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ropt: A Python module for robust optimization

Overview

ropt is a module designed for implementing and executing robust optimization workflows. In classical optimization problems, a deterministic function is optimized. However, in robust optimization, the function is expected to exhibit a stochastic nature and is represented by an ensemble of functions (realizations) for different values of some (possibly unknown) random parameters. The optimal solution is then determined by optimizing the value of a statistic, such as the mean, over the ensemble.

ropt can be employed to construct optimization workflows directly in Python or as a building block in optimization applications. At a minimum, the user needs to provide additional code to calculate the values for each function realization in the ensemble. This can range from simply calling a Python function that returns the objective values to initiating a long-running simulation on an HPC cluster and reading the results. Furthermore, ropt exposes all intermediate results of the optimization, such as objective and gradient values, but functionality to report or store any of these values must be added by the user. Optional functionality to assist with this is included with ropt.

ropt provides several features for efficiently solving complex robust optimization problems:

  • Robust optimization over an ensemble of models, i.e., optimizing the average of a set of objective functions. Alternative objectives can be implemented using plugins, for instance, to implement risk-aware optimization, such as Conditional Value at Risk (CVaR) or standard-deviation-based functions.
  • Support for black-box optimization of arbitrary functions.
  • Support for running complex optimization workflows, such as multiple runs with different optimization settings or even different optimization methods.
  • Support for nested optimization, allowing sub-sets of the variables to be optimized by optimization workflows that run as part of the black-box function to be optimized.
  • An interface for running various continuous and discrete optimization methods. By default, optimizers from the scipy.optimize package are included, but additional optimizers can be added via a plugin mechanism. The most common options of these optimizers can be configured in a uniform manner, although algorithm- or package-specific options can still be passed.
  • Efficient estimation of gradients using a Stochastic Simplex Approximate Gradient (StoSAG) approach. Additional samplers for generating perturbed values for gradient estimation can be added via a plugin mechanism.
  • Support for linear and non-linear constraints, if supported by the chosen optimizer.
  • Flexible configuration of the optimization process using pydantic.
  • Support for tracking and processing optimization results generated during the optimization process.
  • Optional support for exporting results as pandas data frames.

Plugins

Additional backend optimizers can be installed separately and used via the plugin system:

  • The ropt-dakota plugin provides access to algorithms from the Dakota package.
  • The ropt-nomad plugin implements the MADS algorithm based on the NOMAD package.
  • The ropt-pymoo makes the algorithms from the pymoo package available to ropt.

Applications

The ropt package is used by the Everest decision-making tool as its core optimization engine.