A quick introduction to super-resolution using Stable Diffusion and the Diffusers library

In this blog post, we will show how to use the diffusers library to upscale images using the Stable Diffusion Upscaler model. The model is a diffusion-based super-resolution model that is capable of generating high-quality upscaled images.

4 min read
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How to create matrices in LaTeX

This blog post will guide you through the steps of creating matrices in LaTeX. It will start with the general syntax and then explain how to create row and column vectors, determinants, arbitrary sized matrices and nested matrices. It will conclude with several examples of real world matrices and the use of matrices in mathematical expressions.

7 min read

How to Create Quantum Gate Diagrams in Python

A key concept in quantum computing is the quantum logic gate. Quantum gates are the building blocks of quantum circuits. In this blog we will learn how to create quantum gate and quantum circuit diagrams in Python using the SymPy library.

10 min read

A Minimalist ChatGPT for Jupyter Notebook or Command Line

In this blog post, we will explore how to implement a minimalist ChatGPT-style app in a Jupyter Notebook. The goal is to provide an understanding of the important concepts, components, and techniques required to create a chat app on top of a large language model (LLM), specifically OpenAI’s GPT.

24 min read

Policy Iteration for finite MDPs

In this blogpost we will implement Example 4.2 from Chapter 4 Reinforcement Learning (Sutton and Barto aka the RL book). This is an example of a problem involving a finite Markov Decision Process for which policy iteration is used to find an optimal policy.

20 min read

How to use curly brackets {} in LaTeX

In this tutorial, we will discuss various ways to use curly brackets $\{\}$ in LaTeX. The simplest case involves using curly brackets to denote a set. However, curly brackets, or braces, can also be used to group multiple lines of calculations and mathematical equations or to add explanatory text above or below the expressions.

6 min read

How to plot a Windrose in Python

A windrose is a circular histogram that shows the distribution of wind speeds and directions over a period of time. In this tutorial we will learn how to plot a windrose in Python using Matplotlib and Plotly.

13 min read

Animations in Plotly.js

In this blog, we will demystify the process of creating interactive animations using Plotly.js.

11 min read

Representing Norms in LaTeX

In this blog post, we will learn how to write the norm function in LaTeX and how to represent different types of norms.

2 min read

Writing Ceil, Floor and Abs in LaTeX

In this blog post, we will learn how to write the ceiling, floor and absolute value functions in LaTeX, both in mathematical notation and as text.

2 min read

How to create non-square images with DALL-E 2

The DALL-E API from OpenAI is a very powerful image generation tool. However one limitation is that it only outputs square images. In this tutorial we will learn how to generate images of arbitrary dimension such as portraits and landscapes.

6 min read

How to generate subtitles with the Whisper API in Python

In this tutorial we will learn how to use the Whisper API to generate subtitles for a video. We will generate subtitles for the opening of A Star Is Born (1937), an early colour movie that has been frequently remade.

3 min read

Transformer Part 2: Train a Translation Model

In Part 1 of the tutorial we learned how to how build a transformer model. Now it is time to put it into action. There are lots of things we can do with a transformer but we will start off with a machine translation task to translate from Spanish to English.

19 min read

Transformer Part 1: Build

Since its introduction the Transformer architecture has become very influential and has had successes in many tasks not just in NLP but in other areas like vision. This tutorial is inspired by the approach in The Annotated Transformer and uses text directly quoted from the paper to explain the code.

19 min read


The PixelRNN family of auto-regressive architectures consists of models that learn to generate images a pixel at a time. In this post we will focus on the PixelCNN model which is based on the same principles but uses convolutional layers instead of recurrent layers. It is simpler to implement and once we have grasped the core concepts, it is straightforward to understand the recurrent versions.

17 min read
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Strassen’s algorithm for matrix multiplication

This is the first of a planned series of blogs covering background topics for DeepMind’s AlphaTensor paper. In this post we will cover Strassen’s algorithm for matrix multiplication.

9 min read

Implementing the Fréchet Inception distance

A popular metric for evaluating image generation models is the Fréchet Inception Distance (FID). Like the Inception score, it is computed on the embeddings from an Inception model. But unlike the Inception score, it makes use of the true images as well as the generated ones. In the post we will learn how to implement it in PyTorch.

6 min read

Speeding Up Diffusion Sampling

An important disadvantage with diffusion models is that a large number forward passes - typically 1000 or more - are needed to generate samples, making inference slow and expensive. In this post we will look at a couple of different methods that have been developed to speed up inference.

9 min read

An Introduction to Diffusion

In this blog we will learn about the basic diffusion-based generative model introduced in Denoising Diffusion Probabilistic Models (DDPM). This post will cover the basics at a relatively high level but along the way there will be optional exercises that will help you to delve deeper into the mathematical details.

22 min read

Veg2vec - word embeddings for plant-based foods with health benefits

One of the most exciting uses of machine learning is scientific discovery. Sometimes long before a discovery is officially made people have written about similar ideas and one could speculate what might have happened if some dots had been connected sooner. This is exactly what the mat2vec model (code, paper) seeks to do with the help of AI

9 min read

A quick overview of GLIDE

You have probably come across DALL-E 2 a large-scale image generation model from OpenAI. If not, you can read about it in their blog. DALL-E 2 uses a class of models known as diffusion models. The DALL-E 2 paper does not go into a lot of detail about the model architecture since it mostly extends an earlier architecture GLIDE. This article provides a brief introduction to the GLIDE architecture.

9 min read

Spherical Interpolation

\(\newcommand{\vv}{\mathbf{v}}\) In machine learning applications you sometimes want to interpolate vectors in a normalised latent space such as when interpolating between two images in a generative model. An appropriate method for doing this is spherical interpolation. In this post we will derive the formula for this method and show how it differs from linear interpolation.

5 min read

A Quick Introduction to Importance Sampling

You might have encountered the term importance sampling in a machine learning paper. This post provides a quick hands-on introduction to this topic. Hopefully after reading it you will have know understand how to use this technique in practice.

5 min read
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Distributed BatchNorm in TensorFlow

In this post we will see an example of how BatchNorm works when running distributed training with TensorFlow using TPUs and tf.keras.layers. This post assumes you know BatchNormalisation works.

7 min read

Furthest Point Sampling

I have come across an algorithm named furthest point sampling or sometimes farthest point sampling a few times in deep learning papers dealing with point cloud data. However there is a lack of resources online explaining what this algorithm actually does. Here I will try to explain it with reference to this CUDA implementation. Along the way we will also see how to implement it in an efficient parallelised way.

10 min read

Variational Auto-Encoder - Part 2 / Implementing a simple model


In the previous post we motivated the idea of a Variational Auto Encoder. Here we will have a go at implementing a very simple model to get a sense of all the components steps involved.

8 min read

Variational Auto-Encoder - Part 1 / Introduction

Consider this painting by Vincent Van Gogh known as “Wheatfield with Crows”. Suppose you want to learn a probability distribution over Van Gogh’s paintings. What the computer or a deep learning algorithm sees when it looks at this painting is a grid of RGB pixel intensities. So one approach might be to model the data as a sequence of individual pixels. Yet that is manifestly not how the artist has constructed the painting.

3 min read

Generating crops from images

This post explains how to implement a function to generate a crop of a particular object from an image given the position of the centroid of the object. The images below show an example use case: cropping all the individual oranges from an image.

2 min read

Non-maximum suppression (NMS)

This blogpost contains a quick practical introduction to a popular post-processing clustering algorithm used in object detection models. The code used to generate the figures and the demo can be found in this Colab notebook.

6 min read

Vectorizing Intersection over Union (IoU)

Supporting batched data is an important requirement for a deep learning pipeline to enable time efficient model training. Often when writing a function, the easiest way to start is to first handle one element and then use a for loop over all the elements in the batch.

4 min read

Converting Camera Conventions

When working with computer vision models we frequently need to know information about the camera that was used to generate the image. This includes information about the position of the camera in the world coordinate system as well as the intrinsic properties of the camera such as the focal length.

1 min read

Cosine Learning Rate Decay

In this post we will introduce the key hyperparameters involved in cosine decay and take a look at how the decay part can be achieved in TensorFlow and PyTorch. In a subsequent blog we will look at how to add restarts.

2 min read

Plotting bounding boxes for object detection

When working with detection models in a pipeline you often need to visualize the bounding boxes to sanity check the predictions. Bounding boxes can be defined in different ways so this is also useful to confirm the convention being used.

2 min read

Padding in PyTorch and TensorFlow embedding layers

When batching inputs for sequence models you often have sequences of variable sizes and you need to pad some of the inputs so that you can input them as a single tensor. For example here is a pair of lines in a dialogue from Twelfth Night Act 2, Scene 4 which are of variable length as represented here

simple example of two lines of different lengths

However you don’t want the pad locations to influence the weight updates. In this post we will learn how PyTorch and TensorFlow approach this via their respective embedding layers.

3 min read
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