# About the Benchmarks category

**URL:** <https://uqworld.org/t/about-the-benchmarks-category/52>\
**Category:** Benchmarks\
**Created:** [January 23, 2019, 11:11am UTC](https://uqworld.org/t/about-the-benchmarks-category/52 "2019-01-23T11:11:18Z")\
**Posts on this page:** 4\
**Page:** 1

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**Author:** ![damarginal](https://uqworld.org/user_avatar/uqworld.org/damarginal/32/73_2.png) [@damarginal](https://uqworld.org/u/damarginal)\
**Post date:** [January 23, 2019, 11:11am UTC](https://uqworld.org/t/about-the-benchmarks-category/52/1 "2019-01-23T11:11:18Z")

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Library of test functions and data sets to test your uncertainty quantification (UQ) algorithms. You know additional test functions or data sets? Share them by creating a new topic here! Read [this post](https://uqworld.org/t/about-the-benchmarks-category/) further for an index of the benchmark cases.

## Test functions based on the number of dimensions

- [2-dimension](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2B2-dimension)
- [3-dimension](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2B3-dimension)
- [5-dimension](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2B5-dimension)
- [6-dimension](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2B6-dimension)
- [8-dimension](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2B8-dimension)
- [M-dimension](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2Bm-dimension)

## Test functions based on the field of applications

- [Metamodeling](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2Bmetamodeling) (surrogate modeling)
- [Sensitivity analysis](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2Bsensitivity)
- [Reliability analysis](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2Breliability)
- [Optimization](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2Boptimization)
- [Reliability-based design optimization (RBDO)](https://uqworld.org/search?q=%23uq-with-uqlab%3Abenchmarks%20tags%3Atest-function%2Brbdo)

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**Author:** ![youxiong](https://uqworld.org/letter_avatar_proxy/v4/letter/y/839c29/32.png) [@youxiong](https://uqworld.org/u/youxiong)\
**Post date:** [July 3, 2020, 9:10am UTC](https://uqworld.org/t/about-the-benchmarks-category/52/2 "2020-07-03T09:10:10Z")

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Thank you for your sharing and enthusiasm,benchmarks play an important role in analysis, Are there other standard test functions? Like a cantilever tube, twenty-three truss-type girder. Because this is a non-normal distribution，when using UQLlab, has it been considered that the non-normal distribution has been converted to the standard normal distribution. InputOpts.Marginals(1).Type =‘Gaussian’;  
InputOpts.Marginals(1).Parameters = [1,0.05]; For non-standard positive variables, you don’t need to convert them to standard normal distribution again when you define the function?

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**Author:** ![damarginal](https://uqworld.org/user_avatar/uqworld.org/damarginal/32/73_2.png) [@damarginal](https://uqworld.org/u/damarginal)\
**Post date:** [July 8, 2020, 9:13pm UTC](https://uqworld.org/t/about-the-benchmarks-category/52/3 "2020-07-08T21:13:52Z")

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Hi @youxiong,

I’ll be happy to consider implementing and adding those benchmark functions you mentioned if you can point me to the references.

Thanks a lot!

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**Author:** ![youxiong](https://uqworld.org/letter_avatar_proxy/v4/letter/y/839c29/32.png) [@youxiong](https://uqworld.org/u/youxiong)\
**Post date:** [July 9, 2020, 2:24am UTC](https://uqworld.org/t/about-the-benchmarks-category/52/4 "2020-07-09T02:24:53Z")

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Ok. thank you. the cantilever tube ,You can see it in the 5.3 example of the article a novel learning function based on Kriging for reliability analysis. and then, twenty-three truss-type girder , You can see it in the 3.2 of the article an active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis.