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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…

Applications · Statistics 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…

Applications · Statistics 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…

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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Methodology · Statistics 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,…

Computer Vision and Pattern Recognition · Computer Science 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…

Machine Learning · Statistics 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…

Methodology · Statistics 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…

Computation · Statistics 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…

Methodology · Statistics 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…

Machine Learning · Statistics 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…

Machine Learning · Statistics 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…

Methodology · Statistics 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…

Statistics Theory · Mathematics 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)…

Methodology · Statistics 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…

Information Theory · Computer Science 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…

Methodology · Statistics 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…

Methodology · Statistics 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…

Machine Learning · Statistics 2020-06-17 Atsumori Takahashi , Shunichi Nomura