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We study design-unbiased estimation of the finite-population total $\sum_{i=1}^N y_i$ when each outcome satisfies known bounds $y_i\in[a_i,b_i]$. For any sampling design with inclusion probabilities $\pi_i>0$, we prove a sharp lower bound…

统计理论 · 数学 2026-05-21 P. M. Aronow , Patrick Lopatto

Estimation of individual treatment effects is commonly used as the basis for contextual decision making in fields such as healthcare, education, and economics. However, it is often sufficient for the decision maker to have estimates of…

机器学习 · 计算机科学 2020-08-13 Maggie Makar , Fredrik D. Johansson , John Guttag , David Sontag

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

统计方法学 · 统计学 2020-08-04 Muxuan Liang , Menggang Yu

We consider the performance of the difference-in-means estimator in a two-arm randomized experiment under common experimental endpoints such as continuous (regression), incidence, proportion and survival. We examine performance under both…

统计理论 · 数学 2025-07-08 David Azriel , Abba M. Krieger , Adam Kapelner

Building on the blueprint from Goemans and Williamson (1995) for the Max-Cut problem, we construct a polynomial-time approximation algorithm for orthogonally constrained quadratic optimization problems. First, we derive a semidefinite…

最优化与控制 · 数学 2026-03-17 Ryan Cory-Wright , Jean Pauphilet

This work considers the problem of binary classification: given training data $x_1, \dots, x_n$ from a certain population, together with associated labels $y_1,\dots, y_n \in \left\{0,1 \right\}$, determine the best label for an element $x$…

统计理论 · 数学 2016-07-04 Nicolas Garcia Trillos , Ryan Murray

The Kitagawa-Oaxaca-Blinder decomposition splits the difference in means between two groups into an explained part, due to observable factors, and an unexplained part. In this paper, we reformulate this framework using potential outcomes,…

计量经济学 · 经济学 2025-11-18 Emmanuel Flachaire , Bertille Picard

Variance parameter estimation in linear mixed models is a challenge for many classical nonlinear optimization algorithms due to the positive-definiteness constraint of the random effects covariance matrix. We take a completely novel view on…

机器学习 · 统计学 2022-12-20 Lena Sembach , Jan Pablo Burgard , Volker H. Schulz

Two-phase designs measure variables of interest on a subcohort where the outcome and covariates are readily available or cheap to collect on all individuals in the cohort. Given limited resource availability, it is of interest to find an…

统计方法学 · 统计学 2022-01-11 Tong Chen , Thomas Lumley

We improve the estimates in the restriction problem in dimension $n \ge 4$. To do so, we establish a weak version of a $k$-linear restriction estimate for any $k$. The exponents in this weak $k$-linear estimate are sharp for all $k$ and…

经典分析与常微分方程 · 数学 2017-11-06 Larry Guth

Delayed outcomes are ubiquitous in online experimentation. When such a temporal dimension is present, treatment influences not only the outcome value but also the outcome timing, which can move in opposite directions. Motivated by the…

统计方法学 · 统计学 2026-03-30 Michael Lindon , Nathan Kallus

We consider Bayesian optimization of expensive-to-evaluate experiments that generate vector-valued outcomes over which a decision-maker (DM) has preferences. These preferences are encoded by a utility function that is not known in closed…

机器学习 · 计算机科学 2022-03-23 Zhiyuan Jerry Lin , Raul Astudillo , Peter I. Frazier , Eytan Bakshy

The win ratio (WR) statistic is increasingly used to evaluate treatment effects based on prioritized composite endpoints, yet existing Bayesian adaptive designs are not directly applicable because the WR is a summary statistic derived from…

统计方法学 · 统计学 2026-02-20 Di Zhu , Yong Zang

This paper investigates estimation and inference for average treatment effects in completely randomized experiments when researchers observe potentially many covariates. Within Neyman's (1923) design-based framework, allowing the number of…

计量经济学 · 经济学 2025-11-20 Harold D Chiang , Yukitoshi Matsushita , Taisuke Otsu

We investigate the problem of estimating the causal effect of a treatment on individual subjects from observational data, this is a central problem in various application domains, including healthcare, social sciences, and online…

统计方法学 · 统计学 2019-01-30 Ahmed M. Alaa , Mihaela van der Schaar

Rare variants are hypothesized to be largely responsible for heritability and susceptibility to disease in humans. So rare variants association studies hold promise for understanding disease. Conversely though, the rareness of the variants…

统计方法学 · 统计学 2021-12-06 Lorenzo Masoero , Joshua Schraiber , Tamara Broderick

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

统计方法学 · 统计学 2022-10-14 Erik Spånberg

The motivations for using variational inference (VI) in neural networks differ significantly from those in latent variable models. This has a counter-intuitive consequence; more expressive variational approximations can provide…

机器学习 · 统计学 2018-01-22 Brian Trippe , Richard Turner

We consider the problem of estimating the mean of a random vector based on i.i.d. observations and adversarial contamination. We introduce a multivariate extension of the trimmed-mean estimator and show its optimal performance under minimal…

统计理论 · 数学 2020-02-25 Gabor Lugosi , Shahar Mendelson

In the setting of multi-armed trials, adaptive designs are a popular way to increase estimation efficiency, identify optimal treatments, or maximize rewards to individuals. Recent work has considered the case of estimating the effects of K…

统计方法学 · 统计学 2026-02-10 Evan T. R. Rosenman , Kristen B. Hunter