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We study confidence interval construction for linear regression under Huber's contamination model, where an unknown fraction of noise variables is arbitrarily corrupted. While robust point estimation in this setting is well understood,…

Statistics Theory · Mathematics 2026-04-03 Dong Xie , Chao Gao , John Lafferty

This paper addresses the robust estimation of linear regression models in the presence of potentially endogenous outliers. Through Monte Carlo simulations, we demonstrate that existing $L_1$-regularized estimation methods, including the…

Econometrics · Economics 2024-08-08 Zhan Gao , Hyungsik Roger Moon

Robust reinforcement learning aims to produce policies that have strong guarantees even in the face of environments/transition models whose parameters have strong uncertainty. Existing work uses value-based methods and the usual primitive…

Artificial Intelligence · Computer Science 2018-02-12 Daniel J. Mankowitz , Timothy A. Mann , Pierre-Luc Bacon , Doina Precup , Shie Mannor

Today's data pose unprecedented challenges to statisticians. It may be incomplete, corrupted or exposed to some unknown source of contamination. We need new methods and theories to grapple with these challenges. Robust estimation is one of…

Statistics Theory · Mathematics 2017-01-17 Mengjie Chen , Chao Gao , Zhao Ren

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…

Methodology · Statistics 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

Several AutoML approaches have been proposed to automate the machine learning (ML) process, such as searching for the ML model architectures and hyper-parameters. However, these AutoML pipelines only focus on improving the learning accuracy…

Machine Learning · Computer Science 2021-01-18 Xiaoyang Wang , Bo Li , Yibo Zhang , Bhavya Kailkhura , Klara Nahrstedt

The complex software systems developed nowadays require assessing their quality and proneness to errors. Reducing code complexity is a never-ending problem, especially in today's fast pace of software systems development. Therefore, the…

Software Engineering · Computer Science 2025-04-02 Laura Diana Cernau , Laura Diosan , Camelia Serban

Information theoretic criteria (ITC) have been widely adopted in engineering and statistics for selecting, among an ordered set of candidate models, the one that better fits the observed sample data. The selected model minimizes a penalized…

Machine Learning · Statistics 2019-10-10 Andrea Mariani , Andrea Giorgetti , Marco Chiani

Understanding efficiency in high dimensional linear models is a longstanding problem of interest. Classical work with smaller dimensional problems dating back to Huber and Bickel has illustrated the benefits of efficient loss functions.…

Statistics Theory · Mathematics 2017-08-16 Jelena Bradic

Feature based explanations, that provide importance of each feature towards the model prediction, is arguably one of the most intuitive ways to explain a model. In this paper, we establish a novel set of evaluation criteria for such feature…

Machine Learning · Computer Science 2021-04-12 Cheng-Yu Hsieh , Chih-Kuan Yeh , Xuanqing Liu , Pradeep Ravikumar , Seungyeon Kim , Sanjiv Kumar , Cho-Jui Hsieh

Robust estimators for linear regression require non-convex objective functions to shield against adverse affects of outliers. This non-convexity brings challenges, particularly when combined with penalization in high-dimensional settings.…

Computation · Statistics 2025-08-08 David Kepplinger , Siqi Wei

If you are predicting the label $y$ of a new object with $\hat y$, how confident are you that $y = \hat y$? Conformal prediction methods provide an elegant framework for answering such question by building a $100 (1 - \alpha)\%$ confidence…

Machine Learning · Statistics 2019-11-11 Eugene Ndiaye , Ichiro Takeuchi

Changepoint detection is commonly formulated by minimizing the sum of in-sample losses to quantify the model's overall fit. However, for flexible modeling procedures -- especially those involving high-dimensional parameter spaces or…

Methodology · Statistics 2026-05-05 Chengde Qian , Guanghui Wang , Zhaojun Wang , Changliang Zou

Document classification is the detection specific content of interest in text documents. In contrast to the data-driven machine learning classifiers, knowledge-based classifiers can be constructed based on domain specific knowledge, which…

Computation and Language · Computer Science 2022-06-07 AtMa P. O. Chan

We here introduce a novel classification approach adopted from the nonlinear model identification framework, which jointly addresses the feature selection and classifier design tasks. The classifier is constructed as a polynomial expansion…

Machine Learning · Computer Science 2016-07-29 Aida Brankovic , Alessandro Falsone , Maria Prandini , Luigi Piroddi

In probabilistic approaches to classification and information extraction, one typically builds a statistical model of words under the assumption that future data will exhibit the same regularities as the training data. In many data sets,…

Machine Learning · Computer Science 2013-01-07 David Blei , J Andrew Bagnell , Andrew McCallum

We consider the variable selection problem, which seeks to identify important variables influencing a response $Y$ out of many candidate features $X_1, \ldots, X_p$. We wish to do so while offering finite-sample guarantees about the…

Methodology · Statistics 2019-02-12 Rina Foygel Barber , Emmanuel J. Candès , Richard J. Samworth

When faced with a supervised learning problem, we hope to have rich enough data to build a model that predicts future instances well. However, in practice, problems can exhibit predictive heterogeneity: most instances might be relatively…

Machine Learning · Statistics 2016-08-02 Rhiannon V. Rose , Daniel J. Lizotte

We propose a novel loss function that dynamically rescales the cross entropy based on prediction difficulty regarding a sample. Deep neural network architectures in image classification tasks struggle to disambiguate visually similar…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Serim Ryou , Seong-Gyun Jeong , Pietro Perona

The effectiveness of a query optimizer relies on the accuracy of selectivity estimates. The execution plan generated by the optimizer can be extremely poor in reality due to uncertainty in these estimates. This paper presents PARQO…

Databases · Computer Science 2024-07-17 Haibo Xiu , Pankaj K. Agarwal , Jun Yang
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