Which decision tree algorithm is used in randomForest in R? - r

I would like to know, which implementation of random forest in package randomForest in R is used to grow decision trees? Is it CART, ID3, C4.5 ,...... or sth else?

According to ?randomForest() the description states:
randomForest implements Breiman’s random forest algorithm (based on
Breiman and Cutler’s original Fortran code) for classification and
regression. It can also be used in unsupervised mode for assessing
proximities among data points, with Breiman L (2001). "Random
Forests"." Based on: Machine Learning. 45 (1): 5–32.
doi:10.1023/A:1010933404324.
According to Wikipedia (https://en.wikipedia.org/wiki/Random_forest):
The introduction of random forests proper was first made in a paper
by Leo Breiman This paper describes a method of building a forest of
uncorrelated trees using a CART like procedure. Reference to Breiman L (2001).
"Random Forests". Machine Learning. 45 (1): 5–32.
doi:10.1023/A:1010933404324. "
Therefore I would say it is CART.

In R, the ()randomForest package is using CART. There is also another package in R called ()ranger which can run decision trees at a faster pace

Related

Does bnlearn compute for non-linear correlations?

I've recently started using the bnlearn package in R for detecting Markov Blankets of a target node in the dataset.
Based on my understanding of Bayesian Inference, two nodes are connected if there is a causal relationship between the two and this is measured using some conditional independence tests to check for correlation while taking into account potential confounders.
I just wanted to clarify if bnlearn checks for both linear and non-linear correlations in these tests. I tried looking for stuff about this in the documentation for the package but I wasn't able to get anything.
It would be really helpful if someone can explain how bnlearn performs the CI tests.
Thanks a bunch <3
Correlation implies statistical dependence, but not vice versa. There are cases of statistical dependence where there is no correlation, e.g. in periodic signals (correlation between sin(x) and x is very low for many periods). The concept of statistical dependence is more abstract than correlation and thus the documentation is written differently.
As you can see in the example of sin(x) and x: This is indeed a non-linear dependency which should be captured by the Bayesian network.

Is it possible to build a random forest with model based trees i.e., `mob()` in partykit package

I'm trying to build a random forest using model based regression trees in partykit package. I have built a model based tree using mob() function with a user defined fit() function which returns an object at the terminal node.
In partykit there is cforest() which uses only ctree() type trees. I want to know if it is possible to modify cforest() or write a new function which builds random forests from model based trees which returns objects at the terminal node. I want to use the objects in the terminal node for predictions. Any help is much appreciated. Thank you in advance.
Edit: The tree I have built is similar to the one here -> https://stackoverflow.com/a/37059827/14168775
How do I build a random forest using a tree similar to the one in above answer?
At the moment, there is no canned solution for general model-based forests using mob() although most of the building blocks are available. However, we are currently reimplementing the backend of mob() so that we can leverage the infrastructure underlying cforest() more easily. Also, mob() is quite a bit slower than ctree() which is somewhat inconvenient in learning forests.
The best alternative, currently, is to use cforest() with a custom ytrafo. These can also accomodate model-based transformations, very much like the scores in mob(). In fact, in many situations ctree() and mob() yield very similar results when provided with the same score function as the transformation.
A worked example is available in this conference presentation:
Heidi Seibold, Achim Zeileis, Torsten Hothorn (2017).
"Individual Treatment Effect Prediction Using Model-Based Random Forests."
Presented at Workshop "Psychoco 2017 - International Workshop on Psychometric Computing",
WU Wirtschaftsuniversität Wien, Austria.
URL https://eeecon.uibk.ac.at/~zeileis/papers/Psychoco-2017.pdf
The special case of model-based random forests for individual treatment effect prediction was also implemented in a dedicated package model4you that uses the approach from the presentation above and is available from CRAN. See also:
Heidi Seibold, Achim Zeileis, Torsten Hothorn (2019).
"model4you: An R Package for Personalised Treatment Effect Estimation."
Journal of Open Research Software, 7(17), 1-6.
doi:10.5334/jors.219

Chain Classifiers in R

Is there any way to perform chain classification in multi-label classification problem. I have created a binary relevance model using mlr package which uses learners to achieve the same. But all the classification models in binary relevance are independent of each other and does not take into consideration the inter-dependencies of variables.
It would be really helpful if I can perform chain classification along with binary relevance method to improve my model.
We have multilabel classification with other algorithms like Classifier Chains now available in mlr, checkout the updated tutorial: http://mlr-org.github.io/mlr-tutorial/release/html/multilabel/index.html

Which decision-tree algorithm does the R package randomForest uses?

R has a package for random forests, named randomForest. Its manual can be found here. In the manual it is not mentioned which decision-tree growing algorithm is being used. Is it the ID3 algorithm? Is it something else?
Clarification: I am not asking about the meta-algorithm of the random forest itself. That meta algorithm uses base decision tree algorithm for each of the grown trees. For example, in Python's scikit-learn package, the tree algorithm which is being used is CART (as mentioned here).

Can someone explain me the difference between ID3 and CART algorithm?

I have to create decision trees with the R software and the rpart Package.
In my paper I should first define the ID3 algorithm and then implement various decision trees.
I found out that the rpart package does not work with the ID3 algorithm. It uses the CART algorithm. I would like to understand the difference and maybe explain the difference in my paper, but I did not found any literature who compares both sides.
Can you help me? Do you know a paper where both are compared or can you explain the difference to me?
I don't have access to the original texts 1,2 but using some secondary sources, key differences between these recursive ("greedy") partitioning ("tree") algorithms seem to be:
Type of learning:
ID3, as an "Iterative Dichotomiser," is for binary classification only
CART, or "Classification And Regression Trees," is a family of algorithms (including, but not limited to, binary classification tree learning). With rpart(), you can specify method='class' or method='anova', but rpart can infer this from the type of dependent variable (i.e., factor or numeric).
Loss functions used for split selection.
ID3, as other comments have mentioned, selects its splits based on Information Gain, which is the reduction in entropy between the parent node and (weighted sum of) children nodes.
CART, when used for classification, selects its splits to achieve the subsets that minimize Gini impurity
Anecdotally, as a practitioner, I hardly ever hear the term ID3 used, whereas CART is often used as a catch-all term for decision trees. CART has a very popular implementation in R's rpart package. ?rpart notes that "In most details it follows Breiman et. al (1984) quite closely."
However, you can pass rpart(..., parms=list(split='information')) to override the default behavior and split on information gain instead.
1 Quinlan, J. R. 1986. Induction of Decision Trees. Mach. Learn. 1, 1 (Mar. 1986), 81–106
2 Breiman, Leo; Friedman, J. H.; Olshen, R. A.; Stone, C. J. (1984). Classification and regression trees. Monterey, CA: Wadsworth & Brooks/Cole Advanced Books & Software.
http://www.cs.umd.edu/~samir/498/10Algorithms-08.pdf
Read 1 C4.5 and beyond of the paper It will clarify all your doubts, helped me with mine.
Don't get discouraged by the title, its about differences in different tree algorithms.
Anyways a good paper to read through
ID3 algorithm can be used for categorical feature and categorical label.
Whereas, CART is used for continuous features and continuous label.

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