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Plan


  Modeling by
  Brainstorming
                                     BayesiaLab’s Knowledge Elicitation
  BAYESIALAB 5.0
  Knowledge                                    Environment
  Elicitation
  Environment
                                           An innovative Brainstorming Tool


                                                 Dr. Lionel JOUFFE

                                                      May 2010


   ©2010 BAYESIA SAS
All rights reserved. Forbidden
reproduction in whole or part
without the Bayesia’s express
       written permission
                                 1
Plan


  Modeling by
  Brainstorming
                                               MODELING BY BRAINSTORMING
  BAYESIALAB 5.0
  Knowledge                                       MODELING BY BRAINSTORMING
  Elicitation
  Environment




                                     All models are wrong; the practical question is how wrong do
                                           they have to be to not be useful (Box&Draper 87)

  ©2010 BAYESIA SAS
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reproduction in whole or part
without the Bayesia’s express
       written permission
                                 2
Designing a Model for Decision Support


                                       Every Company is faced to complex decisions that need to
                                     be rationally supported
             Plan
                                        Sometime, there are too few data available, or no data at all,
                                     to allow using data mining and data analysis technics to
                                     automatically build a Decision Support System
  Modeling by
  Brainstorming                        Experts have gathered invaluable Tacit Knowledge through
  BAYESIALAB 5.0
                                     their experience
  Knowledge
  Elicitation                          We need to Convert this Tacit Knowledge into Explicit
  Environment                        Knowledge and use it to build a model

                                        We want actionable models to allow What-if scenarios
                                     (simulation and/or diagnosis), drivers analysis, ...

                                       Bayesian Belief Networks (BBNs) are ideal models for such
                                     problematics: their graphical representation allows a manual
                                     design by using expert knowledge, and their probabilistic
                                     engines offer powerful simulation capabilities

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                                 3
BBNs are made of Two Distinct Parts

                                     Structure
                                         Directed Acyclic Graph (DAG), i.e. no directed loop

             Plan                             Nodes represent the variables

                                             Each node has a set of exclusive states (e.g.: Young, Adult,
                                           Aged)
  Modeling by
  Brainstorming
                                             Arcs represent the direct probabilistic influences between the
  BAYESIALAB 5.0                           variables (possibly causal)
  Knowledge
  Elicitation
  Environment
                                     Parameters
                                         Probability distributions are associated to each node, usually by using
                                         tables

                                                                      CONDITIONAL PROBABILITY
                                                                              DISTRIBUTION
                           MARGINAL                                 A smoker has a 60% of risk of suffering
                    PROBABILITY DISTRIBUTION                        from a Bronchitis, whereas the risk of
                    We consider a population made                        a non smoker is 30% only
                          of 40% of Adults
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                                 4
BBNs are Powerful Inference Engines

                                     We get some evidence on the states of a subset of variables:
                                       Hard positive and negative evidence, Likelihoods, Probability
                                       distributions, Mean values
             Plan
                                     We take these findings into account in a rigorous way to update our
                                     belief on the states of all the other variables
  Modeling by
  Brainstorming                          Probability distributions on their values
  BAYESIALAB 5.0
  Knowledge                              Multi-Directional Inference (Simulation and/or Diagnosis)
  Elicitation
  Environment
                                       Prior Distribution                                         Posterior Distribution
                                                                The evidence on Smoker
                                                               (a new probability distribution)
                                                               allows to update the probability
                                                               distribution of Age (Diagnosis)
                                                                and Bronchitis (Simulation)




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       written permission
                                 5
BBN Modeling by Brainstorming




             Plan                       Clear definition of the BBN’s objective(s) (e.g.: Improvement
                                     of the Product/Service Quality, improvement of the Purchase
                                     Intent, improvement of the Company’s performance, ...)
  Modeling by
  Brainstorming                        Identification of the conceptual dimensions that are linked to
                                     those objectives (e.g.: Human resources, Management,
  BAYESIALAB 5.0                     Production, Marketing, ...)
  Knowledge
  Elicitation
  Environment                          Definition of the group of experts that will fully cover all the
                                     dimensions (and the different geographical zones), with a small
                                     redundancy to allow fruitful debates

                                      Brain Storming Sessions with this group of Experts to
                                     manually build the BBN




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reproduction in whole or part
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       written permission
                                 6
The Structure
                                                                            The Directed Acyclic Graph
                                     The structure elicitation is probably the simplest task of the
                                     Brainstorming session
                                     For each identified conceptual dimension
             Plan
                                             Definition of the main variables

  Modeling by                                Definition of the exclusive states of those variables
  Brainstorming
                                             Creation of one node per identified variable
  BAYESIALAB 5.0
  Knowledge
  Elicitation
                                            Brainstorming to define the direct relationships between the
  Environment                             variables, and addition of the corresponding arcs between those
                                          dependent variables




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                                 7
The Parameters
                                                                                  Probability Distributions
                                                Probabilities do not have to be exact to be useful

                                     For each root node, i.e. without incoming arc, definition of the marginal
                                     probability distribution over the defined states
             Plan
                                     For each node with incoming arc(s), definition of the conditional probability
                                     distribution over the defined states, for each combination of the states of
  Modeling by                        its connected nodes
  Brainstorming
                                     Each expert gives his/her belief on the distributions
  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment
                                           There are various kinds of biases to be aware of

                                                Cognitive (Plausibility, Control, Availability, Anchoring)
                                                Emotional (Mood, Motivation)
                                                Group (Anchoring, Herding)
                                                Facilitator (can be biased toward charismatic experts or toward
                                              the last expressed opinion)


                                      ☛ Use the new BayesiaLab’s Knowledge Elicitation environment
  ©2010 BAYESIA SAS
                                      to reduce these biases, to improve traceability, to gather all the
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                                                          useful knowledge, ....
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                                 8
Plan


  Modeling by
  Brainstorming
                                             BAYESIALAB 5.0
  BAYESIALAB 5.0                     Knowledge Elicitation Environment
  Knowledge
  Elicitation
  Environment




  ©2010 BAYESIA SAS
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       written permission
                                 9
The Experts

                                      Definition of the group of Experts

             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




  ©2010 BAYESIA SAS
All rights reserved. Forbidden
reproduction in whole or part
without the Bayesia’s express
       written permission
                                 10
The Experts

                                                                             This Expert Editor allows defining:
                                                    The Expert’s name, its Credibility (that will be use globally during the consensus
                                                    computation), her/his Picture, a Comment to describe her/his area of expertise.
                                                    The last field contains the number of assessments realized by the expert on the
             Plan                                                                    current network



  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                                                     - Group of experts can be Imported/Exported
                                                       - The Open Session button allows opening an Online Brainstorming Session*
                                                     - The Generate Tables button allows generating a Bayesian network by using the
                                                                       assessments of the selected experts only
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                                 11
                                      * Available on subscription only
The Experts’ Assessments




             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                       Selecting a cell in the probability table activates the Assessment button for assessing
                                      the question corresponding to the selected line, i.e. what is the marginal probability
                                                           distribution of Age over the 3 defined states?
  ©2010 BAYESIA SAS
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reproduction in whole or part
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       written permission
                                 12
The Experts’ Assessments


                                      Pressing the Assessment button opens the Assessment Editor that allows the Facilitator
                                                     to manually add, delete and modify Experts’ Assessments.
             Plan                     The Post Assessment button can be used by the Facilitator to Post the question to
                                                 the BayesiaLab’s secured website for an online assessment



  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




  ©2010 BAYESIA SAS
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reproduction in whole or part
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       written permission
                                 13
The Expert Online Assessment Tool


                                                                                     The secured website

             Plan


  Modeling by                                The Expert’s name,          The session name
  Brainstorming                               case sensitive!

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                      Once logged in, the
                                      Expert is waiting for a
                                          question




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without the Bayesia’s express
       written permission
                                 14
The Expert Online Assessment Tool:
                                                                         Example with the 3 states variable Age

                                              Once the Facilitator has posted the question with the Assessment Editor, the question is
                                                                        displayed on the Expert’s webpage.


             Plan                                                                                 The question is relative to
                                                                                         the node “Age”, that has 3 states: Young,
                                                                                                         Adult and Aged.
                                                                                          There are then 3 sliders for the probability
                                                                                         distribution assessment, and another one
  Modeling by                                                                                         for the confidence
  Brainstorming                              There is no context
                                           (root node). This is then a
                                              marginal probability
  BAYESIALAB 5.0
  Knowledge
  Elicitation                                                                    Check
  Environment                                                                 box for fixing the
                                                                              probability of the
                                                                                  state
                                                           Pie
                                                  Chart representing the
                                                   probability distribution
                                                 specified with the sliders


                                              The label
                                         corresponds to the                                                                The
                                      Confidence level the expert                                                     comment field can be
                                         has specified with the                                                      used for explaining the
  ©2010 BAYESIA SAS                    Confidence Slider (ranging                                                        assessment
All rights reserved. Forbidden
reproduction in whole or part         from “I Do not Know” to “I
without the Bayesia’s express
       written permission                   am Certain”)
                                 15
The Expert Online Assessment Tool:
                                      Example with the binary variable Cancer


                                          The context variables in the BBN
             Plan
                                                                 Hovering over the context
                                                                variables returns the comment
  Modeling by                                                  associated to the corresponding
                                                                        node, if any
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                                   This question is relative to
                                                    node Cancer, and the specific
                                                    Context is “Age = Adult” and
                                                          “Smoker = Yes”


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                                 16
The Facilitator’s tool


                                            This listener allows
                                          following the status of the
                                            Experts’ assessments
             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation                         Once the Expert validates her/his assessment, this assessment is sent to the
                                       BayesiaLab’s server and the Facilitator’s listener is automatically updated
  Environment




                                                                                      Clicking
                                                                      on OK makes BayesiaLab harvesting the
                                                                                   assessments.
                                                                  Closing the window cleared the question from the
                                                                  webpage of the Experts that do not have
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                                 17
The Facilitator’s tool




             Plan                         This gray part corresponds
                                      to the Experts’ probability distribution
                                                 assessments

  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                                                                    This second part contains the
                                                                                   Expert’s name, the Assessment’s
                                                                                  Confidence, the associated Comment
                                                                                 and the Time (in second) for validating
                                                                                           the assessment

  ©2010 BAYESIA SAS
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                                 18
The Facilitator’s tool

                                      The content of this editor is sortable by each column just by clicking on the corresponding header



             Plan                            It is sorted here in the ascending
                                          order on the probabilities assessed for the
                                                         state Young

  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
                                                                                Selecting the line allows
  Environment
                                                                             displaying the Expert’s picture




                                                      Sorting the assessments by state probabilities can be used for:
                                                                   - detecting Experts’ misunderstanding
                                                - Knowledge sharing, especially by making the 2 “extremes” Experts debate

                                                If some useful knowledge comes out from the debate, the Facilitator can post
                                                  again the question for a new Expert Assessment. Each Expert will then be
                                             allowed to update her/his assessment online (each Experts’ webpage is initialized
  ©2010 BAYESIA SAS
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                                                            with the information she/he set in the previous round)
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                                 19
The Consensus

                                      Once the assessments validated, a Mathematical consensus is computed by using the Experts’
                                        credibility and their assessment’s confidence. This automatic consensus can be manually
                                      modified by the Facilitator to set a Behavioral consensus, i.e. one issued after a fruitful debate

             Plan


  Modeling by
  Brainstorming
                                          Hovering over this icon                               A small icon is added at the left of
                                        returns the minimum and the                                each probability to graphically
  BAYESIALAB 5.0
                                       maximum assessments, and the                              represent the consensus degree:
  Knowledge                              number of assessments                                 from a full transparency when there
  Elicitation
                                                                                                    all the Experts agree on the
  Environment                                                                                  probability, to no transparency when
                                                                                                the range of the assessments is 1




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reproduction in whole or part
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                                 20
The Consensus

                                              An icon is added to the nodes for indicating the nodes that have Experts
                                              assessments. The darker the icon is, the lower the global consensus is


             Plan                                                                                        The probability
                                                                                                   distributions that have a set
                                                                                                   of assessments are framed
                                                                                                        with a green line
  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                         Here is the list of
                                      assessments corresponding
                                       to the second line of the
                                               table



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                                 21
The Consensus

                                                           Pressing the “i”
                                                     key while hovering over the
                                                     expert icon allows displaying
                                                    the information panel below
             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
                                                                                              iiiiiii
  Elicitation
  Environment



                                                                      This information panel contains:
                                          - the number of rows ((Conditional) probability distributions) that comes with Experts
                                                                                assessments
                                               - the total number of assessments that have been set in the probability table
                                      - the number of Experts that have assessed at least one probability distribution in the table
                                         - a measure of the global disagreement that takes into account the deviations from the
                                                                         mathematical consensus
                                           - the maximum disagreement corresponding to the greatest difference between two
  ©2010 BAYESIA SAS                                                 assessments in the probability table
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                                 22
The Assessment Report

                                      Right clicking on the Expert Icon in the lower left
                                      corner of the Graph window allows generating the
                                                     following HTML report.
                                       This report first gives information on the Experts,
             Plan                        then returns a sorted list of the nodes wrt the
                                        global disagreements, and another one wrt the
                                                    maximal disagreements.
                                      Finally, for each node, a summary contains all the
  Modeling by                            global information on the assessments of the
  Brainstorming                                  (Conditional) Probability Table

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                      All these informations can be useful for the Model
                                       Validation, e.g. by checking first the nodes based
                                        on their associated disagreements (global and
                                            maximal), then based on the time for the
                                      assessments (that can reflect a difficulty, or, on the
  ©2010 BAYESIA SAS
                                              contrary, too prompt assessments)
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                                 23
Exportation of a Bayesian Network per Expert




             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment



                                      This exportation tool allows to create a Bayesian Belief Network for each
                                                                        Expert.
                                       The parameters (probabilities) are those assessed by the Expert. If the
                                      Expert has not assessed all the probabilities, the model will use either the
                                        consensual probabilities, or those manually entered by the Facilitator




  ©2010 BAYESIA SAS
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reproduction in whole or part
without the Bayesia’s express
       written permission
                                 24
Exportation of the Probability Assessments

                                                                                  This exportation tool allows creating a CSV
                                                                                       file with all the assessments of the
                                                                                     probabilities. There is one column per
                                                                                 variable to describe the context (yellow), one
             Plan                                                                    column to indicate the assessed Node
                                                                                   (green), the other columns describing the
                                                                                  assessed probability, the confidence level,
                                                                                     the Expert, and the assessment time.
                                                                                   Each line describes one assessment of a
  Modeling by                                                                          (Conditional) Probability Table cell
  Brainstorming
                                      MitA/TiPo   MiAt      TiPo      Node       Probability   Confidence       Expert      Time
  BAYESIALAB 5.0
                                        Weak      Weak      Strong   MitA/TiPo      0,97           1            Hiro        56
  Knowledge
                                       Strong     Weak      Strong   MitA/TiPo      0,03           1            Hiro        56
  Elicitation
                                        Weak      Weak      Strong   MitA/TiPo      0,95           1           Haitien      210
  Environment
                                       Strong     Weak      Strong   MitA/TiPo      0,05           1           Haitien      210
                                        Weak      Weak      Strong   MitA/TiPo      0,8           0,58         Claire       145
                                       Strong     Weak      Strong   MitA/TiPo      0,2           0,58         Claire       145
                                        Weak      Weak      Strong   MitA/TiPo      0,85          0,77          Matt        65
                                       Strong     Weak      Strong   MitA/TiPo      0,15          0,77          Matt        65
                                        Weak      Weak      Strong   MitA/TiPo      0,4           0,8         Mohinder      76
                                       Strong     Weak      Strong   MitA/TiPo      0,6           0,8         Mohinder      76
                                        Weak      Weak      Strong   MitA/TiPo      0,75          0,9          Nathan       50
                                       Strong     Weak      Strong   MitA/TiPo      0,25          0,9          Nathan       50
                                         ...        ...       ...       ...          ...           ...           ...
                                                  Weak                 MiAt         0,7           0,2           Noah        76
  ©2010 BAYESIA SAS
                                                  Strong               MiAt         0,3           0,2           Noah        76
All rights reserved. Forbidden
reproduction in whole or part
without the Bayesia’s express                     Weak                 MiAt         0,75           1            Matt        90
       written permission
                                 25               Strong               MiAt         0,25           1            Matt        90
Exportation of the Expert Assessments

                                                                                    This exportation tool generates a CSV file
                                                                                      with all the assessments of the Experts.
                                                                                   There is one column per Expert, one column
                                                                                     per Expert’s Confidence (yellow), the last
             Plan                                                                   column indicating the weight of the line (1/
                                                                                    number of states of the assessed variable)
                                                                                                       (green).
                                                                                   Each line describes the Experts’ assessment
  Modeling by                                                                          of a(Conditional) Probability Table cell
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment
                                      Hiro      Hiro     Haitien      Haitien   ....       Noah        Noah        Weight
                                             Confidence              Confidence                        Confidence
                                      0,97       1        0,95          1       ....        0,7          0,8         0,5
                                      0,03       1        0,05          1       ....        0,3          0,8         0,5
                                      0,3      0,81       0,05          1       ....        0,3          0,7         0,5
                                      0,7      0,81       0,05          1       ....        0,7          0,7         0,5
                                       0         1         0            1       ....         0          0,79         0,5
                                       1         1         1            1       ....         1          0,79         0,5
                                      0,65     0,79       0,71          1       ....        0,7          0,2         0,5
  ©2010 BAYESIA SAS                   0,35     0,79       0,29          1       ....        0,3          0,2         0,5
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                                 26
Analysis of the Expert Assessments


                                                            We then can used this file to analyze the direct probabilistic
                                                            relationships that hold between the Experts’ assessments

             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                           This network has been
                                      automatically learned with one of
                                         the BayesiaLab’s Association                      Each node represents the
  ©2010 BAYESIA SAS                    Discovering algorithms on a set                       discretized probabilities
All rights reserved. Forbidden
reproduction in whole or part
                                       of 120 Experts’ assessments                          assessed by the Expert
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       written permission
                                 27
Automatic Segmentation of the Experts

                                          Based on the obtained network, Experts can be clustered into homogeneous
                                               groups by using the BayesiaLab’s Variable Clustering algorithm


             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment

                                           Dendrogram                                         Each color corresponds to a
                                        corresponding to that                          cluster. Three segments of Experts have
                                          segmentation                                         been induced in that example.
                                                                                       The real experts behind those anonymized
                                                                                      experts have indeed three different profiles
                                                                                           (functionally and geographically)



                                        Based on the obtained Expert Segments, one Bayesian network per segment can be
                                      generated (by using the Expert Editor). This can be useful for analyzing the sensibility of
  ©2010 BAYESIA SAS
                                      the model, but also to get specific networks (depending on the geographical localization
All rights reserved. Forbidden                                               for example)
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                                 28
Parameter Sensibility Analysis

                                      BayesiaLab also comes with an Assessment Sensitivity Analysis tool
                                      that allows measuring the uncertainty associated to the consensus.
                                         The general idea is to generate a set of networks by randomly
                                      drawing Experts’ assessments, and then measuring the uncertainty
             Plan                                  associated to each probability distribution.



  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




  ©2010 BAYESIA SAS
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reproduction in whole or part
without the Bayesia’s express
       written permission
                                 29
Parameter Sensibility Analysis




             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                         Three kinds of analysis are available, depending on the Random selection policy that is
                                             chosen to generate the set of networks (1000 networks in the above example):
                                        - One Expert per network: each network generated is parametrized by using the selected
                                         Expert (or the consensual probability if the selected Expert has not been involved in the
                                                                               assessment)
                                      - One Expert per node: each network generated is parametrized by selecting for each node
  ©2010 BAYESIA SAS                   one Expert. If the selected Expert is not involved, the consensual probability if the selected
All rights reserved. Forbidden                       - One assessment per Conditional Probability Table’s row (if any)
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                                 30
Parameter Sensibility Analysis


                                         States of the                        Tabs for the selection of
                                       analyzed variable                    the variable under analysis
             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge                            Density function illustrating
  Elicitation                                                                                     Marginal
                                      the uncertainty associated to                     probability distribution of the
  Environment                         this node. The Mean over the                       Target node computed with
                                       1000 networks (one Expert                            all the consensus
                                          per network) is 70.62%
                                          (versus 70.46% in the
                                          monitor), the Standard
                                       Deviation 2.13%. There are
                                        62% of chance of having a
                                      probability comprise between
                                               70 and 72%




  ©2010 BAYESIA SAS
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reproduction in whole or part
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       written permission
                                 31
Parameter Sensibility Analysis




             Plan


  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation
  Environment




                                      One Expert per node




                                                 One Expert per Conditional
  ©2010 BAYESIA SAS
All rights reserved. Forbidden
                                                     Probability row
reproduction in whole or part
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       written permission
                                 32
Contact



                                          Dr. Lionel JOUFFE
             Plan                          President / CEO

                                      Tel.:   +33(0)243 49 75 58
                                      Fax:    +33(0)243 49 75 83
  Modeling by
  Brainstorming

  BAYESIALAB 5.0
  Knowledge
  Elicitation                           6 rue Léonard de Vinci
                                               BP0119
  Environment
                                         53001 LAVAL Cedex
                                               FRANCE




   ©2010 BAYESIA SAS
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reproduction in whole or part
without the Bayesia’s express
       written permission
                                 33

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BayesiaLab Knowledge Elicitation Environment

  • 1. Plan Modeling by Brainstorming BayesiaLab’s Knowledge Elicitation BAYESIALAB 5.0 Knowledge Environment Elicitation Environment An innovative Brainstorming Tool Dr. Lionel JOUFFE May 2010 ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 1
  • 2. Plan Modeling by Brainstorming MODELING BY BRAINSTORMING BAYESIALAB 5.0 Knowledge MODELING BY BRAINSTORMING Elicitation Environment All models are wrong; the practical question is how wrong do they have to be to not be useful (Box&Draper 87) ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 2
  • 3. Designing a Model for Decision Support Every Company is faced to complex decisions that need to be rationally supported Plan Sometime, there are too few data available, or no data at all, to allow using data mining and data analysis technics to automatically build a Decision Support System Modeling by Brainstorming Experts have gathered invaluable Tacit Knowledge through BAYESIALAB 5.0 their experience Knowledge Elicitation We need to Convert this Tacit Knowledge into Explicit Environment Knowledge and use it to build a model We want actionable models to allow What-if scenarios (simulation and/or diagnosis), drivers analysis, ... Bayesian Belief Networks (BBNs) are ideal models for such problematics: their graphical representation allows a manual design by using expert knowledge, and their probabilistic engines offer powerful simulation capabilities ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 3
  • 4. BBNs are made of Two Distinct Parts Structure Directed Acyclic Graph (DAG), i.e. no directed loop Plan Nodes represent the variables Each node has a set of exclusive states (e.g.: Young, Adult, Aged) Modeling by Brainstorming Arcs represent the direct probabilistic influences between the BAYESIALAB 5.0 variables (possibly causal) Knowledge Elicitation Environment Parameters Probability distributions are associated to each node, usually by using tables CONDITIONAL PROBABILITY DISTRIBUTION MARGINAL A smoker has a 60% of risk of suffering PROBABILITY DISTRIBUTION from a Bronchitis, whereas the risk of We consider a population made a non smoker is 30% only of 40% of Adults ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 4
  • 5. BBNs are Powerful Inference Engines We get some evidence on the states of a subset of variables: Hard positive and negative evidence, Likelihoods, Probability distributions, Mean values Plan We take these findings into account in a rigorous way to update our belief on the states of all the other variables Modeling by Brainstorming Probability distributions on their values BAYESIALAB 5.0 Knowledge Multi-Directional Inference (Simulation and/or Diagnosis) Elicitation Environment Prior Distribution Posterior Distribution The evidence on Smoker (a new probability distribution) allows to update the probability distribution of Age (Diagnosis) and Bronchitis (Simulation) ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 5
  • 6. BBN Modeling by Brainstorming Plan Clear definition of the BBN’s objective(s) (e.g.: Improvement of the Product/Service Quality, improvement of the Purchase Intent, improvement of the Company’s performance, ...) Modeling by Brainstorming Identification of the conceptual dimensions that are linked to those objectives (e.g.: Human resources, Management, BAYESIALAB 5.0 Production, Marketing, ...) Knowledge Elicitation Environment Definition of the group of experts that will fully cover all the dimensions (and the different geographical zones), with a small redundancy to allow fruitful debates Brain Storming Sessions with this group of Experts to manually build the BBN ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 6
  • 7. The Structure The Directed Acyclic Graph The structure elicitation is probably the simplest task of the Brainstorming session For each identified conceptual dimension Plan Definition of the main variables Modeling by Definition of the exclusive states of those variables Brainstorming Creation of one node per identified variable BAYESIALAB 5.0 Knowledge Elicitation Brainstorming to define the direct relationships between the Environment variables, and addition of the corresponding arcs between those dependent variables ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 7
  • 8. The Parameters Probability Distributions Probabilities do not have to be exact to be useful For each root node, i.e. without incoming arc, definition of the marginal probability distribution over the defined states Plan For each node with incoming arc(s), definition of the conditional probability distribution over the defined states, for each combination of the states of Modeling by its connected nodes Brainstorming Each expert gives his/her belief on the distributions BAYESIALAB 5.0 Knowledge Elicitation Environment There are various kinds of biases to be aware of Cognitive (Plausibility, Control, Availability, Anchoring) Emotional (Mood, Motivation) Group (Anchoring, Herding) Facilitator (can be biased toward charismatic experts or toward the last expressed opinion) ☛ Use the new BayesiaLab’s Knowledge Elicitation environment ©2010 BAYESIA SAS to reduce these biases, to improve traceability, to gather all the All rights reserved. Forbidden reproduction in whole or part useful knowledge, .... without the Bayesia’s express written permission 8
  • 9. Plan Modeling by Brainstorming BAYESIALAB 5.0 BAYESIALAB 5.0 Knowledge Elicitation Environment Knowledge Elicitation Environment ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 9
  • 10. The Experts Definition of the group of Experts Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 10
  • 11. The Experts This Expert Editor allows defining: The Expert’s name, its Credibility (that will be use globally during the consensus computation), her/his Picture, a Comment to describe her/his area of expertise. The last field contains the number of assessments realized by the expert on the Plan current network Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment - Group of experts can be Imported/Exported - The Open Session button allows opening an Online Brainstorming Session* - The Generate Tables button allows generating a Bayesian network by using the assessments of the selected experts only ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 11 * Available on subscription only
  • 12. The Experts’ Assessments Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment Selecting a cell in the probability table activates the Assessment button for assessing the question corresponding to the selected line, i.e. what is the marginal probability distribution of Age over the 3 defined states? ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 12
  • 13. The Experts’ Assessments Pressing the Assessment button opens the Assessment Editor that allows the Facilitator to manually add, delete and modify Experts’ Assessments. Plan The Post Assessment button can be used by the Facilitator to Post the question to the BayesiaLab’s secured website for an online assessment Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 13
  • 14. The Expert Online Assessment Tool The secured website Plan Modeling by The Expert’s name, The session name Brainstorming case sensitive! BAYESIALAB 5.0 Knowledge Elicitation Environment Once logged in, the Expert is waiting for a question ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 14
  • 15. The Expert Online Assessment Tool: Example with the 3 states variable Age Once the Facilitator has posted the question with the Assessment Editor, the question is displayed on the Expert’s webpage. Plan The question is relative to the node “Age”, that has 3 states: Young, Adult and Aged. There are then 3 sliders for the probability distribution assessment, and another one Modeling by for the confidence Brainstorming There is no context (root node). This is then a marginal probability BAYESIALAB 5.0 Knowledge Elicitation Check Environment box for fixing the probability of the state Pie Chart representing the probability distribution specified with the sliders The label corresponds to the The Confidence level the expert comment field can be has specified with the used for explaining the ©2010 BAYESIA SAS Confidence Slider (ranging assessment All rights reserved. Forbidden reproduction in whole or part from “I Do not Know” to “I without the Bayesia’s express written permission am Certain”) 15
  • 16. The Expert Online Assessment Tool: Example with the binary variable Cancer The context variables in the BBN Plan Hovering over the context variables returns the comment Modeling by associated to the corresponding node, if any Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment This question is relative to node Cancer, and the specific Context is “Age = Adult” and “Smoker = Yes” ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 16
  • 17. The Facilitator’s tool This listener allows following the status of the Experts’ assessments Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Once the Expert validates her/his assessment, this assessment is sent to the BayesiaLab’s server and the Facilitator’s listener is automatically updated Environment Clicking on OK makes BayesiaLab harvesting the assessments. Closing the window cleared the question from the webpage of the Experts that do not have ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 17
  • 18. The Facilitator’s tool Plan This gray part corresponds to the Experts’ probability distribution assessments Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment This second part contains the Expert’s name, the Assessment’s Confidence, the associated Comment and the Time (in second) for validating the assessment ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 18
  • 19. The Facilitator’s tool The content of this editor is sortable by each column just by clicking on the corresponding header Plan It is sorted here in the ascending order on the probabilities assessed for the state Young Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Selecting the line allows Environment displaying the Expert’s picture Sorting the assessments by state probabilities can be used for: - detecting Experts’ misunderstanding - Knowledge sharing, especially by making the 2 “extremes” Experts debate If some useful knowledge comes out from the debate, the Facilitator can post again the question for a new Expert Assessment. Each Expert will then be allowed to update her/his assessment online (each Experts’ webpage is initialized ©2010 BAYESIA SAS All rights reserved. Forbidden with the information she/he set in the previous round) reproduction in whole or part without the Bayesia’s express written permission 19
  • 20. The Consensus Once the assessments validated, a Mathematical consensus is computed by using the Experts’ credibility and their assessment’s confidence. This automatic consensus can be manually modified by the Facilitator to set a Behavioral consensus, i.e. one issued after a fruitful debate Plan Modeling by Brainstorming Hovering over this icon A small icon is added at the left of returns the minimum and the each probability to graphically BAYESIALAB 5.0 maximum assessments, and the represent the consensus degree: Knowledge number of assessments from a full transparency when there Elicitation all the Experts agree on the Environment probability, to no transparency when the range of the assessments is 1 ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 20
  • 21. The Consensus An icon is added to the nodes for indicating the nodes that have Experts assessments. The darker the icon is, the lower the global consensus is Plan The probability distributions that have a set of assessments are framed with a green line Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment Here is the list of assessments corresponding to the second line of the table ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 21
  • 22. The Consensus Pressing the “i” key while hovering over the expert icon allows displaying the information panel below Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge iiiiiii Elicitation Environment This information panel contains: - the number of rows ((Conditional) probability distributions) that comes with Experts assessments - the total number of assessments that have been set in the probability table - the number of Experts that have assessed at least one probability distribution in the table - a measure of the global disagreement that takes into account the deviations from the mathematical consensus - the maximum disagreement corresponding to the greatest difference between two ©2010 BAYESIA SAS assessments in the probability table All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 22
  • 23. The Assessment Report Right clicking on the Expert Icon in the lower left corner of the Graph window allows generating the following HTML report. This report first gives information on the Experts, Plan then returns a sorted list of the nodes wrt the global disagreements, and another one wrt the maximal disagreements. Finally, for each node, a summary contains all the Modeling by global information on the assessments of the Brainstorming (Conditional) Probability Table BAYESIALAB 5.0 Knowledge Elicitation Environment All these informations can be useful for the Model Validation, e.g. by checking first the nodes based on their associated disagreements (global and maximal), then based on the time for the assessments (that can reflect a difficulty, or, on the ©2010 BAYESIA SAS contrary, too prompt assessments) All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 23
  • 24. Exportation of a Bayesian Network per Expert Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment This exportation tool allows to create a Bayesian Belief Network for each Expert. The parameters (probabilities) are those assessed by the Expert. If the Expert has not assessed all the probabilities, the model will use either the consensual probabilities, or those manually entered by the Facilitator ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 24
  • 25. Exportation of the Probability Assessments This exportation tool allows creating a CSV file with all the assessments of the probabilities. There is one column per variable to describe the context (yellow), one Plan column to indicate the assessed Node (green), the other columns describing the assessed probability, the confidence level, the Expert, and the assessment time. Each line describes one assessment of a Modeling by (Conditional) Probability Table cell Brainstorming MitA/TiPo MiAt TiPo Node Probability Confidence Expert Time BAYESIALAB 5.0 Weak Weak Strong MitA/TiPo 0,97 1 Hiro 56 Knowledge Strong Weak Strong MitA/TiPo 0,03 1 Hiro 56 Elicitation Weak Weak Strong MitA/TiPo 0,95 1 Haitien 210 Environment Strong Weak Strong MitA/TiPo 0,05 1 Haitien 210 Weak Weak Strong MitA/TiPo 0,8 0,58 Claire 145 Strong Weak Strong MitA/TiPo 0,2 0,58 Claire 145 Weak Weak Strong MitA/TiPo 0,85 0,77 Matt 65 Strong Weak Strong MitA/TiPo 0,15 0,77 Matt 65 Weak Weak Strong MitA/TiPo 0,4 0,8 Mohinder 76 Strong Weak Strong MitA/TiPo 0,6 0,8 Mohinder 76 Weak Weak Strong MitA/TiPo 0,75 0,9 Nathan 50 Strong Weak Strong MitA/TiPo 0,25 0,9 Nathan 50 ... ... ... ... ... ... ... Weak MiAt 0,7 0,2 Noah 76 ©2010 BAYESIA SAS Strong MiAt 0,3 0,2 Noah 76 All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express Weak MiAt 0,75 1 Matt 90 written permission 25 Strong MiAt 0,25 1 Matt 90
  • 26. Exportation of the Expert Assessments This exportation tool generates a CSV file with all the assessments of the Experts. There is one column per Expert, one column per Expert’s Confidence (yellow), the last Plan column indicating the weight of the line (1/ number of states of the assessed variable) (green). Each line describes the Experts’ assessment Modeling by of a(Conditional) Probability Table cell Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment Hiro Hiro Haitien Haitien .... Noah Noah Weight Confidence Confidence Confidence 0,97 1 0,95 1 .... 0,7 0,8 0,5 0,03 1 0,05 1 .... 0,3 0,8 0,5 0,3 0,81 0,05 1 .... 0,3 0,7 0,5 0,7 0,81 0,05 1 .... 0,7 0,7 0,5 0 1 0 1 .... 0 0,79 0,5 1 1 1 1 .... 1 0,79 0,5 0,65 0,79 0,71 1 .... 0,7 0,2 0,5 ©2010 BAYESIA SAS 0,35 0,79 0,29 1 .... 0,3 0,2 0,5 All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 26
  • 27. Analysis of the Expert Assessments We then can used this file to analyze the direct probabilistic relationships that hold between the Experts’ assessments Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment This network has been automatically learned with one of the BayesiaLab’s Association Each node represents the ©2010 BAYESIA SAS Discovering algorithms on a set discretized probabilities All rights reserved. Forbidden reproduction in whole or part of 120 Experts’ assessments assessed by the Expert without the Bayesia’s express written permission 27
  • 28. Automatic Segmentation of the Experts Based on the obtained network, Experts can be clustered into homogeneous groups by using the BayesiaLab’s Variable Clustering algorithm Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment Dendrogram Each color corresponds to a corresponding to that cluster. Three segments of Experts have segmentation been induced in that example. The real experts behind those anonymized experts have indeed three different profiles (functionally and geographically) Based on the obtained Expert Segments, one Bayesian network per segment can be generated (by using the Expert Editor). This can be useful for analyzing the sensibility of ©2010 BAYESIA SAS the model, but also to get specific networks (depending on the geographical localization All rights reserved. Forbidden for example) reproduction in whole or part without the Bayesia’s express written permission 28
  • 29. Parameter Sensibility Analysis BayesiaLab also comes with an Assessment Sensitivity Analysis tool that allows measuring the uncertainty associated to the consensus. The general idea is to generate a set of networks by randomly drawing Experts’ assessments, and then measuring the uncertainty Plan associated to each probability distribution. Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 29
  • 30. Parameter Sensibility Analysis Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment Three kinds of analysis are available, depending on the Random selection policy that is chosen to generate the set of networks (1000 networks in the above example): - One Expert per network: each network generated is parametrized by using the selected Expert (or the consensual probability if the selected Expert has not been involved in the assessment) - One Expert per node: each network generated is parametrized by selecting for each node ©2010 BAYESIA SAS one Expert. If the selected Expert is not involved, the consensual probability if the selected All rights reserved. Forbidden - One assessment per Conditional Probability Table’s row (if any) reproduction in whole or part without the Bayesia’s express written permission 30
  • 31. Parameter Sensibility Analysis States of the Tabs for the selection of analyzed variable the variable under analysis Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Density function illustrating Elicitation Marginal the uncertainty associated to probability distribution of the Environment this node. The Mean over the Target node computed with 1000 networks (one Expert all the consensus per network) is 70.62% (versus 70.46% in the monitor), the Standard Deviation 2.13%. There are 62% of chance of having a probability comprise between 70 and 72% ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 31
  • 32. Parameter Sensibility Analysis Plan Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation Environment One Expert per node One Expert per Conditional ©2010 BAYESIA SAS All rights reserved. Forbidden Probability row reproduction in whole or part without the Bayesia’s express written permission 32
  • 33. Contact Dr. Lionel JOUFFE Plan President / CEO Tel.: +33(0)243 49 75 58 Fax: +33(0)243 49 75 83 Modeling by Brainstorming BAYESIALAB 5.0 Knowledge Elicitation 6 rue Léonard de Vinci BP0119 Environment 53001 LAVAL Cedex FRANCE ©2010 BAYESIA SAS All rights reserved. Forbidden reproduction in whole or part without the Bayesia’s express written permission 33