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Publications
  • May 2020
  • Article
  • Operations Research Letters

Scalable Holistic Linear Regression

By: Dimitris Bertsimas and Michael Lingzhi Li
  • Format:Print
  • | Pages:6
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Abstract

We propose a new scalable algorithm for holistic linear regression building on Bertsimas & King (2016). Specifically, we develop new theory to model significance and multicollinearity as lazy constraints rather than checking the conditions iteratively. The resulting algorithm scales with the number of samples [n] in the 10,000s, compared to the low 100s in the previous framework. Computational results on real and synthetic datasets show it greatly improves from previous algorithms in accuracy, false detection rate, computational time and scalability.

Keywords

Mathematical Methods; Analytics and Data Science

Citation

Bertsimas, Dimitris, and Michael Lingzhi Li. "Scalable Holistic Linear Regression." Operations Research Letters 48, no. 3 (May 2020): 203–208.
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About The Author

Michael Lingzhi Li

Technology and Operations Management
→More Publications

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  • Statistical Inference for Heterogeneous Treatment Effects Discovered by Generic Machine Learning in Randomized Experiments By: Kosuke Imai and Michael Lingzhi Li
  • Neyman Meets Causal Machine Learning: Experimental Evaluation of Individualized Treatment Rules By: Michael Lingzhi Li and Kosuke Imai
  • Learning to Cover: Online Learning and Optimization with Irreversible Decisions By: Alexander Jacquillat and Michael Lingzhi Li
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