Abstract: A method and system determines capacity needs of components in a distributed computer system. In the method and system, a pair-wise invariant network is determined from collected flow intensity measurements. The network includes at least two separate and unconnected pair-wise invariant subnetworks, each of the subnetworks including two of the flow intensity measurements connected by a pairwise invariant, each of the pair-wise invariants characterizing a constant relationship between their two connected flow intensity measurements. At least one overlay invariant is determined from the pair-wise invariant network and from the collected flow intensity measurements using a minimal redundancy least regression process. The capacity needs of the components are determined using the pair-wise and overlay invariants.

Abstract: A system, method and computer program product provides for multiple imputation of missing data elements in retail data sets used for modeling and decision-support applications based on the multi-dimensional, tensor structure of the data sets, and a fast, scalable scheme is implemented that is suitable for large data sets. The method generates multiple imputations comprising a set of complete data sets each containing one of a plurality of imputed realizations for the missing data values in the original data set, so that the variability in the magnitudes of these missing data values can be captured for subsequent statistical analysis. The method is based on the multi-dimensional structure of the retail data sets incorporating tensor factorization, that in a preferred embodiment can be implemented using fast, scalable imputation methods suitable for large data sets, to obtain multiple complete data sets in which the original missing values are replaced by various imputed values.

Abstract: A system, method and computer program product provides for multiple imputation of missing data elements in retail data sets used for modeling and decision-support applications based on the multi-dimensional, tensor structure of the data sets, and a fast, scalable scheme is implemented that is suitable for large data sets. The method generates multiple imputations comprising a set of complete data sets each containing one of a plurality of imputed realizations for the missing data values in the original data set, so that the variability in the magnitudes of these missing data values can be captured for subsequent statistical analysis. The method is based on the multi-dimensional structure of the retail data sets incorporating tensor factorization, that in a preferred embodiment can be implemented using fast, scalable imputation methods suitable for large data sets, to obtain multiple complete data sets in which the original missing values are replaced by various imputed values.

Abstract: A method and system determines capacity needs of components in a distributed computer system. In the method and system, a pair-wise invariant network is determined from collected flow intensity measurements. The network includes at least two separate and unconnected pair-wise invariant subnetworks, each of the subnetworks including two of the flow intensity measurements connected by a pairwise invariant, each of the pair-wise invariants characterizing a constant relationship between their two connected flow intensity measurements. At least one overlay invariant is determined from the pair-wise invariant network and from the collected flow intensity measurements using a minimal redundancy least regression process. The capacity needs of the components are determined using the pair-wise and overlay invariants.