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Revealing relationships between genes and disease phenotypes is a critical problem in biomedical studies. This problem has been challenged by the heterogeneity of diseases. Patients of a perceived same disease may form multiple subgroups,…

Methodology · Statistics 2022-11-30 Yifan Sun , Ziye Luo , Xinyan Fan

We study a norm for structured sparsity which leads to sparse linear predictors whose supports are unions of prede ned overlapping groups of variables. We call the obtained formulation latent group Lasso, since it is based on applying the…

Machine Learning · Statistics 2011-10-05 Guillaume Obozinski , Laurent Jacob , Jean-Philippe Vert

Advances in data collecting technologies in genomics have significantly increased the need for tools designed to study the genetic basis of many diseases. Effective statistical methods should excel in both prediction accuracy and biomarker…

Methodology · Statistics 2025-11-13 Anthony-Alexander Christidis , Stefan Van Aelst , Ruben Zamar

The problem of selecting the most useful features from a great many (eg, thousands) of candidates arises in many areas of modern sciences. An interesting problem from genomic research is that, from thousands of genes that are active…

Applications · Statistics 2018-05-15 Longhai Li , Weixin Yao

Objective: Social-environmental data obtained from the U.S. Census is an important resource for understanding health disparities, but rarely is the full dataset utilized for analysis. A barrier to incorporating the full data is a lack of…

Applications · Statistics 2020-09-02 Elizabeth Handorf , Yinuo Yin , Michael Slifker , Shannon Lynch

The prediction plays the important role in detecting efficient protection and therapy of cancer. The prediction of mutations in gene needs a diagnostic and classification, which is based on the whole database (big dataset), to reach…

Machine Learning · Computer Science 2016-08-10 Ayad Ghany Ismaeel , Dina Yousif Mikhail

Simultaneous feature selection and non-linear function estimation is challenging in modeling, especially in high-dimensional settings where the number of variables exceeds the available sample size. In this article, we investigate the…

Machine Learning · Statistics 2026-01-05 Bin Luo , Susan Halabi

We present a new method for exploring cancer gene expression data based on tools from algebraic topology. Our method selects a small relevant subset from tens of thousands of genes while simultaneously identifying nontrivial higher order…

Genomics · Quantitative Biology 2014-10-15 Svetlana Lockwood , Bala Krishnamoorthy

Cancer is fundamentally a genetic disease characterized by genetic and epigenetic alterations that disrupt normal gene expression, leading to uncontrolled cell growth and metastasis. High-dimensional microarray datasets pose challenges for…

Quantitative Methods · Quantitative Biology 2025-06-03 Sulaiman khan , Muhammad Ahmad , Fida Ullah , Carlos Aguilar Ibañez , José Eduardo Valdez Rodriguez

In the field of big data analytics, the search for efficient subdata selection methods that enable robust statistical inferences with minimal computational resources is of high importance. A procedure prior to subdata selection could…

Methodology · Statistics 2024-11-12 Vasilis Chasiotis , Lin Wang , Dimitris Karlis

Boolean tensor decomposition approximates data of multi-way binary relationships as product of interpretable low-rank binary factors, following the rules of Boolean algebra. Here, we present its first probabilistic treatment. We facilitate…

Machine Learning · Statistics 2018-05-15 Tammo Rukat , Chris C. Holmes , Christopher Yau

Data scarcity and class imbalance are two fundamental challenges in many machine learning applications to healthcare. Breast cancer classification in mammography exemplifies these challenges, with a malignancy rate of around 0.5% in a…

Image and Video Processing · Electrical Eng. & Systems 2020-06-02 Eric Wu , Kevin Wu , William Lotter

Motivation: The high dimensionality of genomic data calls for the development of specific classification methodologies, especially to prevent over-optimistic predictions. This challenge can be tackled by compression and variable selection,…

Methodology · Statistics 2021-04-10 G. Durif , L. Modolo , J. Michaelsson , J. E. Mold , S. Lambert-Lacroix , F. Picard

In this paper we propose a classification scheme to isolate truly benign tumors from those that initially start off as benign but subsequently show metastases. A non-parametric artificial neural network methodology has been chosen because…

General Mathematics · Mathematics 2007-05-23 M. Khoshnevisan , Sukanto Bhattacharya , Florentin Smarandache

Lung cancer is a condition where there is abnormal growth of malignant cells that spread in an uncontrollable fashion in the lungs. Some common treatment strategies are surgery, chemotherapy, and radiation which aren't the best options due…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Ann Rachel , Pranav M Pawar , Mithun Mukharjee , Raja M , Tojo Mathew

The use of prior information in the linear regression is well known to provide more efficient estimators of regression coefficients. The methods of non-stochastic restricted regression estimation proposed by Theil and Goldberger (1961) are…

Applications · Statistics 2017-10-12 Yetkin Tuaç , Olcay Arslan

We consider selection of random predictors for high-dimensional regression problem with binary response for a general loss function. Important special case is when the binary model is semiparametric and the response function is misspecified…

Statistics Theory · Mathematics 2020-02-19 Mariusz Kubkowski , Jan Mielniczuk

Local polynomial regression of order at least one often performs poorly in regions of sparse data. Local constant regression is exceptional in this regard, though it is the least accurate method in general, especially at the boundaries of…

Methodology · Statistics 2024-06-18 Chunlei Ge , W. John Braun

The LASSO-Patternsearch algorithm is proposed to efficiently identify patterns of multiple dichotomous risk factors for outcomes of interest in demographic and genomic studies. The patterns considered are those that arise naturally from the…

Statistics Theory · Mathematics 2008-03-07 Weiliang Shi , Grace Wahba , Stephen Wright , Kristine Lee , Ronald Klein , Barbara Klein

Reliable classification of benign and malignant lesions in breast ultrasound images can provide an effective and relatively low cost method for early diagnosis of breast cancer. The accuracy of the diagnosis is however highly dependent on…

Image and Video Processing · Electrical Eng. & Systems 2021-02-24 Elham Yousef Kalaf , Ata Jodeiri , Seyed Kamaledin Setarehdan , Ng Wei Lin , Kartini Binti Rahman , Nur Aishah Taib , Sarinder Kaur Dhillon