Examples

Scripts for reproducing all examples below are available in ./rft1d/examples. These scripts are listed alphabetically here.

• Basic
  • Generating 1D Gaussian fields
  • Reproducing 1D Gaussian fields
  • Node-based vs. element-based sampling
  • Extracting maxima
  • Computing upcrossing metrics
  • Checking RFT expectations
  • Validating RFT expectations

• Broken fields
  • Broken field generation
  • Validations for broken fields

• Validation
  • Field maxima (Gaussian)
    • As a function of threshold height
    • As a function of FWHM
  • Set-level inference (Gaussian)
  • Cluster-level inference (Gaussian)
  • Test statistic field maxima
    • Univariate
    • Multivariate
  • Conjugation analysis

• Application
  • Example dataset
  • Parametric inference using RFT
  • Non-parametric inference
  • Field wrapping

• Results from the paper

• Scripts (overview)
  • Random field generation
  • Broken random field generation
  • Field smoothness estimation
  • Validation (conjunction analysis)
  • Validation (field maxima)
  • Validation (upcrossing extents)
  • Example application