Unsupervised clustering of a set of datums into homogenous groups is a primitive operation required in many signal and image processing applications. In fact, different incarnations and hybrids of Fuzzy C–Means (FCM) and Possibilistic C–means (PCM) have been suggested which address additional requirements such as accepting weighted sets and being robust to the presence of outliers. Nevertheless...

We define U(n) gauge theory on fuzzy S2 N × S2 N as a multi-matrix model, which reduces to ordinary Yang-Mills theory on S2×S2 in the commutative limit N → ∞. The model can be used as a regularization of gauge theory on noncommutative Rθ in a particular scaling limit, which is studied in detail. We also find topologically non-trivial U(1) solutions, which reduce to the known “fluxon” solutions ...