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Learning compact and interpretable representations is a very natural task, which has not been solved satisfactorily even for simple binary datasets. In this paper, we review various ways of composing experts for binary data and argue that…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Marc Goessling , Yali Amit

It is well-known that, without restricting treatment effect heterogeneity, instrumental variable (IV) methods only identify "local" effects among compliers, i.e., those subjects who take treatment only when encouraged by the IV. Local…

Methodology · Statistics 2019-06-03 Edward H. Kennedy , Sivaraman Balakrishnan , Max G'Sell

The recent availability of huge, many-dimensional data sets, like those arising from genome-wide association studies (GWAS), provides many opportunities for strengthening causal inference. One popular approach is to utilize these…

Machine Learning · Statistics 2020-12-21 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Empirical Bayes methods offer valuable tools for a large class of compound decision problems. In this tutorial we describe some basic principles of the empirical Bayes paradigm stressing their frequentist interpretation. Emphasis is placed…

Methodology · Statistics 2024-04-05 Roger Koenker , Jiaying Gu

Estimating causal effects of continuous treatments is a common problem in practice, for example, in studying average dose-response functions. Classical analyses typically assume that all confounders are fully observed, whereas in real-world…

Statistics Theory · Mathematics 2026-04-14 Shuyuan Chen , Peng Zhang , Yifan Cui

We propose a robust hypothesis testing procedure for the predictability of multiple predictors that could be highly persistent. Our method improves the popular extended instrumental variable (IVX) testing (Phillips and Lee, 2013; Kostakis…

Methodology · Statistics 2024-01-03 Xiaosai Liao , Xinjue Li , Qingliang Fan

Instrumental variable methods have been widely used to identify causal effects in the presence of unmeasured confounding. A key identification condition known as the exclusion restriction states that the instrument cannot have a direct…

Methodology · Statistics 2022-08-05 Baoluo Sun , Yifan Cui , Eric Tchetgen Tchetgen

This paper develops a framework to study the statistical power of revealed-preference tests. With randomly sampled budgets and mild smoothness of demand, statistical learning implies that any model consistent with the data must approximate…

Theoretical Economics · Economics 2026-02-12 Charles Gauthier , Raghav Malhotra , Agustin Troccoli Moretti

Collective adaptation, whether in innovation adoption, pro-environmental or organizational change, emerges from the interplay between individual decisions and social influence. Agent-based modeling provides a useful tool for studying such…

Physics and Society · Physics 2025-10-29 Angelika Abramiuk-Szurlej , Katarzyna Sznajd-Weron

Outlying observations are frequently encountered across a wide spectrum of scientific domains, posing notable challenges to the generalizability of statistical models and the reproducibility of downstream analysis. They are identified…

Methodology · Statistics 2026-03-17 Dongliang Zhang , Masoud Asgharian , Martin A. Lindquist

Imitation learning from demonstrations usually suffers from the confounding effects of unmeasured variables (i.e., unmeasured confounders) on the states and actions. If ignoring them, a biased estimation of the policy would be entailed. To…

Machine Learning · Computer Science 2025-07-24 Yan Zeng , Shenglan Nie , Feng Xie , Libo Huang , Peng Wu , Zhi Geng

Instrumental variable methods are among the most commonly used causal inference approaches to deal with unmeasured confounders in observational studies. The presence of invalid instruments is the primary concern for practical applications,…

Methodology · Statistics 2023-04-18 Zijian Guo

Standard probabilistic linear discriminant analysis (PLDA) for speaker recognition assumes that the sample's features (usually, i-vectors) are given by a sum of three terms: a term that depends on the speaker identity, a term that models…

Machine Learning · Computer Science 2018-01-17 Luciana Ferrer

The method of instrumental variables (IV) provides a framework to study causal effects in both randomized experiments with noncompliance and in observational studies where natural circumstances produce as-if random nudges to accept…

Methodology · Statistics 2018-02-07 Hyunseung Kang , Laura Peck , Luke Keele

Latent variable models are popularly used to measure latent factors (e.g., abilities and personalities) from large-scale assessment data. Beyond understanding these latent factors, the covariate effect on responses controlling for latent…

Methodology · Statistics 2026-01-12 Jing Ouyang , Chengyu Cui , Kean Ming Tan , Gongjun Xu

Training data influence estimation methods quantify the contribution of training documents to a model's output, making them a promising source of information for example-based explanations. As humans cannot interpret thousands of documents,…

Computation and Language · Computer Science 2026-04-10 Loris Schoenegger , Benjamin Roth

Large-scale datasets are increasingly being used to inform decision making. While this effort aims to ground policy in real-world evidence, challenges have arisen as selection bias and other forms of distribution shifts often plague…

Methodology · Statistics 2023-11-07 Santiago Cortes-Gomez , Mateo Dulce , Carlos Patino , Bryan Wilder

We investigate the problem of calibration and assessment of predictive rules in prognostic designs when missing values are present in the predictors. Our paper has two key objectives which are entwined. The first is to investigate how the…

Methodology · Statistics 2018-10-12 B. J. A. Mertens , E. Banzato , L. C. de Wreede

For settings with a binary treatment and a binary outcome, instrumental variables can be used to construct bounds on a causal treatment effect. With continuous outcomes, meaningful bounds are more difficult to obtain because the domain of…

Methodology · Statistics 2013-03-26 Tao Liu , Joseph W. Hogan

In observational studies, treatments are typically not randomized and therefore estimated treatment effects may be subject to confounding bias. The instrumental variable (IV) design plays the role of a quasi-experimental handle since the IV…

Methodology · Statistics 2016-08-30 Lan Liu , Wang Miao , Baoluo Sun , James Robins , Eric Tchetgen Tchetgen