Wish it was mastered a lil louder cause Im gonna rise the fuck outta this tune. I'll just crank the trim a bit idc hehe Fuckin absolutely adore this one
Deciding Sheaves on Presheaves Abstract. Algorithmicists are well-aware that fast dynamic programming algorithms are very often the correct choice when computing on compositional (or even recursive) graphs. Here we initiate the study of how to generalize this folklore intuition to mathematical structures writ large. We achieve this horizontal generality by adopting a categorial perspective which allows us to show that: (1) structured decompositions (a recent, abstract generalization of many graph decompositions) define Grothendieck topologies on categories of data (adhesive categories) and that (2) any computational problem which can be represented as a sheaf with respect to these topologies can be decided in linear time on classes of inputs which admit decompositions of bounded width and whose decomposition shapes have bounded feedback vertex number. This immediately leads to algorithms on objects of any C-set category; these include - to name but a few examples - structures such as: symmetric graphs, directed graphs, directed multigraphs, hypergraphs, directed hypergraphs, databases, simplicial complexes, circular port graphs and half-edge graphs. Thus we initiate the bridging of tools from sheaf theory, structural graph theory and parameterized complexity theory; we believe this to be a very fruitful approach for a general, algebraic theory of dynamic programming algorithms. Finally we pair our theoretical results with concrete implementations of our main algorithmic contribution in the AlgebraicJulia ecosystem.
Idk if you'd ever consider doing soft goods, but a sweater with the artwork of always inside your head would look so dope! I'd rock out here in the northwest :)
Wow !!! Lone, you've done it again! Everything is in this track... Oldschool, newschool, upbeat, meditation, amazing chords, arpeges... This is like an awake dream. Thanks so much !!!
Here are the lyrics of Midnight if you want to sing along In the darkness before the dawn In the swirling of the storm When I’m rolling with the punches and hope is gone Leave a light a light on Millions of miles from home In the swirling swimming on When I’m rolling with the thunder But bleed from thorns Leave a light a light on Leave a light a light on In the darkness before the dawn In the darkness before the dawn Leave a light a light on Leave a light a light on
