Link Quality Classifier with Compressed Sensing Based on \ell_1-\ell_2 Optimization

Abstract

Network tomography is an inference technique for internal network characteristics from end-to-end measurements. In this letter, we propose a new network tomography scheme to classify communication links into lower or higher quality classes according to their link loss rates. The two-class classification is achieved by the estimation of link loss rates via compressed sensing, which is an emerging theory to obtain a sparse solution from an underdetermined linear system, with regarding link loss rates in the higher quality class as 0. In the proposed scheme, we implement compressed sensing with an ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> optimization, where the cost function is defined as a sum of ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> and ℓ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> norms with a mixing parameter, which enables us to control the threshold between the lower and higher quality classes.