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Dear Dr.Feinberg,
I am working on polynomial chaos expansion for a very short time and I recently discovered your Python library **Chaospy**. I realized some expansions were not delivering the same…
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Hi Jonathan,
I am trying to compute standard deviation of the output Mass loss Rate (MLR) from a CFD Pyrolysis Model. I am observing that my PCE doesn't converge even though Monte Carlo(MC) has alr…
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@hpieper14 @ChrisRackauckas @frankschae @KirillZubov
Design discussions here so that they don't get slurped up by slack.
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Hi Jonathan:
Sorry to bother you. I got a problem when I run the following code:
import chaospy as cp
C = [[1, 0.5], [0.5, 1]]
mu = [0, 0.5]
x1 = cp.MvNormal(mu, C)
C1 = [[1, 0.4], [0.6,…
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1. Kolmogorov Continuity Theorem:
This theorem provides sufficient conditions for a stochastic process to have continuous sample paths.
Theorem: Let {X(t), t ∈ T} be a stochastic process on a prob…
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### Describe the workflow you want to enable
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### Describe alternatives you've considered, if relevant
_No response_
### Additional context
Why no one com…
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The 20-dimensional function was used in a metamodeling exercise[^1]; it features a sparse polynomial structure in high-dimension but with low degree of interaction. The function reads:
$$
\mathcal…
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The 2-dimensional test function was used in a metamodeling exercise[^1]; it features a sparse polynomial structure in low-dimension but with relatively high-degree two-way interactions. The function r…
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**Submitting author:** @Nando-Farchmin (Nando Farchmin)
**Repository:** https://gitlab.com/pythia-uq/pythia
**Branch with paper.md** (empty if default branch): paper/joss
**Version:** v4.0.3
**Editor:…
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**Submitting author:** @Nando-Farchmin (Nando Farchmin)
**Repository:** https://gitlab.com/pythia-uq/pythia
**Branch with paper.md** (empty if default branch): paper/joss
**Version:** v3.1.0
**Editor:…