Abstract This paper is concerned with the lossy compression of general random variables, specifically rate-distortion theory and quantization variables taking values in measurable spaces such as, e.g. manifolds fractal sets. Manifold structures are prevalent data science, compressed sensing, machine learning, image processing handwritten digit recognition. Fractal sets find application modeling...

Data compression refers to the process of representation data using fewer number bits. can be lossless or lossy. There are many schemes developed and used perform either lossy compression. Lossless allows original conveniently reconstructed from compressed while allow only an approximate constructed. The type classified as image data, textual audio even video content. Various researches being c...