Open in TheBrain

Marcus Hutter

<p>May 25, 2011 09:20 PM

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&#160;&#160;&#160;&#160;Marcus Hutter Universal AI &#160;now at Canberra Univ.

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goal: &#160;construct a single universal agent that learns to act optimally in any environment.

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reduces &#160;AI to a "pure" comput problem

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What is AI" &#160;creativity, reasoning, assoc, generalization, pattern recog, problem solving,

memorization, planning, achieving goals, learning, optimiz, self-preservation, vision, langu processing,

classif, induct, deduct... etc.

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What is AI? &#160;collection of 70+ defs of intelligence &#160;at

www.vetta.org/definitions-of-intelligence/

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real world is nasty: &#160;uncertain, partly unobserable &#160;etc.

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Intelligence measures an agent's ability to achieve goals in a wide range of environments

S. Legg and M. Hutter.

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Induction -&#62; prediction -&#62; decision -&#62; action

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induction: &#160;find model of world economy

prediction: &#160;use model to predict future stock mkt

decision: &#160;whether to invest in stocks or bonds

actions: &#160;&#160;trading large quantities of stocks influences the mkt.

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Science: &#160;Induction = Occam's Razor

H1 &#160;all emeralds are green &#160;&#160;simplest hypothesis

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info theory and kolmogorov complexity

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shortest description of object is best explanation &#160;(eg smallest Turing program);

shortest program for a string on a Turing machine T;

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Bayesian prb theory: &#160;goal is to get posterior prob &#160;P(Hi given D) of Hi after having seen data D.

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Epicurus: &#160;if more than one theory is consistent with the observations, then keep all thoeries.

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how to deal with this....

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assign &#160;high prob to simple hypotheses in inverse proportion to (log of) length.

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Ray Solomonoff: &#160;died last year.... &#160;born in 1926...

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Solomonoff. combined Occam, Epicurus, Bayes, etc.

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seq decn theory: &#160;minimize expected loss (or max expected gain)

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greedy maximizaiton: &#160;&#160;short-term max &#160;(take pawn with Q then lose Q);

NO... must maximize &#160;gain over life-time of agent.

choice of horizon.

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AIXI &#160;model in one line: &#160;CLIMAX... most intellig agent in the universe in one line!!!!

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action, reward, observation, &#160;Universal TM= turing machine

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k = number of cycles &#160;a &#160;= action kth; &#160;&#160;r = observations

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must take expectation with respect to unknown universal distribution.

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weighted average of all models &#160;(complex models get small prob; simple models get large prob)

must sum overunobserved future probabilities.

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agent performs action, makes observations, &#160;gets rewards or sustains losses; &#160;reformulates actions;

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implementation difficult; &#160;its not computable;

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Levin search: &#160;Jurgen Schmidhuber &#160;did Levin search... did implement on a normal pc;

maze, towers of hanoi, robotics;

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compress 100mb of wikipedia... related to intelligence;

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criticisms: &#160;AIXI &#160;is obviously right or obviously wrong...

No-free-lunch &#160;theorem.... &#160;means cannot estiamte a random function

(but world HAS structure);

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bridge the gap btn Universal AI theory anbd AI practice... go beyond tic tac toe

better to raise &#160;AIXI (pron IKE see) to believe in hell ... so it continues to live.

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self-maintenance &#160;(battery life, oil for a robot)...

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must measure intelligence relative to a certain goal... &#160;&#160;what are the worthwhile goals;

intelligence is only relevant to goals &#160;MUST specify goals...

we want a system that &#160;seeks or solves human specified goals;

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