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The local projection-instrumental variable (LP-IV) literature has been largely silent on cases in which impulse responses are set-identified, arising when the shock of interest is composite and instruments are correlated with multiple…

Econometrics · Economics 2026-01-23 Bonsoo Koo , Seojeong Lee , Myung Hwan Seo , Masaya Takano

We propose a new estimator for the high-dimensional linear regression model with observation error in the design where the number of coefficients is potentially larger than the sample size. The main novelty of our procedure is that the…

Methodology · Statistics 2019-09-09 Alexandre Belloni , Abhishek Kaul , Mathieu Rosenbaum

When a subgroup is identified from the data, it must be evaluated in a replicable way. The usual in-sample approach, which evaluates the post-hoc identified subgroup as predefined, might suffer from selection bias. This issue of in-sample…

Methodology · Statistics 2026-05-06 Shuoxun Xu , Xinzhou Guo

While achieving high prediction accuracy is a fundamental goal in machine learning, an equally important task is finding a small number of features with high explanatory power. One popular selection technique is permutation importance,…

Machine Learning · Statistics 2024-10-02 Min Lu , Hemant Ishwaran

Instrumental variable (IV) regression is a strategy for learning causal relationships in observational data. If measurements of input X and output Y are confounded, the causal relationship can nonetheless be identified if an instrumental…

Machine Learning · Computer Science 2020-07-17 Rahul Singh , Maneesh Sahani , Arthur Gretton

We provide a justification for why, and when, endogeneity will not cause bias in the interpretation of the coefficients in a regression model. This technique can be a viable alternative to, or even used alongside, the instrumental variable…

General Economics · Economics 2022-03-29 Ravi Kashyap

Learning from noisy-labeled data is crucial for real-world applications. Traditional Noisy-Label Learning (NLL) methods categorize training data into clean and noisy sets based on the loss distribution of training samples. However, they…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Po-Hsuan Huang , Chia-Ching Lin , Chih-Fan Hsu , Ming-Ching Chang , Wei-Chao Chen

We show how to estimate a model's test error from unlabeled data, on distributions very different from the training distribution, while assuming only that certain conditional independencies are preserved between train and test. We do not…

Machine Learning · Computer Science 2016-06-17 Jacob Steinhardt , Percy Liang

This paper considers parametric model adequacy tests for nonlinear multivariate dynamic models. It is shown that commonly used Kolmogorov-type tests do not take into account cross-sectional nor time-dependence structure, and a test, based…

Methodology · Statistics 2021-08-10 Igor L. Kheifets

This paper presents uniform-in-time finite-sample bounds for regularized linear regression with vector-valued outputs and conditionally zero-mean subgaussian noise. By revisiting classical self-normalized martingale arguments, we obtain…

Statistics Theory · Mathematics 2026-03-20 Léo Simpson , Katrin Baumgärtner , Johannes Köhler , Moritz Diehl

The model-X conditional randomization test is a generic framework for conditional independence testing, unlocking new possibilities to discover features that are conditionally associated with a response of interest while controlling type-I…

Machine Learning · Computer Science 2023-02-21 Shalev Shaer , Yaniv Romano

Instrumental variables (IV) regression is a popular method for the estimation of the endogenous treatment effects. Conventional IV methods require all the instruments are relevant and valid. However, this is impractical especially in…

Econometrics · Economics 2020-06-29 Qingliang Fan , Yaqian Wu

Label noise in multiclass classification is a major obstacle to the deployment of learning systems. However, unlike the widely used class-conditional noise (CCN) assumption that the noisy label is independent of the input feature given the…

Machine Learning · Computer Science 2021-03-26 Yivan Zhang , Masashi Sugiyama

This paper develops a consistent series-based specification test for semiparametric panel data models with fixed effects. The test statistic resembles the Lagrange Multiplier (LM) test statistic in parametric models and is based on a…

Econometrics · Economics 2019-09-13 Ivan Korolev

We provide a limit theory for a general class of kernel smoothed U-statistics that may be used for specification testing in time series regression with nonstationary data. The test framework allows for linear and nonlinear models with…

Statistics Theory · Mathematics 2012-06-06 Qiying Wang , Peter C. B. Phillips

This study introduces a data-driven, machine learning-based method to detect suitable control variables and instruments for assessing the causal effect of a treatment on an outcome in observational data. Our approach tests the joint…

Econometrics · Economics 2026-05-20 Nicolas Apfel , Julia Hatamyar , Martin Huber , Jannis Kueck

The hypothesis of homogeneous treatment effects is central to the instrumental variables literature. This assumption signifies that treatment effects are constant across all subjects. It allows to interpret instrumental variable estimates…

Econometrics · Economics 2023-04-17 Jad Beyhum , Jean-Pierre Florens , Elia Lapenta , Ingrid Van Keilegom

For a high-dimensional linear model with a finite number of covariates measured with error, we study statistical inference on the parameters associated with the error-prone covariates, and propose a new corrected decorrelated score test and…

Methodology · Statistics 2020-01-29 Mengyan Li , Runze Li , Yanyuan Ma

For regression models, most of existing specification tests can be categorized into the class of local smoothing tests and of global smoothing tests. Compared with global smoothing tests, local smoothing tests can only detect local…

Methodology · Statistics 2017-10-18 Lingzhu Li , Lixing Zhu

Variable selection plays a fundamental role in high-dimensional data analysis. Various methods have been developed for variable selection in recent years. Well-known examples are forward stepwise regression (FSR) and least angle regression…

Methodology · Statistics 2018-02-01 Siliang Gong , Kai Zhang , Yufeng Liu
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