# \#m-dimension

**URL:** https://uqworld.org/tag/m-dimension/10.md

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## [High-dimensional Example Function](https://uqworld.org/t/high-dimensional-example-function/67)

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**Author:** [@damarginal](https://uqworld.org/u/damarginal)\
**Replies:** 0\
**Last updated:** [January 29, 2019, 2:21pm UTC](https://uqworld.org/t/high-dimensional-example-function/67 "2019-01-29T14:21:48Z")

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The high-dimensional limit state function is used to test algorithms in structural reliability analysis, such as Adaptive Kriging Monte Carlo simulation (AK-MCS) and others (Rackwitz, 2001). A prominent feature of this…

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## [Rosenbrock's Function](https://uqworld.org/t/rosenbrocks-function/57)

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**Author:** [@damarginal](https://uqworld.org/u/damarginal)\
**Replies:** 0\
**Last updated:** [January 24, 2019, 6:43pm UTC](https://uqworld.org/t/rosenbrocks-function/57 "2019-01-24T18:43:04Z")

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The Rosenbrock’s function, also known as the valey or banana function, is commonly used as a test function for optimization algorithms, particularly for gradient-based algorithms since convergence towards its optimum i…