Email Analysis: K-Means Clustering

Clustering is an 'unsupervised learning' algorithm that has many diverse applications from computer graphics to economics. In Natural Language Processing, clustering has been used to determine authorship of the federalist papers, and analyze hundrends of thousands of documents as they are released in an instant. Clustering is particularly useful when you want to get a snapshot of a large dataset you have at hand.

Pre-analysis Houskeeping - Imports and Defining Methods

In [1]:
%matplotlib inline

# Basic Imports
from __future__ import division
import re, os, logging, sys, random, json, xml.etree.ElementTree 
from time import time
from operator import itemgetter
from datetime import date
from datetime import timedelta
from dateutil.parser import parse
from pprint import pprint

# Sci-kit learn Machine Learning Tookit Imports
from sklearn.cluster import KMeans
from sklearn.feature_extraction.text import TfidfVectorizer
from sklearn.decomposition import PCA
from sklearn.decomposition import TruncatedSVD
from sklearn.pipeline import make_pipeline
from sklearn.preprocessing import Normalizer
from sklearn.cross_validation import cross_val_score
from sklearn import metrics
from sklearn.metrics import pairwise_distances

# Plotting Imports
import numpy as np
from scipy.stats import mode
import matplotlib.pyplot as plt, mpld3
from mpld3 import plugins
from click_info import ClickInfo
# mpld3.enable_notebook()

# Data Object Related Imports
from peewee import *
from Email import Email

def make_histogram(innerDict):
    x = np.arange(len(innerDict.keys()))
    y = innerDict.values()
    fig = plt.figure(figsize=(10,10))
    ax = fig.add_subplot(1,1,1)
    ax.bar(x, y)
    ax.set_xticks(x)
    ax.set_xticklabels(innerDict.keys(), rotation=70)
    plt.show()

db = SqliteDatabase('emails.db')
db.connect()

Perpare the tools we will use

In [2]:
N_CLUSTERS = 3
reduce_dimensionality = True
color_by_party = True
k_means = KMeans(n_clusters=N_CLUSTERS, init='k-means++', max_iter=100, n_init=1, verbose=True)
vectorizer = TfidfVectorizer(max_df=0.5, min_df=0.1, stop_words='english')
lsa = TruncatedSVD(2)

Perpare the Data

In [3]:
emails = np.array([email for email in Email.select()])
text = np.array([email.text for email in emails])
parties = np.array([email.sender.party if email and email.sender else "" for email in emails])
vectors = vectorizer.fit_transform(text)
if reduce_dimensionality == True:
    X = lsa.fit_transform(vectors)
else:
    X = vectors

Run K-means Clustering

In [4]:
km = k_means.fit(X)
Initialization complete
Iteration  0, inertia 30.740
Iteration  1, inertia 25.361
Iteration  2, inertia 24.976
Iteration  3, inertia 24.437
Iteration  4, inertia 23.784
Iteration  5, inertia 23.079
Iteration  6, inertia 22.387
Iteration  7, inertia 21.835
Iteration  8, inertia 21.458
Iteration  9, inertia 21.198
Iteration 10, inertia 21.081
Iteration 11, inertia 21.037
Iteration 12, inertia 21.015
Iteration 13, inertia 21.008
Converged at iteration 13
In [5]:
k_means_labels = k_means.labels_
k_means_cluster_centers = k_means.cluster_centers_
k_means_labels_unique = np.unique(k_means_labels)
terms = vectorizer.get_feature_names()
In [6]:
if reduce_dimensionality == False:
    order_centroids = k_means_cluster_centers.argsort()[:, ::-1]
    for i in range(N_CLUSTERS):
        print [(terms[ind], k_means_cluster_centers[i][ind]) for ind in order_centroids[i, :100]]
        print ""
In [7]:
for k in range(N_CLUSTERS):
    z = vectors.toarray()[k_means_labels == k]
    wordz_tfidf = [(terms[i], z[:,i].sum()) for i in range(z.shape[1])]
    wordz_tfidf = sorted(wordz_tfidf, key=lambda x: x[1], reverse=True )
    print wordz_tfidf[:100]
    print ""
[(u'mark', 46.566225347683897), (u'friends', 39.772030118608086), (u'contributions', 33.053447787309558), (u'make', 32.929366540944741), (u'election', 32.693995138163714), (u'just', 30.628721499949737), (u'support', 30.427479539192536), (u'right', 29.986624889841806), (u'today', 29.790499263856699), (u'race', 28.767901613576871), (u'contribute', 27.678963245585027), (u'win', 27.501384756373859), (u'day', 26.628499538762917), (u'like', 26.011502538442233), (u'deadline', 25.892118706404084), (u'know', 25.86129073231627), (u'friend', 24.989794894257837), (u'thank', 24.929101716939375), (u'goal', 24.147403326788965), (u'going', 23.711114244289433), (u'list', 22.740658381642945), (u'new', 22.356680279132096), (u'vote', 22.270227146225459), (u'team', 22.230919445453264), (u'voters', 21.785227195649025), (u'ad', 21.743567418987904), (u'thanks', 21.191304570103977), (u'time', 21.188989785769305), (u'days', 20.751944462829972), (u'ads', 20.715981708435969), (u'2014', 20.607833057526108), (u'let', 20.147769015255964), (u'tax', 19.685885631319973), (u'll', 19.462587101198707), (u'tonight', 19.2791547724857), (u'deductible', 18.8291249544741), (u'sure', 18.644156051896278), (u'final', 18.368985384376973), (u'000', 18.246648837051882), (u'midnight', 17.997677546800059), (u'10', 17.601470854399068), (u'join', 17.553266444280933), (u'diaemailid', 17.310431258685995), (u'thread', 17.310431258685995), (u'polls', 17.295133989162348), (u'rights', 17.262435051331771), (u'box', 17.098859047161955), (u'big', 16.605141355180407), (u'reserved', 16.350500534867624), (u'people', 16.088781109170583), (u'content', 15.956558448343339), (u'policy', 15.849157983043321), (u'hours', 15.622003173128), (u'gifts', 15.585892255089158), (u'best', 15.334287803594407), (u'important', 15.285526522774932), (u'close', 15.183136681739548), (u'working', 15.181923680922235), (u'senator', 14.973021230817642), (u'privacy', 14.92962369943265), (u'don', 14.90953132635893), (u'fight', 14.742892414254362), (u'strong', 14.644434043575909), (u'grassroots', 14.574496190969063), (u'want', 14.527123853359216), (u'money', 14.397715826052643), (u'reach', 14.373815119047345), (u'political', 14.036472087501638), (u'way', 14.027168640617143), (u'po', 13.977213625528105), (u'country', 13.947292760458497), (u'stand', 13.93739933526021), (u'away', 13.765298081800482), (u'week', 13.551672850204987), (u'work', 13.549267974649153), (u'contribution', 13.513049042393192), (u'send', 13.312489975514238), (u'hard', 13.151506307839663), (u'50', 13.090857006896846), (u'supporters', 12.96057553723192), (u'http', 12.575154811215807), (u'left', 12.525106376489918), (u'message', 12.378967057802639), (u'washington', 12.356829572658018), (u'special', 12.282357301031954), (u'news', 12.18581927667616), (u'momentum', 12.172112809623657), (u'state', 12.116598593449904), (u'donation', 12.110208713413888), (u'critical', 11.978272423870205), (u'got', 11.82534161660508), (u'raise', 11.807777430338689), (u'standing', 11.721358137144357), (u'field', 11.600807355126344), (u'record', 11.519757455187939), (u'families', 11.480783142640188), (u'victory', 11.449038634241454), (u'million', 11.420578234385419), (u'buy', 11.315002023591131), (u'majority', 11.261735448113921)]

[(u'senator', 82.78213082436541), (u'vote', 70.573666291134614), (u'message', 60.994112135822768), (u'obama', 57.839905108249219), (u'today', 56.674262948751682), (u'political', 50.373397803280625), (u'mitch', 49.0130209059962), (u'support', 48.355737822084969), (u'box', 46.851126900127554), (u'washington', 44.56745137292058), (u'future', 43.161951334493523), (u'government', 42.930932003092316), (u'state', 42.582391915587444), (u'election', 42.27499702342017), (u'make', 42.250393050815887), (u'new', 41.907198984836221), (u'united', 40.544166249290875), (u'people', 39.883749442033277), (u'states', 39.728122052949914), (u'receive', 39.515852093207648), (u'just', 37.995498948587098), (u'day', 37.926607530100988), (u'know', 37.265908515994028), (u'emails', 35.876196331928632), (u'team', 34.700654415584602), (u'mcconnell', 33.895350260932254), (u'like', 33.593794603384083), (u'www', 33.585320717638716), (u'time', 33.064948987930457), (u'join', 32.556115753559681), (u'committee', 31.391089978016382), (u'case', 31.114579910493163), (u'country', 31.014167972798056), (u'receiving', 30.676151717426844), (u'voters', 30.438067024117544), (u'friend', 30.256375873655816), (u'stand', 29.751356220076097), (u'right', 29.500808206870758), (u'years', 29.409405535493356), (u'families', 29.128557388355414), (u'makes', 28.974614907660939), (u'link', 28.890909932417269), (u'po', 28.818396073458157), (u'online', 28.429297530558514), (u'general', 28.207835903734011), (u'sure', 28.148731899005384), (u'stop', 27.444538668723176), (u'believe', 26.596967487132545), (u'work', 26.509656954957283), (u'thank', 26.45394096577693), (u'days', 26.361084792506627), (u'republican', 26.071361801496288), (u'let', 24.894725412848381), (u'november', 23.636012486406905), (u'want', 23.500429462248384), (u'list', 23.286435248673978), (u'important', 22.993755183648574), (u'forward', 22.775878852478332), (u'race', 22.77360757934807), (u'working', 22.533010680019249), (u'friends', 22.339370540720374), (u'thanks', 22.014992641326604), (u'win', 21.234764373545016), (u'way', 21.147771789129916), (u'big', 20.653371086003045), (u'contribution', 20.621689766737401), (u'send', 20.596738520611485), (u'ad', 20.564021848704055), (u'going', 20.540405315648208), (u'record', 20.401243034062631), (u'week', 20.391610569035528), (u'final', 20.325003076878037), (u'voting', 20.163744929064425), (u'making', 19.652879094666488), (u'tomorrow', 19.461285186984298), (u'diaemailid', 19.440240356523226), (u'thread', 19.440240356523226), (u'fight', 19.40968924766397), (u'agenda', 19.057446771182143), (u'strong', 19.053856529227907), (u'standing', 18.816324275404231), (u'year', 18.771043308941607), (u'polls', 18.356481413964982), (u'manager', 18.256083202611599), (u'news', 18.0705027685249), (u'supporters', 17.708594540420027), (u'2014', 17.43219068680375), (u'best', 17.16750640700743), (u'contribute', 17.016463229156031), (u'october', 16.467950971268696), (u'majority', 16.228076114178528), (u'left', 16.19893532990525), (u'momentum', 15.825490338850724), (u'money', 15.671338494988589), (u'got', 15.505934338013521), (u'tonight', 15.012601942193497), (u'll', 14.727748479627799), (u'don', 14.475657004742434), (u'weeks', 14.409692813652329), (u'victory', 14.239544175994064)]

[(u'express', 176.76353112179058), (u'actblue', 67.566269087457798), (u'immediately', 64.348460211256011), (u'donation', 62.056310932934025), (u'payment', 61.770781710174262), (u'saved', 61.357073468038593), (u'25', 59.878065952480974), (u'_if', 57.875705966132827), (u'mark', 57.561093917323639), (u'goal', 52.556453665359527), (u'contribute', 47.593614095145028), (u'race', 47.439286898995135), (u'10', 47.369571989910185), (u'koch', 47.16598324245259), (u'right', 46.875940345564501), (u'win', 46.425430260253499), (u'50', 45.833161143506537), (u'money', 44.981425132994964), (u'information', 44.0887759063733), (u'don', 42.007022476785131), (u'election', 40.708245091365022), (u'day', 39.991229291560771), (u'democratic', 39.984746822119689), (u'000', 39.434471193138506), (u'friends', 39.330003903198239), (u'rove', 38.647191800402609), (u'make', 38.235679251494993), (u'majority', 37.274995333043307), (u'midnight', 37.166313908329741), (u'days', 37.114413961143399), (u'friend', 36.487672342539902), (u'brothers', 36.12837988339956), (u'info', 34.522352044421027), (u'lose', 34.165492204589782), (u'll', 33.327609375110633), (u'contributions', 32.498163065976335), (u'polls', 32.28388358065795), (u'just', 31.771636200231999), (u'gifts', 31.335258615418784), (u'tax', 30.863607607944001), (u'fec', 30.827574045585944), (u'million', 30.727492537959229), (u'deadline', 30.714055875157563), (u'fight', 30.63196594307772), (u'deductible', 30.553968017525342), (u'field', 30.512592686717408), (u'going', 30.114082680760067), (u'thanks', 29.168970738120453), (u'republicans', 28.978245948130489), (u'dear', 28.876276389646247), (u'diaemailid', 28.411455893815202), (u'thread', 28.411455893815202), (u'know', 28.406501282124044), (u'new', 28.343796522954825), (u'list', 28.182096215130347), (u'team', 28.166403960481254), (u'voters', 28.084631251408425), (u'special', 27.478611789647378), (u'spending', 26.771667544902996), (u'grassroots', 26.586615445155772), (u'democrats', 26.23064366721988), (u'time', 24.707983971142784), (u'hit', 24.621635775132546), (u'thank', 24.51277570410376), (u'support', 24.473119487375286), (u'close', 24.179523637207307), (u'final', 23.870267196100528), (u'reach', 23.65288806021141), (u'ads', 23.613624081726567), (u'contribution', 23.234204075653064), (u'away', 22.452055671376048), (u'raise', 22.430563594682219), (u'tonight', 21.09952811475322), (u'let', 21.054355488123562), (u'got', 19.990858700555776), (u'vote', 19.818215380126162), (u'today', 19.645979007025787), (u'http', 19.507274461496227), (u'buy', 19.390856606413656), (u'tomorrow', 19.083518350473007), (u'hours', 19.061134336235895), (u'big', 19.008818373067673), (u'left', 18.736524900755633), (u'fund', 18.597131300018958), (u'week', 18.530189557130367), (u'attacks', 18.489110963176586), (u'like', 18.232331405044292), (u'november', 18.068563796857713), (u'committee', 17.907359628149447), (u'interests', 17.888073504625233), (u'attack', 17.278046356101644), (u'people', 17.000789120414076), (u'sure', 16.887671385880118), (u'work', 16.465993414572559), (u'come', 16.463260947778149), (u'stop', 16.399955128237323), (u'way', 16.388912577294196), (u'running', 15.958169871453917), (u'2014', 15.810310537438976), (u'fighting', 15.576664383848353)]

In [8]:
if reduce_dimensionality == True:
    mpld3.enable_notebook()
    fig,ax = plt.subplots(figsize=(15,10))
    
    ph = {}
    ph_counter = 0
    def add_labels(fig, boolmap, points):
            global ph_counter
            labels = []
            for email in emails[boolmap]:
                ph[ph_counter] = email.politicalnewsbot_link()
                # labels.append(str(ph_counter) + " " + email.message_id + " " + email.message_labels + " " + email.sender.party)
                labels.append(email.sender.email_address)
                ph_counter += 1

            tooltip = plugins.PointHTMLTooltip(points[0], labels, voffset=10, hoffset=10)
            plugins.connect(fig, tooltip)
            urls = [email.politicalnewsbot_link() for email in emails[boolmap]]
            # plugins.connect(fig, ClickInfo(points[0], urls))

    if color_by_party == True:
        for party, col in zip(['d', 'r'], ['blue', 'red']):
            my_members = parties == party
            points = ax.plot(X[my_members, 0], X[my_members, 1], 'w', markerfacecolor=col, marker='.', label='Party %s' % party )
            
            add_labels(fig, parties == party, points)
        
        for k in range(N_CLUSTERS):
            cluster_center = k_means_cluster_centers[k]
            centers = ax.plot(cluster_center[0], cluster_center[1], 'o', markerfacecolor='black', markeredgecolor='k', markersize=6)

    else:
        colors = [(random.random(), random.random(), random.random()) for x in range(N_CLUSTERS)]
        for k, col in zip(range(N_CLUSTERS), colors):
            my_members = k_means_labels == k
            cluster_center = k_means_cluster_centers[k]
            points = ax.plot(X[my_members, 0], X[my_members, 1], 'w', markerfacecolor=col, marker='.', label='Cluster %i' % k)
            centers = ax.plot(cluster_center[0], cluster_center[1], 'o', markerfacecolor=col, markeredgecolor='k', markersize=6)

            add_labels(fig, k_means_labels == k, points)

    ax.set_title('KMeans')
    ax.set_xticks(())
    ax.set_yticks(())
    ax.legend()
    ph_counter=0
In [9]:
mpld3.disable_notebook()
In [10]:
labels = ['CATEGORY_PROMOTIONS', 'CATEGORY_UPDATES', 'IMPORTANT', 'INBOX', 'UNREAD']
label_histogram = []
for k in range(N_CLUSTERS):
    innerDict = dict.fromkeys(labels, 0)
    for email in emails[k_means_labels == k]:
        current_labels = eval(email.message_labels)
        for label in current_labels:
            if label in innerDict:
                innerDict[label] = innerDict[label]+1
            else:
                innerDict[label] = 0

    label_histogram.append(innerDict)
label_histogram
Out[10]:
[{u'CATEGORY_PERSONAL': 7,
  'CATEGORY_PROMOTIONS': 264,
  'CATEGORY_UPDATES': 247,
  'IMPORTANT': 53,
  'INBOX': 519,
  'UNREAD': 384},
 {u'CATEGORY_PERSONAL': 0,
  'CATEGORY_PROMOTIONS': 475,
  'CATEGORY_UPDATES': 255,
  'IMPORTANT': 36,
  'INBOX': 731,
  'UNREAD': 588},
 {u'CATEGORY_PERSONAL': 2,
  'CATEGORY_PROMOTIONS': 122,
  'CATEGORY_UPDATES': 546,
  'IMPORTANT': 38,
  'INBOX': 671,
  'UNREAD': 564}]
In [11]:
make_histogram(label_histogram[0])
In [12]:
make_histogram(label_histogram[1])
In [13]:
print "\n".join([email.politicalnewsbot_link() for email in emails[k_means_labels == 1]])
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
https://mail.google.com/mail/u/2/#inbox/[email protected]
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