Optimization over Continuous and Multi-Dimensional Decisions with Observational Data

Abstract

We consider the optimization of an uncertain objective over continuous and multi-dimensional decision spaces in problems in which we are only provided with observational data. We propose a novel algorithmic framework that is tractable, asymptotically consistent, and superior to comparable methods on example problems. Our approach leverages predictive machine learning methods and incorporates information on the uncertainty of the predicted outcomes for the purpose of prescribing decisions. We demonstrate the efficacy of our method on examples involving both synthetic and real data sets.

Cite

Text

Bertsimas and McCord. "Optimization over Continuous and Multi-Dimensional Decisions with Observational Data." Neural Information Processing Systems, 2018.

Markdown

[Bertsimas and McCord. "Optimization over Continuous and Multi-Dimensional Decisions with Observational Data." Neural Information Processing Systems, 2018.](https://mlanthology.org/neurips/2018/bertsimas2018neurips-optimization/)

BibTeX

@inproceedings{bertsimas2018neurips-optimization,
  title     = {{Optimization over Continuous and Multi-Dimensional Decisions with Observational Data}},
  author    = {Bertsimas, Dimitris and McCord, Christopher},
  booktitle = {Neural Information Processing Systems},
  year      = {2018},
  pages     = {2962-2970},
  url       = {https://mlanthology.org/neurips/2018/bertsimas2018neurips-optimization/}
}