Abstract: The Heisenberg uncertainty principle, which is a fundamental result in quantum mechanics, and related inequalities such as the hydrogen and Hardy uncertainty principles, belong to the family ...

Artificial intelligence is already a part of everyday life. It helps us answer questions like “Is this email spam?” It identifies friends in online photographs, selects news stories based on our ...

A centroidal Voronoi tessellation is a Voronoi tessellation whose generating points are the centroids (centers of mass) of the corresponding Voronoi regions. We give some applications of such ...

We describe an efficient implementation of the so-called minimum degree algorithm, which experience has shown to produce efficient orderings for sparse positive definite systems. Our algorithm is a ...

Matrix multiplication is at the heart of many machine learning breakthroughs, and it just got faster—twice. Last week, DeepMind announced it discovered a more efficient way to perform matrix ...