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Combined inference for heterogeneous high-dimensional data is critical in modern biology, where clinical and various kinds of molecular data may be available from a single study. Classical genetic association studies regress a single…

应用统计 · 统计学 2017-03-22 Hélène Ruffieux , Anthony C. Davison , Jörg Hager , Irina Irincheeva

Fulfilling the promise of precision medicine requires accurately and precisely classifying disease states. For cancer, this includes prediction of survival time from a surfeit of covariates. Such data presents an opportunity for improved…

应用统计 · 统计学 2017-06-22 Shannon R. McCurdy , Annette Molinaro , Lior Pachter

Stability selection represents an attractive approach to identify sparse sets of features jointly associated with an outcome in high-dimensional contexts. We introduce an automated calibration procedure via maximisation of an in-house…

统计方法学 · 统计学 2023-10-24 Barbara Bodinier , Sarah Filippi , Therese Haugdahl Nost , Julien Chiquet , Marc Chadeau-Hyam

High-dimensional biomedical studies require models that are simultaneously accurate, sparse, and interpretable, yet exact best subset selection for generalized linear models is computationally intractable. We develop a scalable method that…

统计方法学 · 统计学 2026-03-24 Anant Mathur , Benoit Liquet , Samuel Muller , Sarat Moka

Cellwise contamination remains a challenging problem for data scientists, particularly in research fields that require the selection of sparse features. Traditional robust methods may not be feasible nor efficient in dealing with such…

统计方法学 · 统计学 2024-03-04 Peng Su , Garth Tarr , Samuel Muller , Suojin Wang

Penalized variable selection for high dimensional longitudinal data has received much attention as accounting for the correlation among repeated measurements and providing additional and essential information for improved identification and…

统计方法学 · 统计学 2021-07-20 Fei Zhou , Xi Lu , Jie Ren , Kun Fan , Shuangge Ma , Cen Wu

Incomplete multi-view clustering, which aims to solve the clustering problem on the incomplete multi-view data with partial view missing, has received more and more attention in recent years. Although numerous methods have been developed,…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Chengliang Liu , Zhihao Wu , Jie Wen , Chao Huang , Yong Xu

Sparsity promoting norms are frequently used in high dimensional regression. A limitation of such Lasso-type estimators is that the optimal regularization parameter depends on the unknown noise level. Estimators such as the concomitant…

机器学习 · 统计学 2020-09-04 Quentin Bertrand , Mathurin Massias , Alexandre Gramfort , Joseph Salmon

In genetical genomics studies, it is important to jointly analyze gene expression data and genetic variants in exploring their associations with complex traits, where the dimensionality of gene expressions and genetic variants can both be…

统计方法学 · 统计学 2014-04-15 Wei Lin , Rui Feng , Hongzhe Li

This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

统计计算 · 统计学 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

Inference for high-dimensional logistic regression models using penalized methods has been a challenging research problem. As an illustration, a major difficulty is the significant bias of the Lasso estimator, which limits its direct…

统计方法学 · 统计学 2024-10-29 Yuming Zhang , Stéphane Guerrier , Runze Li

We introduce the localized Lasso, which is suited for learning models that are both interpretable and have a high predictive power in problems with high dimensionality $d$ and small sample size $n$. More specifically, we consider a function…

机器学习 · 统计学 2016-10-17 Makoto Yamada , Koh Takeuchi , Tomoharu Iwata , John Shawe-Taylor , Samuel Kaski

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

机器学习 · 统计学 2022-05-04 Thomas Lartigue , Sach Mukherjee

Important tasks in the study of genomic data include the identification of groups of similar cells (for example by clustering), and visualisation of data summaries (for example by dimensional reduction). In this paper, we develop a novel…

统计方法学 · 统计学 2024-10-15 Thomas E. Bartlett , Swati Chandna , Sandipan Roy

We study the theoretical properties of the fused lasso procedure originally proposed by \cite{tibshirani2005sparsity} in the context of a linear regression model in which the regression coefficient are totally ordered and assumed to be…

统计理论 · 数学 2023-06-28 Fan Wang , Oscar Hernan Madrid Padilla , Yi Yu , Alessandro Rinaldo

Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

统计方法学 · 统计学 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

We propose a new algorithm for recovery of sparse signals from their compressively sensed samples. The proposed algorithm benefits from the strategy of gradual movement to estimate the positions of non-zero samples of sparse signal. We…

信息论 · 计算机科学 2012-04-04 Seyed Hossein Hosseini , Mahrokh G. Shayesteh

In this paper, we review state-of-the-art methods for feature selection in statistics with an application-oriented eye. Indeed, sparsity is a valuable property and the profusion of research on the topic might have provided little guidance…

统计方法学 · 统计学 2021-11-08 Dimitris Bertsimas , Jean Pauphilet , Bart Van Parys

We propose a distributed quadratic inference function framework to jointly estimate regression parameters from multiple potentially heterogeneous data sources with correlated vector outcomes. The primary goal of this joint integrative…

统计方法学 · 统计学 2022-07-28 Emily C. Hector , Peter X. -K. Song

In high dimensional regression, feature clustering by their effects on outcomes is often as important as feature selection. For that purpose, clustered Lasso and octagonal shrinkage and clustering algorithm for regression (OSCAR) are used…

机器学习 · 统计学 2020-06-17 Atsumori Takahashi , Shunichi Nomura