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Mathematics for Machine Learning: Multivariate Calculus

This course offers a brief introduction to the multivariate calculus required to build many common machine learning techniques. We start at the very beginnin...
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Content

Platform: Coursera
Video: 3h 20m
Language: English

Table of contents

Description

This course offers a brief introduction to the multivariate calculus required to build many common machine learning techniques. We start at the very beginning with a refresher on the “rise over run” formulation of a slope, before converting this to the formal definition of the gradient of a function. We then start to build up a set of tools for making calculus easier and faster. Next, we learn how to calculate vectors that point up hill on multidimensional surfaces and even put this into action using an interactive game. We take a look at how we can use calculus to build approximations to functions, as well as helping us to quantify how accurate we should expect those approximations to be. We also spend some time talking about where calculus comes up in the training of neural networks, before finally showing you how it is applied in linear regression models. This course is intended to offer an intuitive understanding of calculus, as well as the language necessary to look concepts up yourselves when you get stuck. Hopefully, without going into too much detail, you’ll still come away with the confidence to dive into some more focused machine learning courses in future.

You will learn

Requirements

There is no prerequisite, anyone can begin this course.. This course is also great for beginners without any Math and Logic knowledge.

This course is for

This course is suitable for beginners.
Dyson School of Design Engineering
Imperial College London
Dr Sam Cooper is an Associate Professor in energy science and materials design in the Dyson School of Design Engineering at Imperial College London. His PhD was on the characterisation and optimisation of battery and fuel cell electrodes through 3D imaging, simulation and machine learning. Sam is the leader of the TLDR (Tools for Learning, Design and Research) group who have a particular interest in the application of generative adversarial networks to design tasks.
Platform: Coursera
Video: 3h 20m
Language: English

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