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- From: bill@nsma.arizona.edu (Bill Skaggs)
- Newsgroups: comp.ai.neural-nets
- Subject: Re: Neural Nets and Brains
- Message-ID: <BILL.92Jul26125431@ca3.nsma.arizona.edu>
- Date: 26 Jul 92 19:54:31 GMT
- References: <arms.711935064@spedden>> <BILL.92Jul23224539@ca3.nsma.arizona.edu>
- <arms.711986585@spedden> <1992Jul25.031126.1722@news.iastate.edu>
- <arms.712073050@spedden>
- Sender: news@organpipe.uug.arizona.edu
- Organization: ARL Division of Neural Systems, Memory and Aging, University of
- Arizona
- Lines: 41
- In-Reply-To: arms@cs.UAlberta.CA's message of 25 Jul 92 14: 04:10 GMT
-
- arms@cs.UAlberta.CA (Bill Armstrong) writes:
-
- >Aside from brain modelling using purely boolean signals, there are
- >other potential uses of ALNs un studying the brain; namely
- >explaining what is happening in nerve cell collections. If the
- >axons have action potentials, then it would still be possible,
- >even if there are continuous signals at other places in the
- >system, to study the relationships among axon firings using
- >boolean methods. One would have to relate the firing of axon A to
- >firings of others B, C, ... at previous time instants. In this
- >way, one would factor out the continuous parts of the operations
- >and concentrate on the functional modelling just based on boolean
- >operations and time delays.
- >
- >Does anyone know if this has been tried?
-
- Hmm, well. It's at least been *thought of*. The problem is that when
- there are potentially thousands of inputs to a cell, and the cell
- integrates inputs over a hundred or so time steps, it takes way too
- much space to represent the operations in Boolean terms. If you're
- trying to get the relationships biologically correct, the only
- reasonably efficient way to represent neural operations is in terms of
- difference equations.
-
- At a more abstract level, there is a long history of cellular-
- automaton style models of neural systems. I have to say that I'm not
- very impressed by their overall success: it seems that such models
- almost invariably show strange phenomena (particularly long and
- complex cycles) that disappear when the models are made more
- realistic.
-
- On the other hand, *probabilistic* cell-aut models have made some
- important contributions. The simple Ising model -- consisting of a
- layer of binary units connected to their nearest neighbors and having
- a tendency to switch into the same state as the majority of their
- nearest neighbors -- has played a very important role in the
- development of statistical mechanics (particularly the theory of phase
- transitions). The theory of attractor neural networks owes a great
- deal to it and related simple models.
-
- -- Bill
-