Abstract: A system and method generates and displays an interactive space-filling graphical representation of a model based at least in part on a dataset having data items. The space-filling graphical representation may have a plurality of segments arranged to realize a type of visualization and sized in proportion to a number of data items represented by the segment to convey particular information about the dataset.

Abstract: A method of determining one or more association rules includes: specifying site-sequence values for users, wherein each user is identified with one of a plurality of engagement levels, and the site-sequence values indicate a sequence from a first site to a second site for at least one user identified with a corresponding engagement level; determining cumulative site-sequence values from the site-sequence values for combinations of pairs of sites and distinct engagement levels; determining likelihood values from the cumulative site-sequence values, wherein the likelihood values characterize probabilities for sequences between sites at distinct engagement levels; determining one or more association rules for pairs of sites from one or more corresponding likelihood values at one or more engagement levels, wherein each association rule indicates a sequential association between a corresponding pair of sites; determining one or more confidence values for the one or more association rules by calculating one or more

Abstract: A method of determining market-share trends includes: specifying values for switching between pairs of search tools for a user; determining values for a transition matrix between the search tools from the switching values; determining steady-state values from the transition matrix for characterizing a steady state arising from a sequential operation of the transition matrix, wherein the steady-state values characterize market-share trends for the search tools; and saving one or more values for the steady state values.

Abstract: A method of determining one or more association rules includes: specifying site-sequence values for users, wherein each user is identified with one of a plurality of engagement levels, and the site-sequence values indicate a sequence from a first site to a second site for at least one user identified with a corresponding engagement level; determining cumulative site-sequence values from the site-sequence values for combinations of pairs of sites and distinct engagement levels; determining likelihood values from the cumulative site-sequence values, wherein the likelihood values characterize probabilities for sequences between sites at distinct engagement levels; determining one or more association rules for pairs of sites from one or more corresponding likelihood values at one or more engagement levels, wherein each association rule indicates a sequential association between a corresponding pair of sites; determining one or more confidence values for the one or more association rules by calculating one or more

Abstract: A system is provided for allocating combinations of search results, types of space, and/or other information from different sources (e.g., search engines) in which a type of space, search results, and/or other information from at least one source or type or from each source or type, for example, are optimized to obtain an optimum commercial value. Using the example of a search, a commercial metric and a user satisfaction metric are established for search terms and used in the optimization process. In calculating the commercial value and the user satisfaction value for a set of search results, the weight given to the commercial value and the user satisfaction value of a search result is different depending on its source. Optionally, keeping the user satisfaction value above a certain threshold is treated as a constraint while optimizing the commercial value. Alternatively, a tradeoff may be allowed between the minimum threshold for the user satisfaction and a better commercial value.

Abstract: A system is provided for allocating combinations of search results, types of space, and/or other information from different sources (e.g., search engines) in which a type of space, search results, and/or other information from at least one source or type or from each source or type, for example, are optimized to obtain an optimum commercial value. Using the example of a search, a commercial metric and a user satisfaction metric are established for search terms and used in the optimization process. In calculating the commercial value and the user satisfaction value for a set of search results, the weight given to the commercial value and the user satisfaction value of a search result is different depending on its source. Optionally, keeping the user satisfaction value above a certain threshold is treated as a constraint while optimizing the commercial value. Alternatively, a tradeoff may be allowed between the minimum threshold for the user satisfaction and a better commercial value.