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{{Infobox scientist
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'''Marcus Hutter''' (born 1967) is a German computer scientist and professor at the [[Australian National University]].  Hutter was born and educated in [[Munich]], where he studied [[physics]] and [[computer science]] at the [[Technical University of Munich]]. In 2000 he joined [[Jürgen Schmidhuber]]'s group at the Swiss [[Artificial Intelligence]] lab [[IDSIA]], where he developed the first mathematical theory of optimal Universal Artificial Intelligence, based on [[Kolmogorov complexity]] and  [[Ray Solomonoff]]'s theory of universal [[inductive inference]]. In 2006 he also accepted a professorship at the Australian National University in [[Canberra]].
 
Hutter's notion of universal AI describes the optimal strategy of an agent  that wants to maximize its future expected reward in some unknown dynamic environment, up to some fixed future horizon. This is the general [[reinforcement learning]] problem. Solomonoff/Hutter's only assumption is that the reactions of the environment in response to the agent's actions follow some unknown but [[Computability theory (computer science)|computable]] [[probability distribution]].
 
== Universal artificial intelligence (AIXI)==
Hutter uses Solomonoff's [[inductive inference]] as a mathematical formalization of Occam's razor.<ref>{{cite journal |author=Hutter, M. |title=On the existence and convergence of computable universal priors |journal=Algorithmic Learning Theory |volume=2842 |pages=298–312 |year=2003 |doi=10.1007/978-3-540-39624-6_24 |url=http://www.springerlink.com/content/9frc0g6kpn73ma46/ |arxiv=cs/0305052 |series=Lecture Notes in Computer Science |isbn=978-3-540-20291-2}}</ref> Hutter adds to this formalization the expected value of an action:  shorter ([[Kolmogorov complexity]]) computable theories have more weight when calculating the [[expected value]] of an action across all computable theories which perfectly describe previous observations.<ref>{{harvnb|Hutter|2004}}</ref>
 
At any time, given the limited observation sequence so far, what is the [[Bayes estimator|Bayes-optimal]] way of selecting the next action? Hutter proved that the answer is to use Solomonoff's universal [[prior distribution|prior]] to predict the probability of each possible future, and execute the first action of the best policy <ref>{{cite web |author=Hutter, M. |title=Principles of Solomonoff induction and AIXI |format=PDF |url=http://www.hutter1.net/publ/aixiaxiom2.pdf}}</ref> (a policy is any program that will output all the next actions and input all the next perceptions up to the horizon). A policy is the best if, on a weighted average of all the possible futures, it will maximize the predicted reward up to the horizon. He called this universal algorithm AIXI.
 
This is mainly a theoretical result. To overcome the problem that Solomonoff's prior is incomputable, in 2002 Hutter also published an [[asymptote|asymptotically]] fastest algorithm for all well-defined problems. Given some formal description of a problem class, the algorithm systematically generates all [[Mathematical proof|proofs]] in a sufficiently powerful [[axiomatic system]] that allows for proving time [[Upper and lower bounds|bounds]] of solution-computing programs. Simultaneously, whenever a proof has been found that shows that a particular program has a better time bound than the previous best, a clever resource allocation scheme will assign most of the remaining search time to this program. Hutter showed that his method is essentially as fast as the unknown fastest program for solving problems from the given class, save for an additive [[Constant (mathematics)|constant]] independent of the problem instance. For example, if the problem size is <math>n</math>, and there exists an initially unknown program that solves any problem in the class within <math>n^7</math> computational steps, then Hutter's method will solve it within <math>5n^7 + O(1)</math> steps. The additive constant hidden in the [[Big O notation|<math>O()</math> notation]] may be large enough to render the algorithm practically infeasible despite its useful theoretical properties.
 
Several algorithms approximate AIXI to make usable on a modern computer. The more computing power they are given, the more they behave like AIXI (their [[limit (math)|limit]] is AIXI).<ref>{{cite arXiv |last1=Veness |first1=Joel |author2=Kee Siong Ng |last3=Hutter |first3=Marcus |last4=Uther |first4=William  |last5=Silver |first5=David  |eprint=0909.0801 |title=A Monte Carlo AIXI Approximation |year=2009 |class=cs.AI}}</ref><ref>{{cite journal |last1=Veness |first1=Joel |author2=Kee Siong Ng |last3=Hutter |first3=Marcus |last4=Silver |first4=David |arxiv=1007.2049v1 |title=Reinforcement Learning via AIXI Approximation |year=2010 |journal=Proc. 24th AAAI Conference on Artificial Intelligence (AAAI 2010) |pages=605–611 }}</ref><ref>{{cite book |last=Pankov |first=S. |chapter=A computational approximation to the AIXI model |chapterurl=http://books.google.com/books?id=a_ZR81Z25z0C&pg=PA258 |editor=Pei Wang |title=Artificial General Intelligence, 2008: Proceedings of the First AGI Conference |url=http://books.google.com/books?id=a_ZR81Z25z0C |year=2008 |publisher=IOS Press |isbn=978-1-58603-833-5|pages=256–267}}</ref>
 
==Hutter Prize for Lossless Compression of Human Knowledge==
On August 6, 2006, Hutter announced the '''[[Hutter Prize]] for Lossless Compression of Human Knowledge''' with an initial purse of 50,000 Euros, the intent of which is to encourage the advancement of [[artificial intelligence]] through the exploitation of Hutter's theory of optimal universal artificial intelligence.
 
==Partial bibliography==
*{{cite book |first=Marcus |last=Hutter |title=Universal Artificial Intelligence: Sequential Decisions Based on Algorithmic Probability |url=http://books.google.com/books?id=NP53iZGt4KUC |date=2004 |publisher=Springer |isbn=978-3-540-22139-5 |ref=harv |authormask=1}}
*{{cite journal |first=Marcus |last=Hutter |title=On generalized computable universal priors and their convergence |journal=Theoretical Computer Science |volume=364 |issue=1 |pages=27–41 |year=2006 |doi=10.1016/j.tcs.2006.07.039 |url=http://www.sciencedirect.com/science/article/pii/S0304397506004889 |authormask=1}}
*{{cite journal |first=Marcus |last=Hutter |title=Optimality of Universal Bayesian Sequence Prediction for General Loss and Alphabet |journal=Journal of Machine Learning Research |volume=4 |pages=971–1000 |year=2003 |url=http://www.jmlr.org/papers/volume4/hutter03a/hutter03a.pdf |format=PDF |authormask=1}}
*{{cite journal |first=Marcus |last=Hutter |title=The Fastest and Shortest Algorithm for All Well-Defined Problems |journal=International Journal of Foundations of Computer Science |volume=13 |issue=3 |pages=431–443 |year=2002 |authormask=1 |doi=10.1142/S0129054102001199}}
 
==References==
{{Reflist}}
 
==External links==
*[http://www.idsia.ch/~marcus/official/index.htm Home page]
*[http://prize.hutter1.net Hutter Prize for Lossless Compression of Human Knowledge]
*[http://www.vimeo.com/7321732 Video of Marcus Hutter's conference at Singularity Summit 2009 — Foundations of Intelligent Agents]
{{Authority control |VIAF=67174976 |LCCN=nb/2004/309647}}
<!-- Metadata: see [[Wikipedia:Persondata]] -->
{{Persondata
|NAME= Hutter, Marcus
|ALTERNATIVE NAMES=
|SHORT DESCRIPTION=Computer scientist
|DATE OF BIRTH=1967
|PLACE OF BIRTH=
|DATE OF DEATH=
|PLACE OF DEATH=
}}
{{DEFAULTSORT:Hutter, Marcus}}
[[Category:1967 births]]
[[Category:Living people]]
[[Category:Machine learning researchers]]
[[Category:German computer scientists]]
[[Category:Australian academics]]
[[Category:Technical University Munich alumni]]
[[Category:Australian National University faculty]]

Revision as of 22:15, 10 September 2013

Template:Infobox scientist Marcus Hutter (born 1967) is a German computer scientist and professor at the Australian National University. Hutter was born and educated in Munich, where he studied physics and computer science at the Technical University of Munich. In 2000 he joined Jürgen Schmidhuber's group at the Swiss Artificial Intelligence lab IDSIA, where he developed the first mathematical theory of optimal Universal Artificial Intelligence, based on Kolmogorov complexity and Ray Solomonoff's theory of universal inductive inference. In 2006 he also accepted a professorship at the Australian National University in Canberra.

Hutter's notion of universal AI describes the optimal strategy of an agent that wants to maximize its future expected reward in some unknown dynamic environment, up to some fixed future horizon. This is the general reinforcement learning problem. Solomonoff/Hutter's only assumption is that the reactions of the environment in response to the agent's actions follow some unknown but computable probability distribution.

Universal artificial intelligence (AIXI)

Hutter uses Solomonoff's inductive inference as a mathematical formalization of Occam's razor.[1] Hutter adds to this formalization the expected value of an action: shorter (Kolmogorov complexity) computable theories have more weight when calculating the expected value of an action across all computable theories which perfectly describe previous observations.[2]

At any time, given the limited observation sequence so far, what is the Bayes-optimal way of selecting the next action? Hutter proved that the answer is to use Solomonoff's universal prior to predict the probability of each possible future, and execute the first action of the best policy [3] (a policy is any program that will output all the next actions and input all the next perceptions up to the horizon). A policy is the best if, on a weighted average of all the possible futures, it will maximize the predicted reward up to the horizon. He called this universal algorithm AIXI.

This is mainly a theoretical result. To overcome the problem that Solomonoff's prior is incomputable, in 2002 Hutter also published an asymptotically fastest algorithm for all well-defined problems. Given some formal description of a problem class, the algorithm systematically generates all proofs in a sufficiently powerful axiomatic system that allows for proving time bounds of solution-computing programs. Simultaneously, whenever a proof has been found that shows that a particular program has a better time bound than the previous best, a clever resource allocation scheme will assign most of the remaining search time to this program. Hutter showed that his method is essentially as fast as the unknown fastest program for solving problems from the given class, save for an additive constant independent of the problem instance. For example, if the problem size is n, and there exists an initially unknown program that solves any problem in the class within n7 computational steps, then Hutter's method will solve it within 5n7+O(1) steps. The additive constant hidden in the O() notation may be large enough to render the algorithm practically infeasible despite its useful theoretical properties.

Several algorithms approximate AIXI to make usable on a modern computer. The more computing power they are given, the more they behave like AIXI (their limit is AIXI).[4][5][6]

Hutter Prize for Lossless Compression of Human Knowledge

On August 6, 2006, Hutter announced the Hutter Prize for Lossless Compression of Human Knowledge with an initial purse of 50,000 Euros, the intent of which is to encourage the advancement of artificial intelligence through the exploitation of Hutter's theory of optimal universal artificial intelligence.

Partial bibliography

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    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

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References

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External links

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    In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

    Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

    Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

    A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

    There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang
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  5. One of the biggest reasons investing in a Singapore new launch is an effective things is as a result of it is doable to be lent massive quantities of money at very low interest rates that you should utilize to purchase it. Then, if property values continue to go up, then you'll get a really high return on funding (ROI). Simply make sure you purchase one of the higher properties, reminiscent of the ones at Fernvale the Riverbank or any Singapore landed property Get Earnings by means of Renting

    In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

    Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

    Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

    A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

    There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang
  6. 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.

    My blog: http://www.primaboinca.com/view_profile.php?userid=5889534