The large-scale utilization of wind energy brings severe challenges to the dispatching
operation of power systems. Currently, the probability density prediction method combining …

Geometry is crucial in our efforts to comprehend the structures and dynamics of
biomolecules. For example, volume, surface area, and integrated mean and Gaussian …

The Reeb graph of a scalar function that is defined on a domain gives a topologically
meaningful summary of that domain. Reeb graphs have been shown in the past decade to …

The fundamental theorem for toric geometry states a toric manifold is encoded by a complete
non-singular fan, whose combinatorial structure is the one of a PL sphere together with the …

We introduce a new algorithm to parallelise the computation of persistent homology of 2D
alpha complexes. Our algorithm distributes the input point cloud among the cores which …