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Challenges for IOCS:. Multiscale processes Limitations of models Validation. Alex Ryan DSTO. Levels, Scale, Scope, Resolution. Level of a hierarchy Level of description Scale of effect Time scale Scope of observation Resolution of observation. Hierarchy.
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Challenges for IOCS: • Multiscale processes • Limitations of models • Validation Alex Ryan DSTO
Levels, Scale, Scope, Resolution Level of a hierarchy Level of description Scale of effect Time scale Scope of observation Resolution of observation
Hierarchy Partially ordered set (by control) Levels screened off from each other by rate differences Time 0.1s 1s 10s 100s
Cross-scale effect Multi-Level and Multi-Scale Analysis scales levels Cross-level effect
Separation of Time Scales • Average over fast processes • Fix constant slow processes • Analyse the dynamics at focal level Dynamics
- - - 100x 10x 10x Pattern Vs Scope & Resolution
The Limitations of Models “In chemistry and physics and other natural sciences the object of experiment is to fill in the actual values of the various quantities and factors appearing in an equation or a formula; and the work when done is once and for all. In economics that is not the case, and to convert a model into a quantitative formula is to destroy its usefulness as an instrument of thought. . .” John Maynard Keynes
The Limitations of Models • Cross scale effects imply that a model at any one scale is incomplete • Models never capture true novelty except in retrospect • Quantifying subjective, soft and data-poor processes can be dangerous
The Necessity of Models “Having experienced the confusion that tends to arise whenever we try to relate cerebral mechanisms to observed behavior, I made it my aim to accept nothing that could not be stated in mathematical form, for only this language can one be sure, during one's progress, that one is not unconsciously changing the meaning of terms, or adding assumptions, or otherwise drifting towards confusion” W. Ross Ashby
The Necessity of Models • To not model explicitly is to rely on a trivial model • An explicit model is often usefully wrong • Complex systems is founded on the model-based approach, but focussed on their assumptions and limitations
Validation • The “dark secret” in the {ABM, SD, ANN, GA, …} closet • We need to think differently about validation • Validate individual behaviour not aggregates • Can’t validate in isolation to real world experimentation in context