I've always had trouble understanding graphs, lines and boxes. What are these topologies? can they be expressed in text?
On Tue, Jun 16, 2015 at 06:09:23PM -0700, J. Andrew Rogers wrote: > > > On Jun 16, 2015, at 3:26 PM, Dean Pomerleau <[email protected]> wrote: > > In short, growing evidence supporting the importance of cortical > > oscillations in neural processing suggests that this sort of analog/digital > > feedback loop might be critical to how the brain works, and that such > > interactions might be very hard (possible intractably hard) to model > > accurately (i.e. emulation vs. merely crude simulation) on a digital > > computer, in a similar way to how protein folding is intractable to model > > on a digital computer. > > > The tractability challenges of computational dynamics for brain-like models > is related to why we can’t analyze the dynamics of *any* non-trivial physical > world system. It is not coincidence that all “big data” computation focuses > solely on relationships in the electronic world and not the physical world. > > Interestingly, computer scientists rarely notice that these software systems > do not exist until you point it out. And when you do point it out they are at > a loss to explain why. It is only “obvious” in hindsight. > > > Virtually all existing computer science is based on the manipulation of > graph-like data models and primitives. The problem is that some systems, > notably physical world systems, have relationships that are fundamentally > topological in nature. Graphs are a special, strict subset of more general > topological computing representations; it is not possible to construct a > scalable topological computational model on top of graph primitives. > > There is no computer science literature for computing on topological data > models. To the extent algorithms and data structures exist to handle basic > topological data models (e.g. R-trees), they exhibit pathological scalability > because they are shoehorned into traditional graph models. If you want to > compute on topological models at scale, you need to build a completely new > computer science stack, from the most elementary primitives on up. And it > needs to have an efficient implementation on conventional silicon. > > > If you can directly manipulate topologies as computational constructs, > instead of graphs only, many types of computational dynamic suddenly become > *much* more tractable. In practice, the use of inappropriate algorithms and > data structures to represent topological relationships are responsible for > most intractability related to expressions of physical world system dynamics > on a computer. It just never crosses the mind of most computer scientists > working on such things and it is never discussed in computer science > curricula. > > > > > > ------------------------------------------- > AGI > Archives: https://www.listbox.com/member/archive/303/=now > RSS Feed: https://www.listbox.com/member/archive/rss/303/5037279-a88c7a6d > Modify Your Subscription: https://www.listbox.com/member/?&; > Powered by Listbox: 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
