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Although the log-likelihood is widely used in model selection, the log-likelihood ratio has had few applications in this area. We develop a log-likelihood ratio based method for selecting regression models by focusing on the set of models…

Methodology · Statistics 2021-09-28 Min Tsao

An endeavor central to precision medicine is predictive biomarker discovery; they define patient subpopulations which stand to benefit most, or least, from a given treatment. The identification of these biomarkers is often the byproduct of…

Methodology · Statistics 2022-08-01 Philippe Boileau , Nina Ting Qi , Mark J. van der Laan , Sandrine Dudoit , Ning Leng

A variable group Y is assumed to depend upon R thematic variable groups X 1, >..., X R . We assume that components in Y depend linearly upon components in the Xr's. In this work, we propose a multiple covariance criterion which extends that…

Methodology · Statistics 2008-02-12 Xavier Bry , Thomas Verron , Pierre Cazes

In many modern machine learning applications, the outcome is expensive or time-consuming to collect while the predictor information is easy to obtain. Semi-supervised learning (SSL) aims at utilizing large amounts of `unlabeled' data along…

Methodology · Statistics 2017-11-16 Jessica Gronsbell , Tianxi Cai

Common tasks encountered in epidemiology, including disease incidence estimation and causal inference, rely on predictive modeling. Constructing a predictive model can be thought of as learning a prediction function, i.e., a function that…

Methodology · Statistics 2024-08-20 Rachael V. Phillips , Mark J. van der Laan , Hana Lee , Susan Gruber

Ongoing advances in microbiome profiling have allowed unprecedented insights into the molecular activities of microbial communities. This has fueled a strong scientific interest in understanding the critical role the microbiome plays in…

Methodology · Statistics 2024-11-18 Satabdi Saha , Liangliang Zhang , Kim-Anh Do , Christine B. Peterson

The reduced-rank regression model is a popular model to deal with multivariate response and multiple predictors, and is widely used in biology, chemometrics, econometrics, engineering, and other fields. In the reduced-rank regression…

Methodology · Statistics 2022-07-05 Canhong Wen , Qin Wang , Yuan Jiang

The estimation problem in a high regression model with structured sparsity is investigated. An algorithm using a two steps block thresholding procedure called GR-LOL is provided. Convergence rates are produced: they depend on simple…

Statistics Theory · Mathematics 2012-07-10 Mathilde Mougeot , Dominique Picard , Karine Tribouley

Statistical approaches that successfully combine multiple datasets are more powerful, efficient, and scientifically informative than separate analyses. To address variation architectures correctly and comprehensively for high-dimensional…

Methodology · Statistics 2023-09-01 Jiuzhou Wang , Eric F. Lock

Varying coefficient regression is a flexible technique for modeling data where the coefficients are functions of some effect-modifying parameter, often time or location in a certain domain. While there are a number of methods for variable…

Methodology · Statistics 2014-11-24 Wesley Brooks , Jun Zhu , Zudi Lu

The vast availability of large scale, massive and big data has increased the computational cost of data analysis. One such case is the computational cost of the univariate filtering which typically involves fitting many univariate…

Methodology · Statistics 2020-02-13 M. Tsagris , A. Alenazi , S. Fafalios

Many diseases are considered to be closely related to the changes in the gut microbial community, including colorectal cancer (CRC), which is one of the most common cancers in the world. The diagnostic classification and etiological…

Quantitative Methods · Quantitative Biology 2023-10-19 Shan Tang , Shanjun Mao , Yangyang Chen , Falong Tan , Lihua Duan , Cong Pian , Xiangxiang Zeng

Logistic regression involving high-dimensional covariates is a practically important problem. Often the goal is variable selection, i.e., determining which few of the many covariates are associated with the binary response. Unfortunately,…

Computation · Statistics 2025-02-18 Yiqi Tang , Ryan Martin

Development and homeostasis in multicellular systems both require exquisite control over spatial molecular pattern formation and maintenance. Advances in spatially-resolved and high-throughput molecular imaging methods such as multiplexed…

Quantitative Methods · Quantitative Biology 2023-03-30 Alex J. Lee , Robert Cahill , Reza Abbasi-Asl

Deep Learning (DL) can predict biomarkers directly from digitized cancer histology in a weakly-supervised setting. Recently, the prediction of continuous biomarkers through regression-based DL has seen an increasing interest. Nonetheless,…

Image and Video Processing · Electrical Eng. & Systems 2024-03-07 Omar S. M. El Nahhas , Georg Wölflein , Marta Ligero , Tim Lenz , Marko van Treeck , Firas Khader , Daniel Truhn , Jakob Nikolas Kather

Conventional wisdom dictates that learning rate should be in the stable regime so that gradient-based algorithms don't blow up. This letter introduces a simple scenario where an unstably large learning rate scheme leads to a super fast…

Machine Learning · Computer Science 2021-09-08 Samet Oymak

Bayesian synthetic likelihood (BSL) is a popular method for estimating the parameter posterior distribution for complex statistical models and stochastic processes that possess a computationally intractable likelihood function. Instead of…

Computation · Statistics 2019-07-26 Ziwen An , Leah F South , Christopher Drovandi

Large Language Models (LLMs) offer a promising avenue for scientific discovery, yet their application to symbolic regression is often constrained by inefficient search strategies and coarse feedback signals. Current methods typically guide…

Machine Learning · Computer Science 2026-05-29 Evgeny S. Saveliev , Samuel Holt , Nabeel Seedat , David L. Bentley , Jim Weatherall , Mihaela van der Schaar

Recently computer-aided diagnosis has demonstrated promising performance, effectively alleviating the workload of clinicians. However, the inherent sample imbalance among different diseases leads algorithms biased to the majority…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Li Pan , Yupei Zhang , Qiushi Yang , Tan Li , Zhen Chen

Significant advances in biotechnology have allowed for simultaneous measurement of molecular data points across multiple genomic and transcriptomic levels from a single tumor/cancer sample. This has motivated systematic approaches to…

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