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We develop inference procedures robust to general forms of weak dependence. The procedures utilize test statistics constructed by resampling in a manner that does not depend on the unknown correlation structure of the data. We prove that…

Econometrics · Economics 2021-08-26 Michael P. Leung

Optimal designs for generalized linear models require a prior knowledge of the regression parameters. At certain values of the parameters we propose particular assumptions which allow to derive a locally optimal design for a model without…

Statistics Theory · Mathematics 2019-06-26 Osama Idais

Conventional methods in causal effect inferencetypically rely on specifying a valid set of control variables. When this set is unknown or misspecified, inferences will be erroneous. We propose a method for inferring average causal effects…

Methodology · Statistics 2021-06-14 Ludvig Hult , Dave Zachariah

Much of scientific data is collected as randomized experiments intervening on some and observing other variables of interest. Quite often, a given phenomenon is investigated in several studies, and different sets of variables are involved…

Methodology · Statistics 2012-10-19 Antti Hyttinen , Frederick Eberhardt , Patrik O. Hoyer

We consider an empirical likelihood framework for inference for a statistical model based on an informative sampling design. Covariate information is incorporated both through the weights and the estimating equations. The estimator is based…

Methodology · Statistics 2019-05-03 Sanjay Chaudhuri , Mark S. Handcock

We consider an empirical likelihood inference for parameters defined by general estimating equations when some components of the random observations are subject to missingness. As the nature of the estimating equations is wide-ranging, we…

Statistics Theory · Mathematics 2009-03-05 Dong Wang , Song Xi Chen

Generalized latent factor analysis not only provides a useful latent embedding approach in statistics and machine learning, but also serves as a widely used tool across various scientific fields, such as psychometrics, econometrics, and…

Methodology · Statistics 2025-08-11 Chengyu Cui , Gongjun Xu

Causal inference with observational studies often relies on the assumptions of unconfoundedness and overlap of covariate distributions in different treatment groups. The overlap assumption is violated when some units have propensity scores…

Methodology · Statistics 2022-07-19 Shu Yang , Peng Ding

Causal inference starts with a simple idea: compare groups that differ by treatment, not much else. Traditionally, similar groups are constructed using only observed covariates; however, it remains a long-standing challenge to incorporate…

Methodology · Statistics 2025-11-21 Ying Jin , José Zubizarreta

The logistic regression model is one of the most popular data generation model in noisy binary classification problems. In this work, we study the sample complexity of estimating the parameters of the logistic regression model up to a given…

Statistics Theory · Mathematics 2024-05-24 Daniel Hsu , Arya Mazumdar

One of the most common machine learning setups is logistic regression. In many classification models, including neural networks, the final prediction is obtained by applying a logistic link function to a linear score. In binary logistic…

Machine Learning · Statistics 2026-03-24 Avrajit Ghosh , Bin Yu , Manfred Warmuth , Peter Bartlett

The use of random sampling in decision-making and control has become popular with the ease of access to graphic processing units that can generate and calculate multiple random trajectories for real-time robotic applications. In contrast to…

Robotics · Computer Science 2022-03-21 Hyung-Jin Yoon , Chuyuan Tao , Hunmin Kim , Naira Hovakimyan , Petros Voulgaris

Consider a set of categorical variables $\mathcal{P}$ where at least one, denoted by $Y$, is binary. The log-linear model that describes the counts in the resulting contingency table implies a specific logistic regression model, with the…

Methodology · Statistics 2019-12-04 Wei Jing , Michail Papathomas

We consider the problem of evaluating the performance of a decision policy using past observational data. The outcome of a policy is measured in terms of a loss (aka. disutility or negative reward) and the main problem is making valid…

Machine Learning · Statistics 2023-07-03 Sofia Ek , Dave Zachariah , Fredrik D. Johansson , Petre Stoica

We consider problems in which a system receives external \emph{perturbations} from time to time. For instance, the system can be a train network in which particular lines are repeatedly disrupted without warning, having an effect on…

Machine Learning · Computer Science 2019-08-21 Nicolo Colombo , Ricardo Silva , Soong M Kang , Arthur Gretton

It is becoming increasingly common for researchers to consider incorporating external information from large studies to improve the accuracy of statistical inference instead of relying on a modestly sized dataset collected internally. With…

Methodology · Statistics 2021-07-20 Tian Gu , Jeremy M. G. Taylor , Bhramar Mukherjee

Likelihood-based methods of statistical inference provide a useful general methodology that is appealing, as a straightforward asymptotic theory can be applied for their implementation. It is important to assess the relationships between…

Statistics Theory · Mathematics 2015-03-20 Thomas J. DiCiccio , Todd A. Kuffner , G. Alastair Young , Russell Zaretzki

This paper develops an inferential theory for high-dimensional matrix-variate factor models with missing observations. We propose an easy-to-use all-purpose method that involves two straightforward steps. First, we perform principal…

Methodology · Statistics 2025-03-26 Yongxia Zhang , Jinwen Liang , Liwen Xu , Keming Yu , Maozai Tian

This paper describes how to convert a machine learning problem into a series of map-reduce tasks. We study logistic regression algorithm. In logistic regression algorithm, it is assumed that samples are independent and each sample is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-06 Qi Li

Like mean, quantile and variance, mode is also an important measure of central tendency and data summary. Many practical questions often focus on "Which element (gene or file or signal) occurs most often or is the most typical among all…

Methodology · Statistics 2012-08-03 Keming Yu , Katerina Aristodemou
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