Abstract: Systems and methods for measuring similarity between a first set of clusters and a second set of clusters apply a first clustering procedure and a second clustering procedure to a set of objects to cluster the objects into a first set of clusters and a second set of clusters, respectively, calculate a similarity index between the first set of clusters and the second set of clusters, calculate an expected value of the similarity index, wherein the expected value is a value of the similarity index one would expect to obtain, on average, between a randomly generated third set of clusters and a randomly generated fourth set of clusters with a same number of clusters as the first set of clusters and the second set of clusters, respectively, and adjust the calculated similarity index based on the expected value of the similarity index.

Abstract: Systems and methods for summarizing a video assign frames in a video to at least one of two or more groups based on a topic, generate a respective first similitude measurement for the frames in a group relative to the other frames in the group based on a feature, rank the frames in a group relative to one or more other frames in the group based on the respective first similitude measurement of the respective frames, and select a frame from each group as a most-representative frame based on the respective rank of the frames in a group relative to the other frames in the group.

Abstract: Systems and methods for summarizing a video assign frames in a video to at least one of two or more groups based on a topic, generate a respective first similitude measurement for the frames in a group relative to the other frames in the group based on a feature, rank the frames in a group relative to one or more other frames in the group based on the respective first similitude measurement of the respective frames, and select a frame from each group as a most-representative frame based on the respective rank of the frames in a group relative to the other frames in the group.

Abstract: Systems and methods for measuring similarity between a first set of clusters and a second set of clusters apply a first clustering procedure and a second clustering procedure to a set of objects to cluster the objects into a first set of clusters and a second set of clusters, respectively, calculate a similarity index between the first set of clusters and the second set of clusters, calculate an expected value of the similarity index, wherein the expected value is a value of the similarity index one would expect to obtain, on average, between a randomly generated third set of clusters and a randomly generated fourth set of clusters with a same number of clusters as the first set of clusters and the second set of clusters, respectively, and adjust the calculated similarity index based on the expected value of the similarity index.

Abstract: A seismic vibrator has a baseplate composed at least partially of a composite material. The baseplate has a body composed of the composite material and has top and bottom plates composed of a metallic material. The top plate supports isolators for isolating the vibrator's mass and frame from the baseplate. Internally, the composite body has a central structure to which couple stilts for supporting the mass and a piston for the vibrator's actuator. A lattice structure surrounds the central structure. This lattice structure has radial ribs extending from the central structure and has radial ribs interconnecting the radial ribs.

Abstract: Indexing a data set of objects, where the data set is partitioned into plural work units with plural objects and distributed to multiple data process nodes. Each data processing node maps the plural objects in corresponding work units into respective ones of given sub-indexes. A composite index is constructed for the objects in the data set by reducing the mapped objects, where reducing the mapped objects is distributed among multiple data processing nodes.