Does this generalize to any loss function? For example I also want to
implement Kendall's tau correlation coefficient and a combination of R, tau
and RMSE. :)

On Mar 1, 2018 15:49, "Sebastian Raschka" <se.rasc...@gmail.com> wrote:

> Hi, Thomas,
>
> as far as I know, it's all the same and doesn't matter, and you would get
> the same splits, since R^2 is just a rescaled MSE.
>
> Best,
> Sebastian
>
> > On Mar 1, 2018, at 9:39 AM, Thomas Evangelidis <teva...@gmail.com>
> wrote:
> >
> > Hi Sebastian,
> >
> > Going back to Pearson's R loss function, does this imply that I must add
> an abstract "init2" method to RegressionCriterion (that's where MSE class
> inherits from) where I will add the target values X as extra argument? And
> then the node impurity will be 1-R (the lowest the best)? What about the
> impurities of the left and right split? In MSE class they are (sum_i^n
> y_i)**2 where n is the number of samples in the respective split. It is not
> clear how this is related to variance in order to adapt it for my purpose.
> >
> > Best,
> > Thomas
> >
> >
> > On Mar 1, 2018 14:56, "Sebastian Raschka" <se.rasc...@gmail.com> wrote:
> > Hi, Thomas,
> >
> > in regression trees, minimizing the variance among the target values is
> equivalent to minimizing the MSE between targets and predicted values. This
> is also called variance reduction: https://en.wikipedia.org/wiki/
> Decision_tree_learning#Variance_reduction
> >
> > Best,
> > Sebastian
> >
> > > On Mar 1, 2018, at 8:27 AM, Thomas Evangelidis <teva...@gmail.com>
> wrote:
> > >
> > >
> > > Hi again,
> > >
> > > I am currently revisiting this problem after familiarizing myself with
> Cython and Scikit-Learn's code and I have a very important query:
> > >
> > > Looking at the class MSE(RegressionCriterion), the node impurity is
> defined as the variance of the target values Y on that node. The
> predictions X are nowhere involved in the computations. This contradicts my
> notion of "loss function", which quantifies the discrepancy between
> predicted and target values. Am I looking at the wrong class or what I want
> to do is just not feasible with Random Forests? For example, I would like
> to modify the RandomForestRegressor code to minimize the Pearson's R
> between predicted and target values.
> > >
> > > I thank you in advance for any clarification.
> > > Thomas
> > >
> > >
> > >
> > >
> > > On 02/15/2018 01:28 PM, Guillaume Lemaitre wrote:
> > >> Yes you are right pxd are the header and pyx the definition. You need
> to write a class as MSE. Criterion is an abstract class or base class (I
> don't have it under the eye)
> > >>
> > >> @Andy: if I recall the PR, we made the classes public to enable such
> custom criterion. However, ‎it is not documented since we were not
> officially supporting it. So this is an hidden feature. We could always
> discuss to make this feature more visible and document it.
> > >
> > >
> > >
> > >
> > >
> > > --
> > > ======================================================================
> > > Dr Thomas Evangelidis
> > > Post-doctoral Researcher
> > > CEITEC - Central European Institute of Technology
> > > Masaryk University
> > > Kamenice 5/A35/2S049,
> > > 62500 Brno, Czech Republic
> > >
> > > email: tev...@pharm.uoa.gr
> > >               teva...@gmail.com
> > >
> > > website: https://sites.google.com/site/thomasevangelidishomepage/
> > >
> > >
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