<p style='text-indent:20px;'>Topological Data Analysis (TDA) provides novel approaches that allow us to analyze the geometrical shapes and topological structures of a dataset. As one important application, TDA can be used for data visualization dimension reduction. We follow framework circular coordinate representation, which allows perform reduction high-dimensional datasets on torus usi...

Health and social care students spend up to 50% of their course in practice. Placements are distributed across a wide geographical area and have varying degrees of IT access and support. Consequently, students may feel isolated from peers, academic staff, and resources required for effective learning. Mobile technology has considerable potential to enhance the learning of these students. This p...

For geographic applications, it is of great interest to study the geometric properties of the sphere. Spatial models that directly deal with geographic coordinates are able to contemplate such aspects that would be otherwise disregarded by flat 2D models. For example, on the Earth’s surface, a point which is to the East of another point could be reached travelling to West as well. Being situate...

We introduce a proximal version of dual coordinate ascent method. We demonstrate how the derived algorithmic framework can be used for numerous regularized loss minimization problems, including `1 regularization and structured output SVM. The convergence rates we obtain match, and sometimes improve, state-of-the-art results.