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Consistency controlled future generating models Mapping Time and Space for checking environmental consistencies with COCO methodology. Pitlik, Pető , Pásztor, Popovics, Bunkóczi , Szűcs University Gödöllő, Hungary. Introduction.
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Consistency controlled future generating models Mapping Time and Space for checking environmental consistencies with COCO methodology Pitlik, Pető , Pásztor, Popovics, Bunkóczi, Szűcs University Gödöllő, Hungary Supported by the Hungarian Research Found (OTKA T049013)
Introduction • Model fitting is not always ensured with enough care: error min. ≠ model consistency. • The processes (objects) in scope of each modelling are happening in Space and in Time. • Hypothesis: the built up models authenticity may be examined by the consistency of the attributes of the time and/or space connected objects. • Methodological background – Similarity analysis: COCO methodology (Component based Object Consistency for Objectivity) Supported by the Hungarian Research Found (OTKA T049013)
COCO methodology I. • comparing n objects on the base of their m common attributes (as inputs) and one output (e.g. price or time, space) • ranking on the base of the attributes – specifying the rank values for each starting value for each attributes • Ordering (through Excel Solver) „COCO-parameter” for each rank value Supported by the Hungarian Research Found (OTKA T049013)
COCO methodology II. • Constraint in case of all attribute, that the below COCO value may get only lower or equal value than the upper one • Collecting COCO values for each objects • Connecting the COCO values with arbitrary function and giving a „summarising” value to each object as an estimation • Moving these COCO values by Excel Solver to get their direct or transformed values to the most close to the real Y values. • Difference minimisation principles: e.g. quadratic error (for price analysis) or Pearson coefficient (for modelling of space and time). Supported by the Hungarian Research Found (OTKA T049013)
Introducing the topics • Time: Describing dynamic (in time happening) phenomena with it`s characteristic attributes – possibility of intra- and extrapolation – the Time is the Y (case study: meteorology) • Space: Describing the situations of objects located in space with their characteristic attributes - the direction in flat is the Y (case study with random values) Supported by the Hungarian Research Found (OTKA T049013)
The time • Describing the time in general • http://miau.gau.hu/miau/82/time-space_coco.xls • Describing the time according to meteorological attributes • http://miau.gau.hu/miau/83/coco_meteorologia.xls Supported by the Hungarian Research Found (OTKA T049013)
The space • Describing the space in general • http://miau.gau.hu/miau/82/time-space_coco.xls • Possible test (…coming soon…): examination of the data involved in METAR telegrams for one given moment and for about 100km*100 km size area`s measure points Supported by the Hungarian Research Found (OTKA T049013)
Inner values • The importance of attributes – the average of COCO values • The homogeneity of attributes – standard deviation of the COCO values • Ranking algorithm are responsible for the length of the potential forecasting • The error definition makes strong influence for the sum of errors Supported by the Hungarian Research Found (OTKA T049013)
Application possibilities for COCO • Benchmarking - Ranking - Learning • Objective utility analysis (price/cost comparing, country/employee-ranking, automated SWOT analysis) • Forecasting (e.g. stock change of animals) • Checking authenticity of experts/models (checking possible status-variations of future = consistency) Supported by the Hungarian Research Found (OTKA T049013)
Outlook • Further case studies are needed for testing the fine tuning and generic aspects of the method (e.g. optimum of forecasting potential, solving linearity originating from ranking) • Possible further applications for testing of the potential through this methodology: • examining meteorological data connected to different locations but to the same moment • model selection for forecasting by stock change of pigs • Your modelling approach? Supported by the Hungarian Research Found (OTKA T049013)
The research is supplied by OTKA T-049013 … For further details Thanks for Your attention! Supported by the Hungarian Research Found (OTKA T049013)