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The paper uses structured machine learning regressions for nowcasting with panel data consisting of series sampled at different frequencies. Motivated by the problem of predicting corporate earnings for a large cross-section of firms with…

Econometrics · Economics 2023-07-07 Andrii Babii , Ryan T. Ball , Eric Ghysels , Jonas Striaukas

This paper introduces structured machine learning regressions for high-dimensional time series data potentially sampled at different frequencies. The sparse-group LASSO estimator can take advantage of such time series data structures and…

Econometrics · Economics 2020-12-15 Andrii Babii , Eric Ghysels , Jonas Striaukas

We consider panel data models where coefficients change smoothly over time and follow a latent group structure, being homogeneous within but heterogeneous across groups. To jointly estimate the group membership and group-specific…

Econometrics · Economics 2025-11-19 Paul Haimerl , Stephan Smeekes , Ines Wilms

Sparse learning is ubiquitous in many machine learning tasks. It aims to regularize the goodness-of-fit objective by adding a penalty term to encode structural constraints on the model parameters. In this paper, we develop a flexible sparse…

Machine Learning · Statistics 2026-02-10 Yingjie Wang , Mokhtar Z. Alaya , Salim Bouzebda , Xinsheng Liu

There has been considerable advance in understanding the properties of sparse regularization procedures in high-dimensional models. In time series context, it is mostly restricted to Gaussian autoregressions or mixing sequences. We study…

Statistics Theory · Mathematics 2021-06-15 Ricardo P. Masini , Marcelo C. Medeiros , Eduardo F. Mendes

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

Econometrics · Economics 2020-06-12 Matteo Mogliani , Anna Simoni

The success of deep learning depends on large-scale and well-curated training data, while data in real-world applications are commonly long-tailed and noisy. Many methods have been proposed to deal with long-tailed data or noisy data, while…

Machine Learning · Computer Science 2023-05-30 Lefan Zhang , Zhang-Hao Tian , Wujun Zhou , Wei Wang

Long-tailed data is a special type of multi-class imbalanced data with a very large amount of minority/tail classes that have a very significant combined influence. Long-tailed learning aims to build high-performance models on datasets with…

Machine Learning · Computer Science 2024-08-02 Chongsheng Zhang , George Almpanidis , Gaojuan Fan , Binquan Deng , Yanbo Zhang , Ji Liu , Aouaidjia Kamel , Paolo Soda , João Gama

Heavy-tailed distributions are frequently used to enhance the robustness of regression and classification methods to outliers in output space. Often, however, we are confronted with "outliers" in input space, which are isolated observations…

Machine Learning · Statistics 2010-06-24 Fabian L. Wauthier , Michael I. Jordan

This paper develops a new model and estimation procedure for panel data that allows us to identify heterogeneous structural breaks. We model individual heterogeneity using a grouped pattern. For each group, we allow common structural breaks…

Econometrics · Economics 2018-11-27 Ryo Okui , Wendun Wang

High-dimensional linear regression is a fundamental tool in modern statistics, particularly when the number of predictors exceeds the sample size. The classical Lasso, which relies on the squared loss, performs well under Gaussian noise…

Methodology · Statistics 2025-06-10 The Tien Mai

Data collected from the real world typically exhibit long-tailed distributions, where frequent classes contain abundant data while rare ones have only a limited number of samples. While existing supervised learning approaches have been…

Computer Vision and Pattern Recognition · Computer Science 2023-09-18 Ci-Siang Lin , Min-Hung Chen , Yu-Chiang Frank Wang

High-dimensional regression often suffers from heavy-tailed noise and outliers, which can severely undermine the reliability of least-squares based methods. To improve robustness, we adopt a non-smooth Wilcoxon score based rank objective…

Machine Learning · Statistics 2026-01-29 Meixia Lin , Meijiao Shi , Yunhai Xiao , Qian Zhang

This article introduces lassopack, a suite of programs for regularized regression in Stata. lassopack implements lasso, square-root lasso, elastic net, ridge regression, adaptive lasso and post-estimation OLS. The methods are suitable for…

Econometrics · Economics 2019-01-17 Achim Ahrens , Christian B. Hansen , Mark E. Schaffer

Structured sparsity has recently emerged in statistics, machine learning and signal processing as a promising paradigm for learning in high-dimensional settings. All existing methods for learning under the assumption of structured sparsity…

Machine Learning · Statistics 2015-09-16 Nino Shervashidze , Francis Bach

We consider the fitting of heavy tailed data and distribution with a special attention to distributions with a non--standard shape in the "body" of the distribution. To this end we consider a dense class of heavy tailed distributions…

Statistics Theory · Mathematics 2017-05-15 Mogens Bladt , Leonardo Rojas-Nandayapa

Unraveling the reasons behind the remarkable success and exceptional generalization capabilities of deep neural networks presents a formidable challenge. Recent insights from random matrix theory, specifically those concerning the spectral…

Machine Learning · Statistics 2023-04-10 Xuanzhe Xiao , Zeng Li , Chuanlong Xie , Fengwei Zhou

We present a federated learning framework that is designed to robustly deliver good predictive performance across individual clients with heterogeneous data. The proposed approach hinges upon a superquantile-based learning objective that…

Machine Learning · Computer Science 2023-08-04 Krishna Pillutla , Yassine Laguel , Jérôme Malick , Zaid Harchaoui

We propose robust sparse reduced rank regression for analyzing large and complex high-dimensional data with heavy-tailed random noise. The proposed method is based on a convex relaxation of a rank- and sparsity-constrained non-convex…

Machine Learning · Statistics 2019-04-16 Kean Ming Tan , Qiang Sun , Daniela Witten

A regularized risk minimization procedure for regression function estimation is introduced that achieves near optimal accuracy and confidence under general conditions, including heavy-tailed predictor and response variables. The procedure…

Statistics Theory · Mathematics 2017-11-30 Gábor Lugosi , Shahar Mendelson
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