Itakura–Saito distance
From Wikipedia, the free encyclopedia
The Itakura–Saito distance is a measure of the perceptual difference between an original spectrum 
and an approximation 
of that spectrum. It was proposed by Fumitada Itakura and Shuzo Saito in the 1970s while they were with NTT.
The distance is defined as:[1]
![D_{{IS}}(P(\omega ),{\hat {P}}(\omega ))={\frac {1}{2\pi }}\int _{{-\pi }}^{{\pi }}\left[{\frac {P(\omega )}{{\hat {P}}(\omega )}}-\log {\frac {P(\omega )}{{\hat {P}}(\omega )}}-1\right]\,d\omega](/2014-wikipedia_en_all_02_2014/I/media/4/9/5/7/49578fa7f8b20dc425106bd7fb3f2573.png)
The Itakura–Saito distance is a Bregman divergence, but is not a true metric since it is not symmetric.[2]
See also
References
- ↑ Alan H. S. Chan, Sio-Iong Ao (2008). Advances in industrial engineering and operations research. Springer. p. 51. ISBN 978-0-387-74903-7.
- ↑ A. Banerjee et al. (2004). "Clustering with Bregman Divergences". In Michael W. Berry, Umeshwar Dayal, Chandrika Kamath, and David Skillicorn. Proceedings of the Fourth SIAM International Conference on Data Mining. SIAM. pp. 234–245. ISBN 978-0-89871-568-2.
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