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Bayesian Networks : a new tool
for consumer segmentation
Skim Conference – Barcelona – May 28th 2008
Summary                                                         2




     Introduction to consumer segmentations


     A brief overview of Bayesian Networks


     Computing a segmentation with Bayesian Networks


     Conclusion




                  Skim Conference – Barcelona – May 28th 2008
Introduction to consumer segmentations                            3




       Introduction to consumer segmentations


       A brief overview of Bayesian Networks


       Computing a segmentation with Bayesian Networks


       Conclusion




                    Skim Conference – Barcelona – May 28th 2008
Why a segmentation ?                                                                           4




    Valuable tool to understand a market

    Homogeneous marketing targets
    - people who behave the same way
    - people who have homogeneous motivations / attitudes.

    Groups of people to whom it is possible to speak the same language


                                                              Different marketing strategies
                                                              # Concepts
                                                              # Products
                                                              # Communication
                                                              # Advertising


                                                                         MORE EFFICIENT


                           Skim Conference – Barcelona – May 28th 2008
A good segmentation - some important features                                    5




               Homogeneous segments
 TECHNICAL
  QUALITY      Clear differences between segments

               Stable…


 AND OTHER     Easy to understand
    VERY
 IMPORTANT     Operational / Actionable
  ELEMENTS
               Fair representation of the real world


 Preparation    Statistical                       Interpretation        Output
    stage       procedure                           / Analysis

                                    Only a part of the whole process.
                                    How important is it ?
                  Skim Conference – Barcelona – May 28th 2008
The marketer’s dream…and cruel reality                                                    6




 Obvious groups !                                         More complicated

 Any kind of computation should                           Unlimited number of typologies
 lead to the same results
                                                           Procedure should guarantee a
                                                                relevant clustering

                      Skim Conference – Barcelona – May 28th 2008
Classical procedures                                                         7




    A factorial analysis followed by a clustering of the individuals

    Canonical segmentation

                    ATTITUDES
                    ATTITUDES                               BEHAVIOURS
                                                            BEHAVIOURS



                              CANONICAL ANALYSIS
                              CANONICAL ANALYSIS


                Projection of the individuals on the factorial axis
                Projection of the individuals on the factorial axis


                           Clustering of the individuals
                           Clustering of the individuals



     Drawbacks : Difficult to choose what are the attitudes / what are the
          behaviours (declarative statements) – Time consuming.

                        Skim Conference – Barcelona – May 28th 2008
A brief overview of Bayesian Networks                             8




       Introduction to consumer segmentations


       A brief overview of Bayesian Networks


       Computing a segmentation with Bayesian Networks


       Conclusion




                    Skim Conference – Barcelona – May 28th 2008
Bayesian Networks                                                          9




    A computational Tool to Model Uncertainty
    based both on graphs theory
    readability – Powerful communication tool

    and probability theory
    sound computations

    Manual modelling through brainstorming
    Probabilistic Expert Systems

    Induction by automatic learning
    Data analysis, data mining




    Growing popularity
    Industry, Defense, Health, …and now, Market Research




                             Skim Conference – Barcelona – May 28th 2008
A complete framework for Data Mining                                             10




    Parametric estimation
    Use of the database to estimate the probabilities of a given structure



    Robust Missing values processing
    Expectation-Maximization (EM)
    Structural EM



    Structural learning
    Unsupervised learning to discover all the direct probabilistic relations
    Supervised learning to characterize a target variable
    Variable clustering to induce “factors” made of highly connected variables
    Probabilistic Structural Equations



    and… Data Clustering to find groups of data sharing the same characteristics




                             Skim Conference – Barcelona – May 28th 2008
Formalism : 2 distinctive parts                                                                      11




     Structure
     Directed acyclic graphs
                                                                             Example: Anti-doping
     Parameters                                                                agency using two
     Probability distributions associated to each node                          different tests to
                                                                              screen competitors




                               Skim Conference – Barcelona – May 28th 2008
A reasoning engine 1/3                                                    12




     Sound evidence propagation on the entire network
     Simulation
     Diagnosis
     And any combination of these 2 types of inference




                            Skim Conference – Barcelona – May 28th 2008
A reasoning engine 2/3                                                  13




      Sound evidence propagation on the entire network
      Simulation
      Diagnosis



 If a competitor is doped...




      …there is 99.5% chance
      that he is disqualified


                          Skim Conference – Barcelona – May 28th 2008
A reasoning engine 3/3                                                   14




     Sound evidence propagation on the entire network
     Simulation
     Diagnosis : thinking the other way round


     … there is a slight
     probability (8%)
     that he is nevertheless
     clean.




    If a competitor has been
    disqualified…

                           Skim Conference – Barcelona – May 28th 2008
Segmentation with Bayesian Networks                                                       15




      Introduction to consumer segmentations


      A brief overview of Bayesian Networks


      Computing a segmentation with Bayesian Networks

       Real case study: Segmentation of women as regards shopping and fashion
       For confidentiality reasons, consumer statements and outputs have been modified.



      Conclusion



                            Skim Conference – Barcelona – May 28th 2008
1st Stage : segmentation induction                            16




                Skim Conference – Barcelona – May 28th 2008
Unsupervised learning                                                                    17
Discovering relations between consumer statements

Usage and attitude survey conducted
for a clothes retailer.

Sample=1065 women.

234 consumer statements: attitudes
and behaviours towards fashion in
general, retailers, brand image…



 Heuristic Search Algorithm to
 find the best representation of
 the joint probability distribution.

 Minimum Description Length
 score to evaluate the quality of
 the network based on fitness
 and compactness
                                                                            Induced network


                              Skim Conference – Barcelona – May 28th 2008
Variables clustering and factor induction                                                   18
Simplifying the information

         Analysis of the network to discover groups of variables that are
         strongly connected and that form a “concept”
         Ascendant Hierarchical Clustering algorithm based on the arcs’ Kullback Leibler forces
         (non linear and global measure – contribution of the relation to the network).

         For each cluster of variables
         Creation of a latent variable summarizing the information.



42 factors computed

Example of factor 15 : dimension
summarizing originality.

Based      on attitude    statements
                                             Latent variable
(importance to be original, like to
differentiate with    clothes)   and
behaviours (buy brands X, Y and Z
more often).



                               Skim Conference – Barcelona – May 28th 2008
Factor clustering: overview of the procedure                              19
Segmentation of the individuals based on the main factors

        Introducing a new variable (consumer segments) which is the hidden
        cause of the main factors.




        Learning the probabilities with Expectation – Maximisation

        Score derived from MDL to assess the quality of the clustering

                            Skim Conference – Barcelona – May 28th 2008
Selecting the number of clusters                                                  20




    Pseudo random walk to find the best number of clusters
    example: find the best clustering with random walk between 2 and 6 clusters
    – 20 iterations




                                                        The best segmentation
                                                        is   the    one    that
                                                        minimizes the score




    Also possible to define the desired number of clusters

    Possible to define the minimal purity of the clusters. The purity is
    computed as the mean of the probability of each cluster point.

                          Skim Conference – Barcelona – May 28th 2008
2nd stage : segmentation analysis                             21




                Skim Conference – Barcelona – May 28th 2008
Supervised learning                                                                       22
Focusing on consumer clusters

       LEARNING the relations between…
       THE TARGET VARIABLE = SEGMENTATION
       THE CONSTITUTIVE VARIABLES = CONSUMER STATEMENTS




                                                                        Target Variable
                                                                        = consumer segments




                          Skim Conference – Barcelona – May 28th 2008
Cluster Profile                                                                                                                                 23
Using the network to describe the consumer groups

                                   Identification of the key variables and associated values
                                   For each consumer group, we use the % of shared information to sort the variables
                                   according to their importance in the characterisation of the group.
   4 most contributing variables




                                                                                  Compared with total sample,
                                                                                  women of cluster#5 :
          for Cluster #5




                                                                                  - Buy brand X more often
                                                                                  - Are older women (59 in average)
                                                                                  - Do not consider originality as important
                                                                                  - Do not like discovering new shops




                                                                                  Arrows symbolize the change in the probability distribution
                                                                                  when observing cluster #5.


                                                         Skim Conference – Barcelona – May 28th 2008
Generation of the cluster mapping                                             24




      Map generation

      The size of the cluster is proportional to its probability

      The proximity of the clusters is a probabilistic proximity

      The darkness of the blue is proportional to the purity of the cluster
      (in this example all clusters have a purity > 95%)




                           Skim Conference – Barcelona – May 28th 2008
Summarizing segmentation results                                                25




                                              -- Money
                                             devoted to
                                               clothes


                                   18%                      10%

                                                       Fashion cheap
                            Functional before all
                                       above all

              20%
                                           Age
                                                                       Fashionable
             Neutral
 Classical                                                             originality


                                                             18%


                                                          Superstars
                             20%

                       8%                           14%
                       Classical upmarket

                                             Young manager
                                               / executive
                             ++ Money             women
                             devoted to
                              clothes

                       Skim Conference – Barcelona – May 28th 2008
Going further : identifying a more compact target model                                                 26




     Markov procedure to select a subset of statements to determine to
     which category consumers belong
        Selection of a subset of variables…

        …knowing the values of these variables makes the target independent of all the
        other variables




                                                                       Subset of 11 variables

                                                                       Overall prediction score = 68%

                                                                       Interesting to quickly recruit
                                                                       consumer groups amongst the
                                                                       total population.




                         Skim Conference – Barcelona – May 28th 2008
Conclusion                                                       27




      Introduction to consumer segmentations


      A brief overview of Bayesian Networks


      Computing a segmentation with Bayesian Networks


      Conclusion




                   Skim Conference – Barcelona – May 28th 2008
Benefits                                                                                 28




    Our experience : a powerful tool
    - Relevant typologies
    - Easy to carry out

    Modelling the consumer variables : good representation of reality
    - Non-supervised modelling : no strong hypothesis
    - Discovering interactions between variables (behaviours / attitudes)
    - Use of qualitative / quantitative variables

    Data clustering quality
    - Possible to set the minimum purity of the clusters : enables the marketer to discover
    “niche” markets (usually less pure) or focus on mainstream groups.

     Added-value in the analysis of the clusters
    - Easy ranking of the key variables for each consumer cluster
    - Proximity mapping to summarize results

    Development of robust models to identify consumer groups
    - Interesting in the case of upcoming recruitment.


                            Skim Conference – Barcelona – May 28th 2008
Some drawbacks. How to deal with them ?                                                29




    Modelling the consumer network and computing latent variables can
    be long when the number of variables is very important.
    234 variables and 1065 lines: 30-40 minutes
    To speed up the process, possible to learn a simplified network : e.g. maximum
    spanning tree or increase of the structural complexity parameter.




    Continuous variables have to be discretized
    Results will depend on the quality of the discretization.
    Possible to use K-Means to adapt discretization to the distribution of the data.
    Expertise of the user also helps.

    And most of the time in consumer research variables are discrete !




                           Skim Conference – Barcelona – May 28th 2008
Perspectives                                                                                        30




     Flexibility : can be used far beyond usage and attitudes surveys
               Easy to carry out

               Can be adapted to any type of data
               Well designed to process large amounts of data


     Example: segmentation of trains using client’s internal data




      Travelers' Data              Train data (turnover, occupancy rate…)
   10 Million individuals                        15.000 trains               Clustering of trains




     In the future…
     - typology of clients (turnover, potential…) to feed a business strategy
     - segmentation of consumers based on utilities (CBC data)

                               Skim Conference – Barcelona – May 28th 2008
Contact                                                                             31




          Jouffe Lionel                            Craignou Fabien
          Managing Director                        Data Mining Department Manager

          jouffe@bayesia.com                       fcr@reperes.net




                      Skim Conference – Barcelona – May 28th 2008

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RepèRes Bayesia Consumer Segmentation Skim Conf08

  • 1. Bayesian Networks : a new tool for consumer segmentation Skim Conference – Barcelona – May 28th 2008
  • 2. Summary 2 Introduction to consumer segmentations A brief overview of Bayesian Networks Computing a segmentation with Bayesian Networks Conclusion Skim Conference – Barcelona – May 28th 2008
  • 3. Introduction to consumer segmentations 3 Introduction to consumer segmentations A brief overview of Bayesian Networks Computing a segmentation with Bayesian Networks Conclusion Skim Conference – Barcelona – May 28th 2008
  • 4. Why a segmentation ? 4 Valuable tool to understand a market Homogeneous marketing targets - people who behave the same way - people who have homogeneous motivations / attitudes. Groups of people to whom it is possible to speak the same language Different marketing strategies # Concepts # Products # Communication # Advertising MORE EFFICIENT Skim Conference – Barcelona – May 28th 2008
  • 5. A good segmentation - some important features 5 Homogeneous segments TECHNICAL QUALITY Clear differences between segments Stable… AND OTHER Easy to understand VERY IMPORTANT Operational / Actionable ELEMENTS Fair representation of the real world Preparation Statistical Interpretation Output stage procedure / Analysis Only a part of the whole process. How important is it ? Skim Conference – Barcelona – May 28th 2008
  • 6. The marketer’s dream…and cruel reality 6 Obvious groups ! More complicated Any kind of computation should Unlimited number of typologies lead to the same results Procedure should guarantee a relevant clustering Skim Conference – Barcelona – May 28th 2008
  • 7. Classical procedures 7 A factorial analysis followed by a clustering of the individuals Canonical segmentation ATTITUDES ATTITUDES BEHAVIOURS BEHAVIOURS CANONICAL ANALYSIS CANONICAL ANALYSIS Projection of the individuals on the factorial axis Projection of the individuals on the factorial axis Clustering of the individuals Clustering of the individuals Drawbacks : Difficult to choose what are the attitudes / what are the behaviours (declarative statements) – Time consuming. Skim Conference – Barcelona – May 28th 2008
  • 8. A brief overview of Bayesian Networks 8 Introduction to consumer segmentations A brief overview of Bayesian Networks Computing a segmentation with Bayesian Networks Conclusion Skim Conference – Barcelona – May 28th 2008
  • 9. Bayesian Networks 9 A computational Tool to Model Uncertainty based both on graphs theory readability – Powerful communication tool and probability theory sound computations Manual modelling through brainstorming Probabilistic Expert Systems Induction by automatic learning Data analysis, data mining Growing popularity Industry, Defense, Health, …and now, Market Research Skim Conference – Barcelona – May 28th 2008
  • 10. A complete framework for Data Mining 10 Parametric estimation Use of the database to estimate the probabilities of a given structure Robust Missing values processing Expectation-Maximization (EM) Structural EM Structural learning Unsupervised learning to discover all the direct probabilistic relations Supervised learning to characterize a target variable Variable clustering to induce “factors” made of highly connected variables Probabilistic Structural Equations and… Data Clustering to find groups of data sharing the same characteristics Skim Conference – Barcelona – May 28th 2008
  • 11. Formalism : 2 distinctive parts 11 Structure Directed acyclic graphs Example: Anti-doping Parameters agency using two Probability distributions associated to each node different tests to screen competitors Skim Conference – Barcelona – May 28th 2008
  • 12. A reasoning engine 1/3 12 Sound evidence propagation on the entire network Simulation Diagnosis And any combination of these 2 types of inference Skim Conference – Barcelona – May 28th 2008
  • 13. A reasoning engine 2/3 13 Sound evidence propagation on the entire network Simulation Diagnosis If a competitor is doped... …there is 99.5% chance that he is disqualified Skim Conference – Barcelona – May 28th 2008
  • 14. A reasoning engine 3/3 14 Sound evidence propagation on the entire network Simulation Diagnosis : thinking the other way round … there is a slight probability (8%) that he is nevertheless clean. If a competitor has been disqualified… Skim Conference – Barcelona – May 28th 2008
  • 15. Segmentation with Bayesian Networks 15 Introduction to consumer segmentations A brief overview of Bayesian Networks Computing a segmentation with Bayesian Networks Real case study: Segmentation of women as regards shopping and fashion For confidentiality reasons, consumer statements and outputs have been modified. Conclusion Skim Conference – Barcelona – May 28th 2008
  • 16. 1st Stage : segmentation induction 16 Skim Conference – Barcelona – May 28th 2008
  • 17. Unsupervised learning 17 Discovering relations between consumer statements Usage and attitude survey conducted for a clothes retailer. Sample=1065 women. 234 consumer statements: attitudes and behaviours towards fashion in general, retailers, brand image… Heuristic Search Algorithm to find the best representation of the joint probability distribution. Minimum Description Length score to evaluate the quality of the network based on fitness and compactness Induced network Skim Conference – Barcelona – May 28th 2008
  • 18. Variables clustering and factor induction 18 Simplifying the information Analysis of the network to discover groups of variables that are strongly connected and that form a “concept” Ascendant Hierarchical Clustering algorithm based on the arcs’ Kullback Leibler forces (non linear and global measure – contribution of the relation to the network). For each cluster of variables Creation of a latent variable summarizing the information. 42 factors computed Example of factor 15 : dimension summarizing originality. Based on attitude statements Latent variable (importance to be original, like to differentiate with clothes) and behaviours (buy brands X, Y and Z more often). Skim Conference – Barcelona – May 28th 2008
  • 19. Factor clustering: overview of the procedure 19 Segmentation of the individuals based on the main factors Introducing a new variable (consumer segments) which is the hidden cause of the main factors. Learning the probabilities with Expectation – Maximisation Score derived from MDL to assess the quality of the clustering Skim Conference – Barcelona – May 28th 2008
  • 20. Selecting the number of clusters 20 Pseudo random walk to find the best number of clusters example: find the best clustering with random walk between 2 and 6 clusters – 20 iterations The best segmentation is the one that minimizes the score Also possible to define the desired number of clusters Possible to define the minimal purity of the clusters. The purity is computed as the mean of the probability of each cluster point. Skim Conference – Barcelona – May 28th 2008
  • 21. 2nd stage : segmentation analysis 21 Skim Conference – Barcelona – May 28th 2008
  • 22. Supervised learning 22 Focusing on consumer clusters LEARNING the relations between… THE TARGET VARIABLE = SEGMENTATION THE CONSTITUTIVE VARIABLES = CONSUMER STATEMENTS Target Variable = consumer segments Skim Conference – Barcelona – May 28th 2008
  • 23. Cluster Profile 23 Using the network to describe the consumer groups Identification of the key variables and associated values For each consumer group, we use the % of shared information to sort the variables according to their importance in the characterisation of the group. 4 most contributing variables Compared with total sample, women of cluster#5 : for Cluster #5 - Buy brand X more often - Are older women (59 in average) - Do not consider originality as important - Do not like discovering new shops Arrows symbolize the change in the probability distribution when observing cluster #5. Skim Conference – Barcelona – May 28th 2008
  • 24. Generation of the cluster mapping 24 Map generation The size of the cluster is proportional to its probability The proximity of the clusters is a probabilistic proximity The darkness of the blue is proportional to the purity of the cluster (in this example all clusters have a purity > 95%) Skim Conference – Barcelona – May 28th 2008
  • 25. Summarizing segmentation results 25 -- Money devoted to clothes 18% 10% Fashion cheap Functional before all above all 20% Age Fashionable Neutral Classical originality 18% Superstars 20% 8% 14% Classical upmarket Young manager / executive ++ Money women devoted to clothes Skim Conference – Barcelona – May 28th 2008
  • 26. Going further : identifying a more compact target model 26 Markov procedure to select a subset of statements to determine to which category consumers belong Selection of a subset of variables… …knowing the values of these variables makes the target independent of all the other variables Subset of 11 variables Overall prediction score = 68% Interesting to quickly recruit consumer groups amongst the total population. Skim Conference – Barcelona – May 28th 2008
  • 27. Conclusion 27 Introduction to consumer segmentations A brief overview of Bayesian Networks Computing a segmentation with Bayesian Networks Conclusion Skim Conference – Barcelona – May 28th 2008
  • 28. Benefits 28 Our experience : a powerful tool - Relevant typologies - Easy to carry out Modelling the consumer variables : good representation of reality - Non-supervised modelling : no strong hypothesis - Discovering interactions between variables (behaviours / attitudes) - Use of qualitative / quantitative variables Data clustering quality - Possible to set the minimum purity of the clusters : enables the marketer to discover “niche” markets (usually less pure) or focus on mainstream groups. Added-value in the analysis of the clusters - Easy ranking of the key variables for each consumer cluster - Proximity mapping to summarize results Development of robust models to identify consumer groups - Interesting in the case of upcoming recruitment. Skim Conference – Barcelona – May 28th 2008
  • 29. Some drawbacks. How to deal with them ? 29 Modelling the consumer network and computing latent variables can be long when the number of variables is very important. 234 variables and 1065 lines: 30-40 minutes To speed up the process, possible to learn a simplified network : e.g. maximum spanning tree or increase of the structural complexity parameter. Continuous variables have to be discretized Results will depend on the quality of the discretization. Possible to use K-Means to adapt discretization to the distribution of the data. Expertise of the user also helps. And most of the time in consumer research variables are discrete ! Skim Conference – Barcelona – May 28th 2008
  • 30. Perspectives 30 Flexibility : can be used far beyond usage and attitudes surveys Easy to carry out Can be adapted to any type of data Well designed to process large amounts of data Example: segmentation of trains using client’s internal data Travelers' Data Train data (turnover, occupancy rate…) 10 Million individuals 15.000 trains Clustering of trains In the future… - typology of clients (turnover, potential…) to feed a business strategy - segmentation of consumers based on utilities (CBC data) Skim Conference – Barcelona – May 28th 2008
  • 31. Contact 31 Jouffe Lionel Craignou Fabien Managing Director Data Mining Department Manager jouffe@bayesia.com fcr@reperes.net Skim Conference – Barcelona – May 28th 2008