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# Bayes Error Example

## Contents

Noisy depth of field How to respond to your boss's email about a coworker's accusation? permalinkembedsaveparentgive gold[–]autowikibot 1 point2 points3 points 1 year ago(0 children) Bayes error rate: In statistical classification, the Bayes error rate is the lowest possible error rate for a given class of If needed I will share my class notes which sadly don't explain well enough ( just for clarification I asked my professor and he just gave me an answer which summed Cause thats what I've been doing and I'm guessing its ok. Check This Out

That requires knowing the posterior densities explicitly, when most of the time you are assuming they are something nice, like a Gaussian. permalinkembedsaveparentgive goldaboutblogaboutsource codeadvertisejobshelpsite rulesFAQwikireddiquettetransparencycontact usapps & toolsReddit for iPhoneReddit for Androidmobile websitebuttons<3reddit goldredditgiftsUse of this site constitutes acceptance of our User Agreement and Privacy Policy (updated). © 2016 reddit inc. ISBN978-0387848570. A Gaussian has thin tails, if the true distribution with fatter tails Bayes error rate will be higher. https://en.wikipedia.org/wiki/Bayes_error_rate

## Bayes Error Example

Why do most of us wear wristwatches on the left hand? p.17. All rights reserved.REDDIT and the ALIEN Logo are registered trademarks of reddit inc.πRendered by PID 21792 on app-575 at 2016-11-18 06:00:52.540605+00:00 running dd815b7 country code: IE. So if we want actual probability instead of this "concentration" thing, we integrate -- i.e.

Each observation is called an instance and the class it belongs to is the label. The system returned: (22) Invalid argument The remote host or network may be down. Plot your finger at that point on the X axis and drag your finger up. Naive Bayes Classifier Error Rate share|improve this answer answered Dec 26 '10 at 12:51 conjugateprior 13.5k13062 add a comment| up vote 0 down vote Here you might find several clues for your question, maybe is not

However, sometimes a question is restarted as a new one when the earlier version collects too many comments that are made irrelevant by the edits, so it's a judgment call. Bayes Error Rate In R I assume this is the approach intended by your invocation of the Bayes classifier, which is defined only when everything about the data generating process is specified. But if you are trying to minimize some other kind of error such as false positives (because for example, you think it is worse to send a good email to the i don't know this question suited to which one.

kid in winter Using a variable after FROM in SOQL statement Countries where lecture duration does not exceed one hour Can these Star Wars characters as emojis be identified? How To Calculate Classification Error Rate Now suppose you get a value of X. Or 'pnorm()' in R. That is your probability of choosing wrong when you decide the class using Bayes' Rule -- so we call it Bayes Error.

## Bayes Error Rate In R

Your cache administrator is webmaster. go to this web-site Another approach focuses on class densities, while yet another method combines and compares various classifiers.[2] The Bayes error rate finds important use in the study of patterns and machine learning techniques.[3] Bayes Error Example In any event it's helpful to place cross-references between closely related questions to help people connect them easily. –whuber♦ Nov 26 '10 at 20:52 add a comment| 3 Answers 3 active Bayes Error Rate Explained Bayes's rule makes you choose in error.

In it, you'll get: The week's top questions and answers Important community announcements Questions that need answers see an example newsletter By subscribing, you agree to the privacy policy and terms http://advogato.net/error-rate/bayes-error-rate-formula.html I am waiting for a response for one to remove the other one. Since this is seldom possible it is always also worth considering the Discrimination Approach If you don't want to or cannot specify the prior class probabilities, you can take advantage of Read this for an introduction to the Bayesian conspiracy. Error Rate Definition

1. What does the letter 'u' mean in /dev/urandom?
2. Tumer, K. (1996) "Estimating the Bayes error rate through classifier combining" in Proceedings of the 13th International Conference on Pattern Recognition, Volume 2, 695–699 ^ Hastie, Trevor.
3. probability self-study normality naive-bayes bayes-optimal-classifier share|improve this question edited May 25 at 5:26 Tim 25.3k456106 asked Nov 26 '10 at 19:36 Isaac 495615 1 Is this question the same as

v t e Retrieved from "https://en.wikipedia.org/w/index.php?title=Bayes_error_rate&oldid=743880528" Categories: Statistical classificationBayesian statisticsStatistics stubsHidden categories: Pages using ISBN magic linksAll articles with unsourced statementsArticles with unsourced statements from February 2013Wikipedia articles needing clarification from Look up Discriminant Analysis to get the optimal decision boundary in closed form, then compute the areas on the wrong sides of it for each class to get the error rates. Generated Fri, 18 Nov 2016 05:56:49 GMT by s_wx1194 (squid/3.5.20) ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: http://0.0.0.9/ Connection http://advogato.net/error-rate/bayes-error-rate-example.html Will also delete on comment score of -1 or less. | FAQs | Mods | Magic Words permalinkembedsaveparentgive gold[–]Bromskloss 1 point2 points3 points 1 year ago(1 child)I must say that the definition given

permalinkembedsaveparentgive gold[–]OlTartToter[S] 0 points1 point2 points 1 year ago(0 children)Why am I being down voted? Classification Error Rate In R If any of these question get answered, the other one will be deleted. Please try the request again.

## The "Bayes Decision Rule" is this: whichever class's curve is higher at that point, that is the class you pick.

As a concrete example, consider two Gaussians with following parameters $$\mu_1=\left(\begin{matrix} -1\\\\ -1 \end{matrix}\right), \mu_2=\left(\begin{matrix} 1\\\\ 1 \end{matrix}\right)$$ $$\Sigma_1=\left(\begin{matrix} 2&1/2\\\\ 1/2&2 \end{matrix}\right),\ \Sigma_2=\left(\begin{matrix} 1&0\\\\ 0&1 \end{matrix}\right)$$ Bayes optimal classifier boundary will Related reddits: /r/rstats /r/statistics /r/MachineLearning created by ichthisa community for 5 yearsmessage the moderatorsMODERATORSichthisabout moderation team »discussions in /r/Bayes<>X1 points · 1 comment Lost Car Key Puzzle (Solved with Bayesian analysis)6 points Bayesian Wi-Fi7 points Bayes’s Theorem is Not ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: http://0.0.0.6/ Connection to 0.0.0.6 failed. Estimating The Bayes Error Rate Through Classifier Combining book...

Generated Fri, 18 Nov 2016 05:56:49 GMT by s_wx1194 (squid/3.5.20) Its reference 2 fleshes it out more, though. Bayesian statisticians handle this case by reflecting these concerns in the prior distributions for each class and still using Bayes rule. http://advogato.net/error-rate/how-to-calculate-bayes-error-rate.html permalinkembedsaveparentgive gold[–]OlTartToter[S] 1 point2 points3 points 1 year ago(0 children)This seems very useful.

One method seeks to obtain analytical bounds which are inherently dependent on distribution parameters, and hence difficult to estimate. more stack exchange communities company blog Stack Exchange Inbox Reputation and Badges sign up log in tour help Tour Start here for a quick overview of the site Help Center Detailed Also suppose the variables are in N-dimensional space. You have some data, summarized in a statistic called X, in the case of Gaussian data this will be the mean of your data points (or if you get just a

Binomial coefficients and "missing primes" How far above a waterfall should you be to safely cross? Could you please provide commands to reproduce your beautiful figures? –Andrej Oct 5 '12 at 13:42 2 (+1) These graphics are beautiful. –COOLSerdash Jun 25 '13 at 7:05 add a For the problem above I get 0.253579 using following Mathematica code dens1[x_, y_] = PDF[MultinormalDistribution[{-1, -1}, {{2, 1/2}, {1/2, 2}}], {x, y}]; dens2[x_, y_] = PDF[MultinormalDistribution[{1, 1}, {{1, 0}, {0, 1}}], Higher up doesn't carry around their security badge and asks others to let them in.

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2766788/ share|improve this answer answered Nov 27 '10 at 12:13 mariana soffer 88711315 add a comment| Your Answer draft saved draft discarded Sign up or log in Sign up using Generative Approach Assuming a generative model for the data, you also need to know the prior probabilities of each class for an analytic statement of the classification error. Join them; it only takes a minute: Sign up Here's how it works: Anybody can ask a question Anybody can answer The best answers are voted up and rise to the Please try the request again.

A number of approaches to the estimation of the Bayes error rate exist. I was hoping someone might have an Idea. Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. Mountainering with 6 y.o.