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Although much progress has been made in classification with high-dimensional features \citep{Fan_Fan:2008, JGuo:2010, CaiSun:2014, PRXu:2014}, classification with ultrahigh-dimensional features, wherein the features much outnumber the…

Machine Learning · Statistics 2016-11-14 Yanming Li , Hyokyoung Hong , Jian Kang , Kevin He , Ji Zhu , Yi Li

Precision medicine is an approach for disease treatment that defines treatment strategies based on the individual characteristics of the patients. Motivated by an open problem in cancer genomics, we develop a novel model that flexibly…

Methodology · Statistics 2023-09-04 Matteo Pedone , Raffaele Argiento , Francesco C. Stingo

Genome data are crucial in modern medicine, offering significant potential for diagnosis and treatment. Thanks to technological advancements, many millions of healthy and diseased genomes have already been sequenced; however, obtaining the…

Genomics · Quantitative Biology 2024-06-18 Teddy Lazebnik , Liron Simon-Keren

Automatic brain tumor segmentation from Magnetic Resonance Imaging (MRI) data plays an important role in assessing tumor response to therapy and personalized treatment stratification.Manual segmentation is tedious and…

Image and Video Processing · Electrical Eng. & Systems 2021-11-29 Hadas Ben-Atya , Ori Rajchert , Liran Goshen , Moti Freiman

Personalized medicine, a paradigm of medicine tailored to a patient's characteristics, is an increasingly attractive field in health care. An important goal of personalized medicine is to identify a subgroup of patients, based on baseline…

Machine Learning · Statistics 2023-01-31 Hengrui Cai , Wenbin Lu , Rachel Marceau West , Devan V. Mehrotra , Lingkang Huang

Applications of high-dimensional regression often involve multiple sources or types of covariates. We propose methodology for this setting, emphasizing the "wide data" regime with large total dimensionality p and sample size n<<p. We focus…

Precision medicine is a paradigm shift in healthcare relying heavily on genomics data. However, the complexity of biological interactions, the large number of genes as well as the lack of comparisons on the analysis of data, remain a…

Targeted therapies on the basis of genomic aberrations analysis of the tumor have shown promising results in cancer prognosis and treatment. Regardless of tumor type, trials that match patients to targeted therapies for their particular…

Applications · Statistics 2018-04-18 Yanxun Xu , Peter Mueller , Apostolia M Tsimberidou , Donald Berry

Precision medicine involves developing individualized treatment regimes (ITRs) which allow for treatment decisions to be tailored to patient characteristics. Naturally, the identification of the optimal regime, that is, the rule which…

Methodology · Statistics 2025-09-30 Misha Dolmatov , Erica E. M. Moodie , David A. Stephens , Dipankar Bandyopadhyay

Data augmentation refers to a group of techniques whose goal is to battle limited amount of available data to improve model generalization and push sample distribution toward the true distribution. While different augmentation strategies…

Quantitative Methods · Quantitative Biology 2020-06-03 Ruqian Hao , Khashayar Namdar , Lin Liu , Masoom A. Haider , Farzad Khalvati

We exploit Surface-Enhanced Raman Scattering (SERS) to investigate aqueous droplets of genomic DNA deposited onto silver-coated silicon nanowires and we show that it is possible to efficiently discriminate between spectra of tumoral and…

Identifying relationships between molecular variations and their clinical presentations has been challenged by the heterogeneous causes of a disease. It is imperative to unveil the relationship between the high dimensional molecular…

Methodology · Statistics 2021-09-02 Wennan Chang , Changlin Wan , Yong Zang , Chi Zhang , Sha Cao

High-dimensional data are commonly seen in modern statistical applications, variable selection methods play indispensable roles in identifying the critical features for scientific discoveries. Traditional best subset selection methods are…

Methodology · Statistics 2022-12-29 Tianzhou Ma , Hongjie Ke , Zhao Ren

Predicting the response of a specific cancer to a therapy is a major goal in modern oncology that should ultimately lead to a personalised treatment. High-throughput screenings of potentially active compounds against a panel of genomically…

Variable selection is a difficult problem that is particularly challenging in the analysis of high-dimensional genomic data. Here, we introduce the CAR score, a novel and highly effective criterion for variable ranking in linear regression…

Methodology · Statistics 2011-07-20 Verena Zuber , Korbinian Strimmer

We develop a methodology to create data-driven predictive digital twins for optimal risk-aware clinical decision-making. We illustrate the methodology as an enabler for an anticipatory personalized treatment that accounts for uncertainties…

Computational Engineering, Finance, and Science · Computer Science 2024-06-18 Anirban Chaudhuri , Graham Pash , David A. Hormuth , Guillermo Lorenzo , Michael Kapteyn , Chengyue Wu , Ernesto A. B. F. Lima , Thomas E. Yankeelov , Karen Willcox

With a large number of baseline covariates, we propose a new semi-parametric modeling strategy for heterogeneous treatment effect estimation and individualized treatment selection, which are two major goals in personalized medicine. We…

Methodology · Statistics 2021-08-12 Wenchuan Guo , Xiao-hua Zhou , Shujie Ma

In this article, we propose a general nonlinear sufficient dimension reduction (SDR) framework when both the predictor and response lie in some general metric spaces. We construct reproducing kernel Hilbert spaces whose kernels are fully…

Statistics Theory · Mathematics 2022-06-24 Joni Virta , Kuang-Yao Lee , Lexin Li

In statistical learning, high covariate dimensionality poses challenges for robust prediction and inference. To address this challenge, supervised dimension reduction is often performed, where dependence on the outcome is maximized for a…

Methodology · Statistics 2018-08-24 Patrick Staples , Min Ouyang , Robert F. Dougherty , Gregory A. Ryslik , Paul Dagum

Linear discrimination, from the point of view of numerical linear algebra, can be treated as solving an ill-posed system of linear equations. In order to generate a solution that is robust in the presence of noise, these problems require…

Genomics · Quantitative Biology 2007-05-23 Erik Andries , Thomas Hagstrom , Susan R. Atlas , Cheryl Willman