Let me start with my country and the all need clean water to drink this picture here shows the support by the distribution network really interesting what it taught us the content of gets into this network to an accident of this activity this continues you could spread it we're trying to affect a large part of this network and cause them to population to event that you may be interested in applying sensors in this network such a successful in the right here which allows us to tap these continuations reactivity prevent heart. I think their senses are very expensive and with limited budget the have to decide if we should place those accessible to achieve as much protection. Instead of deploying sensors. We're also interested in the using more sensors to explore the environment for example we've been working with a ninety percent scientists on the autonomous an environmental monitoring for example monitoring water quality takes in order to be able to do that you need to be able to monitor large spatial anomalous just temperature distribution and fluorescence and one of the two that is used by the sciences. That is in these robotic part of the city with the sensor to try to figure out for example figure out what is the temperature in the vertical slice taken through the slick you don't totally every measurement take some time and also take some time for the size of the child between these locations and a limited amount of time you can only get a small amount of observations. The question is from the from those who would have been to make predictions of what the temperature is at the kitchens we don't know missions and a question as well as she says in order to get the most accurate picture. So these are the kitchens where you wish to censor the knowledge you learned something about. Well also going to talk about implications in the social networks and with the advent of last year like that word such as Facebook and Twitter and so on. If people gain new insights about its host site work feels like functions. And if you look if you want to do that need to be able to understand structural properties of these large social networks. So for example this shows a network deferred from the information public. If you are going to talk about later this tutorial and if he has a better word. You may ask. Well it's not one of maybe the most informal influential knows it's not the highest however there is the impact in spreading information across. So the system of education and how these and any others require solving this we don't miss it and turns out that many of those can be formulated exactly the way that young mentioned in the site authority in the previous talk and it can be used to the problems of maximizing SAP functions start with a finite set this could be location to place our sensors we can make measurements of the mobile sensors but also in the start of this information diffusion that work and yet you should list so that small subset of those dots. Maximize something to the function and still seems to trivial many of those utility functions actually turned out to be so much because of the problems that are going to talk about things such as the result. So the first part of the story. I'm going to talk about at the kitchen smart maximization inside the right words to a targeted level of objective functions arising in those domains that talk about optimization problems by particular what kind of constraints rise to those occasions and result that they got the algorithms that can be used in order to solve those problems even though I want to focus on the algorithms because you already have heard quite that although in the previous part and you hear a lot more about how it was in the other parts of this writer true then I'd like to show off some of those I wouldn't really write very strong columns on just going to the first half. The story will and in the second part of the Tory are going to talk about an interesting connection with the smart musician and she learned in looking at problems that the on the power problem insisted even through data and to be able to sort out the opposition problems. Based on top of that they've learned about decision told Time. So let's start with a very simple projections talk about sense of placement and just cut to a picture. Maybe you want to place a bunch of sensors in to believe in order to monitor temperature for example there's a fire at one recently or formalizing the problem would be to see that maybe the sensors tell you something about the temperature of the video perfectly predicts what the temperature is in a certain summaries of the Hi dear. Hold on to us or anything outside that range. If I needed something then if I wish to a place I could fall that's a problem in that if we met by this replacing the environment. I have said the apartment key for inspection protection place the sensors and sensor placement simply a subset of the patients and the value or bodies of those locations to start the total area covered and that's exactly this coverage function that I've talked about my previous OK that's one point about the function I really get something of white from his mere right. But of course that's a very very simplistic model but it seems that the second part to decide everything or alter. Nothing else for now it turns out that a lot more realistic objective functions smartness Well if you somewhat realistic model of anything about science. It may be how some statistical model that describes the phenomena that you're interested in regard to the more the temperature the different locations in this building and spread variables to the other reading variable Y. yes it look each an S. discussed temperature there and he's ready variables a car or. Example that model of our assumptions about statistical dependencies between these variables not a variable to tell which itself is what we like to infer but it's unobserved. But it one of those who gain information we can place answers. OK For example a complete sets imitation. Yes and that would give us a noisy observation excess of the temperature. OK That is one vehicle we can think about modeling sensor and if you have such a model the most you can do is you can describe our assumptions about how temperatures of them looking at this current in the different locations a lot of questions about what kind of exhibitions we're going to get if you have sensors that different locations. You can describe describe probability distribution of less probabilistic article all this has to go models are being used and I once we have such a model we can use it in order to gauge the informativeness of pain and one very actually to do that is sufficiently Asian which is a popular takes a set of the kitchens and quantify how much the observations at those locations help to reduce the ice certainty about the temperature holes. So it's a difference of two terms the first is that certainty twenty five times the challenge of the of the system usual Americans would like to affirm infer minus their residual actually yes certainty that they have left about the temperature given us additions at the locations that you have access to this is a function and this allows us to quantify how useful it is to how its missions are different locations. Right. And for example if the sped up sensors shown here to me providers. I was very I was a lot of information about the temperature anywhere but if you place a very close together. Well you have done the scene right in the missing cards and butane LOL well that's exactly the reason why similarity comes in is going to the kitchens. And it turns out our guys. I've started. This is actually part of the subject of Oculus modular so we can define family a set of variables white one through Byron he said are obsessed with lights and fur and various X. one threats are variables that can potentially looks or do you want to select sort of those variables and detect the functions just as much information but turns out that the function is always more Islamic but in some cases it's not a model. It's logs. But it turns out that if the variables starts at agency made satisfy an actual conditional independence property. Maybe the sense that indicated measurable then it turns out that this objective function is in fact the smarter function and it's not that hard to show actually so let me just start you through about three bets at the Prince. So what we can do is to form some of the list you can look at what's the marginal gain of any of your solution S. given that you're going to have made observations that said evocations and using some basic information related problems these you can write up as the difference of two terms the first term is the entropy of the measurement location just give it up submissions and locations. Right. And it turns out that is it on Mondays it actually needs a very basic information theoretic inequality. Also on call information that hurts all five of this one was it evens out yet for years and there are years. Sure I should be about this mess medication and get them out of the jam. Basically you're able noisily send it out. OK And that's just a concept independent of OK so last night I heard the monologue. I just want someone to try and subtract a concert from it and I've heard all the about makes model and since you already know that approaches are you. As my brothers. Want to talk it's OK So this is a very natural function resting a lot of those patients and if you have to start at the function you can follow that sensibly small problem was just kind of constrain organizational thoughts with much of the talking as well as the best Q.B. Asians are actually able to be right there and it turns out that this is that you have a problem for us was for a lot of the other patients guys that arise object to functions the rest of the supplications by this period seem they are good outcomes for maximizing Thomas Mucha factors particularly over the green young actually works well and that is the sort of cellular sort by the most efficient will see that it's on the safe side to take money from some of the function of the discounts in fact approximation. But it's constant practice about six years and for a lot of their objective function is the rise in these kind of sensory problems. This approximation factor is the fact the best possible for us. I cover that sort of idea at all. And fortunately she can also provide better than this but there's a lot of practice of course practical problems. Often times one gets a lot better if you guarantees. So this is some of the results of your data. So you take the temperature sensors deployed in the building. I political asylum and then what you do is B.S. actually fit a model to that later and see how much you feel to me to insist it be. I'm one of those answers and the profit shows whole commissions mission Greece. Increases it used to be out of them and it turns out it's for the problem we can actually cover the small enough to get some fresh involved in order to fire up the video a bit scary. So let me tell you all I want to take that vacation. If you actually try this. It's the politicians who people said a lot he said in cars classrooms chairs office environments but the big bill sort of tells about what they're up to for example start paying attention to the top of the top to the very hard right and recognizing closer to these could be very useful for the different occasions but if you're the driver assistance system that you want to be the area of their drivers actually drive slower but how do you get this information but you could put sensors on the chair right here is a very full size so that has a lot of the resolutions about once as a first person to me that you heard from the you can see it put the person on the chair or the pressure distributes crisis person leaning left leaning forward and slouching right. It can I guess kind of guess what the flight is different posters meters by looking at polls at those pressure mounts. OK there's a sort of a very simple values to get a pretty good gestation accuracy to say two percent on ten paces of fosters across subjects trains on subject tested other subjects so it's it's pretty obvious that it's got a problem. Unfortunately this sensor is quite expensive so cost several times not you think about putting that in the car right. Don't want to have the price tag was by several thousand dollars just to have this purchase and so or maybe get some of the iris. Monitors and say that's not a problem that you know that you could fit a promise to do this to the state or expense to try to think about where to put those sensors in order to get good actors. If you can figure out some of the sensor readings that is difficult to discern the variables and then you try to predict the poster given the sensor readings at the locations that the. Served. This would be our guest and suggest a sensor sensor and instead use a study right. And before you have percent accuracy this very very expensive sensor. About the same records for us that one. Let's see here let me go back to this water. I want to work a problem. So the studies of your sort of quite a bit. It turns out that this problem of deciding what to place at center what the distribution networks receives a lot of attention the community in fact the organize the competition about this charge and this competition. They give out and I'm on my small reading The problem here you are treading water distribution network insisting about the twelve thousand nodes and they also get all the simulator because I develop it in model Protection Agency which allows us to make predictions about where to go to initially go get started and most of the competition has started very large set of outlandishness several million of these new goals to place a start. Most of the objectives for example when it's time to detection by them maximize their predicted population using very disparate time realistic the city's models which are for coming here very quickly and you go through the distance to a place of the phone. Well. On average. This is ready to put in if you have is somewhere over the bucket and now it turns out that the leaves of a digital cell the jackpot is actually smaller the user so that here just explain what happens if you have one network and maybe just one time. It introduces one of the goals of the cycle of discrimination threats by the facts a part of this network and now what you can do is you can think of what's the benefit to write if you put on the sensor somewhere does not work right here in this case. It allows us to detect this event at this particular point in time and prevent all the shots time. Now if you have another sense of this in this network. I believe your text is going to mediation there really are the end of the Chief a lot of potential and it turns out that here you get the function which essentially is to find one of the person army bases. You can tell it is to do some are the scenario of other public intimidation spreads and if they are there ended you right in that scenario. All right all said Eat a census of the place and start with cites waterfront is just a mix of budget numbers and the overall objective is to not average just a bunch of smaller functions areas together which I'm a bit smarter had a lot of money smart a lot of pressure and if you could use the greedy out of them to optimize the fact that's just what you did he tell you what some of the results of this in this challenge. There are thirteen participants both record in your industry and the performance measure of respect to thirty different settings on the site their methods used to come out of this elections actually quite varied. So there's a lot of local search receipts genetic algorithms that can develop. I'm looking at such risks to actually start just based on the meeting all the people looking at that were saying I know a lot about what the networks here's where I'm going to put the sensors but didn't bother to about this in this particular location and steps also issues that I'm trying to appease instead of programming to actually solve this problem not me but in terms of the problems it's what works and I was so large that they wanted to solve. So they have to pick a small subset of the problem and try to optimize for that and here. Maybe you're missing the mark is the missing Mark soon as we know these are not our numbers. Yes these are numbers that the onus and source of the groups working on this proposition are before all of the sudden he made for quite a while very puzzled by this. It's really simple. We are actually we try to understand what's what happened. And so yes it is often the issue of why the thing that happened while I told you this these large number of particles in every sphere. We're going to get several billion and I'll tell you what the simulator is for you to see if the effects of each of those events and times of that is actually quite by chance more than it's actually all the other entries in the competition piece of it to be on the optimization of a small subset of those scenarios but the others. We actually went ahead just suited all of those provisions which generated a lot of data using some compression you just put it this is also very very accurately in value. It's every kind of place and it's a good value. It's very very good thing. Very precisely but it also means we have to look at sixteen gigabytes of data just about every for success. OK So let's look at the running time it's about first of all exhaustive search is hopeless and you kind of you're going to pare successors. But even if you just run the query up on just adding one sensor at a time. This is a highlight in my eyes the committee takes one and a lot of time so it takes thirty hours to place for the sensors and for all your time additional with multiple six weeks and exactly the power that long. For for instruction in terms of this is where a supporter Larry really came to the rescue and then let me just tell you this. It suggests that inside needs many factory years back it's very kind of it's like St Paul practice inside of him actually accelerated video with him and said he works like this. So one has to be out and do. Well the first iteration that calculates the marginal benefit. How much just every single bit healthier you do it for all the evidence you have right all the twelve thousand sets of look at this because then you get the best. That's what we are now the evil committee if you go ahead and do the same thing might be calculated smart looking for all its bitterness. That's right and you do that until you place it all. And that's what makes it expensive if you have to do what's right for you now or the insight that you have this that you can use more narrowly but it will get wiser the money benefits can never increase it's what you can do is you can essentially just keep an ordered list of the marginal benefits from the previous duration just sort of according to them and now if you want to find the next item if you just reevaluate the item on top of the list right. And usually diminishing marginal bettors that value is smaller than an hour about from abuse situation but it can never go right. So if it's the decreases. Well you just reinserted put it back into the scale that we look at the next element right. And if he found that either to be evaluated the marginal gain of the settlements. If it stays on top of all the other and if you could pick. Well you know that we found next to that right. It's a very simple idea but it is actually useful and side different looking to fall back to very late start. Two days instead of six years of get the benefit from the candidates objective very very accurately but it is very slow. OK So that was just a few examples of massive problems problems. There's a lot of other interesting directions for example can't cope with the serial margins can cope with more complex constraints. What about if you mean signals OK So let me talk a bit of those talking about this area is that right. So far I'm talking about placing sensors to do well on average trying to contain anything happening at random knows what to detect them as quickly as possible but if someone knows what we put our sensors right. It's just a test because it's wider knowledge in order to achieve much. And in fact if you compare those two placements here which are very different times of the average case the value of the worst case I could actually be quite right. So the question is about worst case and why we feel that it's actually and consider that objective factors of information are very definitely here happen very quickly and so our scenario of your job as a very mine but it is if you have is already here you have the right. And it's one of the worst small scale successes and it's all our problems in fact. We don't just happens to objectives but a large number of them and what not to do is to well use fault. So this can be. Very actually cast Max Middletons it probably and in the scenario each of those functions have a right this is much lower to the middle or much smarter functions its size not smaller I think the question is can you solve this guy's opposition problem here and yours is the very start. So it's a quite simple algorithm supply will actually fits in this little black box consists of two steps first guess the value of the optimal solution. Let's call it C. and then find the cheapest solution which achieves value C. with respect to all these little five. OK so now it's just conceptually about how the government works but it can actually be implemented very fishy so getting the value can be implemented using high single circuit and solving the second problem of finding a cheap solution which is she sell your beast see with respect to all these monotonic smart object functions that fight can be solved using simple real projects. These are not going to go into more detail. I was expecting is out of this very simple light yet but it actually works pretty well so what I can show. Well it's first of all just give you a solution which has value at least as high as the darkness in the group get if you have kids answers but you have to put more than he sets out to keep such as it's by perseverance and efficiency and the Southeast quality depends not really on the parts. But it turns out you can actually not get better parts Michigan some reason. Let's hear some examples of your system picking in most cases there's this Norcross mission here if you want to ever you can't even explain a few small fraction of the are more value and if you love those. All the officers. I tells of cost and you can't prove I started out OK so this is the other thing is not talking about too much to be telling me they're going to have kids so this is just a normal to want to treat the people that I mentioned to you want to be in the office of the star and so you get what you would like to do is we would like to know what is the temperature rise of the city this hour of this phenomenal right to talk to you want to figure out what's the ph value of the heart of this big into the flow charts are taken for this day but you can't or you know it's more information is using your sensor and from those you would have to predict what is there. Here's Dallas Little Pieces of You don't have an accent right. I don't know how to do this for those predictions but use problematic models like the one of the start of the beginning of this off the top right and the last to estimate it's pretty R. and B. can all ask. Well it actually says in order to me. Most are not some British or worst case picture. So I'd like to make sure that it's confidence parents are squished together experts right and the parents of the setting as I have heard all of these kind of this expect exactly first one to predict the very basis that was difficult and that turns out to be a lot of opportunities that sort of condition for the clearance and that's the problem of minimizing the worst case that the variance. Exactly. Here is for something that you talked about earlier to minimize the next Americans and so you can use arguments right. Well suggested a state of the art students and our highly functioning simulated annealing are with us a lot of it just because it's community seven hundred have to be. But for the time probably the sightings and here is how it's out of the phones on this as a problem to be accessed a number of observations to make the white excess is the worst case prediction there are those that like it shows the values that we are just really trying to prove as much as possible about with respect to this what's good relation or not it's silly to milling out of this quite a bit better than if we are and this kind of Charles out of the destructive use actually I was actually pretty close to there to the still there and sometimes the slogan search is a bit better but it's very interesting. Why this is here. Another problem instance I was the goal of it in my city already pretty reciprocation one of the descent right from the Pacific northwest of the United States and again some of the falls pretty close to the State of the art. One thing I have to say is that this is the audience lot faster and there's more money just to tweak but it's just another one of the off particles one hundred sixty one two places in order to minimize the worst case of detection turning over the conditions in areas that people separate and there's something interesting happens if you think we are going to be does not prove the worst detection time at all reasonable that is that honesty in place at least transfers. There's at least some event that none of the sensors that detects this little house and there's just nothing no signal it becomes less and leaves leading out with our randomized eventually finds a good solution but actually there's quite a bit worse. It's hard to get more sense of that movement than this because it is so important that we just carry solutions out. Certain values came the scene. So that's actually I'm sorry I thought a serious problem for about this is a period of Harriet's that was seeking. OK OK so I just want to say here. There's a lot of interesting aspects. So far we've been talking about cutting edge to constrain opposition What's the best the televisions if you play successors. But it happens there's a lot of other interesting constraints for example it may be more expensive to put sensors in different locations. Right. So it's very actually how NASA constraints that have a much more money function and survive the question right. And it's using for example this question of the moon really to me by Yes it's really approximation our need for constraints arise very naturally actually if you think about making decisions over time and see a bunch of sensors and you want to decide which of those answers should vary at what point in time you can see the problems maximizing multiple functions subject to a partition a very constrained. I don't have to explore the literature by the it's about. But there's a lot of other interesting constraints. It's a for example if you have a small sensor the wrongs are all the needed bards and the actually have to come straight to whatever solutions he picks are not too far apart right you have to the model car takes to move from one of the lengths to the next and what can vary I should model that by modeling the locations that enable solutions of those in the ground and then requiring that there are solutions that are connected together. It's that selected are connected to this crime scene caster problem that's this is one of your interior problems and such a detector we have been doing some very interesting work and different folks several years back are proof that. Well that's the only time I'll be going but still how it's going to feel that is approximation guarantees for so much more in general and it turns out that function is not just one of hundreds of Marlowe's it also has an actual candidate for example if you take a position that are very far apart the function is approximately. More like but if you take a function that takes two she said very little spying. Then you get the machine terms which is very arduous consisting of you can guess it's like but there's probably also if you think about our place in the network of wireless sensors that need to talk to each other right to transmit messages to the station for the purposes of analysis. Then it has a problem. Essentially the guess is that the set of nodes in the ground with the smart function find the words it is right and required but it was selected disconnected connected in the graph and doesn't study the pointed right side of the problem by kind of this would all get rid of the prosecution's together the objective function satisfies the additional bookended conditions. You can get is that these are just some ideas about the constraints of the right at the start of the race of these applications which will be different from the constraints of this talk to me so that I'm going to talk about sex and social networks. Let's move on to change gears a bit and talk about the different application of me talk about security and here. Let's talk about one very interesting smart musician problem. Remember it's just a beautiful paper by David Templeton clever going to the toilet. Now almost ten years back. That's sort of a lot of interest in this area and it's what informs maximization it's a trend. Suppose you want to run the marketing campaign. To create a demand for some new products want to get people on Facebook pivotal. To get them to buy some of the product like a cell phone. What. You could do is put Think about exploiting social networks for might try to give the product for free to a bunch of people and hopefully convince difference that this is by the time the whole model of this influence spreads. Well one way to think about that is to use the problems to model we have this social network here. Each edge just indicated by some probability just in terms of influencing the product for type to enlist. They just search terms to different spot maybe with thirty percent chance. I should influence power trails and she's fifty percent chance to influence char Egypt and they're trying to get fifty percent chance to Flynn's bar which may fail and forty percent chance to start. It's all right. As you can think up some of the spread of confusion. Remember how well it is given this model you could ask. Well if I have to pick one hundred people who want to give the product for free to maximize the by product that we can cast just last year on the charges if a problem or a ground starts to set of people or objective function takes a neutral site of hundred people that target investors expected or funds. I mean those are in the air. And that turns out to be smart and actually very interesting to see sort of Yes is the proof and can give or has it. So instead of analyzing this complex process as a unfolds over time. Yeah your story is typical for essentially flip coins associated with all the interest in advance. Ok flip all these kinds of events and some of these ideas become active and some of these. It's become an actor you know you can say well if I give the product to Ellis I can read off who she's going to be right. He's going to be Charlie Barker Dorothy. But nobody else writes and so I can look at what is the value right from a set and the outcome of kind of let's let's call it COD The inevitable the flip side of that and dice turns out just to be second probably right to overcome structure. OK And so no again I don't make up for this kind of overall objective here is just the expectation. With respect to the idea is the fact that it's made to function with yes yes I think that it was a lot of right. It's also your books Dres So this is just one small part of this for the next whole bunch of other models that turn out to lead to market musician problems there's been quite a number of interesting results from the scientists to mainstream to study which of those models right. So I was more functions just in order just to work on competitive flaws maximization various people thought about I think about Coke and Pepsi both want to sell maximize the number of customers that they reach for the start of the writing I mean it's all understand how they should write it. Well. It's game study press and that game is a very very interesting very nice indication along those lines the want to highlight It's a very interesting setting so if you think about the network that's why marketing and selling You have to talk with people. That's what have the ownership interest right now and Molly that suppose everyone in this network has a part it costs so much more that what I asked for is to tell their friends about this product. OK And so we can ask. Well this there may be some be a bit of incentivizing it's not worth it when it's just red flags and so I did look can I ask is there an incentive compatible negatives and maybe a simple listing costs brought on from this network so that they have not set a flight model put it in terms of the estimates. So you aren't forced to doesn't tend to prove that there is a very nice mechanism for monotonic smartly maximization just incentive compatible. So nobody has incentive to lie. It's what if you force we don't spend more money to help which is good and provides confidence constructive proximity. You're not going to talk about how far to the depends on other projects the function but I want to talk about the politics of this influence maximisation people don't have that it's just a two thousand and twelve and actually got the best people report at the conference and it's a very nice set of data actually from what did what did he do well. He ran an experiment and this mechanicals for most of your audience but it's the platform of the last year. Sort of give people tax and pay a little bit of money but small crowd source certain certain times. And he's actually decided the task that he ran on is in the character. He asked the participants. How many friends you have on Facebook but how much do you want to be paid in order to put and advertisement or selfishness travel agency on your Facebook page and if you do. That's very automatically shows up on the pages of that uses friends like you really have to suspect that the some are so actually going to get and that he has actually told them that it's more on both participate in this task you go to pick some subset and pay you the cost for the really have to settle for small reporting the cost but these are all you are either actually put I don't think so. They're actually right so that suits me just as good looking static as the years of the past from this paper the exits the number of friends divides to costs for some high part of the very pleasure of many friends and he will charge more than a few a few friends. That's not really to be the case it's what the system he says but that's very funny kind of distributions I can see while Naslund whatever dollar amounts that are the disabled by five. For example and thoughts are simply for the system usually and then you run experiments that he crawled out of the physical network and got stuck around twelve one illegals from the previous one and just use those distributions here. All right. What are the sort decides what is the private cost of the different looks inside its beauty sleep experiment that is informed by this by this data and then if you read various books on our inner influence propagation schemes right and similar I try to understand hold of the who come here with their algorithms that actually get to know the true cost but how much really. It's at the bottom of this because like trials. Yes it was all right but let's get this stuff right. Get right. Some of us are very rare. OK Just want to tell you that all of this and lots lots of people right. Sorry sorry sorry sorry I thought there was a hole there right to try to get an overview of what's. At that time time I said it's like many parts of the world but I did ask that question to turn one to automation problem. Well if you're willing to spend ten minutes each day which laws are needed in order to figure out how many more that is a whole lot of work. I think it's a process and you just the machinery. How in the theory the law writes about it. I think over time. One of the postings getting the link to each other for in this case of information that's read the letter of lots of lawyers here and that's supposed to be one of those largely by word of next in this case a lot about this particular case keep very real. I don't know about that before all these other people learn about the story right and thought given to the F.B.I. as well which law should be in order to learn about its biggest kids reading through their cell blogs. It's pretty smart. Actually it's quite similar to this was never a problem by the both of those settings you have network and you have something that spreads you just like it's going to mean if it's pretty good. Perhaps it was never read or information be disseminated through links and the last sentence was a pretty small set of nodes that attack this because I think it's very similar structure in both settings the fact it's more or less it is always having to go up and so he has for example what happens if you step on your wrist it's first like a lot of red marks are pretty bad yet it's not very far to the point of a good chance to protect him because kids very early but you could have some of the above if you read it with a number of postings links like Peter and other respects but if you actually optimize. I don't actually want to talk about that aspect he said it's like yes for several of your postings here. You start this book just part of why all the talk about this is clearly you have to see the fire the seeds are right there. Look at some of her words and you can also look at many times it is a problem. Exhaustive search aside hopeless takes quite a lot of time and so I told you but that's just back when it just gets about seven times because I did see it's a very very practical aspect that I don't want to talk about it's actually kind of in the future novels from one small That's my present pleasant start so far talk about what to take these kids but oftentimes these are actually very difficult to answer. For example about blogs actually very very severe write about particular stories but it on the story to tell you where you get to see if you can. To see their bodies different glorified body start but not to influence to try to get these six traces. He says kids even that were running time to find the right stuff and know the number but you don't see where it's OK. And actually bar is another thing about their God You see that people go to the doctor but you don't see a factor supernatural said but you know as well you're sort of traces of diffusion can be slurred to the body alive in the first thing and it's usually of the mind's it's much more like what you get it is not what's inside the no network and you get to see these traces of the fusion as a number of sites then the second if you're right that's right. Maybe they're right about a particular story and what I would like to do is give those observations elected Fergus's I like that who tends to influence women to die or to backward you want to go further surgery and you should be able to compete with smartest artists what explain that. Well the challenge is what are the brightest constraints within one of their cherished Well there's many little beads explaining it. So if this is my experience then there's different trees different ways of influence how they put explains things for example here marketing influence to all but one of those at least three and so on. Right. It's one of the floor right. But this is another way of knowing if it's good but if it's the only difference that's a treat. I see only gets about one second to think about and what will all sort of once you but that's that's not OK so. Well I'm going to ask if you can come up with a networked small explains the truth about sparkles that you that we need to some of you to describe how such a treat real money that you can promise to keep a bite on a promise to model that describes how likely this is to see a particular traits given some underlying diffusion treaty. OK And then what you can do is you can try to find a sparse crowd. The next mice the likelihood of the most likely tree for all states and dark in Britain. That's a lot of time. It's a model objective function and you can use the radio with musician and see hear some results and synthetically That's all right to recover their legs from truth. It's a few years but ran aground generates a whole bunch of different outcomes. This is using here chronically grandmother left with this post a list back and here is what the potholes its position will be called Curves R.C. curves for different I wouldn't say the scale is that it's a single baseline dissects you just look at it. Informativeness in some sense of every single day ahead of you Dr pixel talking sense and sense it's because of how he knows with his marketed independently from each other and it's there that doesn't work too well and if you actually use this. I'm going to start to your subjective function just applied reality then you get very focused on this one already graph models another and graph model the both of you gets very hard to see really how you can find usually of more than one side and this is good all range of the networks with the from structures so right part of the terms of the board. All right let me try to take a step and especially those stats how targets that it looked political topics. What was it was just a short process. Literally petition marks and these are a bunch of means during the last presidential election right and right. Time he's the leader of the right but also just on the phone with us for a couple of the time but you get this means you get to see Ben these the current notes you know that's the traits that you consider OK then you can run the other thing is they are using about twelve million. I'll use articles from without. One of the new sources. This is good for network was interesting Nancy is that a lot of that I get very I'm talk to much but you can for example try to understand a step. So the community decided for example see what a cluster of notes that correspond civil rights or political but if you see blogs and blogs more related to its attainment technically or you know what's in the OF Can it to you to be blogs and so it's very few trying to get so excited about the structure of them that a lot of this time there's a lot of really interesting. I find discrete optimization problems and sites and so for networks. Fortunately many of them are smarter and there's a lot of interesting and varied optimization problems that arise from looking at it was a constraint on if problems. It's never talked about. Yeah it was just an extremely useful since I think it's really a success story in just a maybe the last couple years and that's also interesting constrained optimization the more complex constraints the Rices connectedness constraints for example but I think more sense for him and he's got a problem that's also very interesting to consider for the first part of the story and then the second part is to try to get to talk about whether it's thank you. Like our writers but that said it was just funny. It was actually very excited to have it. One of the VERY much more a lot of good and something for all your approaches. Just look at it rather than just my own little fusing very very very simple. It's sort of three words. I think very very very general structure very well that's rare. Right right right. And for trying.