I have a small corpus and I want to calculate the accuracy of naive Bayes classifier using 10-fold cross validation, how can do it.

Your options are to either set this up yourself or use something like NLTK-Trainer since NLTK doesn’t directly support cross-validation for machine learning algorithms.

I’d recommend probably just using another module to do this for you but if you really want to write your own code you could do something like the following.

Supposing you want 10-fold, you would have to partition your training set into 10 subsets, train on 9/10, test on the remaining 1/10, and do this for each combination of subsets (10).

Assuming your training set is in a list named training, a simple way to accomplish this would be,

num_folds = 10
subset_size = len(training)/num_folds
for i in range(num_folds):
    testing_this_round = training[i*subset_size:][:subset_size]
    training_this_round = training[:i*subset_size] + training[(i+1)*subset_size:]
    # train using training_this_round
    # evaluate against testing_this_round
    # save accuracy

# find mean accuracy over all rounds

Actually there is no need for a long loop iterations that are provided in the most upvoted answer. Also the choice of classifier is irrelevant (it can be any classifier).

Scikit provides cross_val_score, which does all the looping under the hood.

from sklearn.cross_validation import KFold, cross_val_score
k_fold = KFold(len(y), n_folds=10, shuffle=True, random_state=0)
clf = <any classifier>
print cross_val_score(clf, X, y, cv=k_fold, n_jobs=1)

I’ve used both libraries and NLTK for naivebayes sklearn for crossvalidation as follows:

import nltk
from sklearn import cross_validation
training_set = nltk.classify.apply_features(extract_features, documents)
cv = cross_validation.KFold(len(training_set), n_folds=10, indices=True, shuffle=False, random_state=None, k=None)

for traincv, testcv in cv:
    classifier = nltk.NaiveBayesClassifier.train(training_set[traincv[0]:traincv[len(traincv)-1]])
    print 'accuracy:', nltk.classify.util.accuracy(classifier, training_set[testcv[0]:testcv[len(testcv)-1]])

and at the end I calculated the average accuracy

Modified the second answer:

cv = cross_validation.KFold(len(training_set), n_folds=10, shuffle=True, random_state=None)

Inspired from Jared’s answer, here is a version using a generator:

def k_fold_generator(X, y, k_fold):
    subset_size = len(X) / k_fold  # Cast to int if using Python 3
    for k in range(k_fold):
        X_train = X[:k * subset_size] + X[(k + 1) * subset_size:]
        X_valid = X[k * subset_size:][:subset_size]
        y_train = y[:k * subset_size] + y[(k + 1) * subset_size:]
        y_valid = y[k * subset_size:][:subset_size]

        yield X_train, y_train, X_valid, y_valid

I am assuming that your data set X has N data points (= 4 in the example) and D features (= 2 in the example). The associated N labels are stored in y.

X = [[ 1, 2], [3, 4], [5, 6], [7, 8]]
y = [0, 0, 1, 1]
k_fold = 2

for X_train, y_train, X_valid, y_valid in k_fold_generator(X, y, k_fold):
    # Train using X_train and y_train
    # Evaluate using X_valid and y_valid