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We examine the linear regression problem in a challenging high-dimensional setting with correlated predictors where the vector of coefficients can vary from sparse to dense. In this setting, we propose a combination of probabilistic…

Methodology · Statistics 2025-05-13 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

One of the biggest bottlenecks in a machine learning workflow is waiting for models to train. Depending on the available computing resources, it can take days to weeks to train a neural network on a large dataset with many classes such as…

Machine Learning · Computer Science 2019-06-13 Sam Shleifer , Eric Prokop

In this paper, we apply shrinkage strategies to estimate regression coefficients efficiently for the high-dimensional multiple regression model, where the number of samples is smaller than the number of predictors. We assume in the sparse…

Methodology · Statistics 2017-04-19 B. Yuzbasi , M. Arashi , S. E. Ahmed

Auxiliary information is increasingly available from administrative and other data sources, but it is often incomplete and of non-probability origin. We propose a two-step small area estimation approach in which the first step relies on…

Methodology · Statistics 2026-02-16 Donatas Šlevinskas , Ieva Burakauskaitė , Andrius Čiginas

In this paper, we address the problem of conducting statistical inference in settings involving large-scale data that may be high-dimensional and contaminated by outliers. The high volume and dimensionality of the data require distributed…

Machine Learning · Statistics 2022-11-30 Emadaldin Mozafari-Majd , Visa Koivunen

Classically, statistical datasets have a larger number of data points than features ($n > p$). The standard model of classical statistics caters for the case where data points are considered conditionally independent given the parameters.…

Machine Learning · Statistics 2022-03-16 Sijia Li , Martín López-García , Neil D. Lawrence , Luisa Cutillo

Across domains such as medicine, employment, and criminal justice, predictive models often target labels that imperfectly reflect the outcomes of interest to experts and policymakers. For example, clinical risk assessments deployed to…

Machine Learning · Computer Science 2023-05-19 Luke Guerdan , Amanda Coston , Kenneth Holstein , Zhiwei Steven Wu

High-dimensional time series datasets are becoming increasingly common in many areas of biological and social sciences. Some important applications include gene regulatory network reconstruction using time course gene expression data, brain…

Methodology · Statistics 2021-08-02 Sumanta Basu , David S. Matteson

Many existing approaches for generating predictions in settings with distribution shift model distribution shifts as adversarial or low-rank in suitable representations. In various real-world settings, however, we might expect shifts to…

Machine Learning · Statistics 2023-10-31 Kirk Bansak , Elisabeth Paulson , Dominik Rothenhäusler

Model Cascading, recently applied successfully to LLMs, is a simple but powerful technique that improves the efficiency of inference by selectively applying models of varying sizes. Models are used in sequence from smallest to largest, only…

Machine Learning · Computer Science 2025-08-21 David Warren , Mark Dras

As the size of datasets used in statistical learning continues to grow, distributed training of models has attracted increasing attention. These methods partition the data and exploit parallelism to reduce memory and runtime, but suffer…

Machine Learning · Computer Science 2024-07-10 Fred Lu , Ryan R. Curtin , Edward Raff , Francis Ferraro , James Holt

Inferring causal relationships or related associations from observational data can be invalidated by the existence of hidden confounding. We focus on a high-dimensional linear regression setting, where the measured covariates are affected…

Methodology · Statistics 2021-07-22 Zijian Guo , Domagoj Ćevid , Peter Bühlmann

In many domains, it is difficult to obtain the race data that is required to estimate racial disparity. To address this problem, practitioners have adopted the use of proxy methods which predict race using non-protected covariates. However,…

Computers and Society · Computer Science 2024-09-04 Kweku Kwegyir-Aggrey , Naveen Durvasula , Jennifer Wang , Suresh Venkatasubramanian

Existing metric learning losses can be categorized into two classes: pair-based and proxy-based losses. The former class can leverage fine-grained semantic relations between data points, but slows convergence in general due to its high…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Sungyeon Kim , Dongwon Kim , Minsu Cho , Suha Kwak

We add a set of convex constraints to the lasso to produce sparse interaction models that honor the hierarchy restriction that an interaction only be included in a model if one or both variables are marginally important. We give a precise…

Methodology · Statistics 2013-06-20 Jacob Bien , Jonathan Taylor , Robert Tibshirani

High-dimensional prediction typically comprises two steps: variable selection and subsequent least-squares refitting on the selected variables. However, the standard variable selection procedures, such as the lasso, hinge on tuning…

Methodology · Statistics 2017-06-07 Didier Chételat , Johannes Lederer , Joseph Salmon

High-dimensional learning problems, where the number of features exceeds the sample size, often require sparse regularization for effective prediction and variable selection. While established for fully supervised data, these techniques…

Machine Learning · Computer Science 2026-01-01 The Tien Mai , Mai Anh Nguyen , Trung Nghia Nguyen

Researchers often lack the resources to test every hypothesis of interest directly or compute test statistics comprehensively, but often possess auxiliary data from which we can compute an estimate of the experimental outcome. We introduce…

Methodology · Statistics 2025-12-16 Ziyu Xu , Catherine Wang , Larry Wasserman , Kathryn Roeder , Aaditya Ramdas

Trajectory data is crucial for various applications but often suffers from incompleteness due to device limitations and diverse collection scenarios. Existing imputation methods rely on sparse trajectory or travel information, such as…

Machine Learning · Computer Science 2025-05-30 Tianci Bu , Le Zhou , Wenchuan Yang , Jianhong Mou , Kang Yang , Suoyi Tan , Feng Yao , Jingyuan Wang , Xin Lu

This paper is concerned with high-dimensional panel data models where the number of regressors can be much larger than the sample size. Under the assumption that the true parameter vector is sparse we propose a panel-Lasso estimator and…

Statistics Theory · Mathematics 2014-02-14 Anders Bredahl Kock