all documents, enhancing the discriminative power of feature vectors. The tf-idf score for a term in a document is calculated as:

tf-idf(t, d) = tf(t, d) * idf(t)

where tf(t, d) is the term frequency (raw count of term t in document d, normalized by total terms in d), and idf(t) is the inverse document frequency, computed as:

idf(t) = log(N / (1 + df(t)))

with N being the total number of documents and df(t) being the number of documents containing term t. The addition of 1 in the denominator prevents division by zero. The process involves calculating tf for each term in each document, computing idf for each term across the corpus, and multiplying to obtain tf-idf scores for the matrix.

Implementation in Python

Using Python libraries such as NLTK for preprocessing and sklearn for vectorization simplifies this process. The CountVectorizer can produce raw count matrices, while TfidfVectorizer computes tf-idf weights directly. Both allow custom tokenization and stopword removal, and can be adjusted to include only nouns and verbs through POS tagging.

Below is an outline of the steps involved:

  1. Preprocess each document: tokenize, POS tag, filter for nouns and verbs, lemmatize, remove stopwords.
  2. Join preprocessed tokens into a string for vectorization.
  3. Use CountVectorizer with custom tokenizer to generate the count matrix.
  4. Use TfidfVectorizer similarly to generate tf-idf matrix, understanding the internal calculation of tf-idf scores.

Sample Python Code Snippet

import nltk

from nltk.corpus import wordnet

from nltk.stem import WordNetLemmatizer

from sklearn.feature_extraction.text import CountVectorizer, TfidfVectorizer

import numpy as np

nltk.download('punkt')

nltk.download('averaged_perceptron_tagger')

nltk.download('wordnet')

stopwords = {'of', 'against', 'll', 'they', 'aren', 'our', 'that', 'shouldn', 'only', 'shan', 'o', "isn't", ...} # truncated for brevity

def get_wordnet_pos(tag):

if tag.startswith('J'):

return wordnet.ADJ

elif tag.startswith('V'):

return wordnet.VERB

elif tag.startswith('N'):

return wordnet.NOUN

elif tag.startswith('R'):

return wordnet.ADV

else:

return wordnet.NOUN

def preprocess(text):

tokens = nltk.word_tokenize(text.lower())

pos_tags = nltk.pos_tag(tokens)

lemmatizer = WordNetLemmatizer()

filtered_tokens = []

for word, tag in pos_tags:

if word in stopwords:

continue

if get_wordnet_pos(tag) in [wordnet.NOUN, wordnet.VERB]:

lemma = lemmatizer.lemmatize(word, get_wordnet_pos(tag))

filtered_tokens.append(lemma)

return ' '.join(filtered_tokens)

documents = [/ text of Doc1, Doc2, ..., Doc5 as strings /]

processed_docs = [preprocess(doc) for doc in documents]

vectorizer_counts = CountVectorizer()

X_counts = vectorizer_counts.fit_transform(processed_docs)

vectorizer_tfidf = TfidfVectorizer()

X_tfidf = vectorizer_tfidf.fit_transform(processed_docs)

Display the matrices and explain tf-idf calculation

This code provides a working foundation for constructing both raw count and tf-idf matrices from the corpus after applying the specified preprocessing steps. It demonstrates how to implement the necessary procedures to analyze textual data systematically in Python, facilitating decision-making tasks such as building decision trees based on these features.

Conclusion

Constructing a term-document matrix with and without tf-idf weighting is essential in various NLP tasks, including document classification with decision trees. The preprocessing steps of removing stopwords, lemmatizing, and selecting specific parts of speech improve the quality and relevance of the features. Implementing these steps in Python using the NLTK and scikit-learn libraries streamlines the process, ensuring reproducibility and scalability for larger corpora.

References

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