NEW 2 Tutorial COMPSTAT-1

Symbolic Data AnalysisOf Complex Data: several directions of researchEdwin Diday CEREMADE Paris Dauphine University1OUTLINE• What are Complex data?• What are “symbolic data”?• How “Symbolic Data” are build?• Symbolic Data are Complex data? • From Complex Data to Symbolic Data• What is “Symbolic Data Analysis” (SDA)?• Open directions of research • Conclusion: SDA gives a framework for Complex Data Analysis (CDA)2OUTLINE• What are Complex data?• What are “symbolic data”?• How “Symbolic Data” are build?• Symbolic Data are Complex data? • From Complex Data to Symbolic Data• What is “Symbolic Data Analysis” (SDA)?• Open directions of research • SDA gives a framework for Complex Data Analysis (CDA)3What are Complex data?Any data which cannot be considered as a standard “observations x variables” data table.Examples• several data tables describing different kind of observations.• Hierarchical Data• Textual Data in each cell of the data table• Time series Data in each cell .4OUTLINE• What are Complex data?• What are “symbolic data”?• How “Symbolic Data” are build?• Symbolic Data are Complex data? • From Complex Data to Symbolic Data• What is “Symbolic Data Analysis” (SDA)?• Open directions of research • SDA gives a framework for Complex Data Analysis (CDA)5What are “symbolic data”?Any data taking care on the variationinside classes of standard observation.• each cell of the data table can contain:• A number, a category, an ...