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RDD (Regression discontinuity design) is a widely used framework for identifying and estimating causal effects at the cutoff of a single running variable. In practice, however, decision-making often involves multiple thresholds and…

Coreset selection seeks to choose a subset of crucial training samples for efficient learning. It has gained traction in deep learning, particularly with the surge in training dataset sizes. Sample selection hinges on two main aspects: a…

Machine Learning · Computer Science 2024-03-05 Zhijing Wan , Zhixiang Wang , Yuran Wang , Zheng Wang , Hongyuan Zhu , Shin'ichi Satoh

Despite the widespread use of graphs in empirical research, little is known about readers' ability to process the statistical information they are meant to convey ("visual inference"). We study visual inference within the context of…

Econometrics · Economics 2023-01-31 Christina Korting , Carl Lieberman , Jordan Matsudaira , Zhuan Pei , Yi Shen

We provide an inference procedure for the sharp regression discontinuity design (RDD) under monotonicity, with possibly multiple running variables. Specifically, we consider the case where the true regression function is monotone with…

Econometrics · Economics 2020-12-01 Koohyun Kwon , Soonwoo Kwon

Many policies hinge on a continuous variable exceeding a threshold, prompting strategic behavior by agents to stay on the favorable side. This creates density discontinuities at cutoffs, evident in contexts like taxable income, corporate…

Methodology · Statistics 2025-07-09 Surya T Tokdar , Rik Sen , Haoliang Zheng , Shuangjie Zhang

This paper studies regression discontinuity designs (RDD) when linear-in-means spillovers occur between units that are close in their running variable. We show that the RDD estimand depends on the ratio of two terms: (1) the radius over…

Econometrics · Economics 2025-09-16 Eric Auerbach , Yong Cai , Ahnaf Rafi

Many schools in large urban districts have more applicants than seats. Centralized school assignment algorithms ration seats at over-subscribed schools using randomly assigned lottery numbers, non-lottery tie-breakers like test scores, or…

Econometrics · Economics 2021-01-05 Atila Abdulkadiroglu , Joshua D. Angrist , Yusuke Narita , Parag Pathak

This article introduces Regression Discontinuity Design (RDD) with Distribution-Valued Outcomes (R3D), extending the standard RDD framework to settings where the outcome is a distribution rather than a scalar. Such settings arise when…

Econometrics · Economics 2025-04-08 David Van Dijcke

Detecting uncertainty in large language models (LLMs) is essential for building reliable systems, yet many existing approaches are overly complex and depend on brittle semantic clustering or access to model internals. We introduce Radial…

Machine Learning · Computer Science 2026-04-08 Manh Nguyen , Sunil Gupta , Hung Le

Regression discontinuity designs are frequently used to estimate the causal effect of election outcomes and policy interventions. In these contexts, treatment effects are typically estimated with covariates included to improve efficiency.…

Applications · Statistics 2020-05-06 L. Jason Anastasopoulos

This paper studies the case of possibly high-dimensional covariates in the regression discontinuity design (RDD) analysis. In particular, we propose estimation and inference methods for the RDD models with covariate selection which perform…

Econometrics · Economics 2026-01-21 Yoichi Arai , Taisuke Otsu , Myung Hwan Seo

We describe the DISC (Different Individuals, Same Clusters) design, a sampling scheme that can improve the precision of difference-in-differences (DID) estimators in settings involving repeated sampling of a population at multiple time…

Methodology · Statistics 2025-08-21 Jordan Downey , Avi Kenny

High-dimensional linear regression has been thoroughly studied in the context of independent and identically distributed data. We propose to investigate high-dimensional regression models for independent but non-identically distributed…

Statistics Theory · Mathematics 2026-05-20 Jérémie Bigot , Issa-Mbenard Dabo , Camille Male

Clustered sampling is prevalent in empirical regression discontinuity (RD) designs, but it has not received much attention in the theoretical literature. In this paper, we introduce a general model-based framework for such settings and…

Econometrics · Economics 2026-03-20 Claudia Noack , Tomasz Olma , Christoph Rothe

Understanding systems by forward and inverse modeling is a recurrent topic of research in many domains of science and engineering. In this context, Monte Carlo methods have been widely used as powerful tools for numerical inference and…

Computation · Statistics 2022-02-14 F. Llorente , L. Martino , D. Delgado , G. Camps-Valls

University dropout remains a persistent challenge in higher education systems, yet causal evidence on the mechanisms triggering early disengagement is limited. This study estimates the causal effect of first-time academic failure on…

Computers and Society · Computer Science 2026-01-12 H. R. Paz

Imbalance in classification tasks is commonly quantified by the cardinalities of examples across classes. This, however, disregards the presence of redundant examples and inherent differences in the learning difficulties of classes.…

Machine Learning · Computer Science 2026-01-22 Çağrı Eser , Zeynep Sonat Baltacı , Emre Akbaş , Sinan Kalkan

This paper provides a formal econometric framework behind the newly developed difference-in-discontinuities design (DiDC). Despite its increasing use in applied research, there are currently limited studies of its properties. We formalize…

Econometrics · Economics 2026-01-28 Pedro Picchetti , Cristine C. X. Pinto , Stephanie T. Shinoki

Deep learning has revolutionized computing in many real-world applications, arguably due to its remarkable performance and extreme convenience as an end-to-end solution. However, deep learning models can be costly to train and to use,…

Machine Learning · Computer Science 2024-11-19 Yao Lu , Peixin Zhang , Jingyi Wang , Lei Ma , Xiaoniu Yang , Qi Xuan

Discontinuities can be fairly arbitrary but also cause a significant impact on outcomes in larger systems. Indeed, their arbitrariness is why they have been used to infer causal relationships among variables in numerous settings. Regression…

Information Theory · Computer Science 2023-12-29 Ibtihal Ferwana , Suyoung Park , Ting-Yi Wu , Lav R. Varshney