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Real-world time series data often exhibits substantial missing values, posing challenges for advanced analysis. A common approach to addressing this issue is imputation, where the primary challenge lies in determining the appropriate values…

Machine Learning · Computer Science 2025-12-02 Ying Liu , Peng Cui , Wenbo Hu , Richang Hong

To analyze unstructured data (text, images, audio, video), economists typically first extract low-dimensional structured features with a neural network. Neural networks do not make generically unbiased predictions, and biases will propagate…

Econometrics · Economics 2026-02-20 Jacob Carlson , Melissa Dell

A tacit assumption in classical linear regression problems is the full knowledge of the existing link between the covariates and responses. In Unlinked Linear Regression (ULR) this link is either partially or completely missing. While the…

Statistics Theory · Mathematics 2025-07-22 Fadoua Balabdaoui , Martin Slawski , Jonathan Steffani

This work is devoted to the finite sample prediction risk analysis of a class of linear predictors of a response $Y\in \mathbb{R}$ from a high-dimensional random vector $X\in \mathbb{R}^p$ when $(X,Y)$ follows a latent factor regression…

Machine Learning · Statistics 2021-04-26 Xin Bing , Florentina Bunea , Seth Strimas-Mackey , Marten Wegkamp

Tree ensembles are non-parametric methods widely recognized for their accuracy and ability to capture complex interactions. While these models excel at prediction, they are difficult to interpret and may fail to uncover useful relationships…

Machine Learning · Statistics 2026-04-01 Brian Liu , Rahul Mazumder , Peter Radchenko

Machine learning (ML) models have been quite successful in predicting outcomes in many applications. However, in some cases, domain experts might have a judgment about the expected outcome that might conflict with the prediction of ML…

Machine Learning · Computer Science 2023-05-02 Hogun Park , Aly Megahed , Peifeng Yin , Yuya Ong , Pravar Mahajan , Pei Guo

Unsupervised learning is the most challenging problem in machine learning and especially in deep learning. Among many scenarios, we study an unsupervised learning problem of high economic value --- learning to predict without costly pairing…

Machine Learning · Computer Science 2016-06-16 Jianshu Chen , Po-Sen Huang , Xiaodong He , Jianfeng Gao , Li Deng

We consider the problem of inference in a linear regression model in which the relative ordering of the input features and output labels is not known. Such datasets naturally arise from experiments in which the samples are shuffled or…

Machine Learning · Statistics 2018-04-04 Abubakar Abid , James Zou

This paper discusses the problem of determining optimal designs for regression models, when the observations are dependent and taken on an interval. A complete solution of this challenging optimal design problem is given for a broad class…

Methodology · Statistics 2015-02-25 Holger Dette , Andrey Pepelyshev , Anatoly Zhigljavsky

Ensemble methods such as random forests have transformed the landscape of supervised learning, offering highly accurate prediction through the aggregation of multiple weak learners. However, despite their effectiveness, these methods often…

Machine Learning · Computer Science 2026-05-29 Massimo Aria , Agostino Gnasso , Carmela Iorio , Marjolein Fokkema

The success of diffusion probabilistic models in generative tasks, such as text-to-image generation, has motivated the exploration of their application to regression problems commonly encountered in scientific computing and various other…

Machine Learning · Computer Science 2024-08-12 Dule Shu , Amir Barati Farimani

We propose a procedure to handle the problem of Gaussian regression when the variance is unknown. We mix least-squares estimators from various models according to a procedure inspired by that of Leung and Barron (2007). We show that in some…

Statistics Theory · Mathematics 2007-11-05 Christophe Giraud

We propose a principal components regression method based on maximizing a joint pseudo-likelihood for responses and predictors. Our method uses both responses and predictors to select linear combinations of the predictors relevant for the…

Methodology · Statistics 2021-08-10 Karl Oskar Ekvall

Whereas the ability of deep networks to produce useful predictions has been amply demonstrated, estimating the reliability of these predictions remains challenging. Sampling approaches such as MC-Dropout and Deep Ensembles have emerged as…

Machine Learning · Computer Science 2024-05-28 Nikita Durasov , Nik Dorndorf , Hieu Le , Pascal Fua

We introduce a very general method for sparse and large-scale variable selection. The large-scale regression settings is such that both the number of parameters and the number of samples are extremely large. The proposed method is based on…

Statistics Theory · Mathematics 2019-07-31 Jelena Bradic

In this paper we present the results of the Unconstrained Ear Recognition Challenge (UERC), a group benchmarking effort centered around the problem of person recognition from ear images captured in uncontrolled conditions. The goal of the…

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

Methodology · Statistics 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Semi-supervised learning has received increasingly attention in statistics and machine learning. In semi-supervised learning settings, a labeled data set with both outcomes and covariates and an unlabeled data set with covariates only are…

Machine Learning · Statistics 2024-02-26 Zhuojun Quan , Yuanyuan Lin , Kani Chen , Wen Yu

After four decades of research there still exists a Classification accuracy gap of about 20% between our best Unsupervisedly Learned Representations methods and the accuracy rates achieved by intelligent animals. It thus may well be that we…

Machine Learning · Computer Science 2025-05-30 Daniel N. Nissani

This paper establishes bounds on the predictive performance of empirical risk minimization for principal component regression. Our analysis is nonparametric, in the sense that the relation between the prediction target and the predictors is…

Econometrics · Economics 2024-09-18 Christian Brownlees , Guðmundur Stefán Guðmundsson , Yaping Wang
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