The areas of geometry, nonlinear dynamics and statistical scaling laws underly fractal structures. Described below are some key mathematical concepts. Fractal Dimension (Hausdorff Dimension) Fractal structures exist between integer dimensions. Instead of describing objects as existing in between 1,2 and 3D space, their complexity is captured as existing between in between these integer dimensions. Fractal dimension = log(number of self-similar pieces)/log(magnification factor

Fractals are self-similar structures that occur across varying scales. A couple of examples in nature include blood vessels... " Blood vessels of the face, circa 1900 " by Double--M  is licensed under CC BY 2.0 . ... galaxies... NASA, ESA, D. Calzetti (University of Massachusetts), H. Ford (Johns Hopkins University), and the Hubble Heritage Team ... and trees, to name a few. Natural examples such as blood vessels, trees and river networks grow in branching patterns to optimi

In the final year of my undergraduate engineering degree, we completed a major project. I chose to explore whether we can characterise...

Artificial intelligence is advancing rapidly. It is a relatively new development in the course of human history. In the broader history...

In this last edition of exploring heartbeat arrhythmias, we compare the performance of a 1D CNN and a dense neural network in the...

kNN model for heartbeat classification The current post looks at using another simple model: k-nearest neighbours (kNN) as a classifier....

This post describes an exploratory analysis using heartbeat arrhythmia data. It also initially builds a simple model based on looking at...

In the previous posts we explored applying deep learning techniques to classify large-scale structures such as radio galaxies, as well as...

In the previous two posts, we have explored using deep neural networks to classify radio sources. In the first of these two posts, we...

In the previous post we looked at classifying sources from the Radio Galaxy Zoo into compact sources and different classes of extended...

For my first PhD project, I looked into how successful deep neural networks are in classifying radio galaxy sources according to the...

During my PhD, I looked at the question of how we can automatically classify images of galaxies based on their appearance. At the time,...

I encountered a situation where the task was to do a seemingly simple linear regression with one variable, however the line of best fit...

According to the Oxford dictionary, creativity is 'the use of imagination or ideas to create something'. The ability to harness...

We download the German Credit Data dataset from the following website: https://archive.ics.uci.edu/ml/machine-learning-databases/statlog/...

Did you know it is possible to predict the genre a movie belongs to by knowing its synopsis? Read ahead to see how it is done! 1. Reading...

The Hello World! program is usually the first program written by people learning to code, so I put it as the title for my first post...