Motivated by a geometric problem, we introduce a new non-convex graph partitioning objective where the optimality criterion is given by the sum of the Dirichlet eigenvalues of the partition components. A relaxed formulation is identified and a novel rearrangement algorithm is proposed, which we show is strictly decreasing and converges in a finite number of iterations to a local minimum of the ...

In this paper, a systematic approach is presented for more relaxed stability analysis conditions and fuzzy controller design for Takagi-Sugeno systems in the form of LMIs. This approach is based on the idea of non-quadratic Lyapunov function and one assumption. In this paper, the upper bounds of the time derivative of membership functions are considered as LMI variables which lead to more relax...

the effects of electromagnetic fields (emfs) radiation at the frequency of 940 mhz on the structure and function of human adult and fetal hemoglobin (hba and hbf) were studied. after extraction and purification of hba and hbf, the oxygen absorption values for exposed and unexposed hba and hbf to emf were compared. the slope of oxygen absorption curve for exposed hba was increased while that for...

An adjustment scheme for the relaxation parameter of interior point approaches to the numerical solution of pointwise state constrained elliptic optimal control problems is introduced. The method is based on error estimates of an associated finite element discretization of the relaxed problems and optimally selects the relaxation parameter in dependence on the mesh size of discretization. The f...

We investigate a graph-based semi-supervised learning approach for labeling semantic components of questions such as topic, focus, event, etc., for question understanding task. We focus on graph construction to handle learning with dense/sparse graphs and present Relaxed Linear Neighborhoods method, in which each node is linearly constructed from varying sizes of its neighbors based on the dens...