[[PageOutline]] = Additional Material for Publications = This page contains a collection of additional material related to publications of members of the research group HEAL. == 2010 == === Dissertation Kronberger === The following datasets are used in experiments in the thesis. ==== Artificial benchmark datasets ==== ===== Friedman-I ===== [export:/misc/publications/2010/theses/gkronber/friedman-I.csv friedman-I.csv] This dataset is described in (Friedman, 1991), where it is used to benchmark the multi-variate adaptive regression splines (MARS) algorithm. The signal-to-noise ratio in this dataset is rather low, so it is difficult to rediscover the generating function f(x) especially the terms below the noise level (x4 and x5). [[Image(friedman-I.png)]] Variables x01,..., x10 are sampled uniformly from the unit hypercube (x~U(0,1)). Epsilon is generated from the standard normal distribution (e~N(0,1)). ===== Friedman-II ===== [export:/misc/publications/2010/theses/gkronber/friedman-II.csv friedman-II.csv] ===== Breiman-I ===== [export:/misc/publications/2010/theses/gkronber/breiman-I.csv breiman-I.csv] This dataset is described in (Breiman et al., 1984), where it is used to benchmark the classification and regression trees (CART) algorithm. The signal-to-noise ratio is rather low and additionally it contains a crisp conditional which makes it rather difficult to rediscover the generating function with a symbolic regression approach. [[Image(breiman-I.png)]] Epsilon is generated from the normal distribution (e~N(0,2)). Variables x01,..., x10 are randomly sampled attributes following the probability distributions: [[Image(breiman-I-variables.png)]] ==== Real-world datasets ==== ===== Chemical-I ===== [export:/misc/publications/2010/theses/gkronber/chemical-I.csv chemical-I.csv] ===== Chemical-II ===== [export:/misc/publications/2010/theses/gkronber/chemical-II.csv chemical-II.csv] ===== Financial-I ===== [export:/misc/publications/2010/theses/gkronber/financial-I.csv financial-I.csv] ===== Macro-Economic ===== [export:/misc/publications/2010/theses/gkronber/macro-economic.csv macro-economic.csv] ===== Housing ===== [export:/misc/publications/2010/theses/gkronber/housing.csv housing.csv] ==== References ==== Friedman, 1991:: Jerome H. Friedman, Multivariate adaptive regression splines, ''The Annals of Statistics'', 19(1):1-141, 1991. Breiman et al., 1984:: Leo Breiman, Jerome H. Friedman, Charles J. Stone and R. A. Olson, ''Classification and Regression Trees'', Chapman and Hall, 1984 == 2011 ==