Classifier Error What Is
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Bayes Error Rate Explained
data visualization. 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 top Is accuracy = 1- test http://www.robotics.stanford.edu/~stong/snowbird99/talk/sld003.htm error rate up vote 6 down vote favorite Apologies if this is a very obvious question, but I have been reading various posts and can't seem to find a good confirmation. In the case of classification, is a classifier's accuracy = 1- test error rate? I get that accuracy is TP+TN/P+N, but my question is how exactly are accuracy and test error rate related. classification terminology share|improve this question edited Jan 15 '15 at 0:03 mbq 17.7k849102 http://stats.stackexchange.com/questions/133458/is-accuracy-1-test-error-rate asked Jan 14 '15 at 21:47 micro_gnomics 313 add a comment| 1 Answer 1 active oldest votes up vote 4 down vote In principle yes, accuracy is the fraction of properly predicted cases thus 1-the fraction of misclassified cases, that is error (rate). Both terms may be sometimes used in a more vague way, however, and cover different things like class-balanced error/accuracy or even F-score or AUROC -- it is always best to look for/include a proper clarification in the paper or report. Also note that test error rate implies error on a test set, so it is likely 1-test set accuracy, and there may be other accuracies flying around. share|improve this answer answered Jan 15 '15 at 0:03 mbq 17.7k849102 Yeah, I think that is the issue I was having is that the terms are used vaguely, and you make a good point that it must be reported in the context of your analysis. Thanks for clarifying! –micro_gnomics Jan 16 '15 at 17:57 add a comment| Your Answer draft saved draft discarded Sign up or log in Sign up using Google Sign up using Facebook Sign up using Email and Password Post as a guest Name Email Post as a guest Name Email discard By posting your answer, you agree to the privacy policy and terms of service. Not the answer you're looking for? Browse other ques
Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site About Us Learn more http://stats.stackexchange.com/questions/4949/calculating-the-error-of-bayes-classifier-analytically about Stack Overflow the company Business Learn more about hiring developers or posting ads with us Cross Validated Questions Tags Users Badges Unanswered Ask Question _ Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. Join them; it only takes a minute: Sign up Here's how it works: Anybody can ask a question Anybody can answer The best error rate answers are voted up and rise to the top Calculating the error of Bayes classifier analytically up vote 5 down vote favorite 3 If two classes $w_1$ and $w_2$ have normal distribution with known parameters ($M_1$, $M_2$ as their means and $\Sigma_1$,$\Sigma_2$ are their covariances) how we can calculate error of the Bayes classifier for them theorically? Also suppose the variables are in N-dimensional space. Note: A copy of this bayes error rate question is also available at http://math.stackexchange.com/q/11891/4051 that is still unanswered. If any of these question get answered, the other one will be deleted. probability self-study normality naive-bayes bayes-optimal-classifier share|improve this question edited May 25 at 5:26 Tim 22.5k45297 asked Nov 26 '10 at 19:36 Isaac 490615 1 Is this question the same as stats.stackexchange.com/q/4942/919 ? –whuber♦ Nov 26 '10 at 20:40 @whuber Your answer suggests it is the case indeed. –chl♦ Nov 26 '10 at 20:47 @whuber: Yes. i don't know this question suited to which one. I am waiting for a response for one to remove the other one. Is it against the rules? –Isaac Nov 26 '10 at 20:49 It might be easier, and surely would be cleaner, to edit the original question. 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. 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 oldest votes up vote 14 down vote accepted There's no closed form, but you could do i
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