Hi Joost, Here's a case study. Notice how the concept of a geometrical space can be equated to a "context" in which patterns evolve, and see how this differs from its primitive cousin - an evolutionary genetic ANN. http://eplex.cs.ucf.edu/papers/gauci_aaai08.pdf Ken ============================= Kenneth A. Lloyd CEO and Director of Systems Science Watt Systems Technologies Inc. Albuquerque, NM USA [EMAIL PROTECTED] [EMAIL PROTECTED] - MBSE Complex, Adaptive & Stochastic Systems [EMAIL PROTECTED] - Director of Education www.wattsys.com <http://www.wattsys.com/> <http://www.linkedin.com/pub/7/9a/824> http://www.linkedin.com/pub/7/9a/824
This e-mail is intended only for the addressee named above. It may contain privileged or confidential information. If you are not the addressee you must not copy, distribute, disclose or use any of the information in it. If you have received it in error please delete it and immediately notify the sender. _____ From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On Behalf Of Joost Rekveld Sent: Monday, April 21, 2008 1:54 PM To: The Friday Morning Applied Complexity Coffee Group Subject: Re: [FRIAM] recap on Rosen Hi Ken, in the context of Rosen's objections to course of mathematics since pythagoras, in what respect would CPPN's be any better than 'rules centered agent based modelling' ? I never heard about CPPN's; it seems interesting, but I can't really find any examples of something they're better at than 'straight' CA or neural networks ? curious, Joost. On 21 Apr, 2008, at 5:29 PM, Ken Lloyd wrote: Phil, There is a fundamental quality in mathematics - equality - or reversibility, if you will, that differs from nature. This means that there is a directionality in natural processes that cannot be deconstructed. Prigogine calls the lack of directional and temporal equality "far from equilibrium". Mathematics works well at describing systems at equilibrium, and seems to get progressively worse the further from equilibrium one gets. Emergence creates an emergency, so to speak. This has been my criticism of rules centered agent based modeling, which is a theme from Wolfram, and why I have been researching compositional pattern producing networks (CPPN's) evolved by HyperNEAT. It seems to take energy to evolve. The interesting thing is a paradigmatic difference between solving problems, and recognizing solutions. Ken ------------------------------------------- Joost Rekveld ----------- http://www.lumen.nu/rekveld ------------------------------------------- "A is better off if B is better off." (Heinz von Foerster) -------------------------------------------
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