# MF2: Multi-Fidelity Functions¶

This is the documentation for the `mf2`

package. For a short introduction with
examples, have a look at the Getting Started page. Otherwise, you can
look at the available functions in the package by category.

The `mf2`

package provides consistent, efficient and tested Python
implementations of a variety of multi-fidelity benchmark functions. The goal is
to simplify life for numerical optimization researchers by saving time otherwise
spent reimplementing and debugging the same common functions, and enabling
direct comparisons with other work using the same definitions, improving
reproducibility in general.

A multi-fidelity function usually reprensents an objective which should be optimized. The term ‘multi-fidelity’ refers to the fact, that multiple versions of the objective function exist which differ in the accuray to describe the real objective. A typical real-world example would be the aerodynamic efficiency of an airfoil, e.g., its drag value for a given lift value. The different fidelity levels are given by the accuracy of the evaluation method used to estimate the efficiency. Lower-fidelity versions of the objective function refer to less accurate, but simpler approximations of the objective, such as computational fluid dynamic simulations on rather coarse meshes, whereas higher fidelity levels refer to more accurate but also much more demaning evaluations such as prototype tests in wind tunnels. The hope of multi-fildelity optimization approaches is that many of the not-so-accurate but simple low-fidelity evaluations can be used to achieve improved results on the realistic high-fidelity version of the objective where only very few evaluations can be performed.

The only dependency of the mf2 package is the numpy package.

The source for this package is hosted at github.com/sjvrijn/mf2.

Last updated: (Sep 05, 2020)