This paper surveys recent theoretical advances in convex optimization approaches for community detection. We introduce some important techniques and results establishing the consistency of detection under various statistical models. In particular, we discuss basic based on primal dual analysis. also present that demonstrate several distinctive advantages detection, including robustness against ...

We present new implicit-explicit (IMEX) Runge Kutta methods suitable for time dependent partial differential systems which contain stiff and non stiff terms (i.e. convection-diffusion problems, hyperbolic systems with relaxation). Here we restrict to diagonally implicit schemes and emphasize the relation with splitting schemes and asymptotic preserving schemes. Accuracy and stability properties...

purpose :   this study was designed to compare the effects of two different relaxation techniques, namely progressive muscle relaxation (pmr) and autogenic relaxation (agr) on moods of young soccer players . methods :   sixteen adolescent athletes (mean age: 14.1 ± 1.3) received either pmr or agr training. using profile of mood states-adolescents, their mood states were measured one week before...

Solving an evolution problem in parallel is naturally undertaken by trying to parallelize the algorithm in space, and then still follow a time stepping method from the initial time t = 0 to the final time t = T . This is especially easy to do when an explicit time stepping method is used, because in that case the time step for each component is only based on past, known data, and the time stepp...

Waveform relaxation is a numerical method for solving large-scale systems of ordinary differential equations on parallel computers. It differs from standard iterative methods in that it computes the solution on many time levels or along a continuous time interval simultaneously. This paper deals with the acceleration of the standard waveform relaxation method by successive overrelaxation (SOR) ...