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CS 145 Homework #6

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1 Naive Bayes for Text (50 points)
Naive Bayers is one generative model for text classification. In the problem, you are given a
document in dataset folder. The original data comes from “20 newsgroups”. You can use the
provided data files to save efforts on preprocessing.
(a) Complete the implementation of Naive Bayes model for text classification in nbm.py. After
that, run nbm sklearn.py, which uses sklearn to implement naive bayes model for text
classification (Note that the dataset is slightly different).
(b) Report your classification accuracy on train and test documents. Also report your classification
matrix. Show one example document that Naive Bayes classifies incorrectly ((you can fill in
the following table).
(c) Question: Is Naive Bayes a generative model or discriminative model and Why? What is the
difference between Naive Bayes classifier and Logistic Regression? What are the pros and
cons of Naive Bayes for text classification task?
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Introduction to Data Mining (UCLA CS 145) Homework 6
Table 1: Report accuracy for Naive Bayes Model
Train set accuracy Test set accuracy
sklearn implementation
your implementation
Table 2: Incorrect Examples
Words (count) in the example document Predicted label Truth label
For example, student(4), education(2), etc Class A Class B
(d) Question: Can you apply Naive Bayes model to identify spam emails from normal ones?
Briefly explain your method.
2 Topic Modeling: Probabilistic Latent Semantic Analysis (pLSA)
(50 points)
In this section, you will implement Probabilistic Latent Semantic Analysis (pLSA) by EM algorithm.
(a) Complete the implementation of pLSA in plsa.py. You need to finish the E step, M step and
likelihood function.
(b) Choose different K (number of topics) in plsa.py. What is your option for a reasonable K in
dataset1.txt and dataset2.txt? Give your results of 10 words under each topic by filling
in the following table (suppose you set K = 4).
Table 3: Topic words
Dataset 1
Topic 1 Topic 2 Topic 3 Topic 4
Dataset 2
Topic 1 Topic 2 Topic 3 Topic 4
(c) Question: Are there any similarities between pLSA and GMM model? Briefly explain your
thoughts.
(d) Question: What are the disadvantages of pLSA? Consider its generalizing ability to new
unseen document and its parameter complexity, etc.
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