The quantum approximate optimization algorithm (QAOA) is a promising method for solving certain classical combinatorial problems on near-term devices. When employing the QAOA to 3-SAT and Max-3-SAT problems, cost exhibits an easy-hard-easy or easy-hard pattern respectively as clause density changed. resources needed in hard-region are out of reach current NISQ We show by numerical simulations w...

In this paper we develop an hp-adaptive procedure for the numerical solution of general, semilinear elliptic boundary value problems in 1d, with possible singular perturbations. Our approach combines both a prediction-type adaptive Newton method and an hp-version adaptive finite element discretization (based on a robust a posteriori residual analysis), thereby leading to a fully hp-adaptive New...

We introduce the notion of an “adaptive growth process” in order to explain an experimental result from the 1950s in which a complex mechanism capable of distinguishing between two sounds emerges from a homogeneous chemical solution. We present a very simple computational model which exhibits an adaptive growth process. Adaptive growth processes could have practical applications in adaptive con...

In this paper we develop an adaptive procedure for the numerical solution of general, semilinear elliptic problems with possible singular perturbations. Our approach combines both prediction-type adaptive Newton methods and a linear adaptive finite element discretization (based on a robust a posteriori error analysis), thereby leading to a fully adaptive Newton–Galerkin scheme. Numerical experi...

In practice, obtaining the global optimum for the economic dispatch {bf (ED)}problem with ramp rate limits and prohibited operating zones is presents difficulties. This paper presents a new andefficient method for solving the economic dispatch problem with non-smooth cost functions using aFuzzy Adaptive Genetic Algorithm (FAGA). The proposed algorithm  deals  with the issue ofcontrolling the ex...

One of the main objectives within the adaptive signal processing is the noise suppression, i.e. the detection of information bearing signal in noise. Adaptive filter application ANC (Adaptive Noise Cancellation) using adaptive Filter algorithm is an important basis for signal processing. The device automatically filters out the components of the signal which are not related to the orignal signa...

The concept of adaptive user interfaces is a promising solution for providing users with a wide range of individual needs with accessible technology. Developers only have to implement one generic solution to offer a multitude of individually optimised concrete user interfaces. Whereas a lot of technical functionalities and characteristics of adaptive user interfaces are already solved, there is...