FNN (version 1.1.3)

crossentropy: Cross Entropy

Description

KNN Cross Entropy Estimators.

Usage

crossentropy(X, Y, k=10, algorithm=c("kd_tree", "cover_tree", "brute"))

Arguments

X

an input data matrix.

Y

an input data matrix.

k

the maximum number of nearest neighbors to search. The default value is set to 10.

algorithm

nearest neighbor search algorithm.

Value

a vector of length k for crossentropy estimates using 1:k nearest neighbors, respectively.

Details

If p(x) and q(x) are two continuous probability density functions, then the cross-entropy of p and q is defined as \(H(p;q) = E_p[-\log q(x)]\).

References

S. Boltz, E. Debreuve and M. Barlaud (2007). “kNN-based high-dimensional Kullback-Leibler distance for tracking”. Image Analysis for Multimedia Interactive Services, 2007. WIAMIS '07. Eighth International Workshop on.