In statistics, naive Bayes classifiers are a family of linear "probabilistic classifiers" which assumes that the features are conditionally independent, given the target class. The strength (naivety) of this assumption is what gives the classifier its name. These classifiers are among the simplest Bayesian network models.[1]
Naive Bayes classifiers are highly scalable, requiring a number of parameters linear in the number of variables (features/predictors) in a learning problem. Maximum-likelihood training can be done by evaluating a closed-form expression,[2]: 718 which takes linear time, rather than by expensive iterative approximation as used for many other types of classifiers.
In the statistics literature, naive Bayes models are known under a variety of names, including simple Bayes and independence Bayes.[3] All these names reference the use of Bayes' theorem in the classifier's decision rule, but naive Bayes is not (necessarily) a Bayesian method.[2][3]
^McCallum, Andrew. "Graphical Models, Lecture2: Bayesian Network Representation" (PDF). Archived (PDF) from the original on 2022-10-09. Retrieved 22 October 2019.
^ abRussell, Stuart; Norvig, Peter (2003) [1995]. Artificial Intelligence: A Modern Approach (2nd ed.). Prentice Hall. ISBN 978-0137903955.
^ abHand, D. J.; Yu, K. (2001). "Idiot's Bayes — not so stupid after all?". International Statistical Review. 69 (3): 385–399. doi:10.2307/1403452. ISSN 0306-7734. JSTOR 1403452.
and 26 Related for: Naive Bayes classifier information
assumption is what gives the classifier its name. These classifiers are among the simplest Bayesian network models. NaiveBayesclassifiers are highly scalable...
NaiveBayesclassifiers are a popular statistical technique of e-mail filtering. They typically use bag-of-words features to identify email spam, an approach...
statistical classification, the Bayesclassifier is the classifier having the smallest probability of misclassification of all classifiers using the same set of...
In statistical classification, Bayes error rate is the lowest possible error rate for any classifier of a random outcome (into, for example, one of two...
hypothesis space. On average, no other ensemble can outperform it. The NaiveBayesclassifier is a version of this that assumes that the data is conditionally...
displaying short descriptions of redirect targets Bayes Business School – Business school in London Bayesclassifier – classification algorithmPages displaying...
Discriminant Analysis (LDA)—assumes Gaussian conditional density models NaiveBayesclassifier with multinomial or multivariate Bernoulli event models. The second...
a naiveBayesclassifier, and thus may not be appropriate given a very large number of classes to learn. In particular, learning in a NaiveBayes classifier...
estimated probability distributions, plus Bayes rule. This type of classifier is called a generative classifier, because we can view the distribution P...
classifier (a larger forest) getting more accurate nearly monotonically is in sharp contrast to the common belief that the complexity of a classifier...
estimating the class-conditional marginal densities of data when using a naiveBayesclassifier, which can improve its prediction accuracy. Let (x1, x2, ..., xn)...
A Bayesian network (also known as a Bayes network, Bayes net, belief network, or decision network) is a probabilistic graphical model that represents a...
independent, it is a naiveBayesclassifier This disambiguation page lists articles associated with the title Bayesian classifier. If an internal link...
a team of volunteers. It uses a naiveBayesclassifier to filter mail. This allows the filter to "learn" and classify mail according to the user's preferences...
In machine learning, a probabilistic classifier is a classifier that is able to predict, given an observation of an input, a probability distribution over...
Australian steam locomotives Boeing NB, a 1923 training aircraft NaiveBayesclassifier, in statistics Neuroblastoma, a type of cancer Nominal bore or nominal...
For example, suppose the final goal is to classify images with highly redundant pixels. A naiveBayesclassifier will assume the pixels are statistically...
SpamAssassin, SpamBayes, Mozilla, XEAMS, and others. Spam classification is treated in more detail in the article on the naïveBayesclassifier. Solomonoff's...
vector machine (SVM) displaced k-nearest neighbor in the 1990s. The naiveBayesclassifier is reportedly the "most widely used learner" at Google, due in part...
high-dimensional. Empirical Bayes methods can be seen as an approximation to a fully Bayesian treatment of a hierarchical Bayes model. In, for example, a...
Linguistics. Pseudocounts Bayesian interpretation of pseudocount regularizers A video explaining the use of Additive smoothing in a NaïveBayesclassifier...
classification of image data is based on the Bayes minimum error classifier (also known as a naiveBayesclassifier). Present the pixel: A pixel is denoted...