Boson Sampling is a task that conjectured to be computationally hard for classical computer, but which can efficiently solved by linear-optical interferometers with Fock state inputs. Significant advances have been reported in the last few years, demonstrations of small- and medium-scale devices, as well implementations variants such Gaussian Sampling. Besides relevance this class computational...

In this paper, we apply a general reinforcement learning method to automatically design the behavior of non player characters of the Counter-Strike first person shooter computer game. The result of the learning process is a set of decision trees that represents compactly and easily readable a model of the problem itself and the decision policy of characters. Beyond this example, we discuss the ...

1. Lie groups, homomorphisms and linear representations. Irreducible representations. 2. Maximal tori in compact Lie groups. 3. Characters of representations. Ring of virtual characters. The Weyl theorem. 4. Actions of Lie groups. Homogeneous spaces (orbits) and equivariant maps. 5. Classifying spaces of topological groups and maps induced by homomorphisms. 6. Homotopy classification of maps be...