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Other versions will cause V(s) conversion to be *(s). In synchronized updates, it makes them just a tiny little bit faster [inaudible] and then it turns out the analysis of value iterations synchronous updates are also easier to analyze and that just matters [inaudible]. Asynchronous has been just a little bit faster.

So when you run this algorithm on the MDP – I forgot to say all these values were computed with gamma equals open 99 and actually, Roger Gross, who’s a, I guess, master [inaudible] helped me with computing some of these numbers. So you compute it. That way you run value relation on this MDP. The numbers you get for V* are as follows: .86, .90 – again, the numbers sort of don’t matter that much, but just take a look at it and make sure it intuitively makes sense.

And then when you plug those in to the formula for computing, that I wrote down earlier, for computing p* as a function of V*, then – well, I drew this previously, but here’s the optimal policy p*.

And so, just to summarize, the process is run value iteration to compute V*, so this would be this table of numbers, and then I use my form of p* to compute the optimal policy, which is this policy in this case.

Now, to be just completely concrete, let’s look at that free one state again. Is it better to go left or is it better to go north? So let me just illustrate why I’d rather go left than north. In the form of the p*, if I go west, then sum over s prime, P(s, a) s prime, P*(sp), this would be – well, let me just write this down. Right, if I go north, then it would be because of that. I wrote it down really quickly, so it’s messy writing. The way I got these numbers is suppose I’m in this state, in this free one state. If I choose to go west and with chance .8, I get to .75 – to this table -- .75. With chance .1, I veer off and get to the .69, then at chance .1, I go south and I bounce off the wall and I stay where I am.

So that’s why my expected future payoff for going west is .8 times .75, plus .1 times .69, plus .1 times .71, the last .71 being if I bounce off the wall to the south and then seeing where I am, that gives you .740.

You can then repeat the same process to estimate your expected total payoff if you go north, so if you do that, with a .8 chance, you end up going north, so you get .69. With a .1 chance, you end up here and .1 chance you end up there. This map leads mentally to that expression and compute the expectation, you get .676. And so your total payoff is higher if you go west – your expected total payoff is higher if you go west than if you go north. And that’s why the optimal action in this state is to go west.

So that was value iteration. It turns out there are two sort of standard algorithms for computing optimal policies in MDPs. Value iteration is one. As soon as you finish the writing. So value iteration is one and the other sort of standard algorithm for computing optimal policies in MDPs is called policy iteration. And let me – I’m just going to write this down.

Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
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Source:  OpenStax, Machine learning. OpenStax CNX. Oct 14, 2013 Download for free at http://cnx.org/content/col11500/1.4
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