We start by considering how to visualise classification scenario involving two classes of points on a two-dimensional plane. In the last lesson, we learned how to implement binary classification using a single artificial neuron. This time, we expose the limitations of using a single neuron and instead construct a network of neurons distributed into three layers. To implement such a network requires us to master computing long derivative chains. Luckily, by using the chain rule, and adequately visualising the process, this task becomes much less daunting. After computing the partial derivatives of the network's output in terms of all the weights and biases, we implement the neural network from scratch in the python programming language and then plot the classification results.
Lecturer: Dr. Nikola Marinčić, Chair for Digital Architectonics
23, March 2020, ETH Zurich