Questions tagged [non-euclidean-data]

What is non-Euclidean data? Here are some sub-questions Where does this type of data arise? I have come across this term in the context of geometric deep learning and graph neural networks. Apparently, graphs and manifolds are non-Euclidean data.…

I am reading this book called "Deep Learning" (by Goodfellow, Bengio and Courville). On page 326, in the first paragraph, it says: CNNs, are a specialized kind of neural network for processing data that has a known grid-like topology. Examples…

From what I've seen in clustering, distance is taken as a hyper parameter (which is to be selected) when inferring the relationships/clusters between points. Examples of distances I've come across are Euclidean, taxicab, Mahalanorbis, and…

Let $S$ be a finite subset of a $\mathbb{R}^k$ partitioned into $N$ subsets $S_1, \ldots, S_N$ and let $n_j = |S_j|$. The between-groups sum of squares of the partition is defined as $$bSS(S_1,\ldots, S_N) = \sum_{j=1}^{N} n_j ||\mathbb{E}[S_j] -…