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Artykuły w czasopismach na temat „Sobol sensitivity method”

Autor: Grafiati

Data publikacji: 2 czerwca 2025

Data aktualizacji: 31 lipca 2025

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1

Chen, Lixin, Zhongxiang Xu, Desuo Huang, and Zhining Chen. "An Improved Sobol Sensitivity Analysis Method." Journal of Physics: Conference Series 2747, no. 1 (2024): 012025. http://dx.doi.org/10.1088/1742-6596/2747/1/012025.

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Abstract The Sobol method is a variance-based global sensitivity analysis method that evaluates single-input and multiple-input interaction effects by calculating the contribution of a single input to the output variance and the contribution of multiple inputs to the output variance. The Sobol method requires each input to obey a uniform distribution of U [0,1], but it is difficult to meet the requirements in practice. Taking the sum function as an example, this paper analyzes the inapplicability of the existing Sobol method when the input does not obey the uniform distribution U [0,1]. To sol

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Alves Borges, Luiz Felipe, Fabio Freitas Ferreira, Fábio Gonçalves, Antônio Espósito Junior, Aline Fernanda Da Silva Oliveira, and Wagner Rambaldi Telles. "IPSAL: Implementation of the module to generate the Sobol sequence and indices." VETOR - Revista de Ciências Exatas e Engenharias 33, no. 2 (2023): 60–69. http://dx.doi.org/10.14295/vetor.v33i2.16439.

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Sensitivity and uncertainty analysis hold significant importance across a range of applications, spanning from industrial problems to climate change, financial risk assessment, as well as mathematical and computational models. These analyses involve identifying influential input parameters in models to comprehend their impact on the output. Sensitivity analysis can be performed locally, examining parameter effects at a fixed value, or globally, evaluating the model across a range of parameter values. The Sobol method stands as a robust approach for global sensitivity analysis, employing a Sobo

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Herman, J. D., J. B. Kollat, P. M. Reed, and T. Wagener. "Technical Note: Method of Morris effectively reduces the computational demands of global sensitivity analysis for distributed watershed models." Hydrology and Earth System Sciences 17, no. 7 (2013): 2893–903. http://dx.doi.org/10.5194/hess-17-2893-2013.

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Abstract. The increase in spatially distributed hydrologic modeling warrants a corresponding increase in diagnostic methods capable of analyzing complex models with large numbers of parameters. Sobol' sensitivity analysis has proven to be a valuable tool for diagnostic analyses of hydrologic models. However, for many spatially distributed models, the Sobol' method requires a prohibitive number of model evaluations to reliably decompose output variance across the full set of parameters. We investigate the potential of the method of Morris, a screening-based sensitivity approach, to provide resu

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Herman, J. D., J. B. Kollat, P. M. Reed, and T. Wagener. "Technical note: Method of Morris effectively reduces the computational demands of global sensitivity analysis for distributed watershed models." Hydrology and Earth System Sciences Discussions 10, no. 4 (2013): 4275–99. http://dx.doi.org/10.5194/hessd-10-4275-2013.

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Abstract. The increase in spatially distributed hydrologic modeling warrants a corresponding increase in diagnostic methods capable of analyzing complex models with large numbers of parameters. Sobol' sensitivity analysis has proven to be a valuable tool for diagnostic analyses of hydrologic models. However, for many spatially distributed models, the Sobol' method requires a prohibitive number of model evaluations to reliably decompose output variance across the full set of parameters. We investigate the potential of the method of Morris, a screening-based sensitivity approach, to provide resu

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Pannier, Marie-Lise, Patrick Schalbart, and Bruno Peuportier. "Computationally efficient sensitivity analysis for building ecodesign with many-level categorical input factors." International Journal of Metrology and Quality Engineering 14 (2023): 15. http://dx.doi.org/10.1051/ijmqe/2023016.

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Dynamic building energy simulation and life cycle assessment (LCA) are useful ecodesign tools to mitigate the energy and environmental impacts of buildings. Various uncertain factors can affect the building energy and environmental modelling, including continuous and categorical factors (i.e., discrete factors without logical ranking). Sensitivity analysis (SA) is applied to identify the most influential factors on which additional research efforts are needed to increase the robustness of results. The Sobol method (Sobol) is the reference SA method, but it requires a significant amount of comp

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Wang, Qi, Haiyang Li, Lin Lu, Luyi Yang, and Shenquan Wang. "Global Sensitivity Analysis of Earth-Moon Transfer Orbit Parameters Based on Sobol Method." International Journal of Aerospace Engineering 2022 (May 29, 2022): 1–22. http://dx.doi.org/10.1155/2022/6587890.

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In the process of Earth-Moon transfer orbit, many parameters are involved and the degree of influence varies among the parameters. How to accurately distinguish the influence relationship between different parameters is of great significance to engineering missions. Based on Sobol sequence sampling method and Sobol global sensitivity analysis method, a calculation process of global sensitivity analysis is proposed in this paper for high-fidelity Earth-Moon transfer orbit. A numerical simulation method is used to verify that the Sobol sequence sampling method has better convergence and higher p

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Kalra, Tarandeep S., Alfredo Aretxabaleta, Pranay Seshadri, Neil K. Ganju, and Alexis Beudin. "Sensitivity analysis of a coupled hydrodynamic-vegetation model using the effectively subsampled quadratures method (ESQM v5.2)." Geoscientific Model Development 10, no. 12 (2017): 4511–23. http://dx.doi.org/10.5194/gmd-10-4511-2017.

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Abstract. Coastal hydrodynamics can be greatly affected by the presence of submerged aquatic vegetation. The effect of vegetation has been incorporated into the Coupled Ocean–Atmosphere–Wave–Sediment Transport (COAWST) modeling system. The vegetation implementation includes the plant-induced three-dimensional drag, in-canopy wave-induced streaming, and the production of turbulent kinetic energy by the presence of vegetation. In this study, we evaluate the sensitivity of the flow and wave dynamics to vegetation parameters using Sobol' indices and a least squares polynomial approach referred to

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8

Derakhshanfard, Rasoul, Ali Nourali, Moein Taheri, and Hamed Safikhani. "Performance analysis in square cyclones using Sobol statistical sensitivity analysis method." Mechanic of Advanced and Smart Materials 2, no. 4 (2023): 401–12. http://dx.doi.org/10.52547/masm.2.4.401.

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Guo, Jianbin, Shaohua Du, Yao Wang, and Shengkui Zeng. "Time-Dependent Global Sensitivity Analysis for Long-Term Degeneracy Model Using Polynomial Chaos." Advances in Mechanical Engineering 6 (January 1, 2014): 719825. http://dx.doi.org/10.1155/2014/719825.

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Global sensitivity is used to quantify the influence of uncertain model inputs on the output variability of static models in general. However, very few approaches can be applied for the sensitivity analysis of long-term degeneracy models, as far as time-dependent reliability is concerned. The reason is that the static sensitivity may not reflect the completed sensitivity during the entire life circle. This paper presents time-dependent global sensitivity analysis for long-term degeneracy models based on polynomial chaos expansion (PCE). Sobol’ indices are employed as the time-dependent global

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10

Sun, Xifu, Barry Croke, Stephen Roberts, and Anthony Jakeman. "Investigation of determinism-related issues in the Sobol′ low-discrepancy sequence for producing sound global sensitivity analysis indices." ANZIAM Journal 62 (December 7, 2021): C84—C97. http://dx.doi.org/10.21914/anziamj.v62.16094.

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A computationally efficient and robust sampling scheme can support a sensitivity analysis of models to discover their behaviour through Quasi Monte Carlo approximation. This is especially useful for complex models, as often occur in environmental domains when model runtime can be prohibitive. The Sobol' sequence is one of the most used quasi-random low-discrepancy sequences as it can explore the parameter space significantly more evenly than pseudo-random sequences. The built-in determinism of the Sobol' sequence assists in achieving this attractive property. However, the Sobol' sequence tends

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Kotidis, Pavlos, and Cleo Kontoravdi. "Strategic Framework for Parameterization of Cell Culture Models." Processes 7, no. 3 (2019): 174. http://dx.doi.org/10.3390/pr7030174.

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Global Sensitivity Analysis (GSA) is a technique that numerically evaluates the significance of model parameters with the aim of reducing the number of parameters that need to be estimated accurately from experimental data. In the work presented herein, we explore different methods and criteria in the sensitivity analysis of a recently developed mathematical model to describe Chinese hamster ovary (CHO) cell metabolism in order to establish a strategic, transferable framework for parameterizing mechanistic cell culture models. For that reason, several types of GSA employing different sampling

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12

Kolyukhin, Dmitriy. "Global sensitivity analysis of statistical models by double randomization method." Monte Carlo Methods and Applications 27, no. 4 (2021): 341–46. http://dx.doi.org/10.1515/mcma-2021-2096.

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Abstract The paper addresses a global sensitivity analysis of complex models. The work presents a generalization of the hierarchical statistical models where uncertain parameters determine the distribution of statistical models. The double randomization method is applied to increase the efficiency of the Monte Carlo estimation of Sobol indices. Numerical computations are provided to study the accuracy and efficiency of the proposed technique. The issue of optimization of the suggested approach is considered.

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Chen, Jie, Richard Arsenault, and François P. Brissette. "An experimental approach to reduce the parametric dimensionality for rainfall–runoff models." Hydrology Research 48, no. 1 (2016): 48–65. http://dx.doi.org/10.2166/nh.2016.145.

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Sobol’ sensitivity analysis has been used successfully in the past to reduce the parametric dimensionality for hydrological models. However, the effects of its limitation, in that it assumes an independence of parameters, need to be investigated. This study proposes an experimental approach to assess the commonly used Sobol’ analysis for reducing the parameter dimensionality of hydrological models. In this approach, the number of model parameters is directly pitted against an efficiency criterion within a multi-objective genetic algorithm (MOGA), thus allowing both the identification of key mo

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14

Ganji, Arman, Holger R. Maier, and Graeme C. Dandy. "A modified Sobol′ sensitivity analysis method for decision-making in environmental problems." Environmental Modelling & Software 75 (January 2016): 15–27. http://dx.doi.org/10.1016/j.envsoft.2015.10.001.

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15

Feng, Kaixuan, Zhenzhou Lu, and Caiqiong Yang. "Enhanced Morris method for global sensitivity analysis: good proxy of Sobol’ index." Structural and Multidisciplinary Optimization 59, no. 2 (2018): 373–87. http://dx.doi.org/10.1007/s00158-018-2071-7.

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Jaxa-Rozen, Marc, Astu Sam Pratiwi, and Evelina Trutnevyte. "Variance-based global sensitivity analysis and beyond in life cycle assessment: an application to geothermal heating networks." International Journal of Life Cycle Assessment 26, no. 5 (2021): 1008–26. http://dx.doi.org/10.1007/s11367-021-01921-1.

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Abstract Purpose Global sensitivity analysis increasingly replaces manual sensitivity analysis in life cycle assessment (LCA). Variance-based global sensitivity analysis identifies influential uncertain model input parameters by estimating so-called Sobol indices that represent each parameter’s contribution to the variance in model output. However, this technique can potentially be unreliable when analyzing non-normal model outputs, and it does not inform analysts about specific values of the model input or output that may be decision-relevant. We demonstrate three emerging methods that build

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Parreira, Tomás G., Diogo C. Rodrigues, Marta C. Oliveira, Nataliya A. Sakharova, Pedro A. Prates, and André F. G. Pereira. "Sensitivity Analysis of the Square Cup Forming Process Using PAWN and Sobol Indices." Metals 14, no. 4 (2024): 432. http://dx.doi.org/10.3390/met14040432.

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This study investigates the sensitivity of the square cup forming process. It analyses how the uncertainties in the material properties, friction and process conditions affect the results of the square cup, such as equivalent plastic strain, geometry change, thickness reduction, punch force and springback. The cup flange and the die curvature region are identified as highly affected areas, while the cup bottom is least affected by the uncertainties. Two sensitivity analysis techniques, PAWN and Sobol indices, are compared. In particular, the study shows that PAWN indices require a significantl

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Liu, Zifa, Heyang Huai, and Yusen Yao. "Static voltage bilayer optimization for distribution networks based on Sobol’ method." Journal of Physics: Conference Series 2918, no. 1 (2024): 012004. https://doi.org/10.1088/1742-6596/2918/1/012004.

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Abstract In active distribution networks, the uncertainty of a large number of distributed power sources makes the voltage stability problem of distribution networks more and more prominent. The existing optimization methods tend to deal with the economy and voltage stability of distribution networks as independent objectives, with less consideration of their connection, making it difficult to realize the efficient use of flexible resources. The paper introduces upper and lower connection factors and proposes a two-layer optimization model for distribution network voltage using the Sobol’ meth

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Lyu, Jingye, Chong Li, Wenwen Zhou, and Jinsuo Zhang. "Sensitivity Analysis of Factors Influencing Coal Prices in China." Mathematics 12, no. 24 (2024): 4019. https://doi.org/10.3390/math12244019.

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A scientific assessment of the sensitivity of the Chinese coal market has become an important research topic. This paper combines Gaussian Process Regression (GPR) and Sobol sensitivity analysis to construct a GPR–Sobol hybrid model innovatively applied to the Chinese coal market, thus addressing a gap in the economic applications of this method. The model is used to analyze the sensitivity of factors influencing coal prices in China. The GPR–Sobol model effectively handles nonlinear relationships, enabling an in-depth exploration of key factors affecting price volatility and quantifying their

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Liu, Jiacheng, Haiyun Liu, Cong Zhang, Jiyin Cao, Aibo Xu, and Jiwei Hu. "Derivative-Variance Hybrid Global Sensitivity Measure with Optimal Sampling Method Selection." Mathematics 12, no. 3 (2024): 396. http://dx.doi.org/10.3390/math12030396.

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This paper proposes a derivative-variance hybrid global sensitivity measure with optimal sampling method selection. The proposed sensitivity measure is as computationally efficient as the derivative-based global sensitivity measure, which also serves as the conservative estimation of the corresponding variance-based global sensitivity measure. Moreover, the optimal sampling method for the proposed sensitivity measure is studied. In search of the optimal sampling method, we investigated the performances of six widely used sampling methods, namely Monte Carlo sampling, Latin hypercube sampling,

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Wang, Yuan, Jie Ren, Shaobin Hu, and Di Feng. "Global Sensitivity Analysis to Assess Salt Precipitation for CO2 Geological Storage in Deep Saline Aquifers." Geofluids 2017 (2017): 1–16. http://dx.doi.org/10.1155/2017/5603923.

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Salt precipitation is generated near the injection well when dry supercritical carbon dioxide (scCO2) is injected into saline aquifers, and it can seriously impair the CO2 injectivity of the well. We used solid saturation (Ss) to map CO2 injectivity. Ss was used as the response variable for the sensitivity analysis, and the input variables included the CO2 injection rate (QCO2), salinity of the aquifer (XNaCl), empirical parameter m, air entry pressure (P0), maximum capillary pressure (Pmax), and liquid residual saturation (Splr and Sclr). Global sensitivity analysis methods, namely, the Morri

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Widyanugraha, A. D., N. Atikah, and D. Hardiansyah. "Estimation of The Main Effect and Total Effect of a PBPK Model Based on The Uncertainty of Individual Parameter for Treatment Planning in PSMA Therapy." IOP Conference Series: Earth and Environmental Science 913, no. 1 (2021): 012101. http://dx.doi.org/10.1088/1755-1315/913/1/012101.

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Abstract The purpose of this study was to identify the most important physiologically-based pharmacokinetic (PBPK) model parameters determining the absorbed dose (AD) in prostate-specific membrane antigen (PSMA) therapy. The extended-Sobol’ global sensitivity analysis method was used to analyze the sensitivity of the PBPK model parameters obtained from 3 patients. The investigated PBPK model parameters were the blood flow to the organs, PSMA binding rate, biological release rates, and density of organs receptor. The outputs of extended Sobol method were the main effect Si and the total effect

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Silva, Arthur Santos, and Enedir Ghisi. "Evaluation of capabilities of different global sensitivity analysis techniques for building energy simulation: experiment on design variables." Ambiente Construído 21, no. 2 (2021): 89–111. http://dx.doi.org/10.1590/s1678-86212021000200516.

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Abstract The objective of this study is to investigate the capabilities of different global sensitivity analysis methods applied to building performance simulation, i.e. Morris, Monte Carlo, Design of Experiments, and Sobol methods. A single-zone commercial building located in Florianópolis, southern Brazil, was used as a case study. Fifteen inputs related to design variables were considered, such as thermal properties of the construction envelope, solar orientation, and fenestration characteristics. The performance measures were the annual heating and cooling loads. It was found that each met

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Wei, Shangshang, Yiguo Li, Xianhua Gao, Kwang Y. Lee, and Li Sun. "Multi-stage Sensitivity Analysis of Distributed Energy Systems: A Variance-based Sobol Method." Journal of Modern Power Systems and Clean Energy 8, no. 5 (2020): 895–905. http://dx.doi.org/10.35833/mpce.2020.000134.

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Rosolem, Rafael, Hoshin V. Gupta, W. James Shuttleworth, Xubin Zeng, and Luis Gustavo Gonçalves de Gonçalves. "A fully multiple-criteria implementation of the Sobol′ method for parameter sensitivity analysis." Journal of Geophysical Research: Atmospheres 117, no. D7 (2012): n/a. http://dx.doi.org/10.1029/2011jd016355.

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Cao, Xiaoqun, ShiPeng Su, HongZe Leng, and BaiNian Liu. "Global Sensitivity Analysis of Parameters in the ENSO model Based on Sobol' Method." Journal of Coastal Research 99, sp1 (2020): 340. http://dx.doi.org/10.2112/si99-047.1.

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Le Guyadec, Mathias, Laurent Gerbaud, Emmanuel Vinot, and Benoit Delinchant. "Sensitivity analysis using Sobol indices for the thermal modelling of an electrical machine for sizing by optimization." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 38, no. 3 (2019): 965–76. http://dx.doi.org/10.1108/compel-09-2018-0360.

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Purpose The thermal modelling of an electrical machine is difficult because the thermal behavior depends on its geometry, the used materials and its manufacturing process. In the paper, such a thermal model is used during the sizing process by optimization of a hybrid electric vehicle (HEV). This paper aims to deal with the sensitivities of thermal parameters on temperatures inside the electrical machine to allow the assessment of the influence of thermal parameters that are hard to assess. Design/methodology/approach A sensitivity analysis by Sobol indices is used to assess the sensitivities

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Ryan, Edmund, Oliver Wild, Apostolos Voulgarakis, and Lindsay Lee. "Fast sensitivity analysis methods for computationally expensive models with multi-dimensional output." Geoscientific Model Development 11, no. 8 (2018): 3131–46. http://dx.doi.org/10.5194/gmd-11-3131-2018.

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Abstract. Global sensitivity analysis (GSA) is a powerful approach in identifying which inputs or parameters most affect a model's output. This determines which inputs to include when performing model calibration or uncertainty analysis. GSA allows quantification of the sensitivity index (SI) of a particular input – the percentage of the total variability in the output attributed to the changes in that input – by averaging over the other inputs rather than fixing them at specific values. Traditional methods of computing the SIs using the Sobol and extended Fourier Amplitude Sensitivity Test (e

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Zelelew, M. B., and K. Alfredsen. "Sensitivity-guided evaluation of the HBV hydrological model parameterization." Journal of Hydroinformatics 15, no. 3 (2012): 967–90. http://dx.doi.org/10.2166/hydro.2012.011.

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Applying hydrological models for river basin management depends on the availability of the relevant data information to constrain the model residuals. The estimation of reliable parameter values for parameterized models is not guaranteed. Identification of influential model parameters controlling the model response variations either by main or interaction effects is therefore critical for minimizing model parametric dimensions and limiting prediction uncertainty. In this study, the Sobol variance-based sensitivity analysis method was applied to quantify the importance of the HBV conceptual hyd

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Korayem, M. H., M. Taheri, and S. D. Ghahnaviyeh. "Sobol method application in dimensional sensitivity analyses of different AFM cantilevers for biological particles." Modern Physics Letters B 29, no. 22 (2015): 1550123. http://dx.doi.org/10.1142/s0217984915501237.

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Due to the more delicate nature of biological micro/nanoparticles, it is necessary to compute the critical force of manipulation. The modeling and simulation of reactions and nanomanipulator dynamics in a precise manipulation process require an exact modeling of cantilevers stiffness, especially the stiffness of dagger cantilevers because the previous model is not useful for this investigation. The stiffness values for V-shaped cantilevers can be obtained through several methods. One of them is the PBA method. In another approach, the cantilever is divided into two sections: a triangular head

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Sabino, Marlus, and Adilson Pacheco de Souza. "Global Sensitivity of Penman–Monteith Reference Evapotranspiration to Climatic Variables in Mato Grosso, Brazil." Earth 4, no. 3 (2023): 714–27. http://dx.doi.org/10.3390/earth4030038.

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Understanding how climatic variables impact the reference evapotranspiration (ETo) is essential for water resource management, especially considering potential fluctuations due to climate change. Therefore, we used the Sobol’ method to analyze the spatiotemporal variations of Penman–Monteith ETo sensitivity to the climatic variables: downward solar radiation, relative humidity, maximum and minimum air temperature, and wind speed. The Sobol’ indices variances were estimated by Monte Carlo integration, with sample limits set to the 2.5th and 97.5th percentiles of the daily data of 33 automatic w

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Yu, Liang, Xiaoquan Yi, Ran Wang, Chenyu Zhang, Tongdong Wang, and Xiaopeng Zhang. "Uncertainty Quantification for Infrasound Propagation in the Atmospheric Environment." Applied Sciences 12, no. 17 (2022): 8850. http://dx.doi.org/10.3390/app12178850.

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The propagation of infrasound in the atmosphere is influenced by atmospheric environmental parameters, which affect the precise localization of the infrasound source. Therefore, it has become crucial to quantify the influence of atmospheric environmental parameters on infrasound propagation. First, in this paper, the tau-p model is chosen as the physical model of infrasound propagation in a non-uniform moving medium. The atmospheric environmental parameters affecting infrasound propagation are determined. Secondly, the atmospheric environmental parameter distribution data are generated using t

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Wang, Shujuan, Qiuyang Li, and Gordon J. Savage. "Reliability-Based Robust Design Optimization of Structures Considering Uncertainty in Design Variables." Mathematical Problems in Engineering 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/280940.

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This paper investigates the structural design optimization to cover both the reliability and robustness under uncertainty in design variables. The main objective is to improve the efficiency of the optimization process. To address this problem, a hybrid reliability-based robust design optimization (RRDO) method is proposed. Prior to the design optimization, the Sobol sensitivity analysis is used for selecting key design variables and providing response variance as well, resulting in significantly reduced computational complexity. The single-loop algorithm is employed to guarantee the structura

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Wu, Mengli, Xianqu Yue, Weibin Chen, Qi Nie, and Yue Zhang. "Accuracy analysis and synthesis of asymmetric parallel mechanism based on Sobol-QMC." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 21 (2020): 4200–4214. http://dx.doi.org/10.1177/0954406220920702.

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Aiming at the aircraft composite skin grinding, a new three degree-of-freedom (DOF) parallel mechanism with asymmetrical structure (TAM) is proposed to replace manual grinding. The TAM is achieved by integrating one of active limbs into the passive limb while keeping the required DOF unchanged, which is divided into two closed-loop chains: telescopic rod and parallelogram. The inverse kinematics models of the two chains are established according to closed-loop vector method. Thus, the actuation and the constraint Jacobian matrix are obtained. Based on the perturbation principle, the error mode

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Kala, Zdeněk. "Global Sensitivity Analysis of Structural Reliability Using Cliff Delta." Mathematics 12, no. 13 (2024): 2129. http://dx.doi.org/10.3390/math12132129.

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This paper introduces innovative sensitivity indices based on Cliff’s Delta for the global sensitivity analysis of structural reliability. These indices build on the Sobol’ method, using binary outcomes (success or failure), but avoid the need to calculate failure probability Pf and the associated distributional assumptions of resistance R and load F. Cliff’s Delta, originally used for ordinal data, evaluates the dominance of resistance over load without specific assumptions. The mathematical formulations for computing Cliff’s Delta between R and F quantify structural reliability by assessing

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Ye, Xin, Pan Liu, Zhijing Zhang, Chao Shao, and Yan Li. "Error sensitivity analysis of a microassembly system with coaxial alignment function." Assembly Automation 36, no. 1 (2016): 25–33. http://dx.doi.org/10.1108/aa-02-2015-010.

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Purpose – The purpose of this paper is to analyze the sensitivity of the motion error parameters in microassembly process, thereby improving the assembly accuracy. The motion errors of the precision motion stages directly affect the final assembly quality after the machine visual alignment. Design/methodology/approach – This paper presents the error parameters of the in-house microassembly system with coaxial alignment function, builds the error transfer model by the multi-body system theory, analyzes the error sensitivity on the sensitive direction using the Sobol method, which was based on v

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Dimov, Ivan, Venelin Todorov, and Slavi Georgiev. "A Super-Convergent Stochastic Method Based on the Sobol Sequence for Multidimensional Sensitivity Analysis in Environmental Protection." Axioms 12, no. 2 (2023): 146. http://dx.doi.org/10.3390/axioms12020146.

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Environmental security is among the top priorities worldwide, and there are many difficulties in this area. The reason for this is a painful subject for society and healthcare systems. Multidimensional sensitivity analysis is fundamental in the process of validating the accuracy and reliability of large-scale computational models of air pollution. In this paper, we present an improved version of the well-known Sobol sequence, which shows a significant improvement over the best available existing sequences in the measurement of the sensitivity indices of the digital ecosystem under consideratio

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Wang, Haixia, Ying Zhao, and Wenyuan Fu. "Utilizing the Sobol’ Sensitivity Analysis Method to Address the Multi-Objective Operation Model of Reservoirs." Water 15, no. 21 (2023): 3795. http://dx.doi.org/10.3390/w15213795.

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The operation of reservoirs has significantly influenced the river ecological system. Upholding the ecological integrity of rivers during reservoir operations has been the focus of research over the years. When the Dahuofang reservoir project started, focus moved to ecological goals to address the Biliuhe reservoir’s environmental issues. The water strategy limits usage for various purposes and outlines the diversion route, complicating Biliuhe operations. In this study, to comprehend the effects of individual water level guidelines and their combined influence on these goals, the Sobol’ sensi

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Tsokanas, Nikolaos, Roland Pastorino, and Božidar Stojadinović. "A Comparison of Surrogate Modeling Techniques for Global Sensitivity Analysis in Hybrid Simulation." Machine Learning and Knowledge Extraction 4, no. 1 (2021): 1–21. http://dx.doi.org/10.3390/make4010001.

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Hybrid simulation is a method used to investigate the dynamic response of a system subjected to a realistic loading scenario. The system under consideration is divided into multiple individual substructures, out of which one or more are tested physically, whereas the remaining are simulated numerically. The coupling of all substructures forms the so-called hybrid model. Although hybrid simulation is extensively used across various engineering disciplines, it is often the case that the hybrid model and related excitation are conceived as being deterministic. However, associated uncertainties ar

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Nouri, Amin, Christoph van Treeck, and Jérôme Frisch. "Sensitivity Assessment of Building Energy Performance Simulations Using MARS Meta-Modeling in Combination with Sobol’ Method." Energies 17, no. 3 (2024): 695. http://dx.doi.org/10.3390/en17030695.

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Large discrepancies can occur between building energy performance simulation (BEPS) outputs and reference data. Uncertainty and sensitivity analyses are performed to discover the significant contributions of each input parameter to these discrepancies. Variance-based sensitivity analyses typically require many stochastic simulations, which is computationally demanding (especially in the case of the large number of input parameters involved in the analysis). To overcome these impediments, this study proposes a reliable meta-model-based sensitivity analysis, including validation, Morris’ method,

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Tahmasbi, Vahid, Majid Ghoreishi, and Mojtaba Zolfaghari. "Sensitivity analysis of temperature and force in robotic bone drilling process using Sobol statistical method." Biotechnology & Biotechnological Equipment 32, no. 1 (2017): 130–41. http://dx.doi.org/10.1080/13102818.2017.1403863.

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Guo, Ganggui, Shanshan Li, Yakun Liu, Ze Cao, and Yangyu Deng. "Prediction of Cavity Length Using an Interpretable Ensemble Learning Approach." International Journal of Environmental Research and Public Health 20, no. 1 (2022): 702. http://dx.doi.org/10.3390/ijerph20010702.

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The cavity length, which is a vital index in aeration and corrosion reduction engineering, is affected by many factors and is challenging to calculate. In this study, 10-fold cross-validation was performed to select the optimal input configuration. Additionally, the hyperparameters of three ensemble learning models—random forest (RF), gradient boosting decision tree (GBDT), and extreme gradient boosting tree (XGBOOST)—were fine-tuned by the Bayesian optimization (BO) algorithm to improve the prediction accuracy and compare the five empirical methods. The XGBOOST method was observed to present

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Puszyński, K., P. Lachor, M. Kardyńska, and J. Śmieja. "Sensitivity analysis of deterministic signaling pathways models." Bulletin of the Polish Academy of Sciences: Technical Sciences 60, no. 3 (2012): 471–79. http://dx.doi.org/10.2478/v10175-012-0060-3.

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Abstract The paper is focused on application of sensitivity methods to analysis of signaling pathway models. Two basic methods are compared: local, based on standard sensitivity functions, and global, based on Sobol indices. Firstly, a general outline of modeling of signaling pathways by means of ordinary differential equations is briefly described. Afterwards, the methods of sensitivity analysis, known from literature, are introduced and illustrated with a simple example of a dynamical system of the second order. Subsequently, the analysis of the p53/Mdm2 regulatory module, which is a key ele

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Morris, David J., Douglas C. Speir, Angus I. Cameron, and Michael R. Heath. "Global sensitivity analysis of an end-to-end marine ecosystem model of the North Sea: Factors affecting the biomass of fish and benthos." Ecological modelling 273 (February 10, 2014): 251–63. https://doi.org/10.1016/j.ecolmodel.2013.11.019.

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Comprehensive analysis of parameter and driver sensitivity is key to establishing the credibility of models representing complex systems. This is especially so for models of natural systems where experimental manipulation of the real-world to provide controlled validation data is not possible. End-to-end ecosystem models (nutrients to birds and mammals) of marine ecosystems fall into this category with applications for evaluating the effects of climate change and fishing on nutrient fluxes and the abundances of flora and fauna. Here we present results of both ‘one-at-a-time’ (OAT)

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Baki, Harish, Sandeep Chinta, and Balaji Srinivasan. "Determining the sensitive parameters of the Weather Research and Forecasting (WRF) model for the simulation of tropical cyclones in the Bay of Bengal using global sensitivity analysis and machine learning." Geoscientific Model Development 15, no. 5 (2022): 2133–55. http://dx.doi.org/10.5194/gmd-15-2133-2022.

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Abstract. The present study focuses on identifying the parameters from the Weather Research and Forecasting (WRF) model that strongly influence the simulation of tropical cyclones over the Bay of Bengal (BoB) region. Three global sensitivity analysis (SA) methods, namely, the Morris One-at-A-Time (MOAT), multivariate adaptive regression splines (MARS), and surrogate-based Sobol', are employed to identify the most sensitive parameters out of 24 tunable parameters corresponding to seven parameterization schemes of the WRF model. Ten tropical cyclones across different categories, such as cyclonic

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Jin, Shousong, Shulong Shang, Suqi Jiang, Mengyi Cao, and Yaliang Wang. "Sensitivity Analysis of RV Reducer Rotation Error Based on Deep Gaussian Processes." Sensors 23, no. 7 (2023): 3579. http://dx.doi.org/10.3390/s23073579.

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The rotation error is the most important quality characteristic index of a rotate vector (RV) reducer, and it is difficult to accurately optimize the design of a RV reducer, such as the Taguchi type, due to the many factors affecting the rotation error and the serious coupling effect among the factors. This paper analyzes the RV reducer rotation error and each factor based on the deep Gaussian processes (DeepGP) model and Sobol sensitivity analysis(SA) method. Firstly, using the optimal Latin hypercube sampling (OLHS) approach and the DeepGP model, a high-precision regression prediction model

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Buzzard, Gregery T., and Dongbin Xiu. "Variance-Based Global Sensitivity Analysis via Sparse-Grid Interpolation and Cubature." Communications in Computational Physics 9, no. 3 (2011): 542–67. http://dx.doi.org/10.4208/cicp.230909.160310s.

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AbstractThe stochastic collocation method using sparse grids has become a popular choice for performing stochastic computations in high dimensional (random) parameter space. In addition to providing highly accurate stochastic solutions, the sparse grid collocation results naturally contain sensitivity information with respect to the input random parameters. In this paper, we use the sparse grid interpolation and cubature methods of Smolyak together with combinatorial analysis to give a computationally efficient method for computing the global sensitivity values of Sobol’. This method allows fo

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Zhao, Wei, Na Zhou, and Yi Min Zhang. "Global Sensitivity of Random Parameters in Vibration Transfer Path Systems." Applied Mechanics and Materials 635-637 (September 2014): 274–80. http://dx.doi.org/10.4028/www.scientific.net/amm.635-637.274.

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Based on the Sobol’ theory, Hamma and Saltelli indicator system, the path parameters were divided into the different subsets for the vibration transfer path systems with random paths in this paper. The object function was constructed and decomposed, thus the global sensitivity based on variances was formed. The first-order and total sensitivities of various parameter subsets were calculated using Monte-Carlo simulation method combined with Latin hypercube sampling technique. Through the analysis example, the way is feasible to analyze the interaction of paths or path parameters in the vibratio

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Guan, Guan, Shuai Zhou, Zhengmao Zhuang, and Qu Yang. "Resistance Optimization of Fishing Boat Based on Parametric Modeling Method and Sensitivity Analysis." Marine Technology Society Journal 55, no. 6 (2021): 117–28. http://dx.doi.org/10.4031/mtsj.55.6.15.

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Abstract In the conventional process of parametric ship optimization, the selection of design variables mostly relies on design experience. The lack of a clear and quantitative method of parameter selection leads to a certain degree of blindness and inefficiency. In this article, a parametric hull modeling method is proposed. The sensitivity analysis based on orthogonal experimental design is performed to select the design variables of optimization. Through variance and range analysis, the parameters that have a significant influence on the optimization objective are selected as the design var

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Buzzard, Gregery T. "Efficient Basis Change for Sparse-Grid Interpolating Polynomials with Application to T-Cell Sensitivity Analysis." Computational Biology Journal 2013 (April 11, 2013): 1–10. http://dx.doi.org/10.1155/2013/562767.

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Sparse-grid interpolation provides good approximations to smooth functions in high dimensions based on relatively few function evaluations, but in standard form it is expressed in Lagrange polynomials. Here, we give a block-diagonal factorization of the basis-change matrix to give an efficient conversion of a sparse-grid interpolant to a tensored orthogonal polynomial (or gPC) representation. We describe how to use this representation to give an efficient method for estimating Sobol' sensitivity coefficients and apply this method to analyze and efficiently approximate a complex model of T-cell

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