Abstract

The Sparse Regression Code (SPARC) was proposed as an efficient lossy compression method for continuous sources, and was proved to achieve the rate-distortion curve for the i.i.d. Gaussian source. However, the original SPARC is specialized to the squared distortion criterion, and it is unknown how to adapt the SPARC to other distortion criteria. In this study, focusing on the absolute distortion criterion, we improve the original SPARC. This is achieved by designing the dictionary matrix sparsely as suggested by the rate-distortion theory of absolute distortion, and by deriving a proper sequence of regression coefficients. It is demonstrated that our algorithm yields smaller distortion than the original SPARC at all rates under the absolute distortion criterion.

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