Figure - available via license: Creative Commons Attribution 4.0 International
Content may be subject to copyright.
Distribution of the average bias and corresponding ranks per problem, broken down by noise level σ. The left value in each cell is the median, the right value the interquartile range. The right column are the values outlined in Figures 5 and 6.
Source publication
Symbolic regression is commonly used in domains where both high accuracy and interpretability of models is required. While symbolic regression is capable to produce highly accurate models, small changes in the training data might cause highly dissimilar solution. The implications in practice are huge, as interpretability as key-selling feature degr...
Contexts in source publication
Context 1
... both properties do not behave the same across all algorithms. The bias of AIFeynman increases from no bias at all to the highest bias of all algorithms with increasing noise level, as Table 4 shows. For other algorithms, the median bias as well as the median variance increase across all algorithms with the median error. ...Context 2
... the restricted search space of both algorithms, this appears plausible. Tables 4 and 5 show a rank-wise comparison of bias and variance. Operon and GP-GOMEA provide the smallest bias without significant differences according to the pairwise p-values and significance values in Table 6. ...Context 3
... and GP-GOMEA provide the smallest bias without significant differences according to the pairwise p-values and significance values in Table 6. Table 4 shows that the distribution of bias values for AIFeynman is distored by its very high bias at high noise levels. Multiple algorithms are on the same level regarding variance. ...Context 4
... 7 shows that algorithms with larger models tend to lower bias, which is expected. An outlier is again AIFeynman with low bias only at low noise levels, which results in an overall low median bias as shown in Table 4. In contrary to the clear connections in bias, Figure 8 does not show a clear connection between model size and variance over all algorithms. ...Similar publications
The discipline of silviculture is rapidly developing, based on stand structures or ecosystems, in which stands are managed according to species and structures. The objective of this study is to characterize the growth of cork oak dendrometric variables, and to determine and compare the different crown parameters and their effects on natural regener...
