Abstract: The present invention extends to methods, systems, and computing system program products for elimination of rounding error accumulation in iterative calculations for Big Data or streamed data. Embodiments of the invention include iteratively calculating a function for a primary computation window of a pre-defined size while incrementally calculating the function for one or more backup computation windows started at different time points and whenever one of the backup computation windows reaches a size of the pre-defined size, swapping the primary computation window and the backup computation window. The result(s) of the function is/are generated by either the iterative calculation performed for the primary computation window or the incremental calculation performed for a backup computation window which reaches the pre-defined size.

Abstract: The present invention extends to methods, systems, and computing system program products for elimination of rounding error accumulation in iterative calculations for Big Data or streamed data. Embodiments of the invention include iteratively calculating a function for a primary computation window of a pre-defined size while incrementally calculating the function for one or more backup computation windows started at different time points and whenever one of the backup computation windows reaches a size of the pre-defined size, swapping the primary computation window and the backup computation window. The result(s) of the function is/are generated by either the iterative calculation performed for the primary computation window or the incremental calculation performed for a backup computation window which reaches the pre-defined size.

Abstract: The present invention extends to methods, systems, and computing system program products for elimination of rounding error accumulation in iterative calculations for Big Data or streamed data. Embodiments of the invention include iteratively calculating a function for a primary computation window of a pre-defined size while incrementally calculating the function for one or more backup computation windows started at different time points and whenever one of the backup computation windows reaches a size of the pre-define size, swapping the primary computation window and the backup computation window. The result(s) of the function is/are always generated by the iterative calculation performed for the primary computation window. Elimination of rounding error accumulation enables a computing system to steadily and smoothly run iterative calculations for unlimited number of iterations without rounding error accumulation.

Abstract: The present invention extends to methods, systems, and computing system program products for dynamic correlation batch calculation for Big Data. Embodiments of the invention include calculating a correlation for a modified computation set based on a group of components calculated for the pre-modified computation set and one or more groups of components calculated for a computation set to be excluded from the pre-modified computation set and a computation set to be included in the pre-modified computation set, where the size of the to-be-included computation set may or may not be equal to the size of the to-be-excluded computation set. When the size of the to-be-excluded computation set is smaller than half the size of the pre-modified computation set, dynamic correlation batch calculation may reduce computations thereby increasing calculation efficiency, saving computation resources, and reducing computing system's power consumption.