In Rijeka of the 1950s professor Drago Vrbanić was well-known as an excellent gynaecologist and surgeon, especially in the field of gynaecological malignant tumours. He headed the gynaecological and radiology departments of the Sobol Brothers General Hospital, and successfully applied several radiotherapy methods. Later in the 1960s, he introduced modern classification of tumours and multidisci...

We try to understand the various components affecting the stability of tunneling and wellbore operations. We use a series of advanced finite element (FE) simulations to obtain a dataset which contains the stress response of the soil during drilling operations as a function of 12 input parameters. Using Multivariate Adaptive Regression Splines (MARS), we create a simplified model of the simulati...

Quasi Monte Carlo simulations are built on quasi random number generator (QRNG). Even if the use of a QRNG might lead to a faster convergence, for example with Monte Carlo integral computation, most of the simulation time can be taken by the number generation part. This paper present an optimization technique, called “unrolling” applied to QRNG. It consists in the generation and storage of rand...

This paper presents an efficient sampling-based algorithm for the estimation of the upper bounds of the total sensitivity indices. These upper bounds, introduced by Sobol’, are based on the integration of the classical (local) gradient sensitivity analysis within the whole parameter space of the inputs. Hence, in this work the idea is to repeat the estimation of the local sensitivity analysis a...

Global sensitivity analysis is an important tool for uncertainty analysis of systems with uncertain model parameters. A general framework for the determination of sensitivity measures for fuzzy uncertainty analysis is presented. The derivation is founded on the high-dimensional model representation, which provides a common basis with Sobol indices, illustrating the similarities and di erences o...

As recently pointed out in the field of Global Sensitivity Analysis (GSA) computer simulations, use replicated Latin Hypercube Designs (rLHDs) is a cost-saving alternative to regular Monte Carlo sampling estimate first-order Sobol’ indices. Indeed, two rLHDs are sufficient compute whole set those indices regardless number input variables. This relies on permutation trick which, however, only wo...

To improve the seismic connectivity reliability (SCR) analysis efficiency of water distribution systems (WDS) based on Monte Carlo (MC) simulation, quasi-Monte (QMC) method sampled by a low-discrepancy sequence is applied. Furthermore, parallel algorithm combined with breadth-first search for SCR WDS QMC and Compute Unified Device Architecture (CUDA) platform was proposed. A city taken as compu...

We present a novel method for quantifying dependencies in multivariate datasets, based on estimating the Rényi entropy by minimum spanning trees (MSTs). The length of the MSTs can be used to order pairs of variables from strongly to weakly dependent, making it a useful tool for sensitivity analysis with dependent input variables. It is well-suited for cases where the input distribution is unkno...