We state and solve a general version of the rate-distortion problem. We show that its answer contains, as corollaries: (i) Stein's lemma in hypothesis testing; (ii) Shannon's lossy source coding theorem; (iii) new converses to measure-concentration inequalities
Let A be finite set equipped with a probability distribution P, and let M be a “mass” function on A....
High resolution bounds in lossy coding of a real memoryless source are considered when side informat...
High-resolution bounds in lossy coding of a real memoryless source are considered when side informat...
Suppose A is a finite set, let P be a discrete probability distribution on A, and let M be an arbitr...
Suppose A is a finite set, let P be a discrete distribution on A, and let M be an arbitrary "mass" f...
Abstract — Suppose A is a finite set, let P be a discrete dis-tribution on A, and let M be an arbitr...
This paper shows new finite-blocklength converse bounds applicable to lossy source coding as well as...
Suppose A is a finite set equipped with a probability measure P and let M be a ``mass'' function on ...
This paper is devoted to the formulation and proof of an abstract alphabet version of the fundamenta...
Classical rate-distortion theory requires specifying a source distribution. Instead, we analyze rate...
The explicit form of the rate-distortion function has rarely been obtained, except for few cases whe...
In this work we relax the usual separability assumption made in rate-distortion literature and propo...
This paper introduces a general framework for dealing with the subject of rate distortion or source ...
The development of a universal lossy data compression model based on a lossy version of the Kraft in...
Abstract — Classical rate-distortion theory requires knowledge of an elusive source distribution. In...
Let A be finite set equipped with a probability distribution P, and let M be a “mass” function on A....
High resolution bounds in lossy coding of a real memoryless source are considered when side informat...
High-resolution bounds in lossy coding of a real memoryless source are considered when side informat...
Suppose A is a finite set, let P be a discrete probability distribution on A, and let M be an arbitr...
Suppose A is a finite set, let P be a discrete distribution on A, and let M be an arbitrary "mass" f...
Abstract — Suppose A is a finite set, let P be a discrete dis-tribution on A, and let M be an arbitr...
This paper shows new finite-blocklength converse bounds applicable to lossy source coding as well as...
Suppose A is a finite set equipped with a probability measure P and let M be a ``mass'' function on ...
This paper is devoted to the formulation and proof of an abstract alphabet version of the fundamenta...
Classical rate-distortion theory requires specifying a source distribution. Instead, we analyze rate...
The explicit form of the rate-distortion function has rarely been obtained, except for few cases whe...
In this work we relax the usual separability assumption made in rate-distortion literature and propo...
This paper introduces a general framework for dealing with the subject of rate distortion or source ...
The development of a universal lossy data compression model based on a lossy version of the Kraft in...
Abstract — Classical rate-distortion theory requires knowledge of an elusive source distribution. In...
Let A be finite set equipped with a probability distribution P, and let M be a “mass” function on A....
High resolution bounds in lossy coding of a real memoryless source are considered when side informat...
High-resolution bounds in lossy coding of a real memoryless source are considered when side informat...