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Paper · arXiv

Graph-Regularized Synthetic Control for Stable Counterfactual Estimation under Donor Redundancy

Synthetic control methods estimate counterfactual outcomes by weighting untreated donor units to match a treated unit before treatment. In recent applications, however, the donor pool can be large, highly correlated, and short in pre-treatment history, yielding many near-equivalent solutions with unstable and difficult-to-interpret donor weights. We propose Graph-Regularized Synthetic Control (Graph-SC), a convex estimator that augments the classical pre-treatment matching objective with a graph Laplacian penalty. The graph encodes similarity among donor trajectories, encouraging coherent weights over structurally related donors while preserving the transparency of synthetic controls. We ...

AuthorsYanlin Zhang, Sungyong Chung, Alireza Talebpour
Primary categorycs.LG
Published16 October 2026
Last updated at source16 October 2026
cs.LGcs.AIecon.EMstat.MEstat.ML
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