Index

A

active subspaces dimension reduction shadow plot allowable values

assignable cause see also uncertainty ; cause assumptions being explicit, [1], [2]

B

basis values

bias see also model-form uncertainty

C

certainty chance cause see also uncertainty ; cause common random numbers see also uncertainty propagation ; monte carlo conservative values

control chart see also assignable cause copula cross-validation see also fitting curse of dimensionality see also dimension reduction

D

data experimental vs simulation data filtering grouping mutating re-ordering reshaping (pivoting) summarizing tidy data descriptive statistics asymmetry ; skewness dependency ; correlation location ; mean location ; median quantile spread ; IQR spread ; standard deviation spread ; variance tail weight ; kurtosis

design conceptual design, [1] detailed design design of computer experiments see also sampling dimension reduction active subspaces Sobol' indices dimensional analysis

E

EDA see also exploratory data analysis EMA see also exploratory model analysis erroneous see also uncertainty ; source examples angle ply composite, [1], [2] boat hull design buckling plate cantilever beam, [1] cast aluminum dataset, [1], [2] cast steel dataset, [1] disease spread manufacturing uncertainties parallel RLC circuit, [1] pipe flow piston cycle time projectile motion rolled aluminum dataset solar receiver, [1] turbulence

examples : buckling plate exploratory data analysis see also mindset ; curiosity exploratory model analysis see also mindset ; curiosity extrapolation see also fitting see also mindset ; skepticism

F

feature see also modeling ; input fitting maximum likelihood estimation, [1] method of moments, [1] nonlinear least squares overfitting residual test-train split underfitting

G

gaussian process kernel see also modeling ; empirical model ggplot grama boilerplate code df_det, [1] df_grid() df_make() ev_form_ria() ev_linup() ev_sample(), [1], [2] filter helpers ft_gp() ft_nls(), [1] ft_rf() installation model definition mutation helpers py-grama selection helpers skip evaluation, [1] summary functions tf_arrange() tf_count() tf_filter() tf_group_by() tf_kfolds() tf_mutate() tf_outer() tf_pivot_longer() tf_pivot_wider() tf_reweight() tf_select() tf_summarize() verbs

H

histogram golden rule of histograms

hypothesis

I

importance sampling see also uncertainty propagation ; monte carlo

L

least squares model fitting limit state, [1], [2]

load and resistance factor design (LRFD) lurking variable

M

mean squared error mindset curiosity skepticism model-form uncertainty see also uncertainty ; nature modeling action distributions empirical model functions hyperparameter input, [1] input vs parameter marginal distribution output parameter physical model process quantity of interest, [1] questions specificity system boundary validation data verification and validation, [1]

P

pandas DataFrame parametric uncertainty see also modeling ; marginal distribution see also uncertainty ; nature plotnine probability random variable realization, [1] see also reliability see also uncertainty propagation

python anaconda distribution help() jupyter notebook keyword arguments

Q

QOI see also modeling ; quantity of interest

qq plot, [1]

R

random forest see also modeling ; empirical model random seed see also uncertainty propagation ; monte carlo real see also uncertainty ; source

reliability probability of failure reliability index, [1] see also uncertainty propagation reparameterization, [1] response see also modeling ; output

S

sampling bootstrap, [1] central limit theorem confidence interval, [1] golden rule for confidence intervals population prediction interval random sample sample sampling distribution see also uncertainty ; source standard error support points tolerance interval

seed see also random seed sinew plot see also exploratory model analysis single : examples cast aluminum dataset disease spread, [1] Sobol' indices dimension reduction statistical control see also uncertainty ; cause statistical interval see also sampling surrogate model, [1]

T

typical values

U

uncertainty cause nature source, [1] targeting variability

uncertainty propagation concepts first-order reliability method linear uncertainty propagation monte carlo

V

variable see also modeling ; input

vectorization