Phil, I now see where 'accumulated variance' is used in the context of Principal Components Analysis where it represents how much of the variance is explained by a set of component vectors. Is this how you're using the term?
Given this usage, I would guess that if you described the agents' states with position and velocity vectors, a given number of principal components would have increasing accumulated variance as the swarm becomes more organized. Or, perhaps you are talking about describing the motion of the swarm as a single entity? In that case, I would say it depends on the parameters of the model. Some settings yield swarms that break symmetry in linear momentum and move at a constant rate in a given direction. Other settings in a model yield more stationary swarms that buzz around much like gnats around a light. These swarms may exhibit random-walk dynamics. FWIW, We have a swarm model/visualization at http://www.redfish.com/projects/SwarmEffects/ where you can vary agent behaviors to get different macro swarms. Focus on changing the "Average Position", "Avoid" and "Average Direction" sliders. These sliders weight how much a given behavior contributes to a summed vector that is an agent's next move. -Steve > -----Original Message----- > From: Stephen Guerin [mailto:[EMAIL PROTECTED] > Sent: Wednesday, September 06, 2006 11:55 PM > To: [EMAIL PROTECTED]; 'The Friday Morning Applied Complexity > Coffee Group' > Subject: Re: [FRIAM] Do you know? Do 'swarms' follow random walks? > > Hi Phil, > > > Has anyone checked to see if any alife 'swarms' display > accumulative > > variance? > > I haven't come across the term 'accumulative variance' > before. Do you have a web pointer? > > As a swarm organizes, the agents' directions and velocities > become more correlated with each other. ie agents become more > constrained as they lose degrees of freedom. Would you > interpret this to be decreasing variance? > > -Steve > > > > > -----Original Message----- > > From: Phil Henshaw [mailto:[EMAIL PROTECTED] > > Sent: Wednesday, September 06, 2006 8:24 PM > > To: 'The Friday Morning Applied Complexity Coffee Group' > > Subject: [FRIAM] Do you know? Do 'swarms' follow random walks? > > > > Has anyone checked to see if any alife 'swarms' display > accumulative > > variance? > > > > If you were to design one to do that, would it have a structure > > comparable to populations of organisms living in ecologies? > > > > -In case anyone's curious I have a high quality direct measure of > > accumulative variance. > > > > > > Phil Henshaw ¸¸¸¸.·´ ¯ `·.¸¸¸¸ > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > 680 Ft. Washington Ave > > NY NY 10040 > > tel: 212-795-4844 > > e-mail: [EMAIL PROTECTED] > > explorations: www.synapse9.com > > > > > > > -----Original Message----- > > > From: [EMAIL PROTECTED] > > > [mailto:[EMAIL PROTECTED] On Behalf Of Phil Henshaw > > > Sent: Tuesday, September 05, 2006 8:30 PM > > > To: 'The Friday Morning Applied Complexity Coffee Group' > > > Subject: [FRIAM] nature walks! > > > > > > > > > > > > I am dually impressed at Amazon's ability to know what > > undergarments > > > it's random visitors might be advised to > > > try....:) (just marvelous!) but still I have some questions about > > > reality 101. > > > > > > If molecules in thermal motion follow random walks, do > > fluids composed > > > of molecules in thermal motion do so as well? I've run into the > > > strangest confusion among Darwinian theorists, both from > > journals of > > > paleontology and evolutionary biology. I have a quite good paper > > > that's unpublishable because I stick my neck out to say > populations > > > have no non-extraordinary mechanisms for changing by random walks. > > > > > > a) am I wrong and there are some? a.1)clue me in.. > > > b) do you know a journal for people literate in evolution > > theory that > > > might be willing to consider the issue based on physical > mechanisms? > > > > > > > > > Phil Henshaw ¸¸¸¸.·´ ¯ `·.¸¸¸¸ > > > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > > > 680 Ft. Washington Ave > > > NY NY 10040 > > > tel: 212-795-4844 > > > e-mail: [EMAIL PROTECTED] > > > explorations: www.synapse9.com > > > > > > > > > > > > > > > ============================================================ > > > FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at > > > cafe at St. John's College lectures, archives, > unsubscribe, maps at > > > http://www.friam.org > > > > > > > > > > > > > > ============================================================ > > FRIAM Applied Complexity Group listserv Meets Fridays > 9a-11:30 at cafe > > at St. John's College lectures, archives, unsubscribe, maps at > > http://www.friam.org > > > > > > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org > > ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org
