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misunderstandings... :P
Posted By: MrHenDate: 10/25/06 8:45 a.m.

In Response To: Re: what? (thermoplyae)

: That the memory usage grows exponentially does not tell you anything about
: the processes themselves. There are plenty of algorithms that solve
: problems that are exponential in time or space, but what they're actually
: capable of /doing/ only increases by a small amount each time you allow it
: to consume more resources.

True. I was merely pointing out that the growth is exponential.

The processes themselves (in this case, Durandal) would react differently depending on many things. Judging by Leela's comment, Durandal's growth into* the systems of the Marathon had side-effects of which Leela was not fond.

: Furthermore, that a particular part of the program increases exponentially in
: space doesn't mean that the rest of the program has anything to do with
: it. There are a lot of reasons why giving the definition of exponential
: growth might not be a worthwhile post, which was the original reason I
: said anything.

Also true. In the case of these AIs they are simply stated as "growing". What this means is open to some interpretation. I took it to mean the overall expanse of the AI, along with its general intelligence**.

There may be reasons why mentioning the subject of exponential growth is not useful, but all it takes is one good reason why it would be useful to justify the post. Since the terminals explicitly use the terms "exponential" and "growth", looking up the definition of exponential growth is relevant. Just because you know it already does not mean someone else does not.

: I love math discussion as much as the next guy, but I think we should avoid
: using phrases like "A, and this means B" when A and B aren't
: necessarily related at all.

I did not mean to jump to conclusions. I was simply showing a hypothetical example. The reason for it was mostly because I was curious and decided to crunch a few numbers.

Obviously we cannot know the exact rate of growth (I think this was Document's point), but there are ways to find rough estimates. The end point was to simply show that a rampant AI can grow extremely quickly.

: Also, come to think of it, there's more here. For instance, what the
: scientists saw could have been logarithmic, which behaves exponentially
: and then tapers off to a carrying capacity. Most likely it was none of
: the above (as any diff eq. student can tell you), because actual
: applications very rarely have closed forms for resource consumption, and
: in 95% of cases the phrase "exponential growth" isn't really a
: tight upper bound.

True. Actually, this is a good discussion... lab testing on rampancy has been limited. Am I not correct in remembering a theory that Strauss' plan for Tau Ceti was to test Durandal on a planet-scale network?

In any case, the network on the UESC Marathon would have been small enough to cause Durandal some growth pains, which is why Leela was getting annoyed.

: Durandal was on the Marathon for a couple hundred years (iirc). You can come
: up with numbers that reflect that statistic, but that doesn't make them
: mean anything. I can come up with a linear curve and say 'haha exponential
: growth sure does dominate this', but that doesn't make it at all correct,
: or even close to correct.

True. I was not trying to guess at how long Durandal would need to take over the Marathon. I was simply demonstrating how exponential growth may relate in regards to rampancy.

: I guess my real point is that we don't know enough about Marathon to do any
: meaningful math here (where "here" means "concerning this
: particular area of the story").

I completely agree. I was just throwing numbers out so people would have a little something to think about and to demonstrate that Durandal's growth was probably very sudden from Leela's perspective.

* Growth, in terms of Marathon AI, can include infiltrating other systems. This is mentioned in the account of Traxus and is reinforced by Leela's comment about Durandal's growth.
** This is supported (however loosely) by the terminal on rampancy.

[ Post a Reply | Message Index | Read Prev Msg | Read Next Msg ]
Pre-2004 Posts

Replies:

Cybertonics, AIs, and fundamental issuesJ-M 4/2/05 1:37 p.m.
     Re: Cybertonics, AIs, and fundamental issues *NM*J-M 4/2/05 1:37 p.m.
     Re: Cybertonics, AIs, and fundamental issuesJ-M 4/2/05 1:38 p.m.
           Re: Cybertonics, AIs, and fundamental issuesBob-B-Q 4/2/05 2:29 p.m.
     Re: Cybertonics, AIs, and fundamental issuesduality 4/2/05 8:20 p.m.
           Re: Cybertonics, AIs, and fundamental issuesJ-M 4/3/05 7:03 a.m.
     They also have a forced localityMrHen 4/3/05 8:52 a.m.
           Does seem that way.J-M 4/3/05 10:33 a.m.
                 Continuityhowekern 4/3/05 4:22 p.m.
                       Re: ContinuityJ-M 4/3/05 8:45 p.m.
                             Re: Continuityhowekern 4/5/05 3:31 p.m.
                                   Copied identitiesMrHen 4/5/05 6:44 p.m.
                                         Continuity againForrest of B.org 4/5/05 7:29 p.m.
           Re: They also have a forced localityChlazza 4/3/05 10:55 a.m.
                 Interesting.J-M 4/3/05 1:01 p.m.
                       Re: Interesting.Chlazza 4/3/05 2:45 p.m.
                             Re: Interesting.J-M 4/3/05 3:19 p.m.
                                   Copied peopleMrHen 4/3/05 5:37 p.m.
                             Re: Interesting.thermoplyae 4/3/05 6:45 p.m.
                                   Re: Interesting.J-M 4/3/05 8:49 p.m.
                                         At least twiceMrHen 4/4/05 5:34 a.m.
                                               Google just shows those two. *NM*MrHen 4/4/05 5:57 a.m.
                                         Re: Interesting.thermoplyae 4/6/05 11:41 a.m.
                       Re: Interesting.Chaemera 4/3/05 8:17 p.m.
                       modern AIsJosh M. 4/13/05 7:53 p.m.
                             daisy daisy.... *NM*duality 4/13/05 9:04 p.m.
                       Re: Interesting.Document 10/24/06 7:53 a.m.
                             copying neural networks?MrHen 10/24/06 4:45 p.m.
           Re: They also have a forced localityhowekern 4/5/05 4:03 p.m.
                 Re: They also have a forced localityblake37 4/5/05 4:25 p.m.
                 Yow... and I agree.MrHen 4/5/05 7:12 p.m.
                 Re: They also have a forced localityJ-M 4/6/05 1:56 a.m.
                 Re: They also have a forced localitySteve Levinson 4/6/05 7:44 a.m.
                       Re: They also have a forced localityJ-M 4/6/05 5:50 p.m.
                 Re: They also have a forced localityMrHen 10/24/06 5:54 p.m.
                       Re: They also have a forced localityForrest of B.org 10/24/06 6:29 p.m.
                             Where is Leela's last message?MrHen 10/25/06 5:01 a.m.
                             Re: They also have a forced localityDocument 10/25/06 9:50 a.m.
                                   they spelled it wrong... *NM*MrHen 10/25/06 10:18 a.m.
                       Re: They also have a forced localityDocument 10/24/06 8:23 p.m.
                             Re: They also have a forced localityukimalefu 10/24/06 8:53 p.m.
                                   Re: They also have a forced localitythermoplyae 10/24/06 10:49 p.m.
                                         what?MrHen 10/25/06 5:21 a.m.
                                               Re: what?thermoplyae 10/25/06 7:29 a.m.
                                                     misunderstandings... :PMrHen 10/25/06 8:45 a.m.
                                                           Re: misunderstandings... :PDocument 10/25/06 9:52 a.m.
                                                                 thanks! you rock...MrHen 10/25/06 10:19 a.m.
                                                           Re: misunderstandings... :Pthermoplyae 10/25/06 11:57 a.m.
                                                                 oh, got itMrHen 10/25/06 12:59 p.m.
                                                                       Re: oh, got itthermoplyae 10/25/06 1:26 p.m.
                                                                             #alephone, eh?MrHen 10/25/06 8:30 p.m.
                                                                                   Re: #alephone, eh?thermoplyae 10/25/06 11:17 p.m.
                                                                 Rampancy and Exponentiatial GrowthForrest of B.org 10/25/06 4:15 p.m.
                                                                       Re: Rampancy and Exponentiatial Growththermoplyae 10/25/06 11:14 p.m.
                             More numbersMrHen 10/25/06 5:18 a.m.
           AIs as "Ghosts in the machine"ForceMorph 4/8/05 6:16 p.m.
                 Re: AIs as "Ghosts in the machine"Forrest of B.org 4/8/05 8:05 p.m.
                       Shades of Mamoru Oshii... *NM*Bob-B-Q 4/9/05 5:56 a.m.
           Re: "a planetary sized network"Document 10/25/06 4:51 p.m.
     My likely-nonsense theoryhowekern 4/3/05 4:10 p.m.
           Re: My likely-nonsense theoryChaemera 4/3/05 8:28 p.m.
                 Re: My likely-nonsense theoryJ-M 4/3/05 8:45 p.m.
                       Durandal has you! *NM*ukimalefu 4/3/05 10:06 p.m.
                             Re: Durandal has you!J-M 4/3/05 10:18 p.m.
                       Re: My likely-nonsense theoryMrHen 4/4/05 5:47 a.m.
                             Re: My likely-nonsense theorySteve Levinson 4/4/05 12:19 p.m.
     Stages of Rampancy in Human PsychologyForrest of B.org 4/3/05 10:20 p.m.
           Re: Stages of Rampancy in Human PsychologyForrest of B.org 4/3/05 10:22 p.m.
                 Re: Stages of Rampancy in Human PsychologyMrHen 4/4/05 5:55 a.m.
                 Re: Stages of Rampancy in Human PsychologyDocument 11/1/06 9:31 a.m.
     Re: Cybertonics, AIs, and fundamental issuesJ-M 4/6/05 5:55 p.m.
           Re: Cybertonics, AIs, and fundamental issuesForrest of B.org 4/7/05 8:34 a.m.
                 Re: Cybertonics, AIs, and fundamental issuesJ-M 4/7/05 4:37 p.m.
                       Re: Cybertonics, AIs, and fundamental issuesForrest of B.org 4/7/05 5:10 p.m.
                             Re: Cybertonics, AIs, and fundamental issuesJ-M 4/8/05 1:41 a.m.
                                   Re: Cybertonics, AIs, and fundamental issuesSteve Levinson 4/8/05 8:29 a.m.
                                         Re: Cybertonics, AIs, and fundamental issuesduality 4/11/05 1:57 p.m.
                                               Doesn't account for the world reset.MrHen 4/13/05 5:40 a.m.
                                                     Re: Doesn't account for the world reset.Andrew Nagy (mb) 4/13/05 10:48 a.m.
                                                           Re: Doesn't account for the world reset.howekern 4/13/05 4:39 p.m.
                                                                 Re: Doesn't account for the world reset.ukimalefu 4/14/05 12:52 p.m.
                                                                 Yeah, but that's boringMrHen 4/15/05 8:03 a.m.
                                   Re: Cybertonics, AIs, and fundamental issuesForrest of B.org 4/11/05 3:11 p.m.
                                         Re: Cybertonics, AIs, and fundamental issuesJ-M 4/11/05 3:42 p.m.
                                               Re: Cybertonics, AIs, and fundamental issuesDocument 10/24/06 8:49 a.m.
                                                     Re: Cybertonics, The Autonomy of an AIAlexZander 10/30/06 2:35 p.m.

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