## K-means as a cost function minimisati...

Clustering is an important category of machine learning methods and a main form of unsupervised learning. Clustering is essentially distinctive and substantially different from the other dominant form of machine learning, classification, in that it does not rely on training (supervised learning). In principle, clustering represents any method that tries to identify and distinguish groups […]

## Matrix-based implementation of neural...

Of the most basic forms of a machine learning system based on neural networks is the one in which training is accomplished using back error propagation, or simply back-propagation. Back-propagation is a technique, like many others, that targets the minimisation of a cost function during a learning process by following the descending gradient of the […]

## Logistic regression for multi-class c...

Machine learning is a research domain that is becoming the holy grail of data science towards the modelling and solution of science and engineering problems. I have already witnessed researchers proposing solutions to problems out of their area of expertise using machine learning methods, basing their approach on the success of modern machine learning algorithm […]

## Expectation Maximization for gaussian...

This post serves as a practical approach towards a vectorized implementation of the Expectation Maximization (EM) algorithm mainly for MATLAB or OCTAVE applications. EM is a really powerful and elegant methods for finding maximum likelihood solutions in cases where the hypothesis involves a gaussian mixture model and latent variables. Introduction EM is connected with the […]

## A basic step-by-step Linux shell-base...

The following set of shell commands are among the basic steps to setup a Linux-based web server (LAMP=Linux Apache MySQL PHP). The procedure has been tested on an Ubuntu 14.04.05 Trusty Tahr (LTS) installation. Most steps and procedures are based on the tutorial found in DigitalOcean and in the linked pages. In the commands that […]

## Imagine

imagine

you exit to where there is no exit

just to look at what’s inside

and build more bubbles out in the nowhere

not to feel alone in the dark,

but this transforms nothing to something

by this simple given thought

and then you run back into symmetries

for a meaning all in all,

on a stage of equal weights

on which singulars are stars