This presentation discusses the use of an interval analysis based global optimization approach for the systematic design of cleaning solvent blends (commonly referred to as blanket washes) for lithographic printing. The simultaneous consideration of associated process constraints, property requirements, and environmental restrictions makes the blanket wash design a rather difficult problem. To ...

The problem considered here is state estimation in the presence of bounded process and measurement noise. A new nonlinear state estimator, based on interval analysis and the notion of set inversion, is applied to robot localization and tracking. This estimator evaluates a set guaranteed to contain all values of the state that are consistent with the available observations, given the noise bound...

The generation interval is the time between the infection time of an infected person and the infection time of his or her infector. Probability density functions for generation intervals have been an important input for epidemic models and epidemic data analysis. In this paper, we specify a general stochastic SIR epidemic model and prove that the mean generation interval decreases when suscepti...

A robot is typical of systems that are inherently submitted to uncertainties although they should be highly reliable (i.e. for a robot used in surgical applications). The sources of uncertainties are the manufacturing tolerances of the mechanical parts constituting the robot which make the real robot always different from its theoretical model and control errors. We exhibit properties of a robo...

The problem of the sample variance computation for epistemic inter-val-valued data is, in general, NP-hard. Therefore, known efficient algorithms for computing variance require strong restrictions on admissible intervals like the no-subset property or heavy limitations on the number of possible intersections between intervals. A new asymptotic algorithm for computing the upper bound of the samp...

This paper studies how to conduct efficiency assessment using data envelopment analysis (DEA) in interval and/or fuzzy input–output environments. A new pair of interval DEA models is constructed on the basis of interval arithmetic, which differs from the existing DEA models handling interval data in that the former is a linear CCR model without the need of extra variable alternations and uses a...

| The more complex the problem, the more complex the system necessary for solving this problem. For very complex problems, it is no longer possible to design the corresponding system on a single resolution level, it becomes necessary to have multi-level, multiresolutional systems , with multi-level granulation. When analyzing such systems { e.g., when estimating their performance and/or their i...

We examine the use of hidden Markov and hidden semi-Markov models for automatically segmenting an electrocardiogram waveform into its constituent waveform features. An undecimated wavelet transform is used to generate an overcomplete representation of the signal that is more appropriate for subsequent modelling. We show that the state durations implicit in a standard hidden Markov model are ill...

Our approach, using a set-inversion method in a bounded-error context, enables to compute a position fix in the form of a localization area taking into account all sources of error (notably space vehicles position errors) without linearizing. The method computes an integrity zone recursively using bisection. Robustness can also be achieved with several simultaneous faulty measurements. A way to...