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Subjects on Objects in Contexts:
Using GICA method to quantify
  epistemological subjectivity
    Timo Honkela1, Juha Raitio1, Krista Lagus1,
 Ilari T. Nieminen1, Nina Honkela2, Mika Pantzar3
                           1
                            Aalto University
                    (former Helsinki University of Technology)
Department of Information and Computer Science
 (former Neural Networks Research Center, Adaptive Informatics Research Center)
                     2
                       University of Helsinki
        3
         National Consumer Research Center
                                  Finland
Subjects on Objects in Contexts:
Using GICA method to quantify
  epistemological subjectivity

Timo Honkela    Juha Raitio   Krista Lagus




Ilari T. Nieminen Nina Honkela Mika Pantzar
Traditional representation of meaning:
Generalized (non-contextual, non-subjective)




   Gaines: “Designing Visual Languages for Description Logics”
        http://pages.cpsc.ucalgary.ca/~gaines/reports/KBS/VLL/
Meaning is contextual


     red wine
     red skin
     red shirt


Gärdenfors: Conceptual Spaces
Hardin Color for Philosophers
Meaning is contextual


WHITE




SNOW -
WHITE?
Meaning is contextual
●   “Small”, “big”
●   “White house”
●   “Get”
●   “Every” - “Every Swede is tall/blond”
●   etc. etc.
Learning meaning from context
●   Self-Organizing Semantic Maps
    (Ritter & Kohonen 1989)
●   Latent Semantic Analysis
●   Latent Dirichlet Allocation
●   WordICA
●   etc. etc.



                 Honkela, Pulkki & Kohonen 1995
Learning meaning from context:
Maps of words in Grimm fairy tales




       Honkela, Pulkki & Kohonen 1995
Meaning is subjective
Meaning is subjective
●   Good
●   Fair
●   Useful
                       A proper theory of
●   Scientific         meaning has to take
●   Democratic         this into account.
●   Sustainable        (opposite to the view
                        given by V. Cherkassky
●   etc.                about an hour ago)
Modeling variation of
   meaning in a community of agents
Honkela: ICANN 1993

Steels, Kaplan, Vogt, et al.:
Language games




                                (Lindh-Knuutila, Lagus & Honkela, SAB'06)
                                Related to e.g. Steels and Vogt on language games
Intersubjective Concept Spaces

concept       symbol                   concept         symbol
                           (shared)
 space         space                    space           space
                            context
  C1             S1                      C2               S2



                        observations




                           signal
          Sender              d        Receiver    (Honkela, Könönen,
          (agent 1)                    (agent 2)   Lindh-Knuutila &
                                                   Paukkeri 2008)
Intersubjective Concept Spaces
                          (Honkela, Könönen, Lindh-Knuutila & Paukkeri 2008)



Ci: N­dimensional             ξ: si ∈ Si → C
metric concept                An individual 
space                         mapping function 
                              from symbols to 
                              concepts                            Observing f1 and after symbol 
S: symbol space,
                                                                  selection process, agent 1 
The vocabulary of an
                              φi: Si → D                          communicates a symbol s*
agent that consists of 
                              An individual                       to agent 2 as signal d.  When agent 
discrete symbols
                              mapping from agent                  2 observes d, it maps it  to some 
                              i's vocabulary to the               s2 ∈ S2  by using the function φ ­11.  
λ : Ci × Cj → R, i ≠ j        signal space D and                   Then it maps the symbol to some 
A distance between            an inverse mapping                  point in its concept space by using 
two points in the             φ­1 i from the signal               ξ2.  If this point is close to its 
concept spaces of             space to the symbol                 observation f2 in the sense of λ, 
different agents              space                               the communication process has 
                                                                  succeeded.
Gary B. Fogel
11th of June, 2012
   WCCI 2012
GICA:
        Grounded
     Intersubjective
        Concept
         Analysis

Description of the method
Subjectifying: adding subjective
views into object-context matrices




Outcome: Subject-Object-Context (SOC) Tensors
More on subjectification
●   A central question in GICA is how to obtain the
    data on subjectivity for expanding an object-
    context matrix into the tensor that accounts
    additionally for subjectivity.
●   The basic idea is that for each element in the
    object-context matrix one needs several
    subjective evaluations.
●   Specifically, the GICA data collection measures
    for each subject si the relevance xijk of
    an object oj in a context ck
Potential sources for subjectification
●   Conceptual surveys:
    ●   individual assessment of contextual
        appropriateness
●   Text mining:
    ●   statistics of word/phrase-context patterns
●   Empirical psychology:
    ●   reaction times, etc.
●   Brain research
Flattening: unfolding 3-way tensor
   for traditional 2-way analysis
GICA:
   Grounded
Intersubjective
   Concept
    Analysis

Examples of use
Case 1: Wellbeing concepts

●   A conceptual survey was conducted among the
    participants of the EIT ICT Labs activity “Wellbeing
    Innovation Camp” that took place between 26th and
    29th of October 2010 in Vierumäki, Finland.
●   The participants were asked to fill in a data matrix
    that consisted of the objects as rows and the
    contexts as columns.
●   Each individual’s task was to determine how
    strongly an object is associated with a context, using
    Likert scale from 1 to 5
Data collection
                     CONTEXTS:
OBJECTS:

Relaxation
Happiness
Fitness
Wellbeing


SUBJECTS:

Event participants
MDS: Objects x Subjects
                      Fitness
NeRV: Objects x Subjects


                                                                                    Fitness




NeRV:
J. Venna, J. Peltonen, K. Nybo, H. Aidos, and S. Kaski. Information Retrieval Perspective to Nonlinear
Dimensionality Reduction for Data Visualization. Journal of Machine Learning Research, 11:451-490, 2010.
SOM: Objects x Subjects
SOM: Distribution of contexts
SOM: Contexts
Case 2: State of the Union
                 Addresses
●   In this case, text mining is used for populating
    the Subject-Object-Context tensor
●   This took place by calculating the frequencies
    on how often a subject uses an object word in
    the context of a context word
    ●   Context window of 30 words
SOM: Subjects (presidents)
SOM: Objects x Subjects
Analysis of the word 'health'
Related research and
    future plans
Our related research on subjectivity:
User-specific difficulty assessment




                           Paukkeri, Ollikainen &
                           Honkela, Information
                           Processing & Management,
                           2012
Interoperability
●   Current situation:

    Formalization and harmonization of knowledge
    representations (e.g. using XML)

●   Future possibility:

    Meaning negotiation between systems
    based on SOC tensors and further
    developments
                          Context data is important!
Enhanced communication, democratic and
        participatory processes
Collaboration opportunities
●   Theoretical work
    ●   Interdisciplinary: brain research, psychology,
        sociology, organization research, etc.
    ●   Methodological
        –   Formulation in different theoretical frameworks
        –   Analogical development with crisp>fuzzy:
            “objective”>subjective
●   Experimental
    ●   Case studies
●   Research visits, tutorials, workshops
●   GICA workshop/summer school in 2013 in Finland

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Timo Honkela: Subjects on objects in contexts: Using GICA method to quantify epistemological subjectivity

  • 1. Subjects on Objects in Contexts: Using GICA method to quantify epistemological subjectivity Timo Honkela1, Juha Raitio1, Krista Lagus1, Ilari T. Nieminen1, Nina Honkela2, Mika Pantzar3 1 Aalto University (former Helsinki University of Technology) Department of Information and Computer Science (former Neural Networks Research Center, Adaptive Informatics Research Center) 2 University of Helsinki 3 National Consumer Research Center Finland
  • 2. Subjects on Objects in Contexts: Using GICA method to quantify epistemological subjectivity Timo Honkela Juha Raitio Krista Lagus Ilari T. Nieminen Nina Honkela Mika Pantzar
  • 3. Traditional representation of meaning: Generalized (non-contextual, non-subjective) Gaines: “Designing Visual Languages for Description Logics” http://pages.cpsc.ucalgary.ca/~gaines/reports/KBS/VLL/
  • 4. Meaning is contextual red wine red skin red shirt Gärdenfors: Conceptual Spaces Hardin Color for Philosophers
  • 6. Meaning is contextual ● “Small”, “big” ● “White house” ● “Get” ● “Every” - “Every Swede is tall/blond” ● etc. etc.
  • 7. Learning meaning from context ● Self-Organizing Semantic Maps (Ritter & Kohonen 1989) ● Latent Semantic Analysis ● Latent Dirichlet Allocation ● WordICA ● etc. etc. Honkela, Pulkki & Kohonen 1995
  • 8. Learning meaning from context: Maps of words in Grimm fairy tales Honkela, Pulkki & Kohonen 1995
  • 10. Meaning is subjective ● Good ● Fair ● Useful A proper theory of ● Scientific meaning has to take ● Democratic this into account. ● Sustainable (opposite to the view given by V. Cherkassky ● etc. about an hour ago)
  • 11. Modeling variation of meaning in a community of agents Honkela: ICANN 1993 Steels, Kaplan, Vogt, et al.: Language games (Lindh-Knuutila, Lagus & Honkela, SAB'06) Related to e.g. Steels and Vogt on language games
  • 12. Intersubjective Concept Spaces concept symbol concept symbol (shared) space space space space context C1 S1 C2 S2  observations signal Sender d Receiver (Honkela, Könönen, (agent 1) (agent 2) Lindh-Knuutila & Paukkeri 2008)
  • 13. Intersubjective Concept Spaces (Honkela, Könönen, Lindh-Knuutila & Paukkeri 2008) Ci: N­dimensional  ξ: si ∈ Si → C metric concept  An individual  space  mapping function  from symbols to  concepts Observing f1 and after symbol  S: symbol space, selection process, agent 1  The vocabulary of an φi: Si → D communicates a symbol s* agent that consists of  An individual  to agent 2 as signal d.  When agent  discrete symbols mapping from agent  2 observes d, it maps it  to some  i's vocabulary to the  s2 ∈ S2  by using the function φ ­11.   λ : Ci × Cj → R, i ≠ j signal space D and  Then it maps the symbol to some  A distance between  an inverse mapping point in its concept space by using  two points in the  φ­1 i from the signal  ξ2.  If this point is close to its  concept spaces of  space to the symbol  observation f2 in the sense of λ,  different agents space the communication process has  succeeded.
  • 14. Gary B. Fogel 11th of June, 2012 WCCI 2012
  • 15. GICA: Grounded Intersubjective Concept Analysis Description of the method
  • 16. Subjectifying: adding subjective views into object-context matrices Outcome: Subject-Object-Context (SOC) Tensors
  • 17. More on subjectification ● A central question in GICA is how to obtain the data on subjectivity for expanding an object- context matrix into the tensor that accounts additionally for subjectivity. ● The basic idea is that for each element in the object-context matrix one needs several subjective evaluations. ● Specifically, the GICA data collection measures for each subject si the relevance xijk of an object oj in a context ck
  • 18. Potential sources for subjectification ● Conceptual surveys: ● individual assessment of contextual appropriateness ● Text mining: ● statistics of word/phrase-context patterns ● Empirical psychology: ● reaction times, etc. ● Brain research
  • 19. Flattening: unfolding 3-way tensor for traditional 2-way analysis
  • 20. GICA: Grounded Intersubjective Concept Analysis Examples of use
  • 21. Case 1: Wellbeing concepts ● A conceptual survey was conducted among the participants of the EIT ICT Labs activity “Wellbeing Innovation Camp” that took place between 26th and 29th of October 2010 in Vierumäki, Finland. ● The participants were asked to fill in a data matrix that consisted of the objects as rows and the contexts as columns. ● Each individual’s task was to determine how strongly an object is associated with a context, using Likert scale from 1 to 5
  • 22. Data collection CONTEXTS: OBJECTS: Relaxation Happiness Fitness Wellbeing SUBJECTS: Event participants
  • 23. MDS: Objects x Subjects Fitness
  • 24. NeRV: Objects x Subjects Fitness NeRV: J. Venna, J. Peltonen, K. Nybo, H. Aidos, and S. Kaski. Information Retrieval Perspective to Nonlinear Dimensionality Reduction for Data Visualization. Journal of Machine Learning Research, 11:451-490, 2010.
  • 25. SOM: Objects x Subjects
  • 28. Case 2: State of the Union Addresses ● In this case, text mining is used for populating the Subject-Object-Context tensor ● This took place by calculating the frequencies on how often a subject uses an object word in the context of a context word ● Context window of 30 words
  • 30. SOM: Objects x Subjects
  • 31. Analysis of the word 'health'
  • 32. Related research and future plans
  • 33. Our related research on subjectivity: User-specific difficulty assessment Paukkeri, Ollikainen & Honkela, Information Processing & Management, 2012
  • 34. Interoperability ● Current situation: Formalization and harmonization of knowledge representations (e.g. using XML) ● Future possibility: Meaning negotiation between systems based on SOC tensors and further developments Context data is important!
  • 35. Enhanced communication, democratic and participatory processes
  • 36. Collaboration opportunities ● Theoretical work ● Interdisciplinary: brain research, psychology, sociology, organization research, etc. ● Methodological – Formulation in different theoretical frameworks – Analogical development with crisp>fuzzy: “objective”>subjective ● Experimental ● Case studies ● Research visits, tutorials, workshops ● GICA workshop/summer school in 2013 in Finland