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The Itakura-Saito divergence is one of the many measures used to measure the similarity between an object x and a reference y.
It is defined as d(x|y)= x/y - log(x/y) - 1. Only if x = y the divergence is zero.
It is called a divergence and not a distance, technically speaking, because it is not symmetric: d(x|y) is not the same as d(y|x).
One of the advantages of the Itakura-Saito divergence is its scale invariance which means that d(λx|λy)=d(x|y), for any number λ. This makes it a very suitable measure for the comparison of audio spectra.
© djmw 20190619