Not sure if this is what you are asking but ?Cmaybe you could use NCM’s (Neutrospohic Cognitive Maps) with a neutrosphic adjacency matrix? That might eliminate discrete “jumps”….
John From: YKY (Yan King Yin, 甄景贤) [mailto:[email protected]] Sent: Monday, January 27, 2014 4:34 AM To: AGI Subject: Re: [agi] Ben's geometry of mind paper I found that the passage from logic to algebra is actually pretty easy. The key step being the unification step: h x = f where h is the head of the rule, f is a fact, x is a set of substitutions to be solved for. This can be represented in a vector space. The problem is that my formulas exist in a discrete space. Consider 2 formulas: A. "JFK was assassinated by a lone gunner" B. "JFK was killed by CIA conspiracy" There is no way to move continuously from A to B, unless we allow discrete "jumps". One of Ben's ideas is to assign probability distributions over all possible formulas. That way, the distributions over A and B vary smoothly, they form a manifold whose distance metric is given by the K-L divergence between 2 probability distributions. AGI | <https://www.listbox.com/member/archive/303/=now> Archives <https://www.listbox.com/member/archive/rss/303/248029-3b178a58> | <https://www.listbox.com/member/?&;> Modify 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
