Abstract: This report gives an introduction to diffusion maps, some of their underlying theory, as well as their applications in spectral clustering. First, the shortcomings of linear methods such as PCA are shown to motivate the use of graph-based methods. We then explain Locally Linear Embedding, Isomap and Laplacian eigenmaps, before we give details on diffusion maps and anisotropic diffusion processes.
Game Of Life - This is not really a game but rather a way to see how evolution can - with simple rules - create some interesting patterns in each life cycle.