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The problem of testing the equality of the generating processes of two categorical time series is addressed in this work. To this aim, we propose three tests relying on a dissimilarity measure between categorical processes. Particular…

Methodology · Statistics 2023-05-02 Ángel López-Oriona , José Antonio Vilar Fernández , Pierpaolo D'Urso

Automatic verification of concurrent programs faces state explosion due to the exponential possible interleavings of its sequential components coupled with large or infinite state spaces. An alternative is deductive verification, where…

Programming Languages · Computer Science 2024-01-01 Yuan Xia , Jyotirmoy V. Deshmukh , Mukund Raghothaman , Srivatsan Ravi

In multiple classification, one aims to determine whether a testing sequence is generated from the same distribution as one of the M training sequences or not. Unlike most of existing studies that focus on discrete-valued sequences with…

Machine Learning · Statistics 2024-10-30 Lina Zhu , Lin Zhou

Context: Differential testing is a useful approach that uses different implementations of the same algorithms and compares the results for software testing. In recent years, this approach was successfully used for test campaigns of deep…

Software Engineering · Computer Science 2022-07-26 Steffen Herbold , Steffen Tunkel

One of the basic questions of phylogenomics is how gene function evolves, whether among species or inside gene families. In this chapter, we provide a brief overview of the problems associated with defining gene function in a manner which…

Populations and Evolution · Quantitative Biology 2019-10-08 Marc Robinson-Rechavi

Functional data clustering is to identify heterogeneous morphological patterns in the continuous functions underlying the discrete measurements/observations. Application of functional data clustering has appeared in many publications across…

Methodology · Statistics 2022-10-04 Mimi Zhang , Andrew Parnell

Model checking plays an important role in linear regression as model misspecification seriously affects the validity and efficiency of regression analysis. In practice, model checking is often performed by subjectively evaluating the plot…

Statistics Theory · Mathematics 2019-11-19 Rok Blagus , Jakob Peterlin , Janez Stare

Ultra high-throughput sequencing of transcriptomes (RNA-Seq) is a widely used method for quantifying gene expression levels due to its low cost, high accuracy and wide dynamic range for detection. However, the nature of RNA-Seq makes it…

Methodology · Statistics 2016-08-30 Hui Jiang , Tianyu Zhan

Hierarchical models are a powerful tool for high-throughput data with a small to moderate number of replicates, as they allow sharing information across units of information, for example, genes. We propose two such models and show its…

Applications · Statistics 2009-10-09 David Rossell

A key task of data science is to identify relevant features linked to certain output variables that are supposed to be modeled or predicted. To obtain a small but meaningful model, it is important to find stochastically independent…

Methodology · Statistics 2021-12-23 Tim Breitenbach , Lauritz Rasbach , Chunguang Liang , Patrick Jahnke

In this article, we study the problem of high-dimensional conditional independence testing, a key building block in statistics and machine learning. We propose an inferential procedure based on double generative adversarial networks (GANs).…

Machine Learning · Statistics 2021-11-08 Chengchun Shi , Tianlin Xu , Wicher Bergsma , Lexin Li

High-dimensional group inference is an essential part of statistical methods for analysing complex data sets, including hierarchical testing, tests of interaction, detection of heterogeneous treatment effects and inference for local…

Methodology · Statistics 2020-12-01 Zijian Guo , Claude Renaux , Peter Bühlmann , T. Tony Cai

In recent times, functional data analysis (FDA) has been successfully applied in the field of high dimensional data classification. In this paper, we present a novel classification framework using functional data and classwise Principal…

Machine Learning · Statistics 2021-06-29 Avishek Chatterjee , Satyaki Mazumder , Koel Das

Modern high-throughput biomedical devices routinely produce data on a large scale, and the analysis of high-dimensional datasets has become commonplace in biomedical studies. However, given thousands or tens of thousands of measured…

Methodology · Statistics 2022-02-28 Vladimir Vutov , Thorsten Dickhaus

A new categorical framework is provided for dealing with multiple arguments in a programming language with effects, for example in a language with imperative features. Like related frameworks (Monads, Arrows, Freyd categories), we…

Category Theory · Mathematics 2007-07-11 Jean-Guillaume Dumas , Dominique Duval , Jean-Claude Reynaud

Machine Learning methods have of late made significant efforts to solving multidisciplinary problems in the field of cancer classification using microarray gene expression data. Feature subset selection methods can play an important role in…

Computational Engineering, Finance, and Science · Computer Science 2013-03-04 G. Prat , Ll. Belanche

The "large p, small n" paradigm arises in microarray studies, where expression levels of thousands of genes are monitored for a small number of subjects. There has been an increasing demand for study of asymptotics for the various…

Statistics Theory · Mathematics 2007-06-13 Michael R. Kosorok , Shuangge Ma

Generative models are known to be difficult to assess. Recent works, especially on generative adversarial networks (GANs), produce good visual samples of varied categories of images. However, the validation of their quality is still…

Machine Learning · Computer Science 2019-09-25 Timothée Lesort , Andrei Stoain , Jean-François Goudou , David Filliat

Recent studies on fairness have shown that Facial Expression Recognition (FER) models exhibit biases toward certain visually perceived demographic groups. However, the limited availability of human-annotated demographic labels in public FER…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Tangzheng Lian , Oya Celiktutan

Group testing is a well known search problem that consists in detecting the defective members of a set of objects O by performing tests on properly chosen subsets (pools) of the given set O. In classical group testing the goal is to find…

Data Structures and Algorithms · Computer Science 2016-06-13 Annalisa De Bonis
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