Abstract: A method for determining simulation data. The method includes: providing a simulation probability distribution including a number x of simulation time series, and providing a reference probability distribution including a number y of reference time series; determining a first Gaussian random process for the simulation probability distribution, and determining a second Gaussian random process for the reference probability distribution, a Gaussian random process being assigned a mean and a covariance matrix; calculating a model error with the aid of the 2-Wasserstein distance between the first Gaussian random process and the second Gaussian random process over the Euclidian distance of the means of the first and second Gaussian random processes and the trace of the covariance matrices of the first and second Gaussian random processes; and determining a family of simulation probability distributions by integrating the model form error into an updated Gaussian random process.

Abstract: A computer-implemented method for validating simulation data of a simulation model of a technical system. The method includes: providing simulation data including a number of simulation signals and providing reference data including a number of reference signals, the simulation signals and reference signals being multidimensional signals, at least two-dimensional signals; and determining a score map between a first probability distribution including the simulation data and a second probability distribution including the reference data using the Wasserstein metric, the determination of the score map including: creating a score matrix based on the simulation signals and the reference signals; converting the score matrix into a cost matrix; calculating optimal transport costs for the cost matrix, and converting the optimal transport costs into the score map.

Abstract: A computer-implemented method for validating simulation data of a simulation model of a technical system. The method includes the following steps: providing a number n of simulation signals for a number N of QOIs (Quantities of Interest), of the simulation model and providing a number m of reference signals for a number N of QOIs of a reference corresponding to the QOIs of the simulation model; determining a particular metric for the N QOIs, determining an overall metric based on the N metrics, at least one metric of the N metrics being taken into consideration in weighted form in the overall metric using a respective weighting coefficient, and determining an overall difference between the n simulation signals and m reference signals, using the Wasserstein metric based on the overall metric.

Abstract: A computer-implemented method for validating simulation data of a simulation model of a technical system. The method includes the following steps: providing simulation data including a number of simulation signals and providing reference data including a number of reference signals, the simulation signals and the reference signals being multidimensional signals, at least two-dimensional signals, and determining a metric between a first probability distribution including the simulation data and a second probability distribution including the reference data by using the 1 Wasserstein metric.

Abstract: A method for simulating a technical system. Time series are obtained with the aid of a simulation model of the system, variable values being assigned to at least one epistemic parameter of the simulation model, at least one measurement series is obtained by corresponding measurements on the system, for each value of the epistemic parameter, a real-value error measure of the time series obtained for this value with respect to the measurement series and a distribution function of the error measure are calculated, and for the simulation, that value is used, for which the distribution function has the smallest distance to a Heaviside function.

Abstract: A system and method for using a payment device having identifying numbers configured in aligned segments in order to facilitate use of the payment device. A mobile device generates a Web page, the Web page having four vertically stacked windows, each for receiving first, second, third, and fourth segments of a payment account number, respectively. The mobile device receives entry of the first, second, third, and fourth segments of the payment account number into the four vertically stacked windows, respectively. The mobile device transmits the payment account number to a Web site, wherein the Web site performs a payment transaction using the payment account number.

Abstract: A system includes instantiation of a plan generation environment exposing one or more software hooks, each of the one or more software hooks associated with a respective one of a plurality of steps for generating a database table partition redistribution plan, identification, for of the one or more software hooks, of an associated one or more software modules for performing the step associated with the at least one software hook, and execution of the plan generation environment and the identified one or more software modules to generate a database table partition redistribution plan.