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We propose a function-valued evaluation metric for generative models based on the relative density ratio (RDR) designed to characterize distributional differences between real and generated samples. As an evaluation metric, the RDR function…

Methodology · Statistics 2025-12-29 Yuliang Xu , Yun Wei , Li Ma

The covariate shift is a challenging problem in supervised learning that results from the discrepancy between the training and test distributions. An effective approach which recently drew a considerable attention in the research community…

Machine Learning · Computer Science 2013-11-27 Yun-Qian Miao , Ahmed K. Farahat , Mohamed S. Kamel

Distributional reinforcement learning (DRL) has achieved empirical success in various domains. One core task in DRL is distributional policy evaluation, which involves estimating the return distribution $\eta^\pi$ for a given policy $\pi$.…

Machine Learning · Statistics 2025-01-17 Yang Peng , Liangyu Zhang , Zhihua Zhang

We introduce the local composite quantile regression (LCQR) to causal inference in regression discontinuity (RD) designs. Kai et al. (2010) study the efficiency property of LCQR, while we show that its nice boundary performance translates…

Econometrics · Economics 2021-11-02 Xiao Huang , Zhaoguo Zhan

Empirical likelihood serves as a powerful tool for constructing confidence intervals in nonparametric regression and regression discontinuity designs (RDD). The original empirical likelihood framework can be naturally extended to these…

Statistics Theory · Mathematics 2025-04-03 Qin Fang , Shaojun Guo , Yang Hong , Xinghao Qiao

The assessment of regression models with discrete outcomes is challenging and has many fundamental issues. With discrete outcomes, standard regression model assessment tools such as Pearson and deviance residuals do not follow the…

Methodology · Statistics 2024-01-15 Lu Yang

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

Making informed decisions about model adequacy has been an outstanding issue for regression models with discrete outcomes. Standard assessment tools for such outcomes (e.g. deviance residuals) often show a large discrepancy from the…

Methodology · Statistics 2021-04-02 Lu Yang

Diffusion models have become a central tool in deep generative modeling, but standard formulations rely on a single network and a single diffusion schedule to transform a simple prior, typically a standard normal distribution, into the…

Machine Learning · Statistics 2025-12-29 Takuro Kutsuna

Semicontinuous outcomes commonly arise in a wide variety of fields, such as insurance claims, healthcare expenditures, rainfall amounts, and alcohol consumption. Regression models, including Tobit, Tweedie, and two-part models, are widely…

Methodology · Statistics 2024-03-26 Lu Yang

Probability estimation is an elementary building block of every statistical data compression algorithm. In practice probability estimation is often based on relative letter frequencies which get scaled down, when their sum is too large.…

Information Theory · Computer Science 2015-01-12 Christopher Mattern

One of the most popular methodologies for estimating the average treatment effect at the threshold in a regression discontinuity design is local linear regression (LLR), which places larger weight on units closer to the threshold. We…

Methodology · Statistics 2019-02-01 Zach Branson , Maxime Rischard , Luke Bornn , Luke Miratrix

This paper studies the estimation and inference for the isotonic regression at the boundary point, an object that is particularly interesting and required in the analysis of monotone regression discontinuity designs. We show that the…

Statistics Theory · Mathematics 2020-12-22 Andrii Babii , Rohit Kumar

Empirical regression discontinuity (RD) studies often include covariates in their specifications to increase the precision of their estimates. In this paper, we propose a novel class of estimators that use such covariate information more…

Econometrics · Economics 2025-04-28 Claudia Noack , Tomasz Olma , Christoph Rothe

In this paper, we consider distributed optimization problems where $n$ agents, each possessing a local cost function, collaboratively minimize the average of the local cost functions over a connected network. To solve the problem, we…

Optimization and Control · Mathematics 2023-03-24 Kun Huang , Xiao Li , Andre Milzarek , Shi Pu , Junwen Qiu

Regression discontinuity (RD) designs are popular quasi-experimental studies in which treatment assignment depends on whether the value of a running variable exceeds a cutoff. RD designs are increasingly popular in educational applications…

Methodology · Statistics 2024-07-23 Daryl Swartzentruber , Eloise Kaizar

In this Element and its accompanying Element, Matias D. Cattaneo, Nicolas Idrobo, and Rocio Titiunik provide an accessible and practical guide for the analysis and interpretation of Regression Discontinuity (RD) designs that encourages the…

Methodology · Statistics 2019-11-22 Matias D. Cattaneo , Nicolas Idrobo , Rocio Titiunik

Regression discontinuity designs are widely used when treatment assignment is determined by whether a running variable exceeds a predefined threshold. However, most research focuses on estimating local causal effects at the threshold,…

Methodology · Statistics 2025-01-06 Xinqin Feng , Wenjie Hu , Pu Yang , Tingyu Li , Xiao-Hua Zhou

It is common practice to incorporate additional covariates in empirical economics. In the context of Regression Discontinuity (RD) designs, covariate adjustment plays multiple roles, making it essential to understand its impact on analysis…

Econometrics · Economics 2025-07-22 Matias D. Cattaneo , Filippo Palomba

Exploration remains a critical challenge in online reinforcement learning, as an agent must effectively explore unknown environments to achieve high returns. Currently, the main exploration algorithms are primarily count-based methods and…

Machine Learning · Computer Science 2025-05-19 Zhirui Fang , Kai Yang , Jian Tao , Jiafei Lyu , Lusong Li , Li Shen , Xiu Li
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