The 1-D nonlinear differential operator (f) = (11)2 If" has been recently introduced to signal processing and has been found very useful for estimating the parameters of sinusoids and the modulating signals of AM—FM signals. It is called an energy operator because it can track the energy of an oscillator source generating a sinusoidal signal. In this paper we introduce the multidimensional exte...

Accessing geomedia (i.e. geographic multimedia) documents is becoming a major application area where new information management strategies are needed. The concept of multidimensional data is an effective approach to reduce the complexity of structural access management. As XML becomes a key point both for data representation and transactions, it is necessary to investigate all improvements rela...

Nonnegative Tensor Factorization (NTF) is an emerging technique in multidimensional signal analysis and it can be used to find partsbased representations of high-dimensional data. Inmany applications such as multichannel spectrogram processing or multiarray spectra analysis, the unknown features have locally smooth temporal or spatial structure. In this paper, we incorporate to an objective fun...

Structural properties of stochastic dynamic programs are essential to understanding the nature of the solutions and in deriving appropriate approximation techniques. This is especially important in the case of multidimensional Markov decision processes where the state space, action space or outcome space are large and optimal solutions become computationally intractable. We concentrate on a cla...

We consider 3D shape description as a probability modeling problem. The local surface properties are first measured via various features, and then the probability density function (pdf) of the multidimensional feature vector becomes the shape descriptor. Our prior work has shown that, for 3D object retrieval, pdf-based schemes can provide descriptors that are computationally efficient and perfo...

Multidimensional persistence modules do not admit a concise representation analogous to that provided by persistence diagrams for real-valued functions. However, there is no obstruction for multidimensional persistent Betti numbers to admit one. Therefore, it is reasonable to look for a generalization of persistence diagrams concerning those properties that are related only to persistent Betti ...

Abstract. Multidimensional scaling is a technique for exploratory analysis of multidimensional data widely usable in different applications. By means of this technique the image points in a lowdimensional embedding space can be found whose inter-point distances fit the given dissimilarities between the considered objects. In this paper dependence of relative visualization error on the dimension...

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...

In this note we consider the properties of the Hamming distance in combinatorial optimization problems on hypergraph matchings, also known as multidimensional assignment problems. It is shown that the Hamming distance between feasible solutions of hypergraph matching problems can be computed as an optimal value of linear assignment problem. For random hypergraph matching problems, an upper boun...

The genesis of some types of patterned ground, including hummocks, frost boils and sorted stone circles, has been attributed to differential frost heave (DFH). However, a theoretical model that adequately describes DFH has yet to be developed and validated. In this paper, we present a mathematical model for the initiation of DFH, and discuss how variations in physical (i.e. soil/vegetation prop...