# How To Calculate Bayes Error Rate

## Contents |

The Elements **of Statistical** Learning (2nd ed.). i don't know this question suited to which one. Why is nuclear waste more dangerous than the original nuclear fuel? Bayes error rate From Wikipedia, the free encyclopedia Jump to: navigation, search In statistical classification, Bayes error rate is the lowest possible error rate for any classifier of a random outcome http://advogato.net/error-rate/bayes-error-rate-example.html

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 The Bayes error rate of the data distribution is the probability an instance is misclassified by a classifier that knows the true class probabilities given the predictors. 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 The Elements of Statistical Learning (2nd ed.).

## How To Calculate Bayes Error Rate

How to typedef the return type of a member function from a template class? 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. By using this site, you agree to the Terms of Use and Privacy Policy. Your cache administrator is webmaster.

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- This statistics-related article is a stub.
- The Bayes error rate of the data distribution is the probability an instance is misclassified by a classifier that knows the true class probabilities given the predictors.
- 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
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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. 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 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 How To Calculate Classification Error Rate Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply.

see their chapter about it here. Bayes Error Rate In R I am waiting for a response for one to remove the other one. Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. http://stats.stackexchange.com/questions/4949/calculating-the-error-of-bayes-classifier-analytically For a comparison of approaches and a discussion of error rates, Jordan 1995 and Jordan 2001 and references may be of interest.

Not the answer you're looking for? Estimating The Bayes Error Rate Through Classifier Combining Should I report it? 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. Why are static password requirements used so frequently?

## Bayes Error Rate In R

Generated Fri, 18 Nov 2016 06:19:33 GMT by s_hp90 (squid/3.5.20) my response One method seeks to obtain analytical bounds which are inherently dependent on distribution parameters, and hence difficult to estimate. How To Calculate Bayes Error Rate For a multiclass classifier, the Bayes error rate may be calculated as follows:[citation needed] p = ∫ x ∈ H i ∑ C i ≠ C max,x P ( C i Bayes Error Rate Explained Privacy policy About Wikipedia Disclaimers Contact Wikipedia Developers Cookie statement Mobile view current community blog chat Cross Validated Cross Validated Meta your communities Sign up or log in to customize your

Please try the request again. his comment is here How far above a waterfall should you be to safely cross? Two tails in a row - what's the probability that the game started with a head? Browse other questions tagged probability self-study normality naive-bayes bayes-optimal-classifier or ask your own question. Naive Bayes Classifier Error Rate

Lab colleague uses cracked software. 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. A Short Riddle! this contact form ISBN978-0387848570.

The system returned: (22) Invalid argument The remote host or network may be down. Classification Error Rate In R This statistics-related article is a stub. p.17.

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How to politely decline compensation? The system returned: (22) Invalid argument The remote host or network may be down. Please try the request again. Rate Of Error ISBN978-0387848570.

A 17th century colloquial term for children, in the way we use 'kids' today Real valued polynomial has real coefficients How fast is Time running in Majora's Mask? Your cache administrator is webmaster. One method seeks to obtain analytical bounds which are inherently dependent on distribution parameters, and hence difficult to estimate. http://advogato.net/error-rate/bayes-error-rate-formula.html 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.

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