We present some results obtained recently in signal processing in the so-called “sparse representations” domain and indicate how they can be applied to a very specific and limited problem in realization theory. This is mainly to bring these type of results to the knowledge of this community. Other applications in order estimation for instance are potentially feasible. The basic problem is the f...

Lie algebraic method generalize matrix methods and algebraic rank conditions to smooth nonlinear systems. They capture the essence of noncommuting flows and give rise to noncommutative analogues of Taylor expansions. Lie algebraic rank conditions determine controllability, observability, and optimality. Lie algebraic methods are also employed for statespace realization, control design, and path...

A scheme for optimal Gaussian cloning of optical coherent states is proposed and experimentally demonstrated. Its optical realization is based entirely on simple linear optical elements and homodyne detection. The optimality of the presented scheme is only limited by detection inefficiencies. Experimentally we achieved a cloning fidelity of about 65%, which almost touches the optimal value of 2/3.

In this paper, we attempt to analyze lenition in Kuwaiti Spoken Arabic (KSA) within the framework of Optimality Theory (OT) and following constraints proposed by Johnson (1965), Kirchner (2001), Mustafawi (2006). (2006) analyzed regarding /dʒ/ /j/ Qatari Arabic. study test universality these (namely LAZY, LAZYRime, (LAZY/[+low])Rime, * GG). We conclude that regulate apply also propose more lang...

Optimality Theory catches on in linguistics, rst in phonology, then in syntax , and recently also at the semantics / pragmatics interface. In this paper we point at some parallels between principles employed in optimality the-oretic interpretation, and notions from the well-established eld of Game Theory. Optimality theoretic interpretation can be deened as what we call an \interpretation game"...