GF-discrepancy-based-point-selection

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GF-discrepancy-based-point-selection

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Representative point selection by the GF-discrepancy minimization technique for the probability density evolution method (PDEM).

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# GF-discrepancy-based-point-selection

A MATLAB toolbox for the selection of **representative points** by minmizing the **GF-discrepancy** of the point set in the **Probability Density Evolution Method (PDEM)**.

For solving the Generalized probability Density Evolution Equation (GDEE), please refer to [Process_Oriented_PDEM](https://github.com/Tree-Yang/Process_Oriented_PDEM).

## References:

1. Chen JB, Yang JY, Li J. (2016) A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters. Structural Safety 59: 20-31. https://doi.org/10.1016/j.strusafe.2015.11.001

2. Chen JB, Yang JS, Jensen HA. (2020) Structural optimization considering dynamic reliability constraints via probability density evolution method and change of probability measure. Struct Multidisc Optim 62: 2499–2516. https://doi.org/10.1007/s00158-020-02621-4

3. Yang JS, Jensen HA, Chen JB. (2022) Structural optimization under dynamic reliability constraints utilizing probability density evolution method and metamodels in augmented input space. Struct Multidisc Optim 65: 107. https://doi.org/10.1007/s00158-022-03188-y

4. Yang JS, Chen JB, Jensen HA. (2022) Structural design optimization under dynamic reliability constraints based on the probability density evolution method and highly-efficient sensitivity analysis. Probab Eng Mech 68: 103205.  https://doi.org/10.1016/j.probengmech.2022.103205

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