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We consider estimation in a high-dimensional linear model with strongly correlated variables. We propose to cluster the variables first and do subsequent sparse estimation such as the Lasso for cluster-representatives or the group Lasso…

统计方法学 · 统计学 2015-01-14 Peter Bühlmann , Philipp Rütimann , Sara van de Geer , Cun-Hui Zhang

We consider (nonparametric) sparse (generalized) additive models (SpAM) for classification. The design of a SpAM classifier is based on minimizing the logistic loss with a sparse group Lasso/Slope-type penalties on the coefficients of…

统计理论 · 数学 2024-05-16 Felix Abramovich

In this paper, we consider the Group Lasso estimator of the covariance matrix of a stochastic process corrupted by an additive noise. We propose to estimate the covariance matrix in a high-dimensional setting under the assumption that the…

统计理论 · 数学 2011-10-26 Jérémie Bigot , Rolando Biscay , Jean-Michel Loubes , Lilian Muniz Alvarez

The Lasso has become a benchmark data analysis procedure, and numerous variants have been proposed in the literature. Although the Lasso formulations are stated so that overall prediction error is optimized, no full control over the…

Group bias in natural language processing tasks manifests as disparities in system error rates across texts authorized by different demographic groups, typically disadvantaging minority groups. Dataset balancing has been shown to be…

计算与语言 · 计算机科学 2022-05-17 Xudong Han , Timothy Baldwin , Trevor Cohn

Gradient boosting, a method of building additive ensembles from weak learners, has established itself as a practical and theoretically-motivated approach to approximate functions, especially using decision tree weak learners. Comparable…

机器学习 · 计算机科学 2026-03-26 Abhijit Chowdhary , Elizabeth Newman , Deepanshu Verma

Informative gradients are often lost in large batch updates. We propose a robust mechanism to reinforce the sparse components within a random batch of data points. A finite queue of online gradients is used to determine their expected…

机器学习 · 计算机科学 2024-04-29 Irfan Mohammad Al Hasib

We present a novel method for variable selection in regression models when covariates are measured with error. The iterative algorithm we propose, MEBoost, follows a path defined by estimating equations that correct for covariate…

统计计算 · 统计学 2017-10-26 Benjamin Brown , Timothy Weaver , Julian Wolfson

Reduced-rank regression recognises the possibility of a rank-deficient matrix of coefficients. We propose a novel Bayesian model for estimating the rank of the coefficient matrix, which obviates the need for post-processing steps and allows…

统计方法学 · 统计学 2024-02-14 Maria F. Pintado , Matteo Iacopini , Luca Rossini , Alexander Y. Shestopaloff

Bayesian Optimization is a popular tool for tuning algorithms in automatic machine learning (AutoML) systems. Current state-of-the-art methods leverage Random Forests or Gaussian processes to build a surrogate model that predicts algorithm…

机器学习 · 计算机科学 2021-01-08 Jeroen van Hoof , Joaquin Vanschoren

We develop a Bayesian methodology aimed at simultaneously estimating low-rank and row-sparse matrices in a high-dimensional multiple-response linear regression model. We consider a carefully devised shrinkage prior on the matrix of…

统计方法学 · 统计学 2019-04-10 Antik Chakraborty , Anirban Bhattacharya , Bani K. Mallick

Gradient boosting is a state-of-the-art prediction technique that sequentially produces a model in the form of linear combinations of simple predictors---typically decision trees---by solving an infinite-dimensional convex optimization…

统计理论 · 数学 2017-07-18 Gérard Biau , Benoît Cadre

We provide statistical guarantees for Bayesian variational boosting by proposing a novel small bandwidth Gaussian mixture variational family. We employ a functional version of Frank-Wolfe optimization as our variational algorithm and study…

机器学习 · 统计学 2020-10-23 Biraj Subhra Guha , Anirban Bhattacharya , Debdeep Pati

Several problems in statistics involve the combination of high-variance unbiased estimators with low-variance estimators that are only unbiased under strong assumptions. A notable example is the estimation of causal effects while combining…

统计方法学 · 统计学 2023-05-25 Michael Oberst , Alexander D'Amour , Minmin Chen , Yuyan Wang , David Sontag , Steve Yadlowsky

In regression problems where covariates can be naturally grouped, the group Lasso is an attractive method for variable selection since it respects the grouping structure in the data. We study the selection and estimation properties of the…

统计理论 · 数学 2010-11-30 Fengrong Wei , Jian Huang

Radiogenomics is an emerging field in cancer research that combines medical imaging data with genomic data to predict patients clinical outcomes. In this paper, we propose a multivariate sparse group lasso joint model to integrate imaging…

统计方法学 · 统计学 2022-06-06 Tiantian Zeng , Md Selim , Jie Zhang , Arnold Stromberg , Jin Chen , Chi Wang

The gradient boosting machine is a powerful ensemble-based machine learning method for solving regression problems. However, one of the difficulties of its using is a possible discontinuity of the regression function, which arises when…

机器学习 · 计算机科学 2020-06-22 Andrei V. Konstantinov , Lev V. Utkin

Gaussian mixture models are a popular tool for model-based clustering, and mixtures of factor analyzers are Gaussian mixture models having parsimonious factor covariance structure for mixture components. There are several recent extensions…

统计方法学 · 统计学 2023-06-29 Lucas Kock , Nadja Klein , David J. Nott

The estimation of static parameters in dynamical systems and control theory has been extensively studied, with significant progress made in estimating varying parameters in specific system types. Suppose, in the general case, we have data…

最优化与控制 · 数学 2025-07-10 Jamiree Harrison , Enoch Yeung

We propose and analyze an algorithmic framework for "bias bounties": events in which external participants are invited to propose improvements to a trained model, akin to bug bounty events in software and security. Our framework allows…

机器学习 · 计算机科学 2022-05-11 Ira Globus-Harris , Michael Kearns , Aaron Roth