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                                                            COMO CAMPUS




                   Information visualization
                   for exploratory interfaces
                   Luigi Spagnolo
                   luigi.spagnolo@polimi.it


     1              Information and Communication Quality




Why visualization? | 1
!!   Highlighting/analysing/learning relationships in
     data
!!   Telling stories with data
         !! Informative and persuasive
         !! Fostering learning
         !! Goal: provide a simplified and emotional view of a
            domain
         !! Representation accuracy is secondary w.r.t.
            communicative impact




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Why visualization? | 2
!!   Visual data analysis
     !! Mainly informative
     !! Goal: provide a tool for visual data mining

     !! High precision is essential




Why visualization? | 2
!!   More in general…
     !! Understanding  the domain and its vocabulary
     !! The features of information items in it

     !! How much these features are relevant (within the
        specific context of exploration " query)
     !! How these features are correlated




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    Informative vs Persuasive vs Visual art
                        !!   Informative
                             !!   The reader/viewer looks at the
                                  data to acquire knowledge
                        !!   Persuasive
                             !!   The designer uses data
                                  essentially to convey an intended
                                  message to the reader
                        !!   Visual art
                             !!   The designer “plays” with data
                                  just for the sake of art and
                                  aesthetics




6




                   http://www.thepaltrysapien.com/2011/06/art-in-the-age-of-interface/
                   visual-art-derived-from-altanta-airway-traffic-coded-by-type/




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    Static vs dynamic | 1
    !!   Infographics: static and carefully designed to
         convey the intended message(s) and “tell a story
         with data”
         !! Often manually drawn (e.g. with software like Adobe
            Illustrator)
         !! Aesthetics is fundamental for emotional impact.
         !! Tailored to the specific data (and therefore nontrivial
            to recreate with different data).
         !! Relatively data-poor (because each piece of
            information must be manually encoded).




8




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     Static vs dynamic | 2
     !!   Exploration: the message(s) emerge from interaction
          !!   Also in a way that is not preplanned by designers " users
               discover “which is story the data tell them”
          !!   Designed to be adaptive to different datasets (or updates
               of the same dataset) and different user queries
          !!   Simpler visualization: must be rendered at runtime
          !!   Complexity is in the interaction and in the amount of data
               shown
          !!   High responsiveness is fundamental to support effective
               interaction (rich internet applications required)




     A brief recall | 1
10



     !!   Facet
          !!   A property describing items features
     !!   Facet vocabulary
          !!   Possible values for the property
     !!   Facet widget
          !! Feedback: Monitoring the distribution of items w.r.t.
             to the terms of a given property
          !! Selection: Adding (or replacing) terms (or
             disjunctions of multiple options or negated concepts)
             in AND




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     A brief recall | 2
11




     !!   Canvas
          !! Visualization  (and analysis) of query results
          !! Possibly according to one or more dimensions
             (facets) at differents levels of granularity




     Contents of the lecture
12




     !!   Visualizing facets
          !! For facet widgets
          !! Univariate (monodimensional) visualizations

     !!   Visualizing the set of results
          !! Lists,indexes and alike
          !! Multivariate (multidimensional) visualizations "
             show correlations between features
          !! Network visualizations " show relationships
             between items




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      Let’s see an example…
13




      !!   Policulture Portal
           !! http://hoc.elet.polimi.it/PoliculturaPortal/
           !! A prototypal interface for exploring 1001stories
              narratives created by students within the
              PoliCultura contest for Italian schools
           !! Several facets: school level, discipline, words
              extracted from abstracts, etc.
           !! See also: !
             http://www.museumsandtheweb.com/mw2012/papers/
             policultura_portal_17000_students_tell_their_s




     14       Visualizing facets




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     The elements of visualization | 1
15




     !!   A range of possible values for a property "
          facet vocabulary
          !! Strings of but also number, dates, complex
             concepts, etc.
          !! Possibly arranged into a hierarchy
      competition : 'Winner'! competition : 'Finalist'! competition : 'Competition'

        !! Possibly sorted according to a natural order
      schoolLevel : 'primary'! schoolLevel : 'junior'! schoolLevel : 'senior'




     The elements of visualization | 2
16




     !!   A measure of relevance for each term t !TF with
          respect to the context of the current query q !Q
           µ :TF ! Q " !
     !!   Possible measures
          Count: µ ( t,q ) = ext ( t and q )

                                   ext ( t and q )                         ext ( t and q )
          Precision: µ ( t,q ) =                     Recall: µ ( t,q ) =
                                      ext ( q )                               ext ( t )




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     The elements of visualization | 3
17




     !!   A visualization strategy
          !! Mapping    the measure of the term relevance to a
             graphical aspect
          !! E.g. length, width, areas, colors, angles, font
             size, etc.
          !! E.g. for a bar chart:

                                    µ ( t,q )           ! unit : unit of length (e.g. in pixels)
               ! ( t,q ) = ! unit               where
                                    µ max,q             µ max,q : max relevance value for query q




     Tag cloud
18



     !!   The relevance of a term is represented by the font
          size
     !!   Proportional scaling
          !!   The size of a term is directly proportional to its relevance measure
     !!   Logarithmic scaling
          !!   The size of a tag is proportional to the logarithm of it relevance
     !!   Class-based sizing
          !!   The size of a term can assume only some values
          !!   Each possible size corresponds to a range of relevance measure
               values
          !!   Each tag takes the size corresponding to the range in which its
               relevance measure falls




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        Calculating the size of each tag
19




!!    Proportional scaling
      !!   The size of a tag is directly proportional to its magnitude
!!    Logarithmic scaling
      !!   The size of a tag is proportional to the logarithm of it magnitude
!!    Class-based sizing
      !!   The size of a tag can assume only some values
      !!   Each possible size corresponds to a range of tag magnitudes
      !!   Each tag takes the size corresponding to the range in which its
           magnitude falls




        Proportional scaling
20



!!    The minimum and maximum tag size desired (given as parameter
      by the designer): ! min , ! max
!!    Finding the minimum (non-zero) and maximum term relevance:

                       (
      µ max,q = max µ ( ti ,q )    )
                                       with µ ( ti ,q ) > 0
                    ti !T

      µ min,q   = min ( µ ( t ,q ))
                             i
                   ti !T


!!    The formula for µ ti ,q > 0      ( )                           where

                                  (
     ! ( ti ,q ) = ! min + µ ( ti ,q ) " µ min            )   #!
                                                              #µ q
                                                                     !" = " max # " min
                                                                     !µ q = µ max,q # µ min.q




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       Logarithmic scaling
21



!!   Exactly the same formula, but with the logarithm (usually with base
     10) of the term relevance:
     !
     µ ( ti ,q ) = logµ ( ti ,q )                                                          (           )
                                                                          !             !
                                                                          µ max,q = max µ ( ti ,q )
                                                                                                                !
                                                                                                           with µ ( ti ,q ) > 0
                                                                                        ti !T

                                                                                    = min ( µ ( t ,q ))
                                                                          !                 !
                                                                          µ min,q                i
                                                                                       ti !T




                      ( !             !    #!
     ! ( ti ) = ! min + µ ( ti .q ) " µ min !
                                           #µ
                                                 )                           !" = " max # " min
                                                                              ˆ ˆ
                                                                             !$ = $ # $  ˆ
                                                                                         max         min




       Class-based scaling | 1
22



!!   Again: ! min , ! max given                      (
                                    µ max,q = max µ ( ti ,q )    )                          calculated
                                                                     with µ ( ti ,q ) > 0
                                                  ti !T

                                    µ min,q   = min ( µ ( t ,q ))
                                                           i
                                                 ti !T

!!   The desired number of sizes N (usually between 3 and 20)
!!   A ordered set of sizes ! = {! 0 , ! 1,…, ! N }
!!   And the corresponding ranges ! = {!0 , !1,…, ! N }
!!   A mapping {(! 0 , "0 ), (! 1, "1 ),…, (! k , !k ),…} based on the same index k




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      Class-based scaling | 2
23



!!   Each range is !k = [lk , hk ]

                                                 µ max,q ! µ min,q
     !!                              (
          Lower bound: lk = µ min,q + k ! 1  )          N
                                         µ max,q ! µ min,q
     !!   Higher bound h = µ       +k
                        k    min,q
                                                  N




      An analogy…
24



!! A list of students
!! Each student has her own mark between

   18-30
     !!   Studenti = <namei, marki>
!!   We want to display the list such that the size of
     each name depends on how high is the mark
!!   We create 3 ranges: !max ! !min = 30 !18 = 12
     !! 18-22,       22-26, 26-30




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      Class-based scaling | 3
25



!!   Simple way
     !!   we compute ranges in advance
     !!   For each term, we check the range in which it falls
!!   Smarter way
     !!   We just keep a mapping between the index k and the corresponding
          size ! k
                                           ( )
                                      " µ ti ,q ! µ min,q %
          We just determine k = floor $ N
     !!                                                   '
                                      # µ max,q ! µ min,q &




      An analogy | 2
26



!!   E.g. for mark 21:
               # 21 "18 &         # 3&
     k = floor % 3!     ( = floor % 3! ( = floor ( 0.75) = 0
               $ 30 "18 '         $ 12 '
!!   E.g. for 25:
               # 25 "18 &         # 7&
     k = floor % 3!     ( = floor % 3! ( = floor (1.75) = 1
               $ 30 "18 '         $ 12 '
!!   E.g. for 29:
               # 29 "18 &         # 11 &
     k = floor % 3!     ( = floor % 3! ( = floor ( 2.75) = 2
               $ 30 "18 '         $ 12 '




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      Which scaling function? | 1
27



!!   Power law: in many cases the term measure
     (e.g. count) is proportional to a power of the
     number of terms having that relevance
     measure value
     !!   Few tags have very high frequency
     !!   Many tags have low frequency
     !!   With proportional scaling: few tags are huge,
          many tags are very small
!!   Logarithmic scaling “adjusts” power laws
     distributions by “turning” them into linear…
     !!   Smoother difference between tags




      Which scaling function? | 2
28



!!   Class-based sizing: like a step
     (piece-wise) function
!!   Proportional scaling using sizes in
     pixels:
     !!   Since each tag size must be an integer
     !!   Proportional scaling is like class scaling
          with N = µ     !µ
                      max     min
!!   Class-based sizing can have a
     logarithmic scaling too




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      Tag clouds: pro and cons
29




!!   A tag cloud shows a “simplified” representation of
     the distribution of terms according to the facet
     !! Advantage: very immediate to convey basic facts (e.g.
        which concepts are more relevant)
     !! Disadvantage: Cannot analyse in more detail the
        quantities into account




      Other visualizations | 1
30




!!   Bar charts and histograms
     !!   Length of the bar proportional to the term relevance
          measure
     !!   Possibly logarithmic scaling applied
     !!   Allow for a more faithful representation " it is possible to
          compare relative length of bars
     !!   Less immediate and “eye candy”




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      Other visualizations | 2
31




!!   Displaying the fraction of a feature with respect to
     the whole range
     !! Stacked bars

     !! Pie chart



     !! Lengths  are easier to compare than angles
     !! But pie chart may be more “immediate” and
        engaging to convey a message




      Pie charts and 3D views
32




!!   The 3D may distort too
     much the values




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      The role of colors
33




!!   Different colors can be used to represent categorical
     values
!!   If you want to convey numerical ordering between
     term, choose different shades rather than different
     colors
     !! E.g. states by population

     !! less populated " lighter shade

     !! more populated " darker shade




      The role of colors: bad example
34




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     The role of colors: better solution
35




     36   Visualizing items




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     Lists, indexes and alike | 1
37




     !!   Allow for access to specific items
     !!   Items are represented as a “preview”
          !! E.g.thumbnail, snippet, etc.
          !! Some salient features are chosen by the designer
             and/or the user
     !!   Sorting/grouping of items can be allowed




     Lists, indexes and alike | 2
38




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     Lists, indexes and alike | 3
39




                              Tubular/grid view




     Lists, indexes and alike | 4
40




     Icons rather than text
     can help at a glance
     understanding




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     Scatter plot
41




     !!   Classical statistical
          diagram
          !!   Shows correlations between
               a feature on the x axis and
               a feature on the y axis
     !!   For quantitative data
     !!   Good impact only for
          “expert” user




     Aggregate views | 1
42




     !!   Focus on features shared by items and their
          correlation
          !! Access      to specific item is secondary
     !!   Items are grouped and aggregated according
          to two or more dimensions (at a certain level of
          granularity)
          !! Aggregation         measures: count, average, min,
               max, etc.




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     Aggregate views: matrix chart | 1
43




     !!   Two facets: one for rows and one for columns
     !!   Each datapoint (pair of terms) is represented
          as a circle (or other shape), where…
                               TX : Facet vocabulary for rows
          ( )
           t x ,t y !TX " TY
                               TY : Facet vocabulary for columns
          !! Thesize of the shape represents the number of
            items “belonging” to the data point:
              (       )        (
            µ t x ,t y ,q = ext q and t x and t y   )




     Aggregate views: matrix chart
44




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     Aggregate views: matrix + pie chart
45




     Aggregate views: mosaic plot | 1
46




     !!   A “mix” between stacked bars/columns and
          matrix plot
     !!   Width and height of rectangles represent two
          different features
          !! The area of the rectangle shows how many items
             “belong” to the data point
          !! More than two dimensions are possible with
             additional splits (but becomes less clear)




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     Aggregate views: mosaic plot | 2
47




                                     !!   Songs by:
                                          !! Theme
                                             (rows)
                                          !! Decade
                                             (columns)




         Aggregate views: mosaic plot | 3
48



                           !!   Passengers by:
                                !! Gender (1st
                                   horizontal split)
                                !! Survived vs. deceas
                                   (2nd horiz. Split +
                                   color)
                                !! Travel class (1st
                                   vertical split)
                                !! Age (2nd vertical
                                   split)
                           !!   What you can learn
                                from that?




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             Aggregate views: mosaic plot | 4
49




                                           !!   All male crew
                                                members died!
                                           !!   Richest (1st class)
                                                women and
                                                children survived
                                           !!   Poorest (2nd class)
                                                deceased mostly




      Pixel grid plot
50




 !!   Between a list/index and a
      mosaic plot…
 !!   Each “pixel” or tassel represent
      an item
 !!   One dimension is represented by
      color
      !! A second dimension may be
         represented by the tassel shape
      !! Aggregation is “at a glance”




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          Network graphs | 1
51




     !!   Show relations between items as a graph where:
           !! Nodes are items
           !! Edges are shared features

     !!   The edge can be “weighted” depending on how
          much a pair item have in common
           !!    Weights may be represented by length thickness
                and/or by spatial distance




          Network graphs | 2
52




     !!   Nicoletta Di Blas
          co-authors on
          Microsoft
          Academic Search
          !!   http://
               academic.research.microsoft.co
               m/VisualExplorer#686102




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     53      Visualizing geography




      Geographical information
54




      !!   Thematic maps visually represent one or more features on
           a geographical area
      !!   Digital, interactive thematic maps
           !! Users can zoom and/or adjust visualization in some way
           !! Users can filter items

      !!   More features at once: multivariate thematic map
           !! Different signs (shapes, colors, icons) can be used for
              showing more characteristics on the same map
           !! Avoid mixing shapes, colors and icons together: the result
              may be very messy!




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     Dot map
55


     !!   Simplest thematic map
          !!   One placemark = one item at its
               exact location (like in Google
               Maps), or
          !!   One sign = k items in that area
          !!   Different signs (shapes, colors,
               icons) can be used for showing
               more characteristics on the same
               map
     !!   May be messy if many items are
          concentrated in a small area
          !!   Expecially at low levels of zoom
          !!   Expecially multivariate dot maps




     Dot map: nice interactive example
56


     !!   http://www.lemonde.fr/election-presidentielle-2012/visuel/2012/04/23/rapports-de-
          force-entre-les-candidats_1688324_1471069.html




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     Graduated symbol map | 1
57


     !!   Also called Proportional symbol map
          !!   The map is divided into areas
               #!   (e.g. administrative areas)
          !!   One sign for each area (single
               feature)
          !!   One sign for each of N features in
               each area (multivariate)
          !!   The size of the sign changes
               according to the number of items
               with feature X on area Y
          !!   Proportial, linear, class scalings
          !!   Multivariate version tends to be messy
               if you display too much values at one




     Graduated symbol map | 2
58



     !!   Advantages
          !!   Statistical distribution on a certain area clearly showed
          !!   (With respect to dot map) overlapping of signs avoided
     !!   Disadvantages
          !!   Multivariate version tends to be messy if you display
               too much values at once (e.g. facets with many distinct
               values)
     !!   The scaling should be carefully chosen to avoid too
          huge or too small signs




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       Pie chart map | 1
59



!!    Similar to multivariate graduate
      symbol map
      !! The map is divided into areas
             #!   (e.g. administrative areas)
      !!   One circle (pie) for each area
      !!   Each part is cut into slices
      !!   The size of the slice is
           proportional to the number of
           items with feature X on area Y




       Pie chart map | 2
60




        !!    With respect to multivariate graduate symbol
              map…
        !!    Advantages
              !! Less messy when you have to show a lot features at
                 once
        !!    Disadvntages
              !! Features with low frequency are less visible

        !!    Analogously we could have histogram chart maps

     Information and Communication Quality | Multifaceted Classification and




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       Choropleth map | 1
61




        !!    Using colors, shades or patterns
              !!   The map is still divided into
                   areas
        !!    Each area is colored/patterned/
              shaded according to the feature
              to show
        !!    High communicative strengh,
              but…

     Information and Communication Quality | Multifaceted Classification and




       Choropleth map | 2
62



         !!   A single area may be
              colored/shaded/patterned
              according on mutually
              escusive values
              !!   E.g. Regions that are
                   governed by left vs. right
                   parties
         !!   Single-valued facets only




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      Choropleth map | 3
63



      !!   The gradient of shade/color
           may be proportial to the
           frequency of a single feature
           !!   E.g. number of earthquakes,
                population
           !!   To show more features at
                ones you should overlap
                colors or patterns: too
                messy
           !!   You need a map for each
                facet value




     64         Visualizing time




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        Timeline
 65


!!    Shows discribution of items in time
      !! Duration can be represented by a bar length

      !! Callout for item preview

      !! Two or more “resolutions” (unit of time) " detail vs. overall view




        Stacked area chart
 66




  !!   Shows evolution of
       multiple (numeric)
       features over time
       !!   Each feature is represented by
            the colored area
       !!   Features are stacked
       !!   The summation of features
            represents the whole




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      Streamgraph
67




 !!   Evolution of trends (themes of discussion) over time:
      !!   stacked area + tag cloud




      Designing exploratory applications
      !!   Elicit requirements
      !!   Decide relevant features
      !!   Design effective visualization




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69      Designing explorations




 Requirements: users and stakeholders
 !!   Identify users and their goals
      !! Expert vs novice
      !! Ontologies used

      !! Overall understanding vs detailed analysis

 !!   Identify stakeholders goals towards users
 !!   Identify related scenarios of usage




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Requirements: data and application
!!   Constraints on the type and quantity of information the
     designer can rely on
     !!   Number of items and features to handlw
     !!   Already existing sources (e.g. for information mash-ups)
     !!   Efforts required for editing and classification
          #!   E.g. classifiying ancient artifacts is quite difficult because experts
               disagree!
!!   Technical and application constraints
     !!   Data formats and kind of devices
     !!   Software architecture, responsiveness, latency (for web
          applications)
     !!   Time-to-market




Indentifying relevant features
!!   With respect to each kind of user, identify
     !!   The information items they are interested in
     !!   The relevant properties the user may be actually interested
          in
     !!   If necessary, map existing data description to the required
          facets
          #!   E.g. if you already have “birth-date” and you need “age”, you have
               to compute it
          #!   E.g. convert currencies, unit of measures, etc.
!!   Also possibly map different classifications for different
     users




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     Design visualization
!!   Evaluate each facet and consider
     !! Showing relative vs absolute relevance of terms
     !! Precise representation vs “at a glance” understanding
        and “emotive” impact
     !! Depending on: user interests, number and type of
        terms to display, distribution of properties
!!   Do the same for canvases
!!   Building a fast prototype with a sample of realistic
     data may be very helpful
     !!   Help understanding how data “actually looks like”




                                                             COMO CAMPUS




                    Project B:!
                    design and prototyping of
                    an exploratory interface
                    Luigi Spagnolo
                    luigi.spagnolo@polimi.it


      74             Information and Communication Quality




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     The project
75




     !!   Choose a topic of your interest
     !!   Find information, create and organize a
          collection of information items
     !!   Design the application:
          !! The features (facets) used for the exploration
          !! The visualization of results

     !!   Delivery material: report + prototype




     Topics
76



     !!   Suggested domains/information items
          !! Arts, cinema, literature, music " artworks, novels,
             movies, artists involved in the field…
          !! Cultural heritage " e.g. monuments, cities of
             interest, museums, etc.
          !! Science and technology " discoveries, inventions,
             famous scientists, animals, plants, etc.
          !! Something connected with your study interests (e.g.
             thesis " must be discussed)
     !!   Every topic must be agreed with us




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     The work | 1
77



     !!   Create a collection of 80 (or more) information
          items
          !! For each one, write down an abstract of
             approximately 100 words
          !! Classify the items according to at least 5 relevant
             facets
     !!   Design a proper visualization for the facets and the
          results (at least 2 different canvases)
     !!   “Special” works can be discussed (e.g.
          implementing a different kind of visualization)




     The work | 2
78




     !!   Implement a prototype:
          !! A Simile Exhibit/Solr application or similar tools
          !! A sequence of realistic mock-ups showing
             features
     !!   Write a report:
          !! 5-10 pages
          !! Describe the application, and a scenario of usage




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     The project
79



     !!   Choose a topic of your interest
     !!   Find information, create and organize a collection
          of information items
     !!   Design the application:
          !! The features (facets) used for the exploration
          !! The visualization of results

     !!   Delivery material: report + prototype (one week
          before the exam)




     So now what?
80


     !!   Start deciding the groups (max two people)
     !!   Communicate us:
          !!   The team members
          !!   The choice between Project A (1001stories narrative) vs. Project B (exploratory
               app)
          !!   The topic of your work (to be approved in both cases)
     !!   Each group should open a thread on the BEEP website forum (category
          “PROJECT GROUPS”)
          !! Write the title of the post as follows:
          [Project X] Surname01 - Surname02
          where X = A or B, e.g.
          [Project A] Di Blas – Spagnolo!
          [Project B] Smith – Rossi
          !! All further communications and delivery will be on that thread




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Visualization for exploratory interfaces

  • 1. !"#!$#%&' COMO CAMPUS Information visualization for exploratory interfaces Luigi Spagnolo luigi.spagnolo@polimi.it 1 Information and Communication Quality Why visualization? | 1 !! Highlighting/analysing/learning relationships in data !! Telling stories with data !! Informative and persuasive !! Fostering learning !! Goal: provide a simplified and emotional view of a domain !! Representation accuracy is secondary w.r.t. communicative impact %'
  • 2. !"#!$#%&' Why visualization? | 2 !! Visual data analysis !! Mainly informative !! Goal: provide a tool for visual data mining !! High precision is essential Why visualization? | 2 !! More in general… !! Understanding the domain and its vocabulary !! The features of information items in it !! How much these features are relevant (within the specific context of exploration " query) !! How these features are correlated &'
  • 3. !"#!$#%&' Informative vs Persuasive vs Visual art !! Informative !! The reader/viewer looks at the data to acquire knowledge !! Persuasive !! The designer uses data essentially to convey an intended message to the reader !! Visual art !! The designer “plays” with data just for the sake of art and aesthetics 6 http://www.thepaltrysapien.com/2011/06/art-in-the-age-of-interface/ visual-art-derived-from-altanta-airway-traffic-coded-by-type/ "'
  • 4. !"#!$#%&' Static vs dynamic | 1 !! Infographics: static and carefully designed to convey the intended message(s) and “tell a story with data” !! Often manually drawn (e.g. with software like Adobe Illustrator) !! Aesthetics is fundamental for emotional impact. !! Tailored to the specific data (and therefore nontrivial to recreate with different data). !! Relatively data-poor (because each piece of information must be manually encoded). 8 ('
  • 5. !"#!$#%&' Static vs dynamic | 2 !! Exploration: the message(s) emerge from interaction !! Also in a way that is not preplanned by designers " users discover “which is story the data tell them” !! Designed to be adaptive to different datasets (or updates of the same dataset) and different user queries !! Simpler visualization: must be rendered at runtime !! Complexity is in the interaction and in the amount of data shown !! High responsiveness is fundamental to support effective interaction (rich internet applications required) A brief recall | 1 10 !! Facet !! A property describing items features !! Facet vocabulary !! Possible values for the property !! Facet widget !! Feedback: Monitoring the distribution of items w.r.t. to the terms of a given property !! Selection: Adding (or replacing) terms (or disjunctions of multiple options or negated concepts) in AND $'
  • 6. !"#!$#%&' A brief recall | 2 11 !! Canvas !! Visualization (and analysis) of query results !! Possibly according to one or more dimensions (facets) at differents levels of granularity Contents of the lecture 12 !! Visualizing facets !! For facet widgets !! Univariate (monodimensional) visualizations !! Visualizing the set of results !! Lists,indexes and alike !! Multivariate (multidimensional) visualizations " show correlations between features !! Network visualizations " show relationships between items )'
  • 7. !"#!$#%&' Let’s see an example… 13 !! Policulture Portal !! http://hoc.elet.polimi.it/PoliculturaPortal/ !! A prototypal interface for exploring 1001stories narratives created by students within the PoliCultura contest for Italian schools !! Several facets: school level, discipline, words extracted from abstracts, etc. !! See also: ! http://www.museumsandtheweb.com/mw2012/papers/ policultura_portal_17000_students_tell_their_s 14 Visualizing facets *'
  • 8. !"#!$#%&' The elements of visualization | 1 15 !! A range of possible values for a property " facet vocabulary !! Strings of but also number, dates, complex concepts, etc. !! Possibly arranged into a hierarchy competition : 'Winner'! competition : 'Finalist'! competition : 'Competition' !! Possibly sorted according to a natural order schoolLevel : 'primary'! schoolLevel : 'junior'! schoolLevel : 'senior' The elements of visualization | 2 16 !! A measure of relevance for each term t !TF with respect to the context of the current query q !Q µ :TF ! Q " ! !! Possible measures Count: µ ( t,q ) = ext ( t and q ) ext ( t and q ) ext ( t and q ) Precision: µ ( t,q ) = Recall: µ ( t,q ) = ext ( q ) ext ( t ) +'
  • 9. !"#!$#%&' The elements of visualization | 3 17 !! A visualization strategy !! Mapping the measure of the term relevance to a graphical aspect !! E.g. length, width, areas, colors, angles, font size, etc. !! E.g. for a bar chart: µ ( t,q ) ! unit : unit of length (e.g. in pixels) ! ( t,q ) = ! unit where µ max,q µ max,q : max relevance value for query q Tag cloud 18 !! The relevance of a term is represented by the font size !! Proportional scaling !! The size of a term is directly proportional to its relevance measure !! Logarithmic scaling !! The size of a tag is proportional to the logarithm of it relevance !! Class-based sizing !! The size of a term can assume only some values !! Each possible size corresponds to a range of relevance measure values !! Each tag takes the size corresponding to the range in which its relevance measure falls ,'
  • 10. !"#!$#%&' Calculating the size of each tag 19 !! Proportional scaling !! The size of a tag is directly proportional to its magnitude !! Logarithmic scaling !! The size of a tag is proportional to the logarithm of it magnitude !! Class-based sizing !! The size of a tag can assume only some values !! Each possible size corresponds to a range of tag magnitudes !! Each tag takes the size corresponding to the range in which its magnitude falls Proportional scaling 20 !! The minimum and maximum tag size desired (given as parameter by the designer): ! min , ! max !! Finding the minimum (non-zero) and maximum term relevance: ( µ max,q = max µ ( ti ,q ) ) with µ ( ti ,q ) > 0 ti !T µ min,q = min ( µ ( t ,q )) i ti !T !! The formula for µ ti ,q > 0 ( ) where ( ! ( ti ,q ) = ! min + µ ( ti ,q ) " µ min ) #! #µ q !" = " max # " min !µ q = µ max,q # µ min.q %!'
  • 11. !"#!$#%&' Logarithmic scaling 21 !! Exactly the same formula, but with the logarithm (usually with base 10) of the term relevance: ! µ ( ti ,q ) = logµ ( ti ,q ) ( ) ! ! µ max,q = max µ ( ti ,q ) ! with µ ( ti ,q ) > 0 ti !T = min ( µ ( t ,q )) ! ! µ min,q i ti !T ( ! ! #! ! ( ti ) = ! min + µ ( ti .q ) " µ min ! #µ ) !" = " max # " min ˆ ˆ !$ = $ # $ ˆ max min Class-based scaling | 1 22 !! Again: ! min , ! max given ( µ max,q = max µ ( ti ,q ) ) calculated with µ ( ti ,q ) > 0 ti !T µ min,q = min ( µ ( t ,q )) i ti !T !! The desired number of sizes N (usually between 3 and 20) !! A ordered set of sizes ! = {! 0 , ! 1,…, ! N } !! And the corresponding ranges ! = {!0 , !1,…, ! N } !! A mapping {(! 0 , "0 ), (! 1, "1 ),…, (! k , !k ),…} based on the same index k %%'
  • 12. !"#!$#%&' Class-based scaling | 2 23 !! Each range is !k = [lk , hk ] µ max,q ! µ min,q !! ( Lower bound: lk = µ min,q + k ! 1 ) N µ max,q ! µ min,q !! Higher bound h = µ +k k min,q N An analogy… 24 !! A list of students !! Each student has her own mark between 18-30 !! Studenti = <namei, marki> !! We want to display the list such that the size of each name depends on how high is the mark !! We create 3 ranges: !max ! !min = 30 !18 = 12 !! 18-22, 22-26, 26-30 %&'
  • 13. !"#!$#%&' Class-based scaling | 3 25 !! Simple way !! we compute ranges in advance !! For each term, we check the range in which it falls !! Smarter way !! We just keep a mapping between the index k and the corresponding size ! k ( ) " µ ti ,q ! µ min,q % We just determine k = floor $ N !! ' # µ max,q ! µ min,q & An analogy | 2 26 !! E.g. for mark 21: # 21 "18 & # 3& k = floor % 3! ( = floor % 3! ( = floor ( 0.75) = 0 $ 30 "18 ' $ 12 ' !! E.g. for 25: # 25 "18 & # 7& k = floor % 3! ( = floor % 3! ( = floor (1.75) = 1 $ 30 "18 ' $ 12 ' !! E.g. for 29: # 29 "18 & # 11 & k = floor % 3! ( = floor % 3! ( = floor ( 2.75) = 2 $ 30 "18 ' $ 12 ' %"'
  • 14. !"#!$#%&' Which scaling function? | 1 27 !! Power law: in many cases the term measure (e.g. count) is proportional to a power of the number of terms having that relevance measure value !! Few tags have very high frequency !! Many tags have low frequency !! With proportional scaling: few tags are huge, many tags are very small !! Logarithmic scaling “adjusts” power laws distributions by “turning” them into linear… !! Smoother difference between tags Which scaling function? | 2 28 !! Class-based sizing: like a step (piece-wise) function !! Proportional scaling using sizes in pixels: !! Since each tag size must be an integer !! Proportional scaling is like class scaling with N = µ !µ max min !! Class-based sizing can have a logarithmic scaling too %('
  • 15. !"#!$#%&' Tag clouds: pro and cons 29 !! A tag cloud shows a “simplified” representation of the distribution of terms according to the facet !! Advantage: very immediate to convey basic facts (e.g. which concepts are more relevant) !! Disadvantage: Cannot analyse in more detail the quantities into account Other visualizations | 1 30 !! Bar charts and histograms !! Length of the bar proportional to the term relevance measure !! Possibly logarithmic scaling applied !! Allow for a more faithful representation " it is possible to compare relative length of bars !! Less immediate and “eye candy” %$'
  • 16. !"#!$#%&' Other visualizations | 2 31 !! Displaying the fraction of a feature with respect to the whole range !! Stacked bars !! Pie chart !! Lengths are easier to compare than angles !! But pie chart may be more “immediate” and engaging to convey a message Pie charts and 3D views 32 !! The 3D may distort too much the values %)'
  • 17. !"#!$#%&' The role of colors 33 !! Different colors can be used to represent categorical values !! If you want to convey numerical ordering between term, choose different shades rather than different colors !! E.g. states by population !! less populated " lighter shade !! more populated " darker shade The role of colors: bad example 34 %*'
  • 18. !"#!$#%&' The role of colors: better solution 35 36 Visualizing items %+'
  • 19. !"#!$#%&' Lists, indexes and alike | 1 37 !! Allow for access to specific items !! Items are represented as a “preview” !! E.g.thumbnail, snippet, etc. !! Some salient features are chosen by the designer and/or the user !! Sorting/grouping of items can be allowed Lists, indexes and alike | 2 38 %,'
  • 20. !"#!$#%&' Lists, indexes and alike | 3 39 Tubular/grid view Lists, indexes and alike | 4 40 Icons rather than text can help at a glance understanding &!'
  • 21. !"#!$#%&' Scatter plot 41 !! Classical statistical diagram !! Shows correlations between a feature on the x axis and a feature on the y axis !! For quantitative data !! Good impact only for “expert” user Aggregate views | 1 42 !! Focus on features shared by items and their correlation !! Access to specific item is secondary !! Items are grouped and aggregated according to two or more dimensions (at a certain level of granularity) !! Aggregation measures: count, average, min, max, etc. &%'
  • 22. !"#!$#%&' Aggregate views: matrix chart | 1 43 !! Two facets: one for rows and one for columns !! Each datapoint (pair of terms) is represented as a circle (or other shape), where… TX : Facet vocabulary for rows ( ) t x ,t y !TX " TY TY : Facet vocabulary for columns !! Thesize of the shape represents the number of items “belonging” to the data point: ( ) ( µ t x ,t y ,q = ext q and t x and t y ) Aggregate views: matrix chart 44 &&'
  • 23. !"#!$#%&' Aggregate views: matrix + pie chart 45 Aggregate views: mosaic plot | 1 46 !! A “mix” between stacked bars/columns and matrix plot !! Width and height of rectangles represent two different features !! The area of the rectangle shows how many items “belong” to the data point !! More than two dimensions are possible with additional splits (but becomes less clear) &"'
  • 24. !"#!$#%&' Aggregate views: mosaic plot | 2 47 !! Songs by: !! Theme (rows) !! Decade (columns) Aggregate views: mosaic plot | 3 48 !! Passengers by: !! Gender (1st horizontal split) !! Survived vs. deceas (2nd horiz. Split + color) !! Travel class (1st vertical split) !! Age (2nd vertical split) !! What you can learn from that? &('
  • 25. !"#!$#%&' Aggregate views: mosaic plot | 4 49 !! All male crew members died! !! Richest (1st class) women and children survived !! Poorest (2nd class) deceased mostly Pixel grid plot 50 !! Between a list/index and a mosaic plot… !! Each “pixel” or tassel represent an item !! One dimension is represented by color !! A second dimension may be represented by the tassel shape !! Aggregation is “at a glance” &$'
  • 26. !"#!$#%&' Network graphs | 1 51 !! Show relations between items as a graph where: !! Nodes are items !! Edges are shared features !! The edge can be “weighted” depending on how much a pair item have in common !! Weights may be represented by length thickness and/or by spatial distance Network graphs | 2 52 !! Nicoletta Di Blas co-authors on Microsoft Academic Search !! http:// academic.research.microsoft.co m/VisualExplorer#686102 &)'
  • 27. !"#!$#%&' 53 Visualizing geography Geographical information 54 !! Thematic maps visually represent one or more features on a geographical area !! Digital, interactive thematic maps !! Users can zoom and/or adjust visualization in some way !! Users can filter items !! More features at once: multivariate thematic map !! Different signs (shapes, colors, icons) can be used for showing more characteristics on the same map !! Avoid mixing shapes, colors and icons together: the result may be very messy! &*'
  • 28. !"#!$#%&' Dot map 55 !! Simplest thematic map !! One placemark = one item at its exact location (like in Google Maps), or !! One sign = k items in that area !! Different signs (shapes, colors, icons) can be used for showing more characteristics on the same map !! May be messy if many items are concentrated in a small area !! Expecially at low levels of zoom !! Expecially multivariate dot maps Dot map: nice interactive example 56 !! http://www.lemonde.fr/election-presidentielle-2012/visuel/2012/04/23/rapports-de- force-entre-les-candidats_1688324_1471069.html &+'
  • 29. !"#!$#%&' Graduated symbol map | 1 57 !! Also called Proportional symbol map !! The map is divided into areas #! (e.g. administrative areas) !! One sign for each area (single feature) !! One sign for each of N features in each area (multivariate) !! The size of the sign changes according to the number of items with feature X on area Y !! Proportial, linear, class scalings !! Multivariate version tends to be messy if you display too much values at one Graduated symbol map | 2 58 !! Advantages !! Statistical distribution on a certain area clearly showed !! (With respect to dot map) overlapping of signs avoided !! Disadvantages !! Multivariate version tends to be messy if you display too much values at once (e.g. facets with many distinct values) !! The scaling should be carefully chosen to avoid too huge or too small signs &,'
  • 30. !"#!$#%&' Pie chart map | 1 59 !! Similar to multivariate graduate symbol map !! The map is divided into areas #! (e.g. administrative areas) !! One circle (pie) for each area !! Each part is cut into slices !! The size of the slice is proportional to the number of items with feature X on area Y Pie chart map | 2 60 !! With respect to multivariate graduate symbol map… !! Advantages !! Less messy when you have to show a lot features at once !! Disadvntages !! Features with low frequency are less visible !! Analogously we could have histogram chart maps Information and Communication Quality | Multifaceted Classification and "!'
  • 31. !"#!$#%&' Choropleth map | 1 61 !! Using colors, shades or patterns !! The map is still divided into areas !! Each area is colored/patterned/ shaded according to the feature to show !! High communicative strengh, but… Information and Communication Quality | Multifaceted Classification and Choropleth map | 2 62 !! A single area may be colored/shaded/patterned according on mutually escusive values !! E.g. Regions that are governed by left vs. right parties !! Single-valued facets only "%'
  • 32. !"#!$#%&' Choropleth map | 3 63 !! The gradient of shade/color may be proportial to the frequency of a single feature !! E.g. number of earthquakes, population !! To show more features at ones you should overlap colors or patterns: too messy !! You need a map for each facet value 64 Visualizing time "&'
  • 33. !"#!$#%&' Timeline 65 !! Shows discribution of items in time !! Duration can be represented by a bar length !! Callout for item preview !! Two or more “resolutions” (unit of time) " detail vs. overall view Stacked area chart 66 !! Shows evolution of multiple (numeric) features over time !! Each feature is represented by the colored area !! Features are stacked !! The summation of features represents the whole ""'
  • 34. !"#!$#%&' Streamgraph 67 !! Evolution of trends (themes of discussion) over time: !! stacked area + tag cloud Designing exploratory applications !! Elicit requirements !! Decide relevant features !! Design effective visualization "('
  • 35. !"#!$#%&' 69 Designing explorations Requirements: users and stakeholders !! Identify users and their goals !! Expert vs novice !! Ontologies used !! Overall understanding vs detailed analysis !! Identify stakeholders goals towards users !! Identify related scenarios of usage "$'
  • 36. !"#!$#%&' Requirements: data and application !! Constraints on the type and quantity of information the designer can rely on !! Number of items and features to handlw !! Already existing sources (e.g. for information mash-ups) !! Efforts required for editing and classification #! E.g. classifiying ancient artifacts is quite difficult because experts disagree! !! Technical and application constraints !! Data formats and kind of devices !! Software architecture, responsiveness, latency (for web applications) !! Time-to-market Indentifying relevant features !! With respect to each kind of user, identify !! The information items they are interested in !! The relevant properties the user may be actually interested in !! If necessary, map existing data description to the required facets #! E.g. if you already have “birth-date” and you need “age”, you have to compute it #! E.g. convert currencies, unit of measures, etc. !! Also possibly map different classifications for different users ")'
  • 37. !"#!$#%&' Design visualization !! Evaluate each facet and consider !! Showing relative vs absolute relevance of terms !! Precise representation vs “at a glance” understanding and “emotive” impact !! Depending on: user interests, number and type of terms to display, distribution of properties !! Do the same for canvases !! Building a fast prototype with a sample of realistic data may be very helpful !! Help understanding how data “actually looks like” COMO CAMPUS Project B:! design and prototyping of an exploratory interface Luigi Spagnolo luigi.spagnolo@polimi.it 74 Information and Communication Quality "*'
  • 38. !"#!$#%&' The project 75 !! Choose a topic of your interest !! Find information, create and organize a collection of information items !! Design the application: !! The features (facets) used for the exploration !! The visualization of results !! Delivery material: report + prototype Topics 76 !! Suggested domains/information items !! Arts, cinema, literature, music " artworks, novels, movies, artists involved in the field… !! Cultural heritage " e.g. monuments, cities of interest, museums, etc. !! Science and technology " discoveries, inventions, famous scientists, animals, plants, etc. !! Something connected with your study interests (e.g. thesis " must be discussed) !! Every topic must be agreed with us "+'
  • 39. !"#!$#%&' The work | 1 77 !! Create a collection of 80 (or more) information items !! For each one, write down an abstract of approximately 100 words !! Classify the items according to at least 5 relevant facets !! Design a proper visualization for the facets and the results (at least 2 different canvases) !! “Special” works can be discussed (e.g. implementing a different kind of visualization) The work | 2 78 !! Implement a prototype: !! A Simile Exhibit/Solr application or similar tools !! A sequence of realistic mock-ups showing features !! Write a report: !! 5-10 pages !! Describe the application, and a scenario of usage ",'
  • 40. !"#!$#%&' The project 79 !! Choose a topic of your interest !! Find information, create and organize a collection of information items !! Design the application: !! The features (facets) used for the exploration !! The visualization of results !! Delivery material: report + prototype (one week before the exam) So now what? 80 !! Start deciding the groups (max two people) !! Communicate us: !! The team members !! The choice between Project A (1001stories narrative) vs. Project B (exploratory app) !! The topic of your work (to be approved in both cases) !! Each group should open a thread on the BEEP website forum (category “PROJECT GROUPS”) !! Write the title of the post as follows: [Project X] Surname01 - Surname02 where X = A or B, e.g. [Project A] Di Blas – Spagnolo! [Project B] Smith – Rossi !! All further communications and delivery will be on that thread (!'