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Changes between Version 5 and Version 6 of AdditionalMaterial/ECML-PKDD


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Timestamp:
06/28/12 12:45:13 (12 years ago)
Author:
gkronber
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  • AdditionalMaterial/ECML-PKDD

    v5 v6  
    1919== Identification of Non-Linear Models ==
    2020As a preparation for symbolic regression a number of parameters have to be configured. A very important parameter is the grammar that restricts the possible shapes of evolved models and defines the basic building blocks for symbolic regression models (function set).
    21 [[Image(grammar.png, with=300)]]
     21
     22[[Image(grammar.png, width=600)]]
    2223
    2324Other important parameters are the error function that should be minimized (e.g. mean of squared errors, mean of absolute errors, Pearson's R², ...), and the maximal size of the models. Additionally the parameters of the underlying evolutionary algorithm like population size, mutation rate, and number of iterations can be configured.
    2425
    2526The following equation shows a non-linear model for the tower data set as identified by symbolic regression in HeuristicLab.
    26 [[Image(model_math.png, with=300)]]
     27
     28[[Image(model_math.png, width=600)]]
    2729
    2830In HeuristicLab a number of different charts and error metrics are available directly in the GUI for each produced solutions. All results are updated dynamically while the algorithm is running.
    29 [[Image(screenshots.png, with=300)]]
     31
     32[[Image(screenshots.png, width=600)]]
    3033
    3134== Identification of Relevant Variables ==
    3235Frequently it is not necessary to learn a full model of the functional relationship but instead only find a set of relevant variables for the process. This can be achieved easily with HeuristicLab through analysis of relative variable frequencies in the population of models. The following Figure shows a variable frequency chart that clearly shows the six most relevant variables. Notably, the relevance of variables is determined based on non-linear models. So, non-linear influence factors and pair-wise interacting factors can be identified as well. 
    3336
    34 [[Image(relevantvariables_small.png, with=300)]]
     37[[Image(relevantvariables_small.png, width=600)]]
    3538
    3639== Simplification of Models with Visual Hints ==