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We consider the most common variants of linear regression, including Ridge, Lasso and Support-vector regression, in a setting where the learner is allowed to observe only a fixed number of attributes of each example at training time. We…

Machine Learning · Computer Science 2015-03-19 Elad Hazan , Tomer Koren

We consider the problem of optimally allocating resources across a set of transmitters and receivers in a wireless network. The resulting optimization problem takes the form of constrained statistical learning, in which solutions can be…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Mark Eisen , Alejandro Ribeiro

We study the problem of selecting limited features to observe such that models trained on them can perform well simultaneously across multiple subpopulations. This problem has applications in settings where collecting each feature is…

Machine Learning · Computer Science 2025-10-27 Maitreyi Swaroop , Tamar Krishnamurti , Bryan Wilder

We study the optimal sample complexity of variable selection in linear regression under general design covariance, and show that subset selection is optimal while under standard complexity assumptions, efficient algorithms for this problem…

Statistics Theory · Mathematics 2025-10-07 Ming Gao , Bryon Aragam

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

Robotics · Computer Science 2019-08-26 Francesco Cursi , Guang-Zhong Yang

Distributed machine learning systems have been receiving increasing attentions for their efficiency to process large scale data. Many distributed frameworks have been proposed for different machine learning tasks. In this paper, we study…

Machine Learning · Computer Science 2020-07-01 Hongwei Sun , Qiang Wu

We consider the problem of online prediction for an unknown, non-explosive linear stochastic system. With a known system model, the optimal predictor is the celebrated Kalman filter. In the case of unknown systems, existing approaches based…

Machine Learning · Computer Science 2025-05-15 Jiachen Qian , Yang Zheng

We develop a neural-network framework for multi-period risk--reward stochastic control problems with constrained two-step feedback policies that may be discontinuous in the state. We allow a broad class of objectives built on a…

Computational Finance · Quantitative Finance 2026-03-09 Chang Chen , Duy-Minh Dang

We consider regression in which one predicts a response $Y$ with a set of predictors $X$ across different experiments or environments. This is a common setup in many data-driven scientific fields and we argue that statistical inference can…

Methodology · Statistics 2026-03-23 Niklas Pfister , Evan G. Williams , Jonas Peters , Ruedi Aebersold , Peter Bühlmann

Linear regression is arguably the most fundamental statistical model; however, the validity of its use in randomized clinical trials, despite being common practice, has never been crystal clear, particularly when stratified or…

Methodology · Statistics 2023-02-14 Wei Ma , Fuyi Tu , Hanzhong Liu

We consider inference on a scalar regression coefficient under a constraint on the magnitude of the control coefficients. A class of estimators based on a regularized propensity score regression is shown to exactly solve a tradeoff between…

Econometrics · Economics 2023-08-11 Timothy B. Armstrong , Michal Kolesár , Soonwoo Kwon

Efficient estimation under bias sampling, censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent. Several biased designs are considered for models with variables…

Statistics Theory · Mathematics 2007-10-22 Odile Pons

Most data sets comprise of measurements on continuous and categorical variables. In regression and classification Statistics literature, modeling high-dimensional mixed predictors has received limited attention. In this paper we study the…

Statistics Theory · Mathematics 2021-10-26 Efstathia Bura , Liliana Forzani , Rodrigo García Arancibia , Pamela Llop , Diego Tomassi

We study the problem of estimating a functional or a parameter in the context where outcome is subject to nonignorable missingness. We completely avoid modeling the regression relation, while allowing the propensity to be modeled by a…

Methodology · Statistics 2021-08-12 Samidha Shetty , Yanyuan Ma , Jiwei Zhao

In safety-critical applications of machine learning, it is often important to abstain from making predictions on low confidence examples. Standard abstention methods tend to be focused on optimizing top-k accuracy, but in many applications,…

Machine Learning · Statistics 2022-06-22 Amr M. Alexandari , Anshul Kundaje , Avanti Shrikumar

This paper proposes the capped least squares regression with an adaptive resistance parameter, hence the name, adaptive capped least squares regression. The key observation is, by taking the resistant parameter to be data dependent, the…

Methodology · Statistics 2021-07-02 Qiang Sun , Rui Mao , Wen-Xin Zhou

Transfer learning refers to the promising idea of initializing model fits based on pre-training on other data. We particularly consider regression modeling settings where parameter estimates from previous data can be used as anchoring…

Methodology · Statistics 2020-07-07 Wessel N. van Wieringen , Harald Binder

Multi-horizon time-series forecasting involves simultaneously making predictions for a consecutive sequence of subsequent time steps. This task arises in many application domains, such as healthcare and finance, where mispredictions can…

Machine Learning · Computer Science 2026-02-05 Luca Stradiotti , Laurens Devos , Anna Monreale , Jesse Davis , Andrea Pugnana

The aim of reduced rank regression is to connect multiple response variables to multiple predictors. This model is very popular, especially in biostatistics where multiple measurements on individuals can be re-used to predict multiple…

Methodology · Statistics 2022-06-20 The Tien Mai , Pierre Alquier

Negative binomial regression is essential for analyzing over-dispersed count data in in comparative studies, but parameter estimation becomes computationally challenging in large screens requiring millions of comparisons. We investigate…

Machine Learning · Statistics 2025-08-07 Valentine Svensson