Just for general bemusement ... here are some recent rough outlines I wrote indicating what I think are some interesting research directions related to hypergraphs, category theory and AI ...
https://arxiv.org/abs/1703.04361 https://arxiv.org/abs/1703.04382 https://arxiv.org/abs/1703.04368 I am also musing on this paper http://geometry.caltech.edu/pubs/DKT05.pdf and wondering if we can somehow use it to do some interesting differential geometry on hypergraphs. A weighted hypergraph is sort of like a field on a simplicial complex, right? A weighted, typed hypergraph is sort of like a vector field on a simplicial complex. So maybe differential geometry and algebraic topology etc. on simplicial complexes can tell us something about weighted labeled hypergraphs, which in OpenCog are used as the core cognitive representation. But this is just a twinkle in my eye at the moment... -- Ben -- Ben Goertzel, PhD http://goertzel.org “Our first mothers and fathers … were endowed with intelligence; they saw and instantly they could see far … they succeeded in knowing all that there is in the world. When they looked, instantly they saw all around them, and they contemplated in turn the arch of heaven and the round face of the earth. … Great was their wisdom …. They were able to know all.... But the Creator and the Maker did not hear this with pleasure. … ‘Are they not by nature simple creatures of our making? Must they also be gods? … What if they do not reproduce and multiply?’ Then the Heart of Heaven blew mist into their eyes, which clouded their sight as when a mirror is breathed upon. Their eyes were covered and they could see only what was close, only that was clear to them.” — Popol Vuh (holy book of the ancient Mayas) ------------------------------------------- AGI Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/21088071-f452e424 Modify Your Subscription: https://www.listbox.com/member/?member_id=21088071&id_secret=21088071-58d57657 Powered by Listbox: http://www.listbox.com
