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Positive Correlation: means that if feature A increases then feature B also increases or if feature A decreases then feature B also decreases. Both features move in tandem and they have a linear relationship. Negative Correlation: means that if feature A increases then feature B decreases and vice versa.
Does Multicollinearity affect random forests?
Random Forest uses bootstrap sampling and feature sampling, i.e row sampling and column sampling. Therefore Random Forest is not affected by multicollinearity that much since it is picking different set of features for different models and of course every model sees a different set of data points.
The short answer is no. It does not affect prediction accuracy. Multicollinearity does not affect the accuracy of predictive models, including regression models. The features in the x and y axis are clearly correlated; however, you need both of them to create an accurate classifier.
Does correlation matter in random forest?
Correlated features will be given equal or similar importance, but overall reduced importance compared to the same tree built without correlated counterparts. Random Forests and decision trees, in general, give preference to features with high cardinality ( Trees are biased to these type of variables ).
The potential solutions include the following:
- Remove some of the highly correlated independent variables.
- Linearly combine the independent variables, such as adding them together.
- Perform an analysis designed for highly correlated variables, such as principal components analysis or partial least squares regression.
What to do about highly correlated variables in random forest?
You may try to increase mtry, to make sure this happens more often. You may try either recursive correlation pruning, that is in turns to remove one of two variables whom together have the highest correlation. A sensible threshold to stop this pruning could be that any pair of correlations (pearson) is lower than R 2 < .7
When the dataset has two (or more) correlated features, then from the point of view of the model, any of these correlated features can be used as the predictor, with no concrete preference of one over the others.
When do random sampling variables, will most of the trees grow on information a?
When random sampling variables, will most of the trees grow on information A, and as a result information B is not fully captured? That is correct, but therefore in most of those sub-samplings where variable Y was available it would produce the best possible split. You may try to increase mtry, to make sure this happens more often.
When to stop recursive correlation pruning in random forest?
You may try to increase mtry, to make sure this happens more often. You may try either recursive correlation pruning, that is in turns to remove one of two variables whom together have the highest correlation. A sensible threshold to stop this pruning could be that any pair of correlations (pearson) is lower than