Abstract: A method of mining frequent items in data is described. Categorical associations between elements of data are the core of information contained in the data and are all that is needed to perform data mining. These associations are extracted from data and held in optimized associative matrices whose structure is independent of the nature and structure of the data. All data mining operations and discoveries can be performed using only these associative matrices which provides many advantages over present methods. It allows real-time interactive navigation through the information in the data, enables efficient automatic and user guided determination of the most highly correlated data components, and a winnowing navigation through a large number of automatically determined associations, as for example frequent item sets, amongst which the needle-in-the-haystack may be more easily found.

Abstract: Methods of computing the results of logical operations on large sets are described which coax a processor to utilize efficiently processor caches and thereby reduce the latency of the results. The methods are particularly useful in parallel processing systems. Such computations can improve the evaluation of queries, particularly queries in faceted navigation and TIE systems.

Abstract: Systems and methods are described which use associations between field values, more generally terms, called selectors, and data items, or structures within data items. The associative information is derived from the content of data and can be stored in optimal data structures, generally descriptively named associative matrices, which may be used to perform searches and calculations of data analytics. In some embodiments, calculations use only selector values and their counts, called frequencies, of associated data items, and/or structures within those items. Special queries, executed on the associative information, determine the frequencies. Methods of data analysis use the results of these queries. Applications can display results dynamically as a user creates queries by choosing selectors, changing the queries, and creating new ones, completely intuitively, using point and click.