Abstract: One aspect of the invention is a method for assigning categorical data to a plurality of clusters. The method includes identifying a plurality of categories associated with the data. The method also includes, for each category in the plurality of categories, identifying at least one element associated with the category. The method also includes specifying a number of clusters to which the data may be assigned. The method additionally includes assigning at least some of the data, wherein each assigned datum is assigned to a respective one of the clusters. The method further includes, for at least one of the clusters, determining, for at least one category, the frequency in data assigned to the cluster of at least one element associated with the category. Further, the invention provides for detecting outliers, anomalies, and exemplars in the categorical data.

Abstract: A term-by-document (or part-by-collection) matrix can be used to index documents (or collections) for information retrieval applications. Reducing the rank of the indexing matrix can further reduce the complexity of information retrieval. A method for index matrix rank reduction can involve computing a singular value decomposition and then retaining singular values based on the singular values corresponding to singular values of multiple topics. The expected singular values corresponding to a topic can be determined using the roots of a specially formed characteristic polynomial. The coefficients of the special characteristic polynomial can be based on computing the determinants of a Gram matrix of term (or part) probabilities, a method of recursion, or a method of recursion further weighted by the probability of document (or collection) lengths.

Abstract: A term-by-document (or part-by-collection) matrix can be used to index documents (or collections) for information retrieval applications. Reducing the rank of the indexing matrix can further reduce the complexity of information retrieval. A method for index matrix rank reduction can involve computing a singular value decomposition and then retaining singular values based on the singular values corresponding to singular values of multiple topics. The expected singular values corresponding to a topic can be determined using the roots of a specially formed characteristic polynomial. The coefficients of the special characteristic polynomial can be based on computing the determinants of a Gram matrix of term (or part) probabilities, a method of recursion, or a method of recursion further weighted by the probability of document (or collection) lengths.

Abstract: One aspect of the invention is a method for identifying at least one property of data. An example of the method includes receiving data, and making assessments regarding the data. The method also includes applying at least one behavioral operator, and outputting results. The method further comprises receiving feedback concerning system performance. Additionally, the method includes adjusting at least one parameter based on the feedback received concerning system performance, wherein the at least one parameter is a parameter of a machine learning method.

Abstract: A term-by-document (or part-by-collection) matrix can be used to index documents (or collections) for information retrieval applications. Reducing the rank of the indexing matrix can further reduce the complexity of information retrieval. A method for index matrix rank reduction can involve computing a singular value decomposition and then retaining singular values based on the singular values corresponding to singular values of multiple topics. The expected singular values corresponding to a topic can be determined using the roots of a specially formed characteristic polynomial. The coefficients of the special characteristic polynomial can be based on computing the determinants of a Gram matrix of term (or part) probabilities, a method of recursion, or a method of recursion further weighted by the probability of document (or collection) lengths.

Abstract: A computer implemented system and method for requesting, gathering, evaluating, and scoring knowledge. The system includes a first user interface for allowing a first group of users to define prompts and response choices, a second user interface for allowing a second group of users to view prompts and select response choices and view prompts without response choices and enter responses, and a third user interface for allowing a third group of users to evaluate previously-entered response by viewing the responses and selecting response choices. The system may automatically score the responses of the second group using scoring elements embedded in the response choices. The system may also include a relational database of related tables for storing the prompts, response choices, responses, evaluations, and user information. The system may also limit a user's access to various records based on the user's profile or a user responsibility associated with the user.

Abstract: A term-by-document (or part-by-collection) matrix can be used to index documents (or collections) for information retrieval applications. Reducing the rank of the indexing matrix can further reduce the complexity of information retrieval. A method for index matrix rank reduction can involve computing a singular value decomposition and then retaining singular values based on the singular values corresponding to singular values of multiple topics. The expected singular values corresponding to a topic can be determined using the roots of a specially formed characteristic polynomial. The coefficients of the special characteristic polynomial can be based on computing the determinants of a Gram matrix of term (or part) probabilities, a method of recursion, or a method of recursion further weighted by the probability of document (or collection) lengths.

Abstract: A facing material for a power transmission-absorption assembly is shown and described. In one embodiment, the facing material includes a plurality of first channels having a first, deep depth and a plurality of second channels having a second, shallow depth. One or more of the plurality of second channels may be superimposed or in fluid communication with the first channels to enable fluid to flow across the surface 12c and through the first channel to achieve the desired fluid flow characteristics. The second channels may be defined by a connector that has varying shapes to further facilitate the desired fluid flow characteristics. The material may be used in a power transmission-absorption environment such as on a blocker synchronizer ring, clutch plate or the like.

Abstract: A system and method are shown for reducing material in a core which receives a plurality of segments. The invention may further include a plurality of segmented pieces that are arranged to provide a plurality of gaps that lie in a predetermined sweep angle and that may comprise a scoop for facilitating channeling fluid into a gap between adjacent material segments. Various manufacturing approaches are also disclosed for manufacturing and assembling a ring for use in a traditional transmission or clutch plate manufacturing and assembly system.

Abstract: An electrically operated random number selector has a main housing with top and bottom walls. A number selection turntable assembly is mounted at the top wall of the housing which contains a power source for rotating the turntable assembly and a power control member at the bottom wall of the housing. When the selector is resting on a support surface the power control member is held in a power off position at the bottom wall of the housing and when the selector is lifted off of the support surface, the power control member is automatically movable to a power on position extending downwardly from the bottom wall of the selector.

Abstract: Disclosed are several embodiments (10, 30, 40, 50, 60) of an award assembly having a colorized and reflective appearance. The award assemblies include a base (11, 36, 84, 62) having a reflective surface (18, 87, 72). The award assemblies have three-dimensional uprights or prisms (10, 31, 32, 33, 40, 50, 88, 61) which are made of transparent acrylic. A solvent (25) such as methylene chloride fuses the prism to the base. Also disclosed is a method for making award assemblies.

Abstract: A new and distinct cultivar of Azalea plant named ‘RLH1-4P19’, characterized by its compact, upright, outwardly spreading and globose plant habit; freely branching habit; dense, bushy and vigorous growth habit; evergreen and persistent dark green-colored leaves that do not abscise during the winter; freely flowering habit during spring and from summer until frost in autumn; large purple-colored flowers that are not persistent; single star-shaped flower form; and excellent garden performance.