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B Naive Bayesian classifier The Naive Bayesian Classifier algorithm is a classification algorithm based on calculating the probability of belonging to each class. That is

B Naive Bayesian classifier
The Naive Bayesian Classifier algorithm is a classification algorithm based on
calculating the probability of belonging to each class. That is to say that the test
data (to be classified) will be assigned to the most likely class. The probability of
belonging to each class is calculated from the learning data as follows:
class(x)=argmaxk{iP(wik)P(k)}
Here P(k) is the a priori probability of belonging to the class k. in other
words its the probability of obtaining a data of class k if we draw a data at
random. P(xik) is the probability that a data x has the value xi for the variable
i, if we know its class k. Here we will calculate this probability by calculating
the distance between the data xi and each barycenter of the classes (i.e. the class
average), divided by the sum distances between this data and each barycenter.
List of useful functions:
mean, sum: calculate the mean and the sum of a list of values.
unique: returns the list of list values, without repeating values.
asarray: transforms a list into a vector.
vector.prod: makes the product of the values of a vector.
naive_bayes.GaussianNB: the naive Bayesian Classifier from sklearn.
Create a CBN (X, Y) function that takes x data and labels as input Y
and which returns a label, for each data, predicted from class la more likely
according to equation (1). Here again, we take each data, one by one, as
test data and we consider all data as training data. It is advisable to first
calculate the barycentres and the a priori probabilities P(k) for each class,
then calculate the conditional probabilities P(xik) for each class and each
variable.
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