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Selective regression allows abstention from prediction if the confidence to make an accurate prediction is not sufficient. In general, by allowing a reject option, one expects the performance of a regression model to increase at the cost of…

Machine Learning · Computer Science 2022-07-18 Abhin Shah , Yuheng Bu , Joshua Ka-Wing Lee , Subhro Das , Rameswar Panda , Prasanna Sattigeri , Gregory W. Wornell

Doubly robust estimators have gained widespread popularity in various fields due to their ability to provide unbiased estimates under model misspecification. However, the asymptotic theory for doubly robust estimators with continuous-time…

Statistics Theory · Mathematics 2024-04-23 Andrew Ying

In many public health problems, an important goal is to identify the effect of some treatment/intervention on the risk of failure for the whole population. A marginal proportional hazards regression model is often used to analyze such an…

Statistics Theory · Mathematics 2007-06-13 Donglin Zeng

Penalized regression has become a standard tool for model building across a wide range of application domains. Common practice is to tune the amount of penalization to tradeoff bias and variance or to optimize some other measure of…

Methodology · Statistics 2018-04-05 Wenhao Hu , Eric Laber , Leonard Stefanski

In this paper, we propose a dual set membership filter for nonlinear dynamic systems with unknown but bounded noises, and it has three distinctive properties. Firstly, the nonlinear system is translated into the linear system by leveraging…

Dynamical Systems · Mathematics 2019-03-26 Zhiguo Wang , Xiaojing Shen , Haiqi Liu , Fanqin Meng , Yunmin Zhu

We study counterfactual regression, which aims to map input features to outcomes under hypothetical scenarios that differ from those observed in the data. This is particularly useful for decision-making when adapting to sudden shifts in…

Methodology · Statistics 2025-04-08 Kwangho Kim

We consider the problem of simultaneous variable selection and estimation in additive, partially linear models for longitudinal/clustered data. We propose an estimation procedure via polynomial splines to estimate the nonparametric…

Statistics Theory · Mathematics 2013-02-04 Shujie Ma , Qiongxia Song , Li Wang

This paper develops a robust and efficient method for policy learning from observational data in the presence of unobserved confounding, complementing existing instrumental variable (IV) based approaches. We employ the marginal sensitivity…

Econometrics · Economics 2025-07-29 Zequn Jin , Gaoqian Xu , Xi Zheng , Yahong Zhou

Integrating probability and non-probability samples is increasingly important, yet unknown sampling mechanisms in non-probability sources complicate identification and efficient estimation. We develop semiparametric theory for dual-frame…

Methodology · Statistics 2026-01-14 Kosuke Morikawa , Jae Kwang Kim

We propose a novel technique for algorithm-selection, applicable to optimisation domains in which there is implicit sequential information encapsulated in the data, e.g., in online bin-packing. Specifically we train two types of recurrent…

Machine Learning · Computer Science 2022-03-28 Mohamad Alissa , Kevin Sim , Emma Hart

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

Methodology · Statistics 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

Deep neural networks have emerged as powerful tools for learning operators defined over infinite-dimensional function spaces. However, existing theories frequently encounter difficulties related to dimensionality and limited…

Machine Learning · Computer Science 2026-05-12 Jianfei Li , Shuo Huang , Han Feng , Ding-Xuan Zhou , Gitta Kutyniok

Important advances have recently been achieved in developing procedures yielding uniformly valid inference for a low dimensional causal parameter when high-dimensional nuisance models must be estimated. In this paper, we review the…

Statistics Theory · Mathematics 2025-09-08 Niloofar Moosavi , Jenny Häggström , Xavier de Luna

The infinite-dimensional information operator for the nuisance parameter plays a key role in semiparametric inference, as it is closely related to the regular estimability of the target parameter. Calculation of information operators has…

Statistics Theory · Mathematics 2018-10-16 Lu Mao

We modify the Double Machine Learning estimator to broaden its applicability to macroeconomic time-series settings. A deterministic cross-fitting step, termed Reverse Cross-Fitting, leverages the time-reversibility of stationary series to…

Econometrics · Economics 2026-03-12 Milos Ciganovic , Federico D'Amario , Massimiliano Tancioni

The effectiveness of supervised learning techniques has made them ubiquitous in research and practice. In high-dimensional settings, supervised learning commonly relies on dimensionality reduction to improve performance and identify the…

Machine Learning · Computer Science 2016-08-11 Chang Liu , Bo Li , Yevgeniy Vorobeychik , Alina Oprea

A new line of research for feature selection based on neural networks has recently emerged. Despite its superiority to classical methods, it requires many training iterations to converge and detect informative features. The computational…

Machine Learning · Computer Science 2022-11-29 Ghada Sokar , Zahra Atashgahi , Mykola Pechenizkiy , Decebal Constantin Mocanu

The functional linear model is an important extension of the classical regression model allowing for scalar responses to be modeled as functions of stochastic processes. Yet, despite the usefulness and popularity of the functional linear…

Methodology · Statistics 2025-11-27 Ioannis Kalogridis , Stanislav Nagy

Algorithmic decision making process now affects many aspects of our lives. Standard tools for machine learning, such as classification and regression, are subject to the bias in data, and thus direct application of such off-the-shelf tools…

Machine Learning · Statistics 2017-10-16 Junpei Komiyama , Hajime Shimao

We consider selection of random predictors for high-dimensional regression problem with binary response for a general loss function. Important special case is when the binary model is semiparametric and the response function is misspecified…

Statistics Theory · Mathematics 2020-02-19 Mariusz Kubkowski , Jan Mielniczuk
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