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Time-Aware Synthetic Control

Saeyoung Rho, Cyrus Illick, Samhitha Narasipura, Alberto Abadie, Daniel Hsu, Vishal Misra

arXiv 6 Jan 2026 · Machine Learning

arXiv:2601.03099 · PDF · DOI · OpenAlex · Extracted main text

Abstract

The synthetic control (SC) framework is widely used for observational causal inference with time-series panel data. SC has been successful in diverse applications, but existing methods typically treat the ordering of pre-intervention time indices interchangeable. This invariance means they may not fully take advantage of temporal structure when strong trends are present. We propose Time-Aware Synthetic Control (TASC), which employs a state-space model with a constant trend while preserving a low-rank structure of the signal. TASC uses the Kalman filter and Rauch-Tung-Striebel smoother: it first fits a generative time-series model with expectation-maximization and then performs counterfactual inference. We evaluate TASC on both simulated and real-world datasets, including policy evaluation and sports prediction. Our results suggest that TASC offers advantages in settings with strong temporal trends and high levels of observation noise.

Citation extraction

28
references
65
in-text mentions
28
distinct cited
8
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8,735
main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Alberto Abadie and Javier Gardeazabal (2003) The economic costs of conflict: A case study of the Basque Country self1.00095100%
2Muhammad Amjad, Devavrat Shah, and Dennis Shen (2018) Robust synthetic control0.92810680%
3Alberto Abadie, Alexis Diamond, and Jens Hainmueller (2010) Synthetic control methods for comparative case studies: Estimating the effect of California’s tobacco control program self0.89911473%
4Kay H Brodersen, Fabian Gallusser, Jim Koehler, Nicolas Remy, and St… (2015) Inferring causal impact using bayesian structural time-series models0.84333100%
5Alberto Abadie, Alexis Diamond, and Jens Hainmueller (2015) Comparative politics and the synthetic control method self0.73732100%
6Alberto Abadie and Jérémy L’Hour (2021) A penalized synthetic control estimator for disaggregated data self0.64422100%
7Susan Athey, Mohsen Bayati, Nikolay Doudchenko, Guido Imbens, and Kh… (2021) Matrix completion methods for causal panel data models0.64422100%
8Nikolay Doudchenko and Guido W Imbens (2016) Balancing, regression, difference-in-differences and synthetic control methods: A synthesis, 20160.51121100%
9Muhammad Amjad, Vishal Misra, Devavrat Shah, and Dennis Shen (2019) mRSC: Multi-dimensional robust synthetic control self0.51121100%
10Saeyoung Rho, Andrew Tang, Noah Bergam, Rachel Cummings, and Vishal… (2025) Clustersc: Advancing synthetic control with donor selection self0.51121100%

Showing the top 10 of 28 scored citations.