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# Toward of a Theory of Modeling

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2012

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### Toward of a Theory of Modeling

1. 1. Toward a theory of modeling
2. 2. Which kind of Models?? • There are different understanding of the term Model in different disciplines
3. 3. Modeling Application-Domain specific level Technical level Abstract level
4. 4. Modeling Problems Abstract Level Definition-1: A model M ={ G, F, R} G= goal(s) for modeling F=Candidate (observable or controllable)features or properties from the real system R= Possible Relations between elements of F Assumption: We observe and construct objects based on properties. Application-Domain specific level Technical level Abstract level
5. 5. Modeling Problems Abstract Level Definition-1: A model M ={ G, F, R} G= goal(s) for modeling F=Candidate (observable or controllable)features or properties from the real system R= Possible Relations between elements of F Assumption: We observe and construct objects based on properties. Definition-2: A dynamic model M is a model, with varying element(s). Definition-3: Model Complexity: ??? Definition-4: Model sufficiency:??? Definition-5: Model accuracy:??? Definition-6: Model validation and model-ability measure :??? Definition-6: Model ??? • Selection of a model should be based on the above mentioned measures from definition 2, onwards So in the next level, we will possibly have several classes of technical modeling problems and modeling approachesbased on different combinations of these elements Application-Domain specific level Technical level Abstract level
6. 6. Modeling Problems Technical Level Application-Domain specific level Technical level Abstract level Clustering Possible Technical Modeling Problems, based on different goals.
7. 7. Modeling Problems Technical Level Application-Domain specific level Technical level Abstract level Possible Technical Modeling Problems, based on different goals.
8. 8. Modeling Problems Application-Domain specific leve Technical level Abstract level Then, Application-Domain Specific problems can be considered as a combination of one or more categories of technical problems. Building Management System Design Optimization A few examples
9. 9. Modeling approaches (How we approach the problems?) • Linearity Vs. Non-linearity • Specific Vs. Pre-specific (explicit models vs. environment for possible/probable explicit models) • Model separate than Real phenomenon vs. Model as a Part of the real system. (e.g. simulated agents or real connected actors)
10. 10. Modeling (virtual reality) So Far, …Modeling as a separate Reality Reality Analysis Synthesis Optimization & Design
11. 11. It is the Story of Elephant in the Dark RoomWhich Model is the best? (e.g. : which approach is better for modeling urban environment?) Single Disciplinary Methods. (e.g. Analytical) Multidisciplinary and Interdisciplinary models (Stocks and Flows, Urban Metabolism)
12. 12. Model as a part of Reality Modeling Reality • We can’t Model the elephant. Since the elephant, itself is evolving!! • We no longer model Agents explicitly. We let them play. • To Provide an environment for real agents instead of simulated agents! • And this is happening with emerging technologies in ICT: e.g. Crowd sourcing, Pervasive Data Collection, Eigen-Behavior Monitoring,… Model is a part of the everyday life. We just collect Data through social Media We Process data to find evolving patterns, vs, rigid Categories. We inform stakeholders And they will evolve themselves.
13. 13. Model as a part of Reality Modeling Reality And the main Elements will be: Coding, Communication and Data Modeling. Network Theory Data Processing and Modeling Algebra Associative Networks (SOM) Structured DBs Un-Structured DBs (Text, Audio, Video, Image,…) What we need is Mathematics as the art of learning :
14. 14. So, What next? • Developing a Formalized Mathematical model for “modeling” to – Be able to categorize the real world problems, based on modeling point of view – Advise about model complexity, model-ability,… • Developing a practical toolbox for modeling based on the categories in the technical level.
15. 15. Some points • We are no-longer dependent to classic academic disciplines, since we have a new cut!? • Theory-Driven Vs. Data Driven Modeling