Functional Sliced Inverse Regression via an informative basis expansion

Oregon Convention Center 

We consider an alternative basis expansion on functional sliced inverse regression that leads to a novel estimator for the functional central subspace. The estimator provides some improvements over conventional functional sliced inverse regression in terms of simplicity of implementation and recovery of less smooth effective directions. We provide some theoretical results, some numerical analyses and an application to the Chronic Renal Insufficiency Cohort study.

Sliced Inverse Regression

Sufficient Dimension Reduction

Functional Data 

Biometrics Section