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Detecting Topic Drift
                     with Compound Topic Models


         Dan Knights       Mike Mozer                Nicolas Nicolov
                         J.D. Power and Associates
                            McGraw-Hill, U.S.A.
                             Boulder, CO 80303




                               Goals:

                       Track topics over time
                       Detect topic drift
                       Identify emerging topics
                       Visualize topic trends
Dan Knights (JDPA)           Detecting Topic Drift            May 19, 2009   1/9
Topic tracking challenge: emerging topics


                       Dataset 1                                             Dataset 2



                           LDA                                                 LDA



   0: energy hybrid gas prius fuel                       0: money stock dow economy
   1: million billion economy stock            ?         1: hybrid gas prius alternative
                     ...                                 2: obama mccain election race
                                                                         ...
    probability




                                                               probability
                                ...
                                           Topic
                  0       1     ...   correspondence                          0      1      2
                      topic index     not guaranteed                              topic index



Dan Knights (JDPA)                     Detecting Topic Drift                             May 19, 2009   2/9
Compound topic models guarantee correspondence

                                             CTM

                        Dataset 1            +                              Dataset 2


                                              LDA



   0: money stock dow economy                                 0: money stock dow economy
   1: hybrid gas prius alternative                            1: hybrid gas prius alternative
   2: obama mccain election race                              2: obama mccain election race
                   ...                                                        ...
     probability




                                                              probability
                                          Topic
                   0       1     2   correspondence                          0      1      2
                       topic index     guaranteed                                topic index



Dan Knights (JDPA)                    Detecting Topic Drift                             May 19, 2009   3/9
Potential indicators of drift


        3 kinds of indicator:
             Kullback-Leibler divergence (KLD)
             Relative Perplexity (RP)
             Chi-square test (not shown)
        2 kinds of model:
             Topic model
             Unigram model
        3 x 2 = 6 potential indicators




Dan Knights (JDPA)         Detecting Topic Drift   May 19, 2009   4/9
Case study: synthetic topic drift

         Gradual topic drift, days 150-179:




                Days                   Days              Days
                1-149                 150-179           180-300


         Drift indicators:                                         All indicators
                                                                    detect drift
                        Drift




Dan Knights (JDPA)              Detecting Topic Drift    May 19, 2009   5/9
Case study: Toyota


        All blogs mentioning “Toyota”
        6 months (January – June 2008)
        Drift indicators:                           Highest Drift?




Dan Knights (JDPA)          Detecting Topic Drift   May 19, 2009     6/9
Emerging topics, Toyota (Mar-Jun 2008)


                                                      Emerging
                                                    “energy” topic


                                                      Chapman
                                                     auto accident
                                                         topic




                                                    “Energy” topic
                                                      tracks gas
                                                         price




Dan Knights (JDPA)   Detecting Topic Drift   May 19, 2009   7/9
Case study: iPhone

       Public blogs mentioning “iPhone” and “platform”
       12 months (April 2007 – March 2008)
       Most variable topics for Aug-Nov 2007
                                                        “Apple opens
       window:                                             iPhone
                                                          platform”




                                                           “Google
                                                          launches
                                                           Android
                                                           platform”




Dan Knights (JDPA)      Detecting Topic Drift   May 19, 2009   8/9
Summary


        Compound topic models help with:
             tracking topics between distinct data sets
             detecting drift related to news events
             avoiding topic/vocabulary matching problem
             visualizing topic trends
        Open questions:
             How to interpret drift indicators
             Are unigram models sufficient for detecting
             topic drift?
                 fast and frugal compared to topic models



Dan Knights (JDPA)           Detecting Topic Drift    May 19, 2009   9/9

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Detecting Topic Drift with Compound Topic Models

  • 1. Detecting Topic Drift with Compound Topic Models Dan Knights Mike Mozer Nicolas Nicolov J.D. Power and Associates McGraw-Hill, U.S.A. Boulder, CO 80303 Goals: Track topics over time Detect topic drift Identify emerging topics Visualize topic trends Dan Knights (JDPA) Detecting Topic Drift May 19, 2009 1/9
  • 2. Topic tracking challenge: emerging topics Dataset 1 Dataset 2 LDA LDA 0: energy hybrid gas prius fuel 0: money stock dow economy 1: million billion economy stock ? 1: hybrid gas prius alternative ... 2: obama mccain election race ... probability probability ... Topic 0 1 ... correspondence 0 1 2 topic index not guaranteed topic index Dan Knights (JDPA) Detecting Topic Drift May 19, 2009 2/9
  • 3. Compound topic models guarantee correspondence CTM Dataset 1 + Dataset 2 LDA 0: money stock dow economy 0: money stock dow economy 1: hybrid gas prius alternative 1: hybrid gas prius alternative 2: obama mccain election race 2: obama mccain election race ... ... probability probability Topic 0 1 2 correspondence 0 1 2 topic index guaranteed topic index Dan Knights (JDPA) Detecting Topic Drift May 19, 2009 3/9
  • 4. Potential indicators of drift 3 kinds of indicator: Kullback-Leibler divergence (KLD) Relative Perplexity (RP) Chi-square test (not shown) 2 kinds of model: Topic model Unigram model 3 x 2 = 6 potential indicators Dan Knights (JDPA) Detecting Topic Drift May 19, 2009 4/9
  • 5. Case study: synthetic topic drift Gradual topic drift, days 150-179: Days Days Days 1-149 150-179 180-300 Drift indicators: All indicators detect drift Drift Dan Knights (JDPA) Detecting Topic Drift May 19, 2009 5/9
  • 6. Case study: Toyota All blogs mentioning “Toyota” 6 months (January – June 2008) Drift indicators: Highest Drift? Dan Knights (JDPA) Detecting Topic Drift May 19, 2009 6/9
  • 7. Emerging topics, Toyota (Mar-Jun 2008) Emerging “energy” topic Chapman auto accident topic “Energy” topic tracks gas price Dan Knights (JDPA) Detecting Topic Drift May 19, 2009 7/9
  • 8. Case study: iPhone Public blogs mentioning “iPhone” and “platform” 12 months (April 2007 – March 2008) Most variable topics for Aug-Nov 2007 “Apple opens window: iPhone platform” “Google launches Android platform” Dan Knights (JDPA) Detecting Topic Drift May 19, 2009 8/9
  • 9. Summary Compound topic models help with: tracking topics between distinct data sets detecting drift related to news events avoiding topic/vocabulary matching problem visualizing topic trends Open questions: How to interpret drift indicators Are unigram models sufficient for detecting topic drift? fast and frugal compared to topic models Dan Knights (JDPA) Detecting Topic Drift May 19, 2009 9/9