Sensitivity Analysis on the Sphere

This paper introduces a sensitivity analysis framework specifically designed for functions defined on the sphere. It proposes a novel decomposition method, extending the ANOVA approach by incorporating parity considerations. This is significant because it addresses the inherent geometric dependencies of variables on the sphere, potentially enabling more efficient modeling of high-dimensional functions with complex interactions. The focus on the sphere suggests applications in areas dealing with spherical data, such as cosmology, geophysics, or computer graphics.