Sticky Post – Read this first. Categories and Links in Mathemafrica

The navigability of Mathemafrica isn't ideal, so I have created this post which might guide you to what you are looking for. Here are a number of different categories of post which you might like to take a look at: First year mathematics notes and resources (particularly for the University [...]

By | January 17th, 2018|0 Comments

On useful study habits

I've been teaching MAM1000W for around 9 years now, and I am learning all the time. I learn both about new ways to think about old subjects (and how to try and best explain them), and I learn about the way students study, about what works and what doesn't, and [...]

By | May 13th, 2022|2 Comments

In pursuit of Zeta-3 – The World’s Most Mysterious Unsolved Math Problem, by Paul Nahin – a review

NB. I was sent this book as a review copy. From Princeton University Press I have to admit that I felt very skeptical when I started reading this book. In the prologue it is stated that the book is aimed at enthusiastic readers of mathematics with an AP [...]

By | April 23rd, 2022|1 Comment

When least is best, by Paul Nahin – a review

NB. I was sent this book as a review copy. From Princeton University Press For my review of Nahin's superb book "How to fall slower than gravity", see here. While not often taught as a topic with such wide-ranging uses in maths classes, finding the maxima or minima [...]

By | April 23rd, 2022|0 Comments

A course in Complex Analysis, by Saeed Zakeri – a review

NB. I was sent this book as a review copy. From Princeton University Press This is a no-nonsense, clearly written graduate level textbook on complex analysis, and while it is written for a graduate audience, I think that the way it is laid out, with clear examples throughout, [...]

By | April 23rd, 2022|0 Comments

Visual Differential Geometry and Forms – a mathematical drama in five acts, by Tristan Needham – a review

NB. I was sent this book as a review copy. From Princeton University Press Studying physics, some two decades ago at The University of Bristol, I found the majority of what we covered relatively intuitive. Even the arcane world of quantum mechanics, while impossible to truly visualise, is, [...]

By | December 11th, 2021|0 Comments

CRL Task 5: Learning Causal Models

We've now come to one of the most vital aspects of this theory - how can we learn causal models? Learning models is often an exceptionally computationally intensive process, so getting this right is crucial. We now develop some mathematical results which guarantee bounds on our learning. We'll start by [...]

By | September 19th, 2021|0 Comments

CRL Task 3: Counterfactual Decision Making

In the previous blog post we discussed some theory of how to select optimal and possibly optimal interventions in a causal framework. For those interested in the decision science, this blog post may be more inspiring. This next task involves applying counterfactual quantities to boost learning performance. This is clearly [...]

By | July 10th, 2021|4 Comments

CRL Task 2: Interventions – When and Where?

In the previous blog post we discussed the gorey details of generalised policy learning - the first task of CRL. We went into some very detailed mathematical description of dynamic treatment regimes and generalised modes of learning for data processing agents. The next task is a bit more conceptual and [...]

By | July 6th, 2021|4 Comments

CRL Task 1: Generalised Policy Learning

In the previous blog post we developed some ideas and theory needed to discuss a causal approach to reinforcement learning. We formalised notions of multi-armed bandits (MABs), Markov Decision Processes (MDPs), and some causal notions. In this blog post we'll finally get to developing some causal reinforcement learning ideas. The [...]

By | July 1st, 2021|4 Comments

Preliminaries for CRL

In the previous blog post we discussed and motivated the need for a causal approach to reinforcement learning. We argued that reinforcement learning naturally falls on the interventional rung of the ladder of causation. In this blog post we'll develop some ideas necessary for understanding the material covered in this [...]

By | April 6th, 2021|5 Comments
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