It sounds somehow related to Statistical Relational Learning (see, e.g., Pedro Domingos' book http://www.cs.umd.edu/srl-book/).
Best! Sergio On Sat, Jan 18, 2014 at 5:57 PM, YKY (Yan King Yin, 甄景贤) < [email protected]> wrote: > On Wed, Jan 15, 2014 at 7:29 PM, Russell Wallace < > [email protected]> wrote: > >> I saw your post. I don't have an opinion about the geometry of mind, but >> you're still on the list :) >> > > > Thanks =) Well, to explain why we're interested in the geometry of mind... > > In logic-based AGI, the KB is a collection of logic formulas. We may try > to organize this KB with a hierarchical (ie, tree) structure, somewhat akin > to a library catalog of books. That is more or less standard classical AI > stuff (although I'd argue that no one has yet built such a complete system > with all the ingredients right). > > The geometry of mind concerns what happens when we try to map the logic > formulas into a mathematical "space". That has more meaning than a mere > collection of formulas (ie, a set). If the set has "neighborhoods", we > have a topology. If this topology has a distance metric, then we have a > "geometry". If the distances varies continuously, we have a differential > geometry (or "manifold"). > > Knowing the spatial structure of the "mind" (ie the KB), may present new > methods for optimization, because mathematics offer almost inexhaustible > tricks that can be applied to geometric space. At least that's the hope. > That's why I (and Ben, it seems) are interested in conceptual geometry.... > > *AGI* | Archives <https://www.listbox.com/member/archive/303/=now> > <https://www.listbox.com/member/archive/rss/303/15717384-a248fe41> | > Modify<https://www.listbox.com/member/?&;>Your Subscription > <http://www.listbox.com> > ------------------------------------------- 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
