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## The Fourier Transform and Its Math Explained From Scratch

In this post we will build the mathematical knowledge for understanding the Fourier Transform from the very foundations. In the first section we will briefly discuss sinusoidal function and complex numbers as they relate to Fourier transforms. Next, we will develop an understanding of Fourier series and how we can approximate periodic functions using

## Deep Learning for Semantic Image Segmentation: A Worked Example in TensorFlow

In this post, we will develop a practical understanding of deep learning for image segmentation by building a UNet in TensorFlow and using it to segment images. What is Image Segmentation? Image Segmentation is a technique in digital image processing that describes the process of partitioning an image into sections. Often the goal is

## An Introduction to Autoencoders and Variational Autoencoders

What is an Autoencoder? An autoencoder is a neural network trained to compress its input and recreate the original input from the compressed data. This procedure is useful in applications such as dimensionality reduction or file compression where we want to store a version of our data that is more memory efficient or reconstruct

## An Introduction to Residual Skip Connections and ResNets

In this post, we will develop a thorough understanding of skip connections and how they help in the training of deep neural networks. Furthermore, we will have a look at ResNet50, a popular architecture based on skip connections. What are Residual Skip Connections? In a nutshell, skip connections are connections in deep neural networks

## How to Find Vector Projections

In this post, we learn how to perform vector projections and scalar projections. In the process, we also look at the basis of a vector space and how to perform a change of basis. What is a Vector Projection? A vector projection of a vector a onto another vector b is the orthogonal projection

## Building a Convolutional Neural Network for Image Classification: A Step-by-Step Example in TensorFlow

In this post, we will learn to build a basic convolutional neural network in TensorFlow and how to train it to distinguish between cats and dogs. We start off with a simple neural network and gradually work our way towards more complex architectures evaluating at each step how the results are changing. To build

## Deep Learning Architectures for Image Classification: LeNet vs Alexnet vs VGG

In this post, we will develop a foundational understanding of deep learning for image classification. Then we will look at the classic neural network architectures that have been used for image processing. Deep Learning for Image Classification Image classification in deep learning refers to the process of getting a deep neural network to determine

## Principal Components Analysis Explained for Dummies

In this post, we will have an in-depth look at principal components analysis or PCA. We start with a simple explanation to build an intuitive understanding of PCA. In the second part, we will look at a more mathematical definition of Principal components analysis. Lastly, we learn how to perform PCA in Python. What

## Building a Neural Network with Training Pipeline in TensorFlow and Python for the Titanic Dataset: A Step-by-Step Example

In this post, we will cover how to build a simple neural network in Tensorflow for a spreadsheet dataset. In addition to constructing a model, we will build a complete preprocessing and training pipeline in Tensorflow that will take the original dataset as an input and automatically transform it into the format necessary for

## An Introduction to Convolutional Neural Network Architecture

In this post, we understand the basic building blocks of convolutional neural networks and how they are combined to form powerful neural network architectures for computer vision. We start by looking at convolutional layers, pooling layers, and fully connected. Then, we take a step-by-step walkthrough through a simple CNN architecture. Understanding Layers in a