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in the meantime, is there a way to dictate MATLAB or Paraview or any other application that uses OpenGL to do stuff in double precision ? I could use a workaround for my problems, but I prefer not to :) Thanks!
EDIT:
I try to be more specific about the problem/issue. First two images:
The first one is rendered using openGL, the second (fine one) is rendered after typing the "opengl neverselect" method, which switches to another renderer. Since I experience quite simiular renderering problems in Paraview as well, I am quite sure that this is OpenGL specific and not the "fault" of matlab or Paraview. When I shift the values as mentioned in the comment below, I get smoothly rendered images as well. I assume that is because my data range has a huge offset from zero and the precision in the rendering routine is not accurate enough and produces serious rounding errors in the rendering calculations.
Thus, I would like to know if you know some way (in MATLAB, Paraview, in the OS settings) to set the rendering precision higher ( i read that gpus/OpenGL usually calculate in float)
First off, this has nothing to do with OpenGL. The part of MATLAB actually doing the plotting is written in some compiled language, and relies on OpenGL just for displaying stuff to the screen.
The precision used (double/float) is hard coded into the program. You can't have the OS or something force the program to use different data types. In certain cases you might be able to make the relevant changes to the source code of a program and then recompile, but this doesn't sound like it is applicable in your case.
This doesn't mean that there isn't a way to do what you want in MATLAB. In fact, since the program is specifically designed to do numeric computation there almost certainly is a way to specify the precision. You would need to provide more detailed information on your issue (screenshot?) if you want to get further guidance.
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How should I solve my equations in Perl?
I know binary search is one solution (and perhaps pretty fast for my equations) but I would like to know if there is a ready to use solutions such as math packages or libraries so that I can use them instead of implementing my own solver?
NOTE:
This is, find x for a given y.
The functions are strictly increasing
The equations usually look like: y = a + b*sqrt(x) + b*x or y = sqrt(a*(x-b)**2*(x-c)/(x-d))
Please don't complain that "this is off topic" or "you should ask this in http://math.stackexchange.com". I want to see this problem from the programming point of view, particularly in Perl!
Have you considered using libraries? There's Math::LP, for instance.
See the Perl and Math tutorial from PerlMonks for more info.
Search for symbolic math on MetaCPAN. Lots of interesting looking options.
https://metacpan.org/search?q=symbolic+math
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i have a question on speed up application built by MATLAB software, i need to know the affect of using vectorization and parallel computation on speed up the application ? and if there is better method than both previous way in such case ? thanks
The first thing you need to do when your MATLAB code runs too slow is to run it in the profiler. In recent versions of MATLAB, this can by done by pressing the "Run and Time" button on the main toolbar. This way, you will now which functions and which lines in these function take up the most time. Once you know this, you may do one of the following, depending on your circumstances and the nature of the particular piece of code:
Think if your algorithm is the most optimal one in terms of O() complexity.
Try turning loops into vector operations. The efficacy of this has declined in recent versions of MATLAB because of improvements in how loops are executed.
If you have a multi-core CPU try using the parallel computing toolbox. If your code parallelizes well, you will get a sped up nearly equal to the number of cores.
If you have an nVidia GPU try using the GPU support. You can get a speed-up by a factor of 10 or more with some problems, but not all problems are amicable to this sort of optimization.
If everything else fails, you may outsource the slowest piece of your code to a low level language like C. See here for how to do this. You could then use low-level profiling tools like Intel vTune to get the absolute maximum speed from the low-level code.
If it is still too slow, you may need to buy an FPGA. See here for a brief tutorial.
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Basically I have some hourly and daily data like
Day 1
Hours,Measure
(1,21)
(2,22)
(3,27)
(4,24)
Day 2
hours,measure
(1,23)
(2,26)
(3,29)
(4,20)
Now I want to find outliers in the data by considering hourly variations and as well as the daily variations using bivariate analysis...which includes hourly and measure...
So which is the best clustering algorithm is more suited to find outlier considering this scenario?
.
one 'good' advice (:P) I can give you is that (based on my experience) it is NOT a good idea to treat time similar to spatial features. So beware of solutions that do this. You probably can start with searching the literature in outlier detection for time-series data.
You really should use a different repesentation for your data.
Why don't you use an actual outlier detection method, if you want to detect outliers?
Other than that, just read through some literature. k-means for example is known to have problems with outliers. DBSCAN on the other hand is designed to be used on data with "Noise" (the N in DBSCAN), which essentially are outliers.
Still, the way you are representing your data will make none of these work very well.
You should use time series based outlier detection method because of the nature of your data (it has its own seasonality, trend, autocorrelation etc.). Time series based outliers are of different kinds (AO, IO etc.) and it's kind of complicated but there are applications which make it easy to implement.
Download the latest build of R from http://cran.r-project.org/. Install the packages "forecast" & "TSA".
Use the auto.arima function of forecast package to derive the best model fit for your data amd pass on those variables along with your data to detectAO & detectIO of TSA functions. These functions will pop up any outlier which is present in the data with their time indexes.
R is also easy to integrate with other applications or just simply run a batch job ....Hope that helps...
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I was trying to find something original and fun to do with artificial neural networks (ANNs) as a personal/learning project and I though it would be cool if I could predict the results of sports games (especially NHL games).
I'm pretty sure it would be easy to evolve an ANN that can predict which team is most likely to win (usually the team with the better record). However, what I would like to do is create an ANN that would tell how likely the outcome is, similar to bookmaker odds.
Is this something an ANN can do? In the affirmative, what kind of success can I expect? I know I can't beat the bookmaker (at least not with a software solution). I want do this as a recreational project/challenge to myself. I don't expect to bet money on sports games with this project.
Way back in the days of the IBM XT I played with a shareware ANN program to try and improve my chances on the British football (soccer) pools. This is a form of betting where you try and predict which football matches will result in draws. I assigned each team a number then looked back thorough past results and from them generated a single digit for the result. From memory it was 0 from a home win , 1 for an away win and 2 for a draw. Each result went on a single line in a training file. I would then run the training file through the program and generate the ANN settings. I would then look up the following Saturdays matches and feed them into the ANN then look for matches predicted as draws.
As the weeks went on my predictions of draws did definetly become more and more accurate. However ...
1) The XT was so slow that by Christmas it was taking 24 hours to generate the ANN settings from the training data. I really had better things to do with my precious (and expensive) PC.
2) Although it was better at predicting draws it wasn't predicting enough to actually win any money. Looking back I suppose the program had just worked out that Manchester United would always beat Sheffield United. This was more football knowledge than I had but not enough to win any money.
3) Entering the results into the training data and then generating the forthcoming matches data was taking me ages and to be honest sport bores me rigid.
So I gave up and didn't become a millionaire.
These days however PC's are much faster and much of the training data could be scraped from the web. But I still doubt it is a route to a fortune but its certainly an interesting project.
Ian
A reply above stated:
I know that if the bookmakers odds could be beaten by an ANN,
bookmakers would already be using one to fix their odds.
Bookmakers don't set the line based on their analysis of the teams - they set it based on their analysis of the betting public's opinion of the teams. An ideal line for the bookie is where he has exactly the same amount bet on each side of the line - then he is guaranteed a profit = the 'juice' on the losers' bets. They move the line as game approaches to try to keep that 50/50 split. Bookie may think Home team -5 is accurate line based on game analysis, but if he expects that will draw 2x $$ on the Home team he will not set the line at -5 - he will set at -7 or -8 - to where he expects to draw equal $$ for both -5 and +5 bets.
ANNs are really good at pattern matching and prediction, so yes, odds are you could build an ANN that does what you want.
You'll need more than just team win/loss ratio to make it really effective however. Feed it stats for the players, too. For real effectiveness, try to include game-flow information... like which players are on the line for each play (for football, for example).
Ultimately, the biggest problem you'll run into (aside from the whole "writing the ANN" issue) is getting the data you need to feed it.
I've done some stock market predictions with an AI and my conclusion is that it is not very hard to make an AI that gets good results with the historical data.
Making winning transactions in the future is a different ballgame.
I have just worked on this very problem (predicting English Premier League games) for the past 10 days, and ended up with very similar results using 3 different methods: SVM, Logistic Regression, and NN.
LR and NN will give probabilities. SVM outputs 0/1 (but it can be tweaked for probas too (I haven't tried yet).
I needed a "massive" (by my standards at least) feature set though (almost 300) and a good chunk of data (13 years worth).
Re. data, I got it from the web, simply.
Conclusion: I can just about match the bookies in terms of accuracy (predicting victories in my case). If I add the pre-match odds to the feature set, I get the exact same accuracy as the bookies (as expected), but no better (surely meaning my feature set is summarized in the bookies odds, and they have a little extra knowledge on top).
I'm sure there is a way to get better accuracy, either by improving the algos, or more likely by having extremely granular data (as in which players play which games, for how many minutes, and a lot of player-level historical stats, so as to build bottom-up models of team performance).
But bottom line is I can testify NNs work quite well for that purpose. SVM is slightly better though, in my limited experience.
I think it's indeed all about data, but there's no end to what you could feed it with in order to be more accurate : winning/loosing streaks, players biorhythms, player's girlfriends mood before the game, minor/major injuries they suffered in the recent past, extra-sportive events that are bothering the players, etc, etc, etc.
But I don't think you can accurately predict which team is more likely to win, it would be just a more-or-less educated guess.
In my opinion and experience, because of the excessively large number of factors in play, designing and training the ANN will be unreasonably complex and time-consuming. ANNs are good at pattern matching, and game prediction takes much deductive reasoning rather than mere pattern matching.
But if you want to enjoy learning neural networks, it will be a good adventure. If you are successful, you might want to host your code somewhere for others to see and learn!
For game prediction, it would be much easier and faster with decision trees or a rules engine and so on. This will be no easy task either, but it will be another interesting activity.
My belief is that the unpredictability of an event is due to lack of information and understanding...If you have all the knowledge, then yes it could be done. Or, the more knowledge you have, the better it can be done.
So in theory, the answer is yes.
However, in practice, you can get a PhD and have a whole career working on this question and you still may not succeed.