Data mining: Assignment 3

The goal of this assignment is to learn about the Naive Bayes Classifier (NBC). In this assignment we’re going to implement the NBC from scratch without using NBC library in python and perform sentiment analysis using text dataset about amazon reviews. The Naive Bayes classifier is a probabilistic machine learning technique used for classification. The algorithm works based on the assumption that the predictors space are independent. The NBC makes use of the Bayes theorem.

Import Libraries

from sklearn.datasets import load_files
import numpy as np
import pandas as pd
import re 
import string
import random
import nltk
import math
import seaborn as sns
import matplotlib.pyplot as plt
from random import seed
from random import randrange
from pylab import rcParams
nltk.download('stopwords')
from nltk.corpus import stopwords
from nltk.stem.porter import PorterStemmer
from sklearn.model_selection import train_test_split
from collections import Counter, defaultdict
from bs4 import BeautifulSoup
from nltk.tokenize import word_tokenize
from sklearn.metrics import accuracy_score
from sklearn.metrics import classification_report, confusion_matrix
from matplotlib import rc
from sklearn.feature_extraction.text import CountVectorizer
[nltk_data] Downloading package stopwords to
[nltk_data]     /Users/wisdomaselisewine/nltk_data...
[nltk_data]   Package stopwords is already up-to-date!

References

The python codes for this project are taken directly from the following sources. However, most of the codes are modified by changing or adding variable names to fit the requirements of this project.

  1. https://machinelearningmastery.com/implement-resampling-methods-scratch-python/
  2. https://curiousily.com/posts/movie-review-sentiment-analysis-with-naive-bayes/
  3. https://towardsdatascience.com/sentiment-analysis-with-python-part-2-4f71e7bde59a
  4. scikit-learn.org/stable/tutorial/text_analytics/working_with_text_data.html
  5. github.com/weihua77/mlove_mlearning/blob/master/IMDB_movie_review/Sentiment_analysis_tutorial_youtube.ipynb
  6. https://www.curiousily.com/posts/movie-review-sentiment-analysis-with-naive-bayes/
  7. https://aiaspirant.com/cross-validation/
  8. https://www.dataquest.io/blog/naive-bayes-tutorial/
  9. https://towardsdatascience.com/sentiment-analysis-with-text-mining-13dd2b33de27
  10. https://towardsdatascience.com/unfolding-na%C3%AFve-bayes-from-scratch-2e86dcae4b01

Load Data

The Amazon review dataset is considered for analysis in this project. This data can be obtained from the following sources: https://www.kaggle.com/marklvl/sentiment-labelled-sentences-data-set. The data is made up of 1000 positive and negative senitments extracted from the reviews of products. A review is considered a positive sentiment if it takes a value of 1 and 0 otherwise.

column_list = ["Reviews", "Sentiment_label"]
dataset = pd.read_csv('amazon_cells_labelled.txt', delimiter = '\t', quoting = 3,names=column_list)

Split data into training and test sets

The dataset is split into training set and testing set. The split ratio was 80% training and 20% testing sets. The training set will be used to train our NBC and the test set will be used for validating our classifier.

train_data, test_data = train_test_split(dataset, test_size=0.2, random_state=0)
#train_set, dev_set = train_test_split(train_data, test_size=0.4, random_state=0)
X,y=train_data['Reviews'],train_data['Sentiment_label']
X_test,y_test=test_data['Reviews'],test_data['Sentiment_label']
print(train_data)
                                               Reviews  Sentiment_label
687  i would advise to not purchase this item it ne...                0
500  The bose noise cancelling is amazing, which is...                1
332                        The reception is excellent!                1
979                                 Not enough volume.                0
817     Gets a signal when other Verizon phones won't.                1
..                                                 ...              ...
835  The calls drop, the phone comes on and off at ...                0
192  Lately they have been extremely nice and helpf...                1
629  I recommend iGo to anyone with different brand...                1
559               None of it works, just don't buy it.                0
684                         Chinese Forgeries Abound!.                0

[800 rows x 2 columns]

Both training and testing data are further split according to positive and negative reviews. As stated early, a review is positive if the review takes a sentiment label of 1 and negative if it takes a sentiment label of 0.

train_postive_reviews = dataset[dataset.Sentiment_label==1]
train_negative_reviews = dataset[dataset.Sentiment_label==0]
X1, y1=train_postive_reviews['Reviews'],train_postive_reviews['Sentiment_label']
X2, y2=train_negative_reviews['Reviews'],train_negative_reviews['Sentiment_label']


test_postive_reviews = dataset[dataset.Sentiment_label==1]
test_negative_reviews = dataset[dataset.Sentiment_label==0]
X_test1,y_test1=test_postive_reviews['Reviews'],test_postive_reviews['Sentiment_label']
X_test2,y_test2=test_negative_reviews['Reviews'],test_negative_reviews['Sentiment_label']
print(X1)
print(X2)

Data cleaning

The original dataset is very messy, containing lots of punctuations, abbreviations, html format, numbers, and upper case letter. We removed all the unwanted information in the data and also change all upper case letters to small case letters. A preview of part of the cleaned data is shown below.

def clean(text):
    no_html = BeautifulSoup(text).get_text()
    clean = re.sub("[^a-z\s]+", " ", no_html, flags=re.IGNORECASE)
    text = text.lower().strip()
    text = " ".join([w for w in text.split() if len(w) > 2])
    text = re.sub('\[.*?\]', '', text)
    text = re.sub('https?://\S+|www\.\S+', '', text)
    text = re.sub('<.*?>+', '', text)
    text = re.sub('[%s]' % re.escape(string.punctuation), '', text)
    text = re.sub('\n', '', text)
    text = re.sub('\w*\d\w*', '', text)
    return re.sub("(\s+)", " ", text)
dataset['Reviews'] = dataset['Reviews'].apply(clean)
print(dataset)
                                               Reviews  Sentiment_label
0         there way for plug here the unless converter                0
1                            good case excellent value                1
2                                great for the jawbone                1
3    tied charger for conversations lasting more th...                0
4                                        the mic great                1
..                                                 ...              ...
995  the screen does get smudged easily because tou...                0
996         what piece junk lose more calls this phone                0
997                        item does not match picture                0
998  the only thing that disappoint the infra red p...                0
999  you can not answer calls with the unit never w...                0

[1000 rows x 2 columns]

Tokenization

After cleaning our dataset, we proceed to create the Bag of Words model. We do this by splitting the text into individual words process known as tokenization. Words that occur in less than or equal 5 times were removed from the dataset. The output below shows some of the words in the data and the corresponding number of times they appear in the text.

def tokenize(X):                
    freq = {}
    for txt in X:
        tokens = nltk.RegexpTokenizer(r"\w+").tokenize(txt)     
        for token in tokens:                                    
            if token not in freq.keys():
                freq[token] = 1
            else:
                freq[token] += 1
                
    return freq  


def sort_freq(freq_X):                       
    word_sorted = dict(sorted(freq_X.items(), key=lambda x: x[1], reverse=True))
    return word_sorted
    
def remove_rareword(word_sorted):               
    remove = []                                      
    for key, freq in word_sorted.items(): 
        if freq <= 5 : 
            remove.append(key) 

    for i in remove: 
        del word_sorted[i] 
    return   word_sorted
    
train_freq = tokenize(X)
sorted_train = sort_freq(train_freq)
sorted_train = remove_rareword(sorted_train)

test_freq = tokenize(X_test)
sorted_test = sort_freq(test_freq)
sorted_test = remove_rareword(sorted_test)


trp_freq = tokenize(X1)
sorted_trp = sort_freq(trp_freq)
sorted_trp = remove_rareword(sorted_trp)

trn_freq = tokenize(X2)
sorted_trn = sort_freq(trn_freq)
sorted_trn = remove_rareword(sorted_trn)


tep_freq = tokenize(X_test1)
sorted_tep = sort_freq(tep_freq)
sorted_tep = remove_rareword(sorted_tep)


ten_freq = tokenize(X_test2)
sorted_ten = sort_freq(ten_freq)
sorted_ten = remove_rareword(sorted_ten)

print(sorted_train )
print()

print(sorted_trp)
print()

print(sorted_trn )
{'the': 323, 'I': 309, 'and': 261, 'it': 193, 'is': 182, 'a': 168, 'to': 157, 'phone': 134, 'this': 126, 'my': 113, 'with': 96, 'for': 92, 'of': 90, 'The': 77, 'in': 76, 'on': 75, 'not': 74, 'was': 72, 'very': 64, 't': 64, 'that': 62, 'have': 59, 'It': 57, 'great': 54, 'good': 51, 'This': 45, 'you': 45, 'product': 40, 'headset': 40, 'had': 38, 'use': 36, 'quality': 34, 'sound': 33, 's': 32, 'well': 30, 'are': 30, 'as': 30, 'Great': 29, 'one': 29, 'works': 29, 'all': 28, 'work': 28, 'but': 28, 'so': 27, 'ear': 27, 'has': 26, 'like': 25, 'from': 25, 'battery': 25, 've': 24, 'would': 23, 'up': 23, 'your': 23, 'time': 22, '2': 22, 'be': 22, 'me': 22, 'than': 21, 'recommend': 20, 'out': 19, 'or': 19, 'get': 19, 'case': 19, 'price': 19, 'no': 18, 'm': 18, 'at': 18, 'am': 17, 'can': 17, 'any': 17, 'when': 16, 'just': 16, 'more': 16, 'only': 16, 'service': 16, 'does': 16, 'Very': 15, 'really': 15, 'don': 15, 'did': 14, 'bought': 14, 'these': 14, 'new': 14, 'car': 14, 'could': 14, 'if': 14, 'too': 14, 'first': 14, 'because': 14, 'which': 13, 'Not': 13, 'been': 13, 'then': 13, 'love': 13, 'better': 13, 'nice': 13, 'charge': 13, 'best': 13, 'now': 13, 'about': 13, 'used': 13, 'money': 13, 'ever': 13, 'an': 13, 'item': 12, 'worked': 12, 'reception': 12, 'camera': 12, 'them': 12, 'easy': 12, 'fine': 12, 'even': 12, 'while': 12, 'Good': 12, 'happy': 12, 'If': 12, 'cell': 12, 'after': 12, 'enough': 11, 'comfortable': 11, 'problems': 11, 'thing': 11, 'buy': 11, 'will': 11, 'again': 11, 'there': 11, 'fit': 11, 'also': 11, 'Excellent': 11, 'hear': 11, 'two': 11, 'charger': 11, 'off': 11, 'i': 10, 'excellent': 10, 'do': 10, 'Works': 10, 'My': 10, 'made': 10, 'still': 10, 'problem': 10, 'doesn': 10, 'few': 10, 'screen': 10, 'device': 10, 'Don': 10, 'bluetooth': 10, 'make': 10, 'purchase': 9, 'other': 9, 'phones': 9, 'Motorola': 9, 'using': 9, 'fits': 9, 'long': 9, 'waste': 9, 'same': 9, 'makes': 9, 'what': 9, 'got': 9, 'bad': 9, 'right': 9, 'call': 9, 'its': 9, 'Battery': 8, 'life': 8, 'impressed': 8, 'design': 8, 'pretty': 8, 'wear': 8, 'cool': 8, 'back': 8, 'they': 8, 'years': 8, 'much': 8, 'looks': 8, 'by': 8, 'far': 8, '1': 8, 'plug': 8, 'Phone': 8, 'So': 8, 'people': 8, 'clear': 7, 'A': 7, 'lot': 7, 'headsets': 7, 'without': 7, 'Does': 7, 'year': 7, 'days': 7, 'working': 7, 'way': 7, 'software': 7, 'poor': 7, 'small': 7, '3': 7, 'went': 7, 'You': 7, 'into': 7, 'calls': 7, 'since': 7, 'months': 7, 'found': 7, 'three': 6, 'look': 6, 'Jabra': 6, 'every': 6, 'voice': 6, 'think': 6, 'several': 6, 'light': 6, 'some': 6, 'All': 6, 'NOT': 6, 'customer': 6, 'less': 6, 'minutes': 6, 'both': 6, 'loud': 6, 'Nice': 6, 'audio': 6, 'say': 6, 'worst': 6, 'Amazon': 6, 'black': 6, 'looking': 6, 'around': 6, 'end': 6, 'over': 6, 'being': 6, 'need': 6, 'take': 6, 'After': 6, 'priced': 6, 'broke': 6, 'tried': 6, 'couldn': 6, 'Its': 6}

{'the': 192, 'and': 187, 'I': 179, 'is': 141, 'a': 101, 'it': 99, 'to': 87, 'phone': 79, 'this': 73, 'my': 66, 'with': 65, 'for': 63, 'great': 62, 'very': 58, 'good': 49, 'of': 49, 'The': 47, 'It': 45, 'on': 44, 'have': 38, 'was': 35, 'in': 33, 'Great': 32, 'that': 32, 'This': 32, 'well': 32, 'works': 31, 'quality': 30, 'product': 30, 'headset': 29, 'sound': 25, 'price': 24, 'has': 23, 'are': 22, 'one': 22, 's': 22, 'use': 21, 'had': 21, 'so': 21, 'you': 20, 'recommend': 20, 'as': 20, 've': 19, 'case': 18, 'like': 18, 'than': 18, 'but': 18, 't': 18, 'best': 17, 'all': 17, 'from': 16, 'love': 16, 'ear': 16, 'would': 16, 'Good': 15, 'Works': 15, 'battery': 14, 'any': 14, 'not': 14, 'your': 14, 'Excellent': 13, 'up': 13, 'nice': 13, 'can': 12, 'fine': 12, 'been': 12, 'happy': 12, 'really': 12, 'excellent': 12, '2': 12, 'am': 12, 'even': 11, 'time': 11, 'easy': 11, 'reception': 11, 'be': 11, 'Very': 10, 'camera': 10, 'comfortable': 10, 'm': 10, 'no': 10, 'car': 10, 'these': 10, 'new': 9, 'Nice': 9, 'bluetooth': 9, 'just': 9, 'work': 9, 'better': 9, 'far': 9, 'also': 9, 'cell': 9, 'fits': 9, 'got': 9, 'working': 9, 'an': 9, 'bought': 8, 'me': 8, 'too': 8, 'pretty': 8, 'purchase': 8, 'years': 8, 'more': 8, 'because': 8, 'device': 8, 'or': 8, 'item': 8, 'used': 8, 'Phone': 8, 'get': 8, 'Battery': 8, 'at': 8, 'when': 7, 'without': 7, 'now': 7, 'charger': 7, 'clear': 7, 'made': 7, 'about': 7, 'i': 7, 'cool': 7, 'wear': 7, 'lot': 7, 'again': 7, 'using': 7, 'worked': 7, 'service': 7, 'highly': 7, 'two': 6, 'people': 6, 'out': 6, 'does': 6, 'problems': 6, 'they': 6, 'them': 6, 'found': 6, 'other': 6, 'both': 6, 'Motorola': 6, 'My': 6, 'fit': 6, 'Jabra': 6, 'there': 6, 'did': 6, 'perfectly': 6, 'ever': 6, 'which': 6, 'life': 6, 'long': 6, 'much': 6}

{'the': 223, 'I': 187, 'it': 136, 'and': 121, 'to': 110, 'a': 107, 'is': 102, 'not': 79, 'this': 79, 'phone': 75, 'of': 69, 'my': 64, 't': 58, 'The': 55, 'for': 53, 'in': 52, 'was': 52, 'with': 46, 'that': 45, 'on': 45, 'you': 40, 'have': 35, 'It': 30, 'had': 27, 'very': 23, 'but': 23, 'This': 23, 'work': 23, 'as': 22, 's': 22, 'me': 21, 'product': 21, 'use': 20, 'are': 19, 'battery': 19, 'money': 18, 'ear': 18, 'your': 18, 'one': 17, 'all': 17, 'out': 17, 'only': 17, 'be': 17, 'from': 16, 'headset': 16, 'would': 16, 'or': 15, 'time': 15, 'at': 15, 'get': 14, 'up': 14, 'sound': 14, 'first': 14, 'Not': 14, '2': 14, 'service': 14, 'quality': 14, 'like': 13, 'after': 13, 'good': 13, 'does': 13, 'when': 13, 'if': 13, 'charger': 12, 'then': 12, 'waste': 12, 'could': 12, 'off': 12, 'too': 12, 'm': 12, 'don': 12, 'will': 12, 'If': 11, 'about': 11, 'so': 11, 'Don': 11, 'ever': 11, 'no': 10, 'more': 10, 'hear': 10, 'charge': 10, 'buy': 10, 'enough': 10, 'bad': 10, 'can': 10, 'worked': 10, 'thing': 10, 'case': 10, 'did': 10, 'really': 10, 'same': 10, 'has': 10, 'than': 9, 'NOT': 9, 'doesn': 9, 'few': 9, 'which': 9, 'item': 9, 'poor': 9, 'an': 9, 'calls': 9, 've': 9, 'still': 9, 'now': 9, 'because': 9, 'worst': 9, 'there': 8, 'plug': 8, 'volume': 8, '5': 8, 'bought': 8, 'new': 8, 'am': 8, 'Very': 8, 'just': 8, 'make': 8, 'while': 8, 'My': 8, 'unit': 8, 'by': 7, 'right': 7, 'them': 7, 'two': 7, 'design': 7, 'problem': 7, 'didn': 7, 'car': 7, 'You': 7, '3': 7, 'what': 7, 'broke': 7, 'better': 7, 'disappointed': 7, 'well': 7, 'do': 7, 'back': 7, 'also': 7, 'used': 7, 'piece': 7, 'What': 6, 'into': 6, 'went': 6, 'Poor': 6, 'A': 6, 'months': 6, '1': 6, 'i': 6, 'completely': 6, 'these': 6, 'over': 6, 'its': 6, 'fit': 6, 'call': 6, 'company': 6, 'horrible': 6, 'junk': 6, 'recommend': 6, 'terrible': 6, 'However': 6, 'customer': 6, 'made': 6, 'difficult': 6, 'Does': 6, 'even': 6, 'cheap': 6}

Vocabulary list/bag of words and corresponding word frequency displayed below

train_list= [i  for  i in  sorted_train.keys()]
trp_list= [i  for  i in  sorted_trp.keys()]
trn_list= [i  for  i in  sorted_trn.keys()]

print("Bag of words for overall training set is")
print(train_list[:10]) 
Bag of words for overall training set is
['the', 'I', 'and', 'it', 'is', 'a', 'to', 'phone', 'this', 'my']
train_freq= [i  for  i in  sorted_train.values()]    # the frequence for each word
print(train_freq[:10])
[323, 309, 261, 193, 182, 168, 157, 134, 126, 113]
bagwords=list()                                   # the same dictionary just in a form of list
for i ,j in zip(train_list,train_freq):
    bagwords.append([i,j])
print(bagwords[:10])  
[['the', 323], ['I', 309], ['and', 261], ['it', 193], ['is', 182], ['a', 168], ['to', 157], ['phone', 134], ['this', 126], ['my', 113]]

Creating reverse index matrix

In this section we created a sparse matrix of 0’s and 1’s for our given data.

def sparse_matrix_review(X):
    words_vectors = []
    for txt,i  in zip(X,y):   
        words_tokens = nltk.RegexpTokenizer(r"\w+").tokenize(txt)       
        sparse_vec = []
        for token in sorted_train:   
            if token in words_tokens:
                sparse_vec.append(1)
            else:
                sparse_vec.append(0)
        words_vectors.append([sparse_vec,i])
    return words_vectors
words_vectors_review = np.asarray(sparse_matrix_review(X))  
print(words_vectors_review[:1]) 
[[list([0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])
  0]]


/Users/wisdomaselisewine/opt/anaconda3/lib/python3.8/site-packages/numpy/core/_asarray.py:83: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray
  return array(a, dtype, copy=False, order=order)
# Bag of Words matrix represnation 
words_vectors_postive_x = np.asarray(sparse_matrix_review(X1))  

words_vectors_negative_x = np.asarray(sparse_matrix_review(X2))  

words_vectors_review_test = np.asarray(sparse_matrix_review(X_test))     
words_vectors_postive_x_test = np.asarray(sparse_matrix_review(X_test1))  
words_vectors_negative_x_test = np.asarray(sparse_matrix_review(X_test2))

Calculating probabilities

As stateed earlier, NBC uses the Bayes theorem and with a strong assumption that the set of predictors in the data are independent. In this case, we will assume that each word is independent of other words.

The Bayes theorem is defined as; P(Y∣X)= P(X∣Y)P(Y)/P(X), where X and Y are events, P(Y) is the prior probability, P(X∣Y) is the likelihood, and P(X) is the predictor prior probability. This equation is read as the conditional probability of event Y occurring given X has already occurred.

To find this probability, we will calculate the probability of X occurring given Y has occurred and multiply the results by the probability of Y occurring and then divid everything by the probability of X occurring.

In this section, we calculated the following:

  1. The P[the probability of “the” occurring]; Over here, we take the total number of “the” that occurred in the data and divid this by the total number of words in the data.
  2. The P[the probability of “the” occurring / “positive” review]; Over here, we took the total number of “the” that occurred in the positive data and divide this by the total number of positive words in the data.
count=0

for txt in X:
    tokens = nltk.RegexpTokenizer(r"\w+").tokenize(txt)    
    if 'the' in tokens:
        count+=1
                
count1=0
for txt in X1:
    tokens = nltk.RegexpTokenizer(r"\w+").tokenize(txt)    
    if 'the' in tokens:
        count1+=1
print("number of ‘the’", count)   
print ("P[The]= ",count/ len(X))

print()
              
print("number of postive ‘the’", count1)   
print ("P[The| Postive]= ", count1/ len(X1))
     
number of ‘the’ 244
P[The]=  0.305

number of postive ‘the’ 147
P[The| Postive]=  0.294

Splitting training data into training set and development set

# All data
train_set = words_vectors_review[:500]         
dev_set = words_vectors_review[500:]

train_pos = words_vectors_postive_x[:250]
dev_pos = words_vectors_postive_x[250:]

train_neg = words_vectors_negative_x[:250]
dev_neg = words_vectors_negative_x[250:]

Words count and conditional probabilities calculations

train_sum = [sum(x) for x in zip(*train_set[:,0])] 
train_sum_pos = [sum(x) for x in zip(*train_pos[:,0])]
probablity_pos = [float(x)/float(len(X1)) for x in train_sum_pos] 
train_sum_neg = [sum(x) for x in zip(*train_neg[:,0])] 
probablity_neg = [float(x)/float(len(X1)) for x in train_sum_neg]

print("number of occurrence for train set")
print(train_sum[:10])

print()

print("number of occurrence for train postive set")
print(trp_list[:10])

print()
      
print("conditional probablity for train postive set")
print(probablity_pos[:10])

print("number of occurrence for train negative set")
print(trn_list[:10])

print("conditional probablity for train negative set")
print(probablity_neg[:10])
number of occurrence for train set
[157, 153, 141, 100, 107, 95, 80, 75, 76, 52]

number of occurrence for train postive set
['the', 'and', 'I', 'is', 'a', 'it', 'to', 'phone', 'this', 'my']

conditional probablity for train postive set
[0.118, 0.134, 0.15, 0.078, 0.114, 0.082, 0.06, 0.088, 0.074, 0.048]
number of occurrence for train negative set
['the', 'I', 'it', 'and', 'to', 'a', 'is', 'not', 'this', 'phone']
conditional probablity for train negative set
[0.154, 0.16, 0.102, 0.092, 0.088, 0.1, 0.084, 0.068, 0.082, 0.052]
Pos_Prob=list()                                   
for i ,j in zip(trp_list,probablity_pos):
    Pos_Prob.append([i,j])
    
Neg_Prob=list()                                   
for i ,j in zip(trn_list,probablity_neg):
    Neg_Prob.append([i,j])
     
probablity_pos_class = np.log(sum(probablity_pos))* float(len(X1)/len(X)) 
probablity_neg_class = np.log(sum(probablity_neg))* float(len(X2)/len(X))

print(probablity_pos_class)
print(probablity_pos_class)
0.709942545882375
0.709942545882375

Laplace Smoothing

#Smoothing  Postive
probablity_pos_Laplace = [float(x+1)/float(len(X1)+2) for x in train_sum_pos]  
probablity_pos_class_Laplace = np.log(sum(probablity_pos_Laplace))* float(len(X1)/len(X))

probablity_neg_Laplace = [float(x+1)/float(len(X2)+2) for x in train_sum_neg]  
probablity_neg_class_Laplace = np.log(sum(probablity_neg_Laplace))

print(probablity_neg_class_Laplace)
print(probablity_pos_class_Laplace)
1.30596110659363
0.7966982057315095

Printing words frequencies in training set

freq_post = dict(zip(trp_list,probablity_pos)) 
tokens_without_sw = [word for word in freq_post.keys() if not word in stopwords.words()]

freq_neg = dict(zip(trn_list,probablity_neg)) 
tokens_without_sw_negative = [word for word in freq_neg.keys() if not word in stopwords.words()]

print(tokens_without_sw[:10])

print(tokens_without_sw[1:11])
['I', 'phone', 'great', 'good', 'The', 'It', 'Great', 'This', 'well', 'works']
['phone', 'great', 'good', 'The', 'It', 'Great', 'This', 'well', 'works', 'quality']
def classify(review):
    pos_p = 1
    neg_p = 1
    for word in review:
        if word in Pos_Prob:
            pos_p *=Pos_Prob[word] * float(len(X1)/len(X))
        if word in Neg_Prob:
            neg_p = neg_p[word] * float(len(X2)/len(X))
    if(pos_p>=neg_p):
        return 1
    if(pos_p<neg_p):
        return 0

print(classify('text'))
1

Determining accuracy from the development dataset

predict_label = 0
for row in dev_set[:,1]:
    if row == int(classify('text')):
        predict_label+=1
        
accuracy = float(predict_label/len(dev_set))
print(accuracy)    
0.48333333333333334

Cross-validation

def cross_validation(dataset, k):
    dataset_split = list()
    dataset_copy = list(dataset)
    fold_size = int(len(dataset) / k)     
    for i in range(k):
        fold = list()
        while len(fold) < fold_size:
            index = randrange(len(dataset_copy))
            fold.append(dataset_copy.pop(index))
        dataset_split.append(fold)
    return dataset_split


seed(10)
dataset = dev_set
k = cross_validation(dataset, 5)
print(k)
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       1], dtype=object)]]

Final accuracy after cross-validation

Before performing cross-validation, our classifier had predicted accuracy of 48.3%. However, after cross-validation, we obtained an accuracy rate of 51.5%. This suggest an improvement over the initial model.

predict_label__ = 0
for row in words_vectors_review_test[:,1]:
    if row == int(classify('text')):
        predict_label__+=1
        
accuracy__ = float(predict_label__/len(words_vectors_review_test))
print(accuracy__) 
0.515

Conclusions and contributions

As stated earlier, the python codes for this project are been referenced under references at the beginning. My contribution is to modify the codes slightly to fit the requirement of this project. I have also added some explanations to help readers understand what the codes for each section do.

Wisdom Aselisewine
Wisdom Aselisewine
Ph.D Student of Statistics

My research interests include Machine Learning Methods, Survival Analysis, Statistical Computing, and Actuarial Science.