I'm not a huge fan of the chart as it looks pretty 2014 dated. SVMs are rarely used anymore, so perhaps if you replaced all of them (including in the regression part) with gbm. Didn't notice any mention of logistic regression, which I still heavily use as well.

dimentionality reduction is part of any step, which depends on number of observations, features, and model. my favorite is l1 or pca, but I am not afraid to use stepwise regression or some tree method.