The best replacement for naive bayes is logistic regression.

The best alternatives to naive bayes are rated as following:
★★★★★  logistic regression
★★★★  svm
★★★  knn
★★★  bayes
★★★  j48
★★★  decision trees
★★  bayesian network
★★  neural network
★  maximum entropy
★  lda
  decision tree

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naive bayes
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