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Regression discontinuity designs (RDD) are widely used for causal inference. In many empirical applications, treatment effects vary substantially with covariates, and ignoring such heterogeneity can lead to misleading conclusions, which…

Methodology · Statistics 2026-03-05 Daisuke Kondo , Shonosuke Sugasawa

Delineating and planning with respect to regions suspected to contain microscopic tumor cells is an inherently uncertain task in radiotherapy. The recently proposed \textit{clinical target distribution} (CTD) is an alternative to the…

Medical Physics · Physics 2023-04-26 Ivar Bengtsson , Anders Forsgren , Albin Fredriksson

The difference-in-differences (DID) method identifies the average treatment effects on the treated (ATT) under mainly the so-called parallel trends (PT) assumption. The most common and widely used approach to justify the PT assumption is…

Econometrics · Economics 2023-08-23 Kyunghoon Ban , Désiré Kédagni

Bayesian optimal experimental design (BOED) is a methodology to identify experiments that are expected to yield informative data. Recent work in cognitive science considered BOED for computational models of human behavior with tractable and…

Machine Learning · Computer Science 2021-11-01 Simon Valentin , Steven Kleinegesse , Neil R. Bramley , Michael U. Gutmann , Christopher G. Lucas

We consider a statistical problem to estimate variables (effects) that are associated with the edges of a complete bipartite graph $K_{v_1, v_2}=(V_1, V_2 \, ; E)$. Each data is obtained as a sum of selected effects, a subset of $E$. In…

Combinatorics · Mathematics 2023-09-01 Shoko Chisaki , Ryoh Fuji-Hara , Nobuko Miyamoto

We introduce a simple yet significant improvement to the time-evolving block decimation (TEBD) tensor network algorithm for simulating the time dynamics of strongly correlated one-dimensional (1D) mixed quantum states. The efficiency of 1D…

Quantum Physics · Physics 2026-05-19 Sayak Guha Roy , Kevin Slagle

We consider in this paper the problem of optimal experiment design where a decision maker can choose which points to sample to obtain an estimate $\hat{\beta}$ of the hidden parameter $\beta^{\star}$ of an underlying linear model. The key…

Machine Learning · Statistics 2021-01-01 Xavier Fontaine , Pierre Perrault , Michal Valko , Vianney Perchet

Multi-user schedulers are designed to achieve optimal average system utility (e.g. throughput) subject to a set of fairness criteria. In this work, scheduling under temporal fairness constraints is considered. Prior works have shown that a…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Farhad Shirani , Shahram Shahsavari , Elza Erkip

The primary goal of a two-stage Phase I/II trial is to identify the optimal dose for the following large-scale Phase III trial. Recently, Phase I dose-finding designs have shifted from identifying the maximum tolerated dose (MTD) to the…

Methodology · Statistics 2025-01-16 Hao Sun , Jerry Li

We consider the problem of how to assign treatment in a randomized experiment, in which the correlation among the outcomes is informed by a network available pre-intervention. Working within the potential outcome causal framework, we…

Methodology · Statistics 2017-05-19 Guillaume W. Basse , Edoardo M. Airoldi

Recent development in the data-driven decision science has seen great advances in individualized decision making. Given data with individual covariates, treatment assignments and outcomes, policy makers best individualized treatment rule…

Machine Learning · Statistics 2020-06-29 Weibin Mo , Zhengling Qi , Yufeng Liu

Dynamic treatment regimens (DTRs) aim at tailoring individualized sequential treatment rules that maximize cumulative beneficial outcomes by accommodating patients' heterogeneity in decision-making. For many chronic diseases including type…

Methodology · Statistics 2024-04-23 Mochuan Liu , Yuanjia Wang , Haoda Fu , Donglin Zeng

This paper studies a downlink multiuser transmit beamforming design under spherical channel uncertainties, using a worst-case robust formulation. This robust design problem is nonconvex. Recently, a convex approximation formulation based on…

Information Theory · Computer Science 2016-11-17 Tsung-Hui Chang , Wing-Kin Ma , Chong-Yung Chi

Finding tight bounds on the optimal solution is a critical element of practical solution methods for discrete optimization problems. In the last decade, decision diagrams (DDs) have brought a new perspective on obtaining upper and lower…

Artificial Intelligence · Computer Science 2019-02-28 Quentin Cappart , Emmanuel Goutierre , David Bergman , Louis-Martin Rousseau

Boundary Discontinuity (BD) designs are used in empirical research to learn about causal treatment effects along a continuous assignment boundary defined by a bivariate score. These designs are also known as multi-score regression…

Methodology · Statistics 2026-05-29 Matias D. Cattaneo , Rocio Titiunik , Ruiqi Rae Yu

Cluster randomized trials (CRTs) are studies where treatment is randomized at the cluster level but outcomes are typically collected at the individual level. When CRTs are employed in pragmatic settings, baseline population characteristics…

Methodology · Statistics 2023-06-22 Mary M. Ryan , Denise Esserman , Fan Li

The root-cause diagnostics of product quality defects in multistage manufacturing processes often requires a joint identification of crucial stages and process variables. To meet this requirement, this paper proposes a novel penalized…

Applications · Statistics 2020-06-11 Cheoljoon Jeong , Xiaolei Fang

The treatment assignment mechanism in a randomized clinical trial can be optimized for statistical efficiency within a specified class of randomization mechanisms. Optimal designs of this type have been characterized in terms of the…

Methodology · Statistics 2025-09-03 Wei Zhang , Zhiwei Zhang , Aiyi Liu

There is a fast-growing literature on estimating optimal treatment rules directly by maximizing the expected outcome. In biomedical studies and operations applications, censored survival outcome is frequently observed, in which case the…

Methodology · Statistics 2026-03-12 Yifan Cui , Junyi Liu , Tao Shen , Zhengling Qi , Xi Chen

Modern experimental designs often face the so-called treatment cardinality constraint, which is the constraint on the number of included factors in each treatment. Experiments with such constraints are commonly encountered in engineering…

Methodology · Statistics 2026-05-21 Kexin Xie , Ryan Lekivetz , Xinwei Deng