The complexity of data in the higher dimensional space can be efficiently represented in the lower dimensional space using dimension reduction techniques (Choi 2014). Principal components analysis ...

We construct regular components of the moduli space of stable maps from curves of genus g to a product of two projective spaces. These components are generically smooth and have the expected dimension ...

Scientists at Université de Montréal have developed a unique technique to map, on a scale of milliseconds, the elasticity of the components inside a cell. Cells quake. In somewhat the same way that ...