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In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

Methodology · Statistics 2025-08-26 Ye Wang , Michael Jetsupphasuk

Quantifying uncertainty in deep regression models is important both for understanding the confidence of the model and for safe decision-making in high-risk domains. Existing approaches that yield prediction intervals overlook distributional…

Machine Learning · Computer Science 2025-12-02 Adriel Sosa Marco , John Daniel Kirwan , Alexia Toumpa , Simos Gerasimou

Causal inference, as a major research area in statistics and data science, plays a central role across diverse fields such as medicine, economics, education, and the social sciences. Design-based causal inference begins with randomized…

Methodology · Statistics 2025-12-01 Xin Lu , Wanjia Fu , Hongzi Li , Haoyang Yu , Honghao Zhang , Ke Zhu , Hanzhong Liu

Quantum kernels (QK) are widely used in quantum machine learning applications; yet, their potential to surpass classical machine learning methods on classical datasets remains uncertain. This limitation can be attributed to the exponential…

Quantum Physics · Physics 2025-07-29 Roberto Flórez-Ablan , Marco Roth , Jan Schnabel

We propose new confidence sets (CSs) for the regression discontinuity parameter in fuzzy designs. Our CSs are based on local linear regression, and are bias-aware, in the sense that they take possible bias explicitly into account. Their…

Econometrics · Economics 2023-09-22 Claudia Noack , Christoph Rothe

Difference-in-differences (DiD) is a cornerstone of causal inference, yet extending it to functional outcomes is not a routine scalar generalization; rather, it entails three fundamental challenges in identification, inference, and…

Methodology · Statistics 2026-05-29 Junzhu Nie , Chengxiu Ling , Mengfei Ran

Reliable corner detection is an important task in determining the shape of different regions within an image. Real-life image data are always imprecise due to inherent uncertainties that may arise from the imaging process such as…

Computer Vision and Pattern Recognition · Computer Science 2014-05-22 Erik Cuevas , Daniel Zaldivar , Marco Perez , Edgar Sanchez , Marte Ramirez

One of the weaknesses of classical (fuzzy) rough sets is their sensitivity to noise, which is particularly undesirable for machine learning applications. One approach to solve this issue is by making use of fuzzy quantifiers, as done by the…

Artificial Intelligence · Computer Science 2024-03-19 Adnan Theerens , Chris Cornelis

In modern process industries, data-driven models are important tools for real-time monitoring when key performance indicators are difficult to measure directly. While accurate predictions are essential, reliable uncertainty quantification…

Machine Learning · Computer Science 2026-04-07 Yiran Ma , Jerome Le Ny , Zhichao Chen , Zhihuan Song

In a data matrix, we may distinguish between cases, each represented by a row vector for a statistical unit, and cells, which correspond to single entries of the data matrix. Recent developments in Robust Statistics have introduced the…

Irregular functional data in which densely sampled curves are observed over different ranges pose a challenge for modeling and inference, and sensitivity to outlier curves is a concern in applications. Motivated by applications in…

Methodology · Statistics 2021-05-14 Yeonjoo Park , Xiaohui Chen , Douglas G. Simpson

In observational causal inference, domain knowledge often leaves multiple covariate adjustments plausible, yet which sets satisfy ignorability is untestable. Different adjustment sets can yield conflicting estimates of the average treatment…

Methodology · Statistics 2026-03-23 Aditya Ghosh , Dominik Rothenhäusler

Data on rates, percentages or proportions arise frequently in many different applied disciplines like medical biology, health care, psychology and several others. In this paper, we develop a robust inference procedure for the beta…

Methodology · Statistics 2018-01-16 Abhik Ghosh

The split-plot design assigns different interventions at the whole-plot and sub-plot levels, respectively, and induces a group structure on the final treatment assignments. A common strategy is to use the OLS fit of the outcome on the…

Methodology · Statistics 2021-10-25 Anqi Zhao , Peng Ding

Recent research has highlighted a critical issue known as ``robust fairness", where robust accuracy varies significantly across different classes, undermining the reliability of deep neural networks (DNNs). A common approach to address this…

Machine Learning · Computer Science 2025-01-24 Gaojie Jin , Sihao Wu , Jiaxu Liu , Tianjin Huang , Ronghui Mu

Missing attributes are ubiquitous in causal inference, as they are in most applied statistical work. In this paper, we consider various sets of assumptions under which causal inference is possible despite missing attributes and discuss…

Methodology · Statistics 2020-05-25 Imke Mayer , Erik Sverdrup , Tobias Gauss , Jean-Denis Moyer , Stefan Wager , Julie Josse

Factorial designs are widely used in agriculture, engineering, and the social sciences to study the causal effects of several factors simultaneously on a response. The objective of such a design is to estimate all factorial effects of…

Methodology · Statistics 2015-11-09 Zach Branson , Tirthankar Dasgupta , Donald B. Rubin

Causal inference is capable of estimating the treatment effect (i.e., the causal effect of treatment on the outcome) to benefit the decision making in various domains. One fundamental challenge in this research is that the treatment…

Machine Learning · Computer Science 2021-12-28 Qian Li , Zhichao Wang , Shaowu Liu , Gang Li , Guandong Xu

Quantile regression is a powerful tool for learning the relationship between a response variable and a multivariate predictor while exploring heterogeneous effects. In this paper, we consider statistical inference for quantile regression…

Statistics Theory · Mathematics 2021-05-19 Xuming He , Xiaoou Pan , Kean Ming Tan , Wen-Xin Zhou

A growing number of researchers are conducting randomized experiments to analyze causal relationships in network settings where units influence one another. A dominant methodology for analyzing these experiments is design-based, leveraging…

Methodology · Statistics 2024-07-30 Ambarish Chattopadhyay , Kosuke Imai , Jose R. Zubizarreta