Sensitivity Analysis on the Sphere
Analysis
Key Takeaways
- •Introduces a sensitivity analysis framework for functions on the sphere.
- •Proposes a novel decomposition method extending ANOVA with parity considerations.
- •Addresses geometric dependencies of variables on the sphere.
- •Potentially enables efficient modeling of high-dimensional functions.
- •Relevant for applications involving spherical data.
“The paper presents formulas that allow us to decompose a function $f\colon \mathbb S^d ightarrow \mathbb R$ into a sum of terms $f_{oldsymbol u,oldsymbol ξ}$.”