Method Map
When you know what you want to ask but not which method answers it, the following overview may help.
Parameter importance
flowchart LR
imp["Parameter importance"] --> impA["quick check<br/>Spearman / Ridge"]
imp --> impB["accurate check<br/>Sobol / tree-based / SHAP"]
Distributions and relationships
flowchart LR
dist["Distributions and relationships"] --> distA["one variable's distribution<br/>Histogram"]
dist --> distB["compare distributions<br/>Box Plot"]
dist --> distC["all pairwise correlations<br/>Correlation Matrix"]
distC --> distD["inspect interesting pairs<br/>Scatter Matrix"]
Multi-objective convergence
flowchart LR
conv["Multi-objective convergence"] --> convA["Convergence Indicators chart<br/>HV / IGD+ / ε / R2"]
Pick good trials
flowchart LR
pick["Pick good trials"] --> pickA["holistic score<br/>TOPSIS / VIKOR / PROMETHEE"]
pick --> pickB["full trade-off<br/>Pareto Front"]
pick --> pickC["compare the picked few<br/>Radar Comparison + Comparison Table"]
pick --> pickD["stability under input scatter<br/>Robustness"]
Structure in the design space
flowchart LR
struct["Structure in the design space"] --> structA["topology-preserving 2D map<br/>SOM"]
struct --> structB["variance plane<br/>PCA Biplot"]
struct --> structC["nested grouping<br/>Hierarchical Clustering"]
Parameter–objective relationships
flowchart LR
rel["Parameter–objective relationships"] --> relA["1 parameter<br/>1D PDP / Slice Chart"]
rel --> relB["2 parameters<br/>2D PDP on a surrogate"]
rel --> relC["observed values only<br/>Observed Contour"]
rel --> relD["local landscape<br/>Response Surface 3D"]