. The purpose of inverse problems is to identify the unknown causes or parameters based on observable effects measurements in a variety scientific and technical domains. To arrive at precise trustworthy solutions, numerical algorithms for must be designed optimised. creation optimisation specifically created solving issues are presented detail this abstract.The formulation mathematical models t...

Inverse optimization—determining parameters of an optimization problem that render a given solution optimal—has received increasing attention in recent years. Although significant inverse literature exists for convex problems, there have been few advances discrete despite the ubiquity applications fundamentally rely on decision making. In this paper, we present new set theoretical insights and ...

Summary We consider forecasting a single time series using large number of predictors in the presence possible nonlinear forecast function. Assuming that affect response through latent factors, we propose to first conduct factor analysis and then apply sufficient dimension reduction on estimated factors derive reduced data for subsequent forecasting. Using directional regression inverse third-m...

Realistic animation of soft objects such as cloth is essential for plausible character animation. Many techniques have been proposed for the simulation of soft objects, and most of them are based on numerical integration. Among the techniques, the implicit integration method is the most likely technique for realtime environments, since it allows large time steps for cloth simulation by ensuring...