We present an algorithm for classification tasks on big data. Experiments conducted as part of this study indicate that the algorithm can be as accurate as ensemble methods such as random forests or gradient boosted trees. Unlike ensemble methods, the models produced by the algorithm can be easily interpreted. The algorithm is based on a divide and conquer strategy and consists of two steps. Th...

We provide models that are as close possible to being formal for a large class of compact manifolds admit transversely Kaehler structure, including Vaisman and quasi-Sasakian manifolds. As an application we able classify the corresponding nilmanifolds.

When for example a blood flow is measured by ultrasound Doppler tomography, part of the received data can be modelled as the Radon transform of the region of reflecting particles. The reconstruction problem thus consists of determining a homogeneous object (that is to determine a function only attaining the values 0 and 1) from Radon transform data. Standard inversion method for the Radon trans...

Spatially homogeneous thermal explosions governed by a three-step chain-branching kinetic model are described in the asymptotic limit of large activation energy for a range of chain-branching cross-over temperatures. The model consists of a sequence of chain-initiation, chain-branching and chain-termination steps. Temperaturesensitive Arrhenius kinetics is employed for the initiation and branch...