Mehreen Saeed

Articles: 19

Joined: Sep 06, 2020

I am an educator and I love mathematics and data science!

Recently published

Article

Random Projection: Theory and Implementation in Python with Scikit-Learn

This guide is an in-depth introduction to an unsupervised dimensionality reduction technique called Random Projections. A Random Projection can be used to reduce the complexity and size of data, making the data easier to process and visualize. It is also a preprocessing technique for input preparation to a classifier or...

Mehreen Saeed

Aug 31, 2021·28 min read

Article

Self-Organizing Maps: Theory and Implementation in Python with NumPy

In this guide, we'll be taking a look at an unsupervised learning model, known as a Self-Organizing Map (SOM), as well as its implementation in Python. We'll be using an RGB Color example to train the SOM and demonstrate its performance and typical usage. Self-Organizing Maps: A General Introduction A...

Mehreen Saeed

Aug 25, 2021·20 min read

Article

Guide to Multidimensional Scaling in Python with Scikit-Learn

In this guide, we'll dive into a dimensionality reduction, data embedding and data visualization technique known as Multidimensional Scaling (MDS). We'll be utilizing Scikit-Learn to perform Multidimensional Scaling, as it has a wonderfully simple and powerful API. Throughout the guide, we'll be using the Olivetti faces dataset from AT&...

Mehreen Saeed

Aug 24, 2021·16 min read

Article

Calculating Spearman's Rank Correlation Coefficient in Python with Pandas

This guide is an introduction to Spearman's rank correlation coefficient, its mathematical calculation, and its computation via Python's pandas library. We'll construct various examples to gain a basic understanding of this coefficient and demonstrate how to visualize the correlation matrix via heatmaps. What Is the Spearman Rank Correlation Coefficient? Spearman...

Mehreen Saeed

Aug 23, 2021·20 min read

Article

Calculating Pearson Correlation Coefficient in Python with Numpy

This article is an introduction to the Pearson Correlation Coefficient, its manual calculation and its computation via Python's numpy module. The Pearson correlation coefficient measures the linear association between variables. Its value can be interpreted like so: +1 - Complete positive correlation +0.8 - Strong positive correlation +0.6...

Mehreen Saeed

Dec 11, 2020·15 min read

Article

Gradient Descent in Python: Implementation and Theory

This tutorial is an introduction to a simple optimization technique called gradient descent, which has seen major application in state-of-the-art machine learning models. We'll develop a general purpose routine to implement gradient descent and apply it to solve different problems, including classification via supervised learning. In this process, we'll gain...

Mehreen Saeed

Nov 04, 2020·23 min read

Article

Generating Synthetic Data with Numpy and Scikit-Learn

In this tutorial, we'll discuss the details of generating different synthetic datasets using the Numpy and Scikit-learn libraries. We'll see how different samples can be generated from various distributions with known parameters. We'll also discuss generating datasets for different purposes, such as regression, classification, and clustering. At the end we'll...

Mehreen Saeed

Oct 14, 2020·15 min read

Article

Kernel Density Estimation in Python Using Scikit-Learn

This article is an introduction to kernel density estimation using Python's machine learning library scikit-learn. Kernel density estimation (KDE) is a non-parametric method for estimating the probability density function of a given random variable. It is also referred to by its traditional name, the Parzen-Rosenblatt Window method, after its discoverers....

Mehreen Saeed

Sep 18, 2020·12 min read

Article

Java: Convert Array to Stream

In this tutorial, we'll be converting a Java Array into a Java Stream for primitive types, as well as objects. This can be done either via Arrays.stream(), as well as Stream.of(). Arrays.stream() A good way to turn an array into a stream is to use the Arrays...

Mehreen Saeed

Sep 04, 2020·3 min read