First-order derivatives: n additional function calls are needed. Second-order derivatives based on gradient calls, when the "grd" module is specified (Dennis and Schnabel 1983): n additional gradient ...

Abstract: Approximation ability is one of the most important topics in the field of neural networks (NNs). Feedforward NNs, activated by rectified linear units and some of their specific smoothed ...

Massive scalar field quasinormal modes of black hole with a deficit solid angle are studied by using the third-order WKB approximation. From the numerical results obtained, we find that scalar field ...

Abstract: The successive convex approximation (SCA) methods stand out as the viable option for nonlinear optimization-based control, as it effectively addresses the challenges posed by nonlinear ...

We re-examine the semiclassical approximation in the canonical formulation of quantum gravity. It is shown that the usual interpretation of a WKB state does not give an adequate semiclassical ...

Path A series of points joined by straight line segements. Bezier Curve A polynomial curve defined by a list of control points. The curve starts at the first control point and ends at the last one.