Benjamin, It's interesting that you mentioned this right now. My discussion with Edward in parallel thread effectively led to this issue. Basically, it's useful to be able to find regularities between arbitrary pair of concepts (say, A and B) that system supports (as kind of domain-independence). But when such weak connection between these concepts is established, it's useful to be able to find more regularities between other concepts that are connected to them (between concepts associated with A and concepts associated with B). For this purpose, it's useful to impose kind of locality field on concepts that get connected.
On 10/21/07, Benjamin Goertzel <[EMAIL PROTECTED]> wrote: > > > > On 10/21/07, Edward W. Porter <[EMAIL PROTECTED]> wrote: > > > > Ben, > > > > > > > > Good Post > > > > > > > > I my mind the ability to map each of N things into a model of a space is > > a very valuable thing. It lets us represent all of the N^2 spatial > > relationships between those N things based on just N mappings. This is > > something we all know, but it is one of the many wonderful efficiencies of > > mathematics we often don't stop to appreciate. > > > > > Yes, a spatial index/embedding lets you efficiently get answers to a > variety of queries that are inefficient to answer based on many other > indices/representations.. > > For instance: Given X, find all entities within radius r of X ... or, find > the N items most similar to X ... > > Thus, even for non-spatial data, it may benefit an AGI system to project > data into some N-space, in such a way that Euclidean distance mimics > "conceptual similarity" between data items, so as to make this kind of query > efficient to answer... > > We have prototyped this trick in Novamente for a couple purposes... and > eventually it will be integrated into the core system as a default service > to be utilized by all MindAgents as appropriate... > > -- Ben G > ------------------------------ > This list is sponsored by AGIRI: http://www.agiri.org/email > To unsubscribe or change your options, please go to: > http://v2.listbox.com/member/?&; -- Vladimir Nesov mailto:[EMAIL PROTECTED] ----- This list is sponsored by AGIRI: http://www.agiri.org/email To unsubscribe or change your options, please go to: http://v2.listbox.com/member/?member_id=8660244&id_secret=56068760-1461dc
