The group exponential lasso for bi-level variable selection

Biometrics
Patrick Breheny

Abstract

In many applications, covariates possess a grouping structure that can be incorporated into the analysis to select important groups as well as important members of those groups. One important example arises in genetic association studies, where genes may have several variants capable of contributing to disease. An ideal penalized regression approach would select variables by balancing both the direct evidence of a feature's importance as well as the indirect evidence offered by the grouping structure. This work proposes a new approach we call the group exponential lasso (GEL) which features a decay parameter controlling the degree to which feature selection is coupled together within groups. We demonstrate that the GEL has a number of statistical and computational advantages over previously proposed group penalties such as the group lasso, group bridge, and composite MCP. Finally, we apply these methods to the problem of detecting rare variants in a genetic association study.

References

Dec 29, 2009·Biometrika·Jian HuangCun-Hui Zhang
Jul 20, 2010·Statistics and Its Interface·Patrick Breheny, Jian Huang
Oct 14, 2010·Nature Reviews. Genetics·Vikas BansalNicholas J Schork
Oct 29, 2010·Nature·Gonçalo R AbecasisGil A McVean
Mar 1, 2012·BMC Proceedings·Laura AlmasyJohn Blangero
Jan 1, 2012·Statistical Science : a Review Journal of the Institute of Mathematical Statistics·Jian HuangShuangge Ma

❮ Previous
Next ❯

Citations

Jun 22, 2016·Biostatistics·Ting-Huei Chen, Wei Sun
Jul 18, 2019·Statistics in Medicine·Elizabeth C Chase, Philip S Boonstra
Sep 17, 2019·Statistical Applications in Genetics and Molecular Biology·Hailin HuangHua Liang
Dec 31, 2019·Biostatistics·Magnus M MünchMark A Van De Wiel
Apr 3, 2020·Scientific Reports·Hui ZhangYong Liang
Mar 23, 2017·Human Brain Mapping·Marie ForestCelia M T Greenwood
Jan 1, 2021·Bioinformatics·Milad Mokhtaridoost, Mehmet Gönen
Feb 19, 2021·Alzheimer's & Dementia : Translational Research & Clinical Interventions·Vijay R VarmaAmber Watts
Mar 11, 2017·The Annals of Applied Statistics·Kun ChenKung-Sik Chan
Sep 26, 2017·Computational Statistics & Data Analysis·Himel Mallick, Nengjun Yi

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Statistics and Its Interface
Patrick Breheny, Jian Huang
Statistical Science : a Review Journal of the Institute of Mathematical Statistics
Jian HuangShuangge Ma
© 2021 Meta ULC. All rights reserved