RanaThe Rana function is a non-separable, highly multimodal function. The left figure shows the two dimensional landscape of the non-rotated version. The best solutions are at the corners. Applying a simple parameter shift makes this function non-symmetric. The right figure shows the rotated version. back |
F101Like the Rana function, F101 is a non-separable and highly multimodal. The left figure shows the two dimensional non-rotated landscape. The right landscape has been rotated 20 degrees. back |
SchwefelThe schwefel function is symmetric, separable and multimodal (left). Rotating this function creates a non-separable surface with similar features (Salomon 1996). back |
RosenbrockRosenbrock's function is symmetric, unimodal and non-separable. The long narrow ridge makes this problem difficult for some algorithms. Rotation makes this problem easier for most algorithms. back |
Static CorrectionsThere are many difficult optimization problems in geophysics. One such problem is the ``static corrections'' problem, where seismic reflection surveys are used to construct subsurface images of geologic strata.We introduce a synthetic static correction problem as a test function. The figure below shows a single trial of CHC on this problem. Notice that the target profile is not actually the optimal solution. back | |