# "No free lunch" theorem lies about Random Forests

I've read a great paper by Delgado et al.  namely "Do we Need Hundreds of Classifiers to Solve Real World Classi cation Problems?" in which they compare 179 different classifiers from 17 families on 121 data sets composed by the whole UCI data base and some real-world problems. Classifiers are from R with and without caret pack, C and Matlab (I wish I could see Sklearn as well).

I really recommend you to read the paper in detail but I will share some of the highlights here. The most impressive result is the performance of Random Forests (RF) Implementations. For each dataset, RF is always at the top places. It gets 94.1%  of max accuracy and goes by 90% in the 84.3% of the data sets. Also, 3 out of 5 best classifiers are RF for any data set. This is pretty impressive, I guess. The runner-up is SVM with Gaussian kernel implemented in LibSVM and it archives 92.3% max accuracy. The paper points RF, SVM with Gaussian and Polynomial kernels, Extreme Learning Machines with Gaussian kernel, C5.0 and avNNet (a committe of MLPs implemented in R with caret package) as the top list algorithms after their experiments.

One shortcoming of the paper, from my beloved NN perspective,  is used Neural Network models are not very up-to-date versions such as drop-out, max-out networks. Therefore, it is hard to evaluate algorithms against these advance NN models. However, for anyone in the darn dark of algorithms, it is a quite good guideline that shows the power of RF and SVM against the others.

# Fundamental Sort Algorithms in Python

As a rusty researcher at coding, I spend some to revise my algorithm knowledge. At some part, I coded basic sorting algorithms in Python as  a good and concise practice (even the result is not very efficient as C or C++). However you would like to check the code and clean up your memory or edit the code in some efficient manner. Continue reading Fundamental Sort Algorithms in Python

# Project Euler - Problem 14

Here is one again a very intricate problem from Project Euler. It has no solution sheet as oppose to the other problems at the site. Therefore there is no consensus on the best solution.

Below is the problem: (I really suggest you to observe some of the example sequences. It has really interesting behaviours. 🙂 )

The following iterative sequence is defined for the set of positive integers:

n n/2 (n is even)
n 3n + 1 (n is odd)

Using the rule above and starting with 13, we generate the following sequence: Continue reading Project Euler - Problem 14