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naive Bayesian classifier

A naive Bayesian classifier is a supervised machine learning algorithm that predicts the category of a given data sample using probabilities derived from Bayes theorem. It operates under the simplified assumption that all input features are conditionally independent of one another given the target class. To classify an instance, the algorithm calculates the posterior probability for each possible class based on the observed feature values and assigns the instance to the class with the highest probability. Despite the assumption of feature independence rarely holding true in real-world scenarios, the classifier is computationally efficient, requires relatively little training data, scales well to high-dimensional feature spaces, and is widely applied in tasks such as text categorization, spam filtering, and sentiment analysis.

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