Uncertainty processing methods are analysed from the viewpoint of their sensitivity to small variations of certainty factors. The analysis makes use of the algebraic theory which defines the function for combining partial certainty factors by means of a group operation of the ordered Abelian group over the interval of uncertainty. Two approaches are introduced: (a) sensitivity analysis of the i...

Missing data imputation estimates the clean speech features for automatic speech recognition in noisy environments. The estimates are usually considered equally reliable while in reality, the estimation accuracy varies from feature to feature. In this work, we propose uncertainty measures to characterise the expected accuracy of a sparse imputation (SI) based missing data method. In experiments...

This paper proposes non-parametric measures for the fuzzy ARTMAP computational neural network to handle spatial uncertainty in remotely sensed imagery classification, i.e., ART Commitment (ART-C) and ART Typicality (ART-T), expressing in the first case the degree of commitment a classifier has for each class for a specific pixel, and in the second case, how typical that pixel’s reflectances are...

C. Shannon revolutionized the design of information systems by showing that the logarithm of independent probabilities were additive and constituted a unit of measure for information. Because ln p  is additive, basic analytics could be applied to information, such as the average which forms entropy and the average difference which forms divergence. Unnecessarily neglected in this formative fra...

Modern spectral estimation techniques often rely on second order statistics of a time-series to determine a power spectrum consistent with data. Such statistics provide moment constraints on the power spectrum. In this paper we study possible distance functions between spectra which permit a reasonable quantitative description of the uncertainty in moment problems. Typically, there is an infini...

Position uncertainty (delocalization) measures for a particle on the sphere are proposed and illustrated on several examples of states. The new measures are constructed using suitably the standard multiplication angle operator variances. They are shown to depend solely on the state of the particle and to obey uncertainty relations of the Schrödinger-Robertson type. A set of Hermitian operators ...

In this study we consider how to more accurately identify the possible impact of systemic risk on spatial dependence related most significant financial crises over last 17 years: Lehman Brothers bankruptcy, sub-prime mortgage crisis, European debt Brexit and COVID-19 pandemic which has also affected markets. We analyse two new dynamic distances applied stock markets based exogenous criteria kno...

Short-term production plans are the basis for operational mine production schedules. They concentrate on making long-term mine plans operationally feasible. Furthermore, some variables such as ore grade and tonnage govern mine production systems and cause uncertainty in the supply of raw materials to the mills. Due to the quality variation of material, short-term production optimization is an u...