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We wish to test whether a real-valued variable $Z$ has explanatory power, in addition to a multivariate variable $X$, for a binary variable $Y$. Thus, we are interested in testing the hypothesis $\mathbb{P}(Y=1\, | \, X,Z)=\mathbb{P}(Y=1\,…

统计方法学 · 统计学 2025-12-23 John H. J. Einmahl , Denis Kojevnikov , Bas J. M. Werker

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

计量经济学 · 经济学 2026-01-13 Jiawei Fu , Donald P. Green

The solving of scientific and practical application connected with conducting of satellite experiments and measurement demand analysis of geometric and physic conditions according to different kind of models. This is forced in connect of…

空间物理 · 物理学 2010-02-26 Atanas Marinov Atanassov

We investigate the performance and sampling variability of estimated forecast combinations, with particular attention given to the combination of forecast distributions. Unknown parameters in the forecast combination are optimized according…

统计方法学 · 统计学 2022-06-07 Ryan Zischke , Gael M. Martin , David T. Frazier , D. S. Poskitt

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

统计方法学 · 统计学 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

We provide guidance on multiple imputation of missing at random treatments in observational studies. Specifically, analysts should account for both covariates and outcomes, i.e., not just use propensity scores, when imputing the missing…

统计方法学 · 统计学 2025-01-23 Joseph Feldman , Jerome P. Reiter

This work investigates the intersection property of conditional independence. It states that for random variables $A,B,C$ and $X$ we have that $X$ independent of $A$ given $B,C$ and $X$ independent of $B$ given $A,C$ implies $X$ independent…

概率论 · 数学 2016-08-18 Jonas Peters

Hidden-variable models aim to reproduce the results of quantum theory and to satisfy our classical intuition. Their refutation is usually based on deriving predictions that are different from those of quantum mechanics. Here instead we…

量子物理 · 物理学 2015-03-05 Radu Ionicioiu , Robert B. Mann , Daniel R. Terno

We consider large-scale studies in which it is of interest to test a very large number of hypotheses, and then to estimate the effect sizes corresponding to the rejected hypotheses. For instance, this setting arises in the analysis of gene…

统计方法学 · 统计学 2015-03-31 Kean Ming Tan , Noah Simon , Daniela Witten

Model multiplicity refers to the existence of multiple machine learning models that describe the data equally well but may produce different predictions on individual samples. In medicine, these models can admit conflicting predictions for…

Predictive variability due to data ambiguities has typically been addressed via construction of dedicated models with built-in probabilistic capabilities that are trained to predict uncertainty estimates as variables of interest. These…

机器学习 · 计算机科学 2023-08-04 Katarína Tóthová , Ľubor Ladický , Daniel Thul , Marc Pollefeys , Ender Konukoglu

Visual explanation (attention)-guided learning uses not only labels but also explanations to guide model reasoning process. While visual attention-guided learning has shown promising results, it requires a large number of explanation…

计算机视觉与模式识别 · 计算机科学 2024-11-21 Yifei Zhang , Siyi Gu , Bo Pan , Guangji Bai , Meikang Qiu , Xiaofeng Yang , Liang Zhao

There are three principle paradigms of statistical inference: (i) Bayesian, (ii) information-based and (iii) frequentist inference. We describe an objective prior (the weighting or $w$-prior) which unifies objective Bayes and…

机器学习 · 统计学 2015-06-26 Colin H. LaMont , Paul A. Wiggins

Selective prediction systems can mitigate harms resulting from language model hallucinations by abstaining from answering in high-risk cases. Uncertainty quantification techniques are often employed to identify such cases, but are rarely…

计算与语言 · 计算机科学 2026-03-24 Edward Phillips , Fredrik K. Gustafsson , Sean Wu , Anshul Thakur , David A. Clifton

The problem of comparing concepts of dependence in general rough sets with those in probability theory had been initiated by the present author in some of her recent papers. This problem relates to the identification of the limitations of…

逻辑 · 数学 2018-04-09 A Mani

We present an objective function for learning with unlabeled data that utilizes auxiliary expectation constraints. We optimize this objective function using a procedure that alternates between information and moment projections. Our method…

机器学习 · 计算机科学 2012-05-14 Kedar Bellare , Gregory Druck , Andrew McCallum

We develop a novel method for counterfactual analysis based on observational data using prediction intervals for units under different exposures. Unlike methods that target heterogeneous or conditional average treatment effects of an…

统计理论 · 数学 2018-07-18 Dave Zachariah , Petre Stoica

Functional principal component analysis has been shown to be invaluable for revealing variation modes of longitudinal outcomes, which serves as important building blocks for forecasting and model building. Decades of research have advanced…

统计方法学 · 统计学 2024-10-07 Peijun Sang , Dehan Kong , Shu Yang

A general structural equation model is fitted on a panel data set that consists of $I$ correlated samples. The correlated samples could be data from correlated populations or correlated observations from occasions of panel data. We consider…

统计理论 · 数学 2007-06-13 Savas Papadopoulos , Yasuo Amemiya

This paper studies the problem of {\em learning} the probability distribution $P_X$ of a discrete random variable $X$ using indirect and sequential samples. At each time step, we choose one of the possible $K$ functions, $g_1, \ldots, g_K$…

机器学习 · 计算机科学 2018-08-17 Samarth Gupta , Gauri Joshi , Osman Yağan