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# scipy.special.kl_div

`scipy.special.``kl_div`(x, y) = <ufunc 'kl_div'>

  Elementwise function for computing Kullback-Leibler divergence.

  \[\begin{split}\mathrm{kl\_div}(x, y) = \begin{cases} x \log(x / y) - x + y & x > 0, y > 0 \\ y & x = 0, y \ge 0 \\ \infty & \text{otherwise} \end{cases}\end{split}\]

  Parameters: | x : ndarray First input array. y : ndarray Second input array.
  Returns: | res : ndarray Output array.

  See also

  `entr`, `rel_entr`

  Notes

  This function is non-negative and is jointly convex in x and y.

  New in version 0.15.0.