For neural nets, Daniel Amit had a good book in the 80's reviewing the dynamics of attractor neural nets ...
However, it is true that math does not really tell you what you need to know about AGI systems ... Math is more helpful for various sorts of narrow-AI systems, some of which are useful as components of AGI systems ... For instance, Amit discusses the occurrence of strange attractors in ANN's, but, there is no science telling us what NN learning algorithms will effectively cause the formation of memory-storing strange attractors... the relevant science doesn't really go beyond fixed point and periodic attractors... Similarly, in logic, math tells us a lot about the logic rules, but not much about how to create scalable inference control on real-world reasoning problems... etc. -- Ben G On Wed, Oct 8, 2008 at 6:25 PM, Vladimir Nesov <[EMAIL PROTECTED]> wrote: > On Thu, Oct 9, 2008 at 1:36 AM, Valentina Poletti <[EMAIL PROTECTED]> > wrote: > > And here is your first question on AGI.. actually rather on AI. It's not > so > > trivial though. > > Some researchers are telling me that no-one has actually figured out how > AI > > algorithms, such as ANNs and genetic algorithms work.. in other words > there > > is no mathematical explanation to prove their behavior. I am simply not > > happy with this answer. I always look for mathematical explanations. > > Particularly, I am not talking about something as complex as AGI, but > > something as simple as a multi-layer perceptron. Anybody knows anything > that > > contradicts this? > > Thanks > > Read an introductory text on machine learning to get up to speed -- > it's the math of AI, and there's lots of it. Statistics, information > theory. It's an important perspective from which to look at less well > understood hacks, to feel the underlying structure. > > -- > Vladimir Nesov > [EMAIL PROTECTED] > http://causalityrelay.wordpress.com/ > > > ------------------------------------------- > agi > Archives: https://www.listbox.com/member/archive/303/=now > RSS Feed: https://www.listbox.com/member/archive/rss/303/ > Modify Your Subscription: > https://www.listbox.com/member/?&; > Powered by Listbox: http://www.listbox.com > -- Ben Goertzel, PhD CEO, Novamente LLC and Biomind LLC Director of Research, SIAI [EMAIL PROTECTED] "Nothing will ever be attempted if all possible objections must be first overcome " - Dr Samuel Johnson ------------------------------------------- agi Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/ Modify Your Subscription: https://www.listbox.com/member/?member_id=8660244&id_secret=114414975-3c8e69 Powered by Listbox: http://www.listbox.com
