The ability to automatically discover patterns and perform extrapolation is an essential quality of intelligent systems. Kernel methods, such as Gaussian processes, have great potential for pattern extrapolation, since the kernel flexibly and interpretably controls the generalisation properties of these methods. However, automatically extrapolating large scale multidimensional patterns is in ge...

Efficient storage and retrieval of large multidimensional datasets is an important concern for large-scale scientific computations such as long-running time-dependent simulations which periodically generate snapshots of the state. The main challenge for efficiently handling such datasets is to minimize response time for multidimensional range queries. The grid file is one of the well known acce...

The study proposes an item response curve defined in terms of a logistic function of differences be tween unknown scale values. Two Examples are presented to illustrate the proposed model. In the first example, data on subjective likelihood of rain-fall statements are analysed by the proposed model and dual scaling, noting inferential properties of the estimated scale values being the most rema...

OBJECTIVE To investigate the correlation of fatigue with pain in rheumatoid arthritis patients and with disability in osteoarthritis patients. METHODS Twenty patients with rheumatoid arthritis and 20 patients with osteoarthritis were evaluated. The degree of fatigue was evaluated with a visual analogue scale and the Multidimensional Assessment of Fatigue. Pain was evaluated with a visual anal...

design methods for paraunitary matrices from complete orthogonal sets of idempotents and related matrix structures are presented. these include techniques for designing non-separable multidimensional paraunitary matrices. properties of the structures are obtained and proofs given. paraunitary matrices play a central role in signal processing, in particular in the areas of filterbanks and wavelets.

In service quality evaluation we have to treat data having different kinds of scales. In order to obtain a measure of the service quality level a conventional ordinal rating scale for each attribute of a service is used. Moreover additional information on the customers or on the objective characteristics of the service is available (interval, ordinal and or categorical scale). In the latter the...

This paper proposes an approach for data modelling in five dimensions. Apart from three dimensions for geometrical representation and a fourth dimension for time, we identify scale as fifth dimensional characteristic. Considering scale as an extra dimension of geographic information, fully integrated with the other dimensions, is new. Through a formal definition of geographic data in a conceptu...