Multidimensional access methods are considered to be a promising approach for providing acceptable performance to analysis-centric applications. However, despite the large body of research work in this field, the commercial support for multidimensional indexes is still very weak. The reason for this discrepancy is threefold: first, no standard multidimensional index like the B-Tree for one-dime...

For an important family of linear shift-invariant multidimensional maps that take (measurable) bounded inputs into bounded outputs, necessary and sufficient conditions are given for the existence of convolution representations with integrable impulse responses. Key-Words: linear systems, convolutions, multidimensional systems, impulse responses, shift-invariant systems, bounded measurable inputs.

A class of multidimensional hybrid linear systems is presented, with the time vector composed by q continuous-time real components and by r discrete-time integer ones, q, r ≥ 1. The state equation is of multidimensional partial differential-difference type. A generalized variation-of-parameters formula is provided and it is used to obtain the state and the general response of the system. The fu...

This study focuses on developing the multicriteria collaborative filtering algorithm for improving the prediction accuracy. The approaches applied were user-item multirating matrix decomposition, the measurement of user similarity using cosine formula and multidimensional distance, individual criteria weight calculation, and rating prediction for the overall criteria by a combination approach. ...

The nature and types of information in a dynamic battle eld environment ranges from georeferenced satellite images and terrain elevation to maps containing terrain features like roads, enemy unit deployment, activities and targets to spatio-temporal objects like logistic, tactical, and collection management plans. E cient processing of queries over such objects in a database requires support of...

The development of a data warehouse system is based on a conceptual multidimensional model, which provides a high level of abstraction in the accurate and expressive description of real-world situations. Once this model has been designed, the corresponding logical representation must be obtained as the basis of the implementation of the data warehouse according to one specific technology. Howev...

One of the most serious shortcomings of multidimensional languages is their inability to collaborate with conventional programming languages and systems. Multidimensional languages are used in order to define (potentially infinite) streams, grids, cubes, and so on, concepts which resemble in nature to the familiar imperative arrays. The main difference is that the former entities are lazy while...