# \#sensitivity **URL:** https://uqworld.org/tag/sensitivity/8.md [Latest](https://uqworld.org/latest.md) · [Categories](https://uqworld.org/categories.md) · [Tags](https://uqworld.org/tags.md) --- ## [Sobol Indices by using Polynomial Chaos Expansion](https://uqworld.org/t/sobol-indices-by-using-polynomial-chaos-expansion/9184)
**Author:** [@SimoneRomani12](https://uqworld.org/u/SimoneRomani12)\ **Replies:** 2\ **Last updated:** [July 1, 2026, 8:13am UTC](https://uqworld.org/t/sobol-indices-by-using-polynomial-chaos-expansion/9184 "2026-07-01T08:13:20Z")
Dear all, I would like to kindly ask you a doubt about Sobol indices computed by Polynomial Chaos coefficients. Some time ago, considering a particular case of study, I tried to compute Sobol indices based on Polynomial… --- ## [\[Sensitivity analysis with two parameters\] Crash when computing the second order in uq\_print\_uq\_sensitivity](https://uqworld.org/t/sensitivity-analysis-with-two-parameters-crash-when-computing-the-second-order-in-uq-print-uq-sensitivity/9137)
**Author:** [@MarcLambert](https://uqworld.org/u/MarcLambert)\ **Replies:** 1\ **Last updated:** [February 11, 2026, 11:07am UTC](https://uqworld.org/t/sensitivity-analysis-with-two-parameters-crash-when-computing-the-second-order-in-uq-print-uq-sensitivity/9137 "2026-02-11T11:07:16Z")
Dear all When using UQLab for a sensitivity analysis of a function of two parameters the computation crashes when plotting the second order Sobol index in subroutine uq\_print\_uq\_sensitivity.m with the following error : … --- ## [How to do Sobol sensitivity analysis for existing datasets](https://uqworld.org/t/how-to-do-sobol-sensitivity-analysis-for-existing-datasets/4054)
**Author:** [@saeid\_saberi](https://uqworld.org/u/saeid_saberi)\ **Replies:** 3\ **Last updated:** [October 29, 2025, 6:01pm UTC](https://uqworld.org/t/how-to-do-sobol-sensitivity-analysis-for-existing-datasets/4054 "2025-10-29T18:01:38Z")
I’ve extracted datasets from experiments and want to perform a sensitivity analysis using UQLab. However, I couldn’t find any documentation on how to directly apply sensitivity analysis to raw data. From what I’ve seen, … --- ## [ANCOVA Error: problem dimension undefined](https://uqworld.org/t/ancova-error-problem-dimension-undefined/4075)
**Author:** [@Xin-Yue\_Wang](https://uqworld.org/u/Xin-Yue_Wang)\ **Replies:** 5\ **Last updated:** [October 1, 2025, 5:13pm UTC](https://uqworld.org/t/ancova-error-problem-dimension-undefined/4075 "2025-10-01T17:13:00Z")
Hi there, I’m using UQ\[py\]Lab for sensitivity analysis. Below please find a summary of the problem statement: Number of input variables: 30 Number of output: 1 Sample size: 7600 I have obtained the data for input vari… --- ## [Sample based Kucherenko index results in total effect of 1 for large size of input variables (n \> 11)](https://uqworld.org/t/sample-based-kucherenko-index-results-in-total-effect-of-1-for-large-size-of-input-variables-n-11/3858)
**Author:** [@DHeiden](https://uqworld.org/u/DHeiden)\ **Replies:** 3\ **Last updated:** [August 27, 2025, 1:45pm UTC](https://uqworld.org/t/sample-based-kucherenko-index-results-in-total-effect-of-1-for-large-size-of-input-variables-n-11/3858 "2025-08-27T13:45:22Z")
Hello, I wanted to calculate sample based kucherenko indices. Sample size = 36000. I recognised that the total effect is always 1 if the sample consists of more than 11 input variables. I recognised that this is due to … --- ## [Sobol' indices using SPCE](https://uqworld.org/t/sobol-indices-using-spce/4038)
**Author:** [@HZhang](https://uqworld.org/u/HZhang)\ **Replies:** 0\ **Last updated:** [March 27, 2025, 1:01am UTC](https://uqworld.org/t/sobol-indices-using-spce/4038 "2025-03-27T01:01:15Z")
Hi everyone, Can Sobol’ indices be computed using an SPCE model? If so, how do they compare to those obtained from a regular PCE model? --- ## [Introducing an AI-Driven Uncertainty Quantification and Sensitivity Analysis Project built as part of my studies](https://uqworld.org/t/introducing-an-ai-driven-uncertainty-quantification-and-sensitivity-analysis-project-built-as-part-of-my-studies/3902)
**Author:** [@Mark\_Legkovskis](https://uqworld.org/u/Mark_Legkovskis)\ **Replies:** 7\ **Last updated:** [March 22, 2025, 8:39pm UTC](https://uqworld.org/t/introducing-an-ai-driven-uncertainty-quantification-and-sensitivity-analysis-project-built-as-part-of-my-studies/3902 "2025-03-22T20:39:57Z")
Dear UQWorld Community, I wanted to share with you a new web application that I’ve developed during my PhD at the University of Warwick in computational modelling. This app aims to simplify uncertainty quantification (U… --- ## [Sobol second order arangement in the "AllOrders" list](https://uqworld.org/t/sobol-second-order-arangement-in-the-allorders-list/4006)
**Author:** [@GuillaumeGru](https://uqworld.org/u/GuillaumeGru)\ **Replies:** 1\ **Last updated:** [February 12, 2025, 8:58am UTC](https://uqworld.org/t/sobol-second-order-arangement-in-the-allorders-list/4006 "2025-02-12T08:58:39Z")
Dear UQworld community, I am studying the sensitivity of a model’s outputs with Sobol indices computed with PCE meta-models. I computed the second order Sobol indices and am wandering how these second order indices are … --- ## [Sobol' total variance of multiple outputs are all 0 except the last one](https://uqworld.org/t/sobol-total-variance-of-multiple-outputs-are-all-0-except-the-last-one/3845)
**Author:** [@juntao\_ma](https://uqworld.org/u/juntao_ma)\ **Replies:** 1\ **Last updated:** [September 20, 2024, 12:04am UTC](https://uqworld.org/t/sobol-total-variance-of-multiple-outputs-are-all-0-except-the-last-one/3845 "2024-09-20T00:04:42Z")
There are multiple outputs (18) in my model. After I run sensitivity analysis with Sobol’ indices in UQLab 2.1.0, the total variance of the analysis results (1\*18) are all 0 except the last one (more than 8.3). Is this… --- ## [How to run sensitivity analysis by groups with UQLab 2.1.0?](https://uqworld.org/t/how-to-run-sensitivity-analysis-by-groups-with-uqlab-2-1-0/3842)
**Author:** [@juntao\_ma](https://uqworld.org/u/juntao_ma)\ **Replies:** 4\ **Last updated:** [September 19, 2024, 11:38am UTC](https://uqworld.org/t/how-to-run-sensitivity-analysis-by-groups-with-uqlab-2-1-0/3842 "2024-09-19T11:38:41Z")
In my case the model has many inputs, and I need group them then analyze the sensitivity by groups. How can I achieve this with UQLab 2.1.0? I can’t find any hints from the user manual. --- ## [Can I run sensitivity analysis with discrete input in UQLab?](https://uqworld.org/t/can-i-run-sensitivity-analysis-with-discrete-input-in-uqlab/3843)
**Author:** [@juntao\_ma](https://uqworld.org/u/juntao_ma)\ **Replies:** 0\ **Last updated:** [September 17, 2024, 11:37am UTC](https://uqworld.org/t/can-i-run-sensitivity-analysis-with-discrete-input-in-uqlab/3843 "2024-09-17T11:37:16Z")
In my case there are a few of inputs which are discrete (e.g., multinomial distribution). Can I run sensitivity analysis for these discrete inputs in UQLab? --- ## [Kucherenko results from UQLab 2.1.0 dependent inputs example seems incorrect](https://uqworld.org/t/kucherenko-results-from-uqlab-2-1-0-dependent-inputs-example-seems-incorrect/3826)
**Author:** [@juntao\_ma](https://uqworld.org/u/juntao_ma)\ **Replies:** 4\ **Last updated:** [September 13, 2024, 6:55am UTC](https://uqworld.org/t/kucherenko-results-from-uqlab-2-1-0-dependent-inputs-example-seems-incorrect/3826 "2024-09-13T06:55:10Z")
After I download and install UQLab 2.1.0, I run uq\_Example\_Sensitivity\_05\_DependentInputs.m under examples of sensitivity. The first index of M and P are much higher than the total index, please see below for detail. In … --- ## [Sobol indices based on PCE](https://uqworld.org/t/sobol-indices-based-on-pce/3793)
**Author:** [@Mr121Tony](https://uqworld.org/u/Mr121Tony)\ **Replies:** 2\ **Last updated:** [September 9, 2024, 9:06am UTC](https://uqworld.org/t/sobol-indices-based-on-pce/3793 "2024-09-09T09:06:56Z")
Dear Professor, I use Sobol indices based on PCE to do sensitivity analysis about a complex structure. There are 20 random input variables. The final LOO error estimate is about 0.18, which is minimized in all tried Exp… --- ## [Solution of sensitivity equation for toy model](https://uqworld.org/t/solution-of-sensitivity-equation-for-toy-model/3744)
**Author:** [@nileebolt](https://uqworld.org/u/nileebolt)\ **Replies:** 0\ **Last updated:** [July 12, 2024, 6:58pm UTC](https://uqworld.org/t/solution-of-sensitivity-equation-for-toy-model/3744 "2024-07-12T18:58:24Z")
In Ralph C. Smith’s book, he talks about three ways to calculate the sensitivity matrix for a problem. You can solve the problem analytically and differentiate the solution with respect to the parameters, you can calcula… --- ## [Best Practices for Using PCE in UQlab for High-Dimensional Models with Discrete Variables](https://uqworld.org/t/best-practices-for-using-pce-in-uqlab-for-high-dimensional-models-with-discrete-variables/3704)
**Author:** [@Harvey](https://uqworld.org/u/Harvey)\ **Replies:** 2\ **Last updated:** [July 1, 2024, 6:51am UTC](https://uqworld.org/t/best-practices-for-using-pce-in-uqlab-for-high-dimensional-models-with-discrete-variables/3704 "2024-07-01T06:51:49Z")
Hello everyone, I am currently working on modeling and sensitivity analysis using Polynomial Chaos Expansion (PCE) in UQlab. My model has about 180 input variables, many of which are discrete (either 0 or 1). I have sev… --- ## [Error performing Sobol analysis with UQLink](https://uqworld.org/t/error-performing-sobol-analysis-with-uqlink/3692)
**Author:** [@elisara1000](https://uqworld.org/u/elisara1000)\ **Replies:** 5\ **Last updated:** [June 19, 2024, 6:14am UTC](https://uqworld.org/t/error-performing-sobol-analysis-with-uqlink/3692 "2024-06-19T06:14:02Z")
I am linking a third party software to UQLabs using UQLink. The third party software is called Hi-sAFe which is used to simulate interactions between trees and crops for agriculture. This thid-party software simulates th… --- ## [PCE Validation set and error](https://uqworld.org/t/pce-validation-set-and-error/3673)
**Author:** [@saikausik](https://uqworld.org/u/saikausik)\ **Replies:** 1\ **Last updated:** [June 11, 2024, 1:47pm UTC](https://uqworld.org/t/pce-validation-set-and-error/3673 "2024-06-11T13:47:49Z")
Hello, I have been using the UQLab for performing sensitivity analysis on my models and I have recently started using PCE. I have an analytical model and I do not have experimental data, so I have been generating sample… --- ## [Large LOO error in PCE for sensitivity analysis](https://uqworld.org/t/large-loo-error-in-pce-for-sensitivity-analysis/2551)
**Author:** [@HZhang](https://uqworld.org/u/HZhang)\ **Replies:** 2\ **Last updated:** [May 23, 2024, 12:32am UTC](https://uqworld.org/t/large-loo-error-in-pce-for-sensitivity-analysis/2551 "2024-05-23T00:32:38Z")
Hi everyone, I am trying to conduct a PCE-based sensitivity analysis for feature selection of a dataset. However, the LOO error of the trained PCE model appears to be unacceptably high, approximately 0.4. I suspect ther… --- ## [Using UQLab with Python - how to circumvent 2GB data transfer limit?](https://uqworld.org/t/using-uqlab-with-python-how-to-circumvent-2gb-data-transfer-limit/3555)
**Author:** [@nmb29](https://uqworld.org/u/nmb29)\ **Replies:** 4\ **Last updated:** [April 22, 2024, 10:59pm UTC](https://uqworld.org/t/using-uqlab-with-python-how-to-circumvent-2gb-data-transfer-limit/3555 "2024-04-22T22:59:01Z")
Hello everyone, I would like to use UQLab to conduct sensitivity studies on an aircraft design library I wrote in Python. As a starting point, I implemented a simple Cotter analysis with 5 input variables, implying 12 m… --- ## [Sensitivity: MC-based Sobol's indices](https://uqworld.org/t/sensitivity-mc-based-sobols-indices/2658)
**Author:** [@Mr121Tony](https://uqworld.org/u/Mr121Tony)\ **Replies:** 2\ **Last updated:** [March 25, 2024, 8:34am UTC](https://uqworld.org/t/sensitivity-mc-based-sobols-indices/2658 "2024-03-25T08:34:09Z")
Dear Professors: I use MC-based Sobol’s indices to measuring the contributions of input variables to the reliability over their entire uncertainty ranges. I set “SobolOpts.Sobol.SampleSize = 400”, but actually 10000 ca… --- ## [PCA based Sobol indices for vector-valued PCE surrogate model](https://uqworld.org/t/pca-based-sobol-indices-for-vector-valued-pce-surrogate-model/1538)
**Author:** [@David](https://uqworld.org/u/David)\ **Replies:** 2\ **Last updated:** [February 5, 2024, 8:06am UTC](https://uqworld.org/t/pca-based-sobol-indices-for-vector-valued-pce-surrogate-model/1538 "2024-02-05T08:06:10Z")
Dear Community Goal My name is David and I try to write my own Matlab function to compute first order (S\_i) and total (S\_tot) Sobol indices for my vector-valued PCE surrogate model. The PCE surrogate model is combined … --- ## [Sensitivity with correlated inputs](https://uqworld.org/t/sensitivity-with-correlated-inputs/2024)
**Author:** [@giansteve](https://uqworld.org/u/giansteve)\ **Replies:** 6\ **Last updated:** [November 16, 2023, 1:37pm UTC](https://uqworld.org/t/sensitivity-with-correlated-inputs/2024 "2023-11-16T13:37:48Z")
Hi there, I am trying to compute the ANCOVA sensitivity indices using UQlab. In my problem, I have correlated inputs, and the input dimension is M=20. My output is also dynamic, meaning I have different time instances.… --- ## [Sensitivity analysis using a process engineering software](https://uqworld.org/t/sensitivity-analysis-using-a-process-engineering-software/1995)
**Author:** [@Simon](https://uqworld.org/u/Simon)\ **Replies:** 2\ **Last updated:** [September 26, 2023, 9:36am UTC](https://uqworld.org/t/sensitivity-analysis-using-a-process-engineering-software/1995 "2023-09-26T09:36:31Z")
Dear Sir, Madam I have been trying to perform a sensitivity analysis varying two input (Temp & Pperm) in a process engineering software: Aspen Plus. Please find below my best effort about writing the function. The commu… --- ## [Help with understanding UQLAB application to sample case](https://uqworld.org/t/help-with-understanding-uqlab-application-to-sample-case/1954)
**Author:** [@Ljuli2](https://uqworld.org/u/Ljuli2)\ **Replies:** 1\ **Last updated:** [July 26, 2023, 7:17am UTC](https://uqworld.org/t/help-with-understanding-uqlab-application-to-sample-case/1954 "2023-07-26T07:17:08Z")
Hello All, I am looking for a Uncertainty Quantification software that can has various capabilities required. I am looking into UQLAB as a platform to satisfy this search. It would be great if anyone here can take a look… --- ## [Meaning of total and second order sobol indices being equal](https://uqworld.org/t/meaning-of-total-and-second-order-sobol-indices-being-equal/1827)
**Author:** [@achille](https://uqworld.org/u/achille)\ **Replies:** 2\ **Last updated:** [March 27, 2023, 3:13pm UTC](https://uqworld.org/t/meaning-of-total-and-second-order-sobol-indices-being-equal/1827 "2023-03-27T15:13:49Z")
Hello all, I have a question about sensitivity analysis using Sobol indices. I performed sensitivity analysis of a 12 input parameter blackbox function, using two methods: (OLS) PCE coefficient-based calculation of t… --- ## [Understanding Sobol total index](https://uqworld.org/t/understanding-sobol-total-index/1833)
**Author:** [@student1](https://uqworld.org/u/student1)\ **Replies:** 1\ **Last updated:** [March 24, 2023, 11:31am UTC](https://uqworld.org/t/understanding-sobol-total-index/1833 "2023-03-24T11:31:20Z")
I am going through A. Saltelli’s paper \[1\]. The definition of Sobol first & total indices are given as: Imagine a model Y=f(A,B,C), i.e. a single output and three inputs. If I am doing a brute-force MC to solve for S… --- ## [Sensitivity analyses by Spearman’s correlation coefficient](https://uqworld.org/t/sensitivity-analyses-by-spearman-s-correlation-coefficient/1780)
**Author:** [@Mohammad](https://uqworld.org/u/Mohammad)\ **Replies:** 2\ **Last updated:** [January 23, 2023, 10:29am UTC](https://uqworld.org/t/sensitivity-analyses-by-spearman-s-correlation-coefficient/1780 "2023-01-23T10:29:11Z")
I want to perform a Latin Hypercube Sampling (LHS) to generate multivariate samples stochastically, then implement the sensitivity analyses by Spearman’s correlation coefficient. How can I implement this procedure using … --- ## [Sobol indeces with many outputs](https://uqworld.org/t/sobol-indeces-with-many-outputs/1761)
**Author:** [@Pachita](https://uqworld.org/u/Pachita)\ **Replies:** 3\ **Last updated:** [December 16, 2022, 5:36pm UTC](https://uqworld.org/t/sobol-indeces-with-many-outputs/1761 "2022-12-16T17:36:22Z")
Hallo everyone! I have a problem characterized by 4 random variables (model inputs) and 80 observed features (model outputs). I would like to figure out which input has a higher chance to be correctly identified in a Ba… --- ## [Error: NAN results after performing Morris analysis](https://uqworld.org/t/error-nan-results-after-performing-morris-analysis/1732)
**Author:** [@lydia](https://uqworld.org/u/lydia)\ **Replies:** 2\ **Last updated:** [November 26, 2022, 3:19pm UTC](https://uqworld.org/t/error-nan-results-after-performing-morris-analysis/1732 "2022-11-26T15:19:09Z")
Dear all users， I am tring to perform Morris sensitivity analysis now to select the most import input parameters. I have a total number of 20 independent parameters. I used a main program to describe the model and calle… --- ## [RBDO using hybrid GA for optimization - local and global cost plot](https://uqworld.org/t/rbdo-using-hybrid-ga-for-optimization-local-and-global-cost-plot/1733)
**Author:** [@aokoro](https://uqworld.org/u/aokoro)\ **Replies:** 2\ **Last updated:** [November 22, 2022, 10:02pm UTC](https://uqworld.org/t/rbdo-using-hybrid-ga-for-optimization-local-and-global-cost-plot/1733 "2022-11-22T22:02:58Z")
Hi All, Thanks for this useful platform. Please appreciate your thoughts on this. I carried out a surrogate assisted RBDO using hybrid GA and had the following cost values for both the global and local cost Global (2 … [Next page](https://uqworld.org/tag/sensitivity/8.md?match_all_tags=true&page=1&tags%5B%5D=sensitivity)