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Batch effects are pervasive in biomedical studies. One approach to address the batch effects is repeatedly measuring a subset of samples in each batch. These remeasured samples are used to estimate and correct the batch effects. However,…

Methodology · Statistics 2023-11-07 Hanxuan Ye , Xianyang Zhang , Chen Wang , Ellen L. Goode , Jun Chen

Modelling a complex system is almost invariably a challenging task. The incorporation of experimental observations can be used to improve the quality of a model, and thus to obtain better predictions about the behavior of the corresponding…

Computational Physics · Physics 2015-11-24 Massimiliano Bonomi , Carlo Camilloni , Andrea Cavalli , Michele Vendruscolo

This work presents a statistically principled method for estimating the required number of instances in the experimental comparison of multiple algorithms on a given problem class of interest. This approach generalises earlier results by…

Methodology · Statistics 2019-08-06 Felipe Campelo , Elizabeth F. Wanner

For many tasks of data analysis, we may only have the information of the explanatory variable and the evaluation of the response values are quite expensive. While it is impractical or too costly to obtain the responses of all units, a…

Computation · Statistics 2023-04-07 Wei Zheng , Ting Tian , Xueqin Wang

Subsampling algorithms for various parametric regression models with massive data have been extensively investigated in recent years. However, all existing studies on subsampling heavily rely on clean massive data. In practical…

Statistics Theory · Mathematics 2025-06-11 Jiangshan Ju , Mingqiu Wang , Shengli Zhao

This paper proposes consistent estimators for transformation parameters in semiparametric models. The problem is to find the optimal transformation into the space of models with a predetermined regression structure like additive or…

Statistics Theory · Mathematics 2008-12-18 Oliver Linton , Stefan Sperlich , Ingrid Van Keilegom

Sub-sampling is a common and often effective method to deal with the computational challenges of large datasets. However, for most statistical models, there is no well-motivated approach for drawing a non-uniform subsample. We show that the…

Machine Learning · Statistics 2017-09-07 Daniel Ting , Eric Brochu

This is the first report, to our knowledge, on a systematic method for constructing a large scale kinetic metabolic model with incomplete information on kinetic parametersr, and its initial application to the modeling of central metabolism…

Molecular Networks · Quantitative Biology 2008-08-05 P. Ao , L. W. Lee , Me Lidstrom , L. Yin , X. M. Zhu

Sampling from distributions to find the one with the largest mean arises in a broad range of applications, and it can be mathematically modeled as a multi-armed bandit problem in which each distribution is associated with an arm. This paper…

Machine Learning · Statistics 2013-06-18 Kevin Jamieson , Matthew Malloy , Robert Nowak , Sebastien Bubeck

This work proposes a method to evaluate synthetic tabular data generated to augment small sample datasets. While data augmentation techniques can increase sample counts for machine learning applications, traditional validation approaches…

Machine Learning · Computer Science 2025-03-18 Javier Marin

Given a set of items $\mathcal{F}$ and a weight function $\mathtt{wt}: \mathcal{F} \mapsto (0,1)$, the problem of sampling seeks to sample an item proportional to its weight. Sampling is a fundamental problem in machine learning. The…

Data Structures and Algorithms · Computer Science 2020-10-27 Kuldeep S. Meel , Yash Pote , Sourav Chakraborty

We study the scaling properties of latent diffusion models (LDMs) with an emphasis on their sampling efficiency. While improved network architecture and inference algorithms have shown to effectively boost sampling efficiency of diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Kangfu Mei , Zhengzhong Tu , Mauricio Delbracio , Hossein Talebi , Vishal M. Patel , Peyman Milanfar

Objectives: Estimation of areas under receiver operating characteristic curves (AUCs) and their differences is a key task in diagnostic studies. We aimed to derive, evaluate, and implement simple sample size formulas for such studies with a…

Methodology · Statistics 2022-08-03 Di Shu , Guangyong Zou

Ideally, a meta-analysis will summarize data from several unbiased studies. Here we consider the less than ideal situation in which contributing studies may be compromised by measurement error. Measurement error affects every study design,…

Missing data is a common issue in many biomedical studies. Under a paired design, some subjects may have missing values in either one or both of the conditions due to loss of follow-up, insufficient biological samples, etc. Such partially…

Mixed outcome endpoints that combine multiple continuous and discrete components to form co-primary, multiple primary or composite endpoints are often employed as primary outcome measures in clinical trials. There are many advantages to…

Methodology · Statistics 2019-12-12 Martina McMenamin , Jessica K. Barrett , Anna Berglind , James M. S. Wason

Accurately determining and classifying the structure of complex networks is the focus of much current research. One class of network of particular interest are metabolic pathways, which have previously been studied from a graph theoretical…

Mathematical Physics · Physics 2012-10-10 Henry Dorrian , Kieran Smallbone , Jon borresen

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

Sample overlap is a common issue in evidence synthesis in the field of medical research, particularly when integrating findings from observational studies utilizing existing databases such as registries. Due to the general inaccessibility…

Methodology · Statistics 2026-02-26 Zhentian Zhang , Tim Friede , Tim Mathes

Complex biological processes are usually experimented along time among a collection of individuals. Longitudinal data are then available and the statistical challenge is to better understand the underlying biological mechanisms. The…

Statistics Theory · Mathematics 2015-06-11 Pierre Barbillon , Célia Barthélémy , Adeline Samson