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Synthetic control methods have gained popularity among causal studies with observational data, particularly when estimating the impacts of the interventions that are implemented to a small number of large units. Implementing the synthetic…

Methodology · Statistics 2020-05-29 Gyuhyeong Goh , Jisang Yu

The synthetic control method has become a widely popular tool to estimate causal effects with observational data. Despite this, inference for synthetic control methods remains challenging. Often, inferential results rely on linear factor…

Methodology · Statistics 2024-07-09 Ignacio Martinez , Jaume Vives-i-Bastida

There is significant growth and interest in the use of synthetic data as an enabler for machine learning in environments where the release of real data is restricted due to privacy or availability constraints. Despite a large number of…

Machine Learning · Computer Science 2020-11-25 Harrison Wilde , Jack Jewson , Sebastian Vollmer , Chris Holmes

In a seminal paper Abadie, Diamond, and Hainmueller [2010] (ADH), see also Abadie and Gardeazabal [2003], Abadie et al. [2014], develop the synthetic control procedure for estimating the effect of a treatment, in the presence of a single…

Applications · Statistics 2017-09-21 Nikolay Doudchenko , Guido W. Imbens

Social scientists often study how a policy reform impacted a single targeted country. Increasingly, this is done with the synthetic control method (SCM). SCM models the country's counterfactual (non-reform or untreated) trajectory as a…

Applications · Statistics 2019-10-15 Elias Tuomaala

We present a robust generalization of the synthetic control method for comparative case studies. Like the classical method, we present an algorithm to estimate the unobservable counterfactual of a treatment unit. A distinguishing feature of…

Econometrics · Economics 2017-11-21 Muhammad Jehangir Amjad , Devavrat Shah , Dennis Shen

This article presents the guided Bayesian optimization algorithm as an efficient data-driven method for iteratively tuning closed-loop controller parameters using an event-triggered digital twin of the system based on available closed-loop…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Mahdi Nobar , Jürg Keller , Alisa Rupenyan , Mohammad Khosravi , John Lygeros

Synthetic control is a causal inference tool used to estimate the treatment effects of an intervention by creating synthetic counterfactual data. This approach combines measurements from other similar observations (i.e., donor pool ) to…

Machine Learning · Computer Science 2023-03-27 Saeyoung Rho , Rachel Cummings , Vishal Misra

The rapid validation of newly predicted materials through autonomous synthesis requires real-time adaptive control methods that exploit physics knowledge, a capability that is lacking in most systems. Here, we demonstrate an approach to…

Materials Science · Physics 2025-01-31 Sumner B. Harris , Ruth Fajardo , Alexander A. Puretzky , Kai Xiao , Feng Bao , Rama K. Vasudevan

This paper extends the literature on the theoretical properties of synthetic controls to the case of non-linear generative models, showing that the synthetic control estimator is generally biased in such settings. I derive a lower bound for…

Econometrics · Economics 2021-11-23 Oscar Engelbrektson

Implementing Bayesian inference is often computationally challenging in applications involving complex models, and sometimes calculating the likelihood itself is difficult. Synthetic likelihood is one approach for carrying out inference…

Computation · Statistics 2021-03-15 David T. Frazier , David J. Nott , Christopher Drovandi , Robert Kohn

This article studies experimental design in settings where the experimental units are large aggregate entities (e.g., markets), and only one or a small number of units can be exposed to the treatment. In such settings, randomization of the…

Methodology · Statistics 2025-04-24 Alberto Abadie , Jinglong Zhao

We propose a \textit{guided multi-fidelity Bayesian optimization} framework for data-efficient controller tuning that integrates corrected digital twin simulations with real-world measurements. The method targets closed-loop systems with…

Robotics · Computer Science 2025-10-21 Mahdi Nobar , Jürg Keller , Alessandro Forino , John Lygeros , Alisa Rupenyan

We propose a generalization of the synthetic control and interventions methods to the setting with dynamic treatment effects. We consider the estimation of unit-specific treatment effects from panel data collected under a general treatment…

Econometrics · Economics 2025-10-03 Anish Agarwal , Sukjin Han , Dwaipayan Saha , Vasilis Syrgkanis , Haeyeon Yoon

Latent factor models are the canonical statistical tool for exploratory analyses of low-dimensional linear structure for an observation matrix with p features across n samples. We develop a structured Bayesian group factor analysis model…

Methodology · Statistics 2015-11-12 Shiwen Zhao , Chuan Gao , Sayan Mukherjee , Barbara E Engelhardt

The synthetic controls (SC) methodology is a prominent tool for policy evaluation in panel data applications. Researchers commonly justify the SC framework with a low-rank matrix factor model that assumes the potential outcomes are…

Econometrics · Economics 2024-08-27 Anish Agarwal , Devavrat Shah , Dennis Shen

Synthetic datasets are widely used in many applications, such as missing data imputation, examining non-stationary scenarios, in simulations, training data-driven models, and analyzing system robustness. Typically, synthetic data are based…

Methodology · Statistics 2025-02-05 Ofek Aloni , Gal Perelman , Barak Fishbain

A common approach to constructing a Synthetic Control unit is to fit on the outcome variable and covariates in pre-treatment time periods, but it has been shown by Ferman and Pinto (2019) that this approach does not provide asymptotic…

Econometrics · Economics 2024-03-07 Joseph Fry

We introduce a synthetic control methodology to study policies with staggered adoption. Many policies, such as the board gender diversity policies, are replicated by other policy setters at different time frames. Our method estimates the…

Econometrics · Economics 2025-11-18 Jianfei Cao , Shirley Lu , Hang Wu

Bayesian computation for filtering and forecasting analysis is developed for a broad class of dynamic models. The ability to scale-up such analyses in non-Gaussian, nonlinear multivariate time series models is advanced through the…

Methodology · Statistics 2022-06-07 Isaac Lavine , Andrew Cron , Mike West
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