Duality in balance optimization subset selection
Hee Youn Kwon (),
Jason J. Sauppe () and
Sheldon H. Jacobson
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Hee Youn Kwon: Northwestern University
Jason J. Sauppe: University of Wisconsin-La Crosse
Sheldon H. Jacobson: University of Illinois at Urbana-Champaign
Annals of Operations Research, 2020, vol. 289, issue 2, No 8, 277-289
Abstract:
Abstract In this paper, we investigate a specific optimization problem that arises in the context of Balance Optimization Subset Selection (BOSS), which is an optimization framework for causal inference. Most BOSS problems can be formulated as mixed integer linear programs. By relaxing the integrality constraints so that fractional contributions of control units are permitted, a linear program (LP) is obtained. Properties of this LP and its dual are investigated and a sensitivity analysis is conducted to characterize how the objective value changes as the covariate values are perturbed.
Keywords: Linear programming; Duality; Optimization for causal analysis (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10479-020-03513-y
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