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Studying Intelligence Thru Entropy?

An Anonymous Coward asks: "Given that entropy is the measure of order or disorder. Given that any force that changes the entropy of any system in a predictable way is an 'intelligent' force. Is it true that the study of HOW entropy changes in any given system is the study of intelligence itself, in that given system? I is it true that producing systems whose sole purpose it is to capture and synthesise changes in entropy is the production of intelligent systems?"

"A case in point. Neural networks are weighted switches. They store their 'weights' in the neuron. The storage of these weights determines the networks ability to perform an intellectual task. Therefore studying the 'entropy' of these weights and what and how they change and the effects of these changes is to study the networks 'intelligence' directly?

Another case in point. Genetic algorithms can search a solution landscape and then select the 'best' solution as a seed to the next iteration. This 'best current solution' will have an entropy or measure of order or disorder. So, in these terms, the system is measuring the level of chaos in the system according to some rules and selecting the solution that produces the least chaos (most entropy)

Is this striking any cords with anyone?"

6 of 35 comments (clear)

  1. Entropy and information by algaeman · · Score: 3, Insightful

    Negative changes in entropy are information, not necessarily intelligence. Intelligence has connotations that information does not. Therefore, while several tons of algae are able to produce more information (by converting CO2, H2O and energy into carbohydrates) than a similar mass of humans, I suspect that the humans possess more intelligence. I think in order to have an intelligent discussion on the subject, an effective definition of intelligence would be needed. Not being a cognitive psychologist, I'll leave that to the experts and go on growing tons of algae.

  2. Information "entropy" is not entropy. by kmellis · · Score: 3, Interesting

    Entropy is a measurement of a microcosmic physical property. The generalized idea of "disorder" that led to the idea of information entropy is related but seperate.

    This is important because it is a pernicious error to conflate the two, an error which often results in false conclusions about thermodynamics and the macrocosmic world.

    1. Re:Information "entropy" is not entropy. by grammar+nazi · · Score: 4, Informative
      I wouldn't be the grammar nazi if I didn't take point out that: "Is this striking any cords with anyone?" (line from original story) is incorrect. The proper homonym is chord, not cord; "to strike a chord"

      The first paragraph makes the following hypothesis: "...the study of HOW entropy changes in any given system is the study of intelligence itself...?" That seems to be the main question in this ask slashdot.

      In the second paragraph, he shows us how little he knows about neural networks (or grammar). It is not the storage of the weights in a neural network that determines the networks "intellectual" ability, but rather the value of the weights (I would argue it's the training method, network structure, rather than the actual weights). Furthermore, this sentence about the storage of the weights does not lead to the next sentence: "Therefore, studying the "entropy" of these weights... is to study intelligence". One point does not imply the other point. I'm not sure what he/she is trying to say here. As a side point, there is little entropy to the neural network nodes anyways. Similar networks, performing similar but different functions, have similar node weights (I know this from working developing an OCR system for 2 years at Lockheed Martin).

      The author's third paragraph is to study the entropic nature of Genetic Algorithms. However, the entropy derived in each generation of a genetic algorithm is directly derived from a random number generator. All GA entropy is derived from randomness in the selection. To study each generation is equivalent to studying random number generation, nothing more.

      Finally, I wouldn't be doing my Mathematics degree justice if I didn't point out that CHAOS IS NOT ENTROPY. Chaos is marked by having a complicated, seemingly random, system described by a simple structure or order (Period 3 implies Chaos, York, Lee, et al). Entropy is a random system having NO simple structure or order.

      Does the original author still have a valid question? Probably. Little understanding of intelligence is to be gained from studying randomness and entropy in GAs and Neural Networks. Perhaps, the time would be better spent studying entropy XOR GAs and NNs. Or learning a little bit more about any of these things and then reposing the question.

      --

      Keeping /. free of grammatical errors for ~5 years.
  3. Assumptions by Incongruity · · Score: 3, Interesting
    Given that any force that changes the entropy of any system in a predictable way is an 'intelligent' force.

    Well, my first thought is that just because something is changed in a manner that is able to be predicted, *does not* mean that you (or anyone else) will be able to predict it. This is very similar to the halting problem (see also Turing machines), in basic computing theory. How do you know if you can't predict the behavior (ie it's truly random) or just that you haven't found the correct functional description yet?

    My second thought is that your first premise, as stated above, can be taken in (at least) two ways, a strong sense and a trivial sense. First, the trivial sense: you're simply labeling anything that can predictably change the entropy of a system as intelligent. simple, and actually setting yourself up for a nice, simple tautology of equivillences. The strong sense: Intelligence is *required* to change the entropy of a system in a predictable way. This then requires a definition of what you mean by intelligence and I somehow don't think that this strong sense is what you mean. So, it's the trival case you're interested in (that is to say that you've defined intelligence for us).

    Is it true that the study of HOW entropy changes in any given system is the study of intelligence itself, in that given system?

    Inasmuch as the "how" really gets at the "what" (or that they're intimately connected, see Aristotle's 4 causes, covered well at everything2).

    The real issue though, is that you seem to be trying to accurately describe/define intelligence but do not do a good enough job accounting for the common usage of the word to be anything more than either putting forth a simple tautological statement or you are failing to accomplish your goal in an effective or substantial way...but that's just my simple opinion.

    -inco

  4. Nah. by Black+Parrot · · Score: 4, Insightful


    > Given that any force that changes the entropy of any system in a predictable way is an 'intelligent' force.

    The second law of thermodynamics is pretty predictable, but it has nothing to do with intelligence. Unless you consider randomly colliding molecules to be functionally intelligent.

    No flame intended, but have you by any chance been listening to the proponents of "intelligent design theory", the latest reincarnation of creation 'science'?

    > A case in point. Neural networks are weighted switches. They store their 'weights' in the neuron. The storage of these weights determines the networks ability to perform an intellectual task. Therefore studying the 'entropy' of these weights and what and how they change and the effects of these changes is to study the networks 'intelligence' directly?

    You seem to be confusing the training of the network with its operations after it has been trained.

    > Another case in point. Genetic algorithms can search a solution landscape and then select the 'best' solution as a seed to the next iteration. This 'best current solution' will have an entropy or measure of order or disorder. So, in these terms, the system is measuring the level of chaos in the system according to some rules and selecting the solution that produces the least chaos (most entropy)

    Actually, depending what problem the GA is working working on and what exactly you measure for the entropy calculations, the entropy may either increase or decrease as it progresses. (I know this for a fact, because I've done it.)

    > Is this striking any cords with anyone?

    Yeah, the same kind Lister strikes when he plays his guitar on Red Dwarf.

    There is certainly room for applications of entropy to the study of these things, but you don't seem to be off to a good start. For some basic applications of information theory to neural networks, see Haykin's textbook. There's surely lots more literature out there, if you care to track it down.

    --
    Sheesh, evil *and* a jerk. -- Jade
  5. Re:Information by Perdo · · Score: 3, Interesting

    Get back on the hi-speed bitumen crack....

    If you tell me an idea, have you lost anything?

    you can tell a billion people without losing it yourself.

    If you give me your sandwitch, you go hungry.

    Your sandwitch will not feed a billion people.

    The information itself is not governed by the laws of physics.

    Information is independent of energy.

    Could it be ANY simpler for you?

    --

    If voting were effective, it would be illegal by now.