Kolmogorov Structure Function - Extension To Rate Distortion and Denoising

Extension To Rate Distortion and Denoising

It turns out that the approach can be extended to a theory of rate distortion of individual finite sequences and denoising of individual finite sequences using Kolmogorov complexity. Experiments using real compressor programs have been carried out with success. Here the assumption is that for natural data the Kolmogorov complexity is not far from the length of a compressed version using a good compressor.

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