On Functionals Satisfying a Data-Processing. Theorem. JACOB ZIV AND. MOSHE ZAKAI. Abstraci-It is shown that the rate-distortion hound (R(d) I C) remains true ...
Examples are given showing that for certain choices of the concave functions, the bounds obtained are better than the classical rate-distortion bounds.
It is shown that the rate-distortion bound (R(d) leq C) remains true when -log x in the definition of mutual information is replaced by an arbitrary concave ...
People also ask
What are the functions of data processing?
What are the four types of data processing activities?
What is the concept of data processing?
What are the data processing operations?
Aug 6, 2023 · What are the other functions that have this property? I'm looking for characterization of function f such that f(X,Y)≥f(X,Z).
Missing: theorem. | Show results with:theorem.
Jan 3, 2022 · An easy (but perhaps cheating) answer: The relative entropy S(A||B)diverges when A has support over the kernel of B (e.g., wikipedia).
This paper presents an overview of three information‐theoretic methods, which have been used extensively in many areas such as signal/image processing, ...
Missing: theorem. | Show results with:theorem.
Zakai, “On functionals satisfying a data–processing theorem,” IEEE Trans. In- form. Theory, vol. IT–19, no. 3, pp. 275–283, May 1973. [15] M. Zakai and J ...
Sep 25, 2011 · Zakai, “On functionals satisfying a data-processing theorem,” IEEE Trans. In- form. Theory, vol. IT–19, no. 3, pp. 275–283, May 1973. 34.
Dec 13, 2011 · I'd like to point out that harmonic analysis does make heavy use of categorical notions in the representation theory-heavy branches of the field.
The data-processing inequality can be used to show that no clever manip- ulation of the data can improve the inferences that can be made from the data.