Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium. In one aspect, a method includes receiving, from a content distributor, plan data specifying a set of distribution plans that cause distribution of content. Instructions are transmitted to publishers to submit secret shares of a multi-register sketch representing presentations of the content. A notification that the content distributor has requested an analysis of the presentations of the content is sent to a multi-party computing group. A result share of the analysis of the presentation of the content is received from multiple MPC devices in the MPC group. A set of result shares received from the of MPC devices are transmitted to the content distributor.

Abstract: In one aspect, there is provided a method performed by one or more computers that includes: obtaining an observed frequency histogram corresponding to an observed transmission commitment, where a transmission commitment specifies a number of transmissions of a digital component; generating a frequency model based on the observed frequency histogram, where the frequency model is a parametric model parameterized by a set of model parameters; receiving a request to predict a frequency histogram corresponding to a target transmission commitment; processing data defining the target transmission commitment using the frequency model to generate a predicted frequency histogram corresponding to the target transmission commitment; and generating one or more predictions characterizing the target transmission commitment using the predicted frequency histogram.

Abstract: In one aspect, there is provided a method that includes: obtaining multiple input frequency histograms that each correspond to a respective transmission commitment, where a transmission commitment corresponds to a subset of publishers from a set of publishers; generating a frequency model based on the input frequency histograms, where the frequency model is a parametric model parameterized by a set of model parameters that include a correlation matrix with a respective correlation value for each pair of publishers from the set of publishers; receiving a request to predict a frequency histogram for a target transmission commitment corresponding to a target subset of publishers; generating a predicted frequency histogram for the target transmission commitment using the frequency model; and generating one or more predictions characterizing the target transmission commitment using the predicted frequency histogram.