acv_multifidelity

Approximate control variate (ACV) algorithm that employs a nested pyramid sample pattern, similar to MFMC

Specification

  • Alias: acv_mf

  • Arguments: None

Description

Theory

Refer to [GGEJ20] for the original ACV formulation. Refer to [BLWL22] for understanding ACV generalizations for the different control variate pairings that are possible when codified into a more comprehensive set of potential DAGs. Both papers provide sample set diagrams that are instructive for understanding the different formulations, although the notation differs slightly (we adopt the former reference’s notation herein).