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In the field of statistical learning and data analysis, estimating precision matrices (i.e., the inverse of covariance matrices) is a critical task, particularly for understanding dependency structures among variables. However, traditional…

统计方法学 · 统计学 2026-05-15 Zhongfeng Qin , Hao Xu , Wenhao Cui , Wan Tian

The estimation of a precision matrix is a crucial problem in various research fields, particularly when working with high dimensional data. In such settings, the most common approach is to use the penalized maximum likelihood. The…

统计方法学 · 统计学 2025-01-10 Vahe Avagyan

Conformal Prediction offers a powerful framework for quantifying uncertainty in machine learning models, enabling the construction of prediction sets with finite-sample validity guarantees. While easily adaptable to non-probabilistic…

机器学习 · 统计学 2024-11-27 Eshant English , Christoph Lippert

Sparse linear models are one of several core tools for interpretable machine learning, a field of emerging importance as predictive models permeate decision-making in many domains. Unfortunately, sparse linear models are far less flexible…

机器学习 · 统计学 2024-01-03 Ryan Thompson , Amir Dezfouli , Robert Kohn

Conformal Prediction (CP) stands out as a robust framework for uncertainty quantification, which is crucial for ensuring the reliability of predictions. However, common CP methods heavily rely on data exchangeability, a condition often…

Conformal predictions make it possible to define reliable and robust learning algorithms. But they are essentially a method for evaluating whether an algorithm is good enough to be used in practice. To define a reliable learning framework…

Conformal prediction provides a principled framework for uncertainty quantification with finite-sample coverage guarantees. While recent work has extended conformal prediction to online and sequential settings, existing methods typically…

机器学习 · 统计学 2026-05-14 Eduardo Ochoa Rivera , Ambuj Tewari

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…

计量经济学 · 经济学 2019-01-17 Achim Ahrens , Christian B. Hansen , Mark E. Schaffer

The least absolute shrinkage and selection operator (Lasso) is a popular method for high-dimensional statistics. However, it is known that the Lasso often has estimation bias and prediction error. To address such disadvantages, many…

统计方法学 · 统计学 2026-04-29 Guo Liu

Topological correctness plays a critical role in many image segmentation tasks, yet most networks are trained using pixel-wise loss functions, such as Dice, neglecting topological accuracy. Existing topology-aware methods often lack robust…

计算机视觉与模式识别 · 计算机科学 2025-04-21 Laurin Lux , Alexander H. Berger , Alexander Weers , Nico Stucki , Daniel Rueckert , Ulrich Bauer , Johannes C. Paetzold

Conformal prediction is a generic methodology for finite-sample valid distribution-free prediction. This technique has garnered a lot of attention in the literature partly because it can be applied with any machine learning algorithm that…

统计方法学 · 统计学 2024-04-12 Yachong Yang , Arun Kumar Kuchibhotla

Conformal prediction provides a pivotal and flexible technique for uncertainty quantification by constructing prediction sets with a predefined coverage rate. Many online conformal prediction methods have been developed to address data…

机器学习 · 统计学 2026-02-25 Dongjian Hu , Junxi Wu , Shu-Tao Xia , Changliang Zou

In many high dimensional classification or regression problems set in a biological context, the complete identification of the set of informative features is often as important as predictive accuracy, since this can provide mechanistic…

机器学习 · 计算机科学 2020-03-02 Yuxin Sun , Benny Chain , Samuel Kaski , John Shawe-Taylor

We consider the problem of identifying significant predictors in large data bases, where the response variable depends on the linear combination of explanatory variables through an unknown link function, corrupted with the noise from the…

统计方法学 · 统计学 2019-11-19 Wojciech Rejchel , Malgorzata Bogdan

When a series of (related) linear models has to be estimated it is often appropriate to combine the different data-sets to construct more efficient estimators. We use $\ell_1$-penalized estimators like the Lasso or the Adaptive Lasso which…

统计理论 · 数学 2007-12-18 Lukas Meier , Peter Bühlmann

Least absolute shrinkage and selection operator (Lasso), a popular method for high-dimensional regression, is now used widely for estimating high-dimensional time series models such as the vector autoregression (VAR). Selecting its tuning…

统计方法学 · 统计学 2025-12-16 Tathagata Sadhukhan , Ines Wilms , Stephan Smeekes , Sumanta Basu

Additive isotonic regression attempts to determine the relationship between a multi-dimensional observation variable and a response, under the constraint that the estimate is the additive sum of univariate component effects that are…

统计方法学 · 统计学 2010-06-16 Zhou Fang , Nicolai Meinshausen

We develop a fully automatic Bayesian Lasso via variational inference. This is a scalable procedure for approximating the posterior distribution. Special attention is driven to the knot selection in regression spline. In order to carry…

统计方法学 · 统计学 2021-03-01 Larissa Alves , Ronaldo Dias , Helio S. Migon

Conformal prediction (CP) is an important tool for distribution-free predictive uncertainty quantification. Yet, a major challenge is to balance computational efficiency and prediction accuracy, particularly for multiple predictions. We…

机器学习 · 统计学 2025-04-17 Kiljae Lee , Yuan Zhang

Conformal prediction equips machine learning models with a reasonable notion of uncertainty quantification without making strong distributional assumptions. It wraps around any prediction model and converts point predictions into set…

机器学习 · 统计学 2025-10-21 Matteo Gasparin , Aaditya Ramdas