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In the context of personalized medicine, text mining methods pose an interesting option for identifying disease-gene associations, as they can be used to generate novel links between diseases and genes which may complement knowledge from…

Computation and Language · Computer Science 2017-09-28 Hendrik ter Horst , Matthias Hartung , Roman Klinger , Matthias Zwick , Philipp Cimiano

Binomial versions of the Andrews-Gordon-Bressoud identities are given.

Combinatorics · Mathematics 2016-08-04 Dennis Stanton

This paper is a short introduction to orthogonal polynomials, both the general theory and some special classes. It ends with some remarks about the usage of computer algebra for this theory.

Classical Analysis and ODEs · Mathematics 2021-11-12 Tom H. Koornwinder

A brief introduction to exterior differential systems for graduate students familiar with manifolds and differential forms. For complete files, see https://github.com/Ben-McKay/introduction-to-exterior-differential-systems

Differential Geometry · Mathematics 2020-09-17 Benjamin McKay

Genetic association studies have been a popular approach for assessing the association between common Single Nucleotide Polymorphisms (SNPs) and complex diseases. However, other genomic data involved in the mechanism from SNPs to disease,…

Applications · Statistics 2014-04-28 Yen-Tsung Huang , Tyler J. VanderWeele , Xihong Lin

The objective of this article is to give an introduction to p-adic analysis along the lines of Tate's thesis, as well as incorporating material of a more recent vintage, for example Weil groups.

Number Theory · Mathematics 2020-11-05 Garth Warner

In this paper we have proposed a model for the distribution of allelic probabilities for generating populations as reliably as possible. Our objective was to develop such a model which would allow simulating allelic probabilities with…

Computations in the cohomology of finite groups.

Algebraic Topology · Mathematics 2007-12-03 Ian J Leary

Living organisms are the most complex, interesting and significant objects regarding all substructures of the universe. Life science is regarded as a science of the 21st century and one can expect great new discoveries in the near futures.…

Other Quantitative Biology · Quantitative Biology 2009-11-23 Branko Dragovich

We explore the use of generalized t priors on regression coefficients to help understand the nature of association signal within "hit regions" of genome-wide association studies. The particular generalized t distribution we adopt is a…

Applications · Statistics 2012-10-26 Anthony Lee , Francois Caron , Arnaud Doucet , Chris Holmes

A review of the empirical literature on access to scholarly information. This review focuses on surveys of authors, article download and citation analysis.

Digital Libraries · Computer Science 2016-09-08 Philip M. Davis

This article is devoted to studying gonosomal algebras and operators with a single male genotype. We compute the limit points of the trajectories of the corresponding normalised gonosomal operators, describing the development of specific…

Rings and Algebras · Mathematics 2025-02-11 Yolanda Cabrera Casado , Manuel Ladra , Andrés Pérez-Rodríguez

Gene-gene interactions have long been recognized to be fundamentally important to understand genetic causes of complex disease traits. At present, identifying gene-gene interactions from genome-wide case-control studies is computationally…

Genomics · Quantitative Biology 2010-01-29 Xiang Wan , Can Yang , Qiang Yang , Hong Xue , Xiaodan Fan , Nelson L. S. Tang , Weichuan Yu

Identifying phenotypes plays an important role in furthering our understanding of disease biology through practical applications within healthcare and the life sciences. The challenge of dealing with the complexities and noise within…

Applications · Statistics 2023-04-28 Andre Vauvelle , Hamish Tomlinson , Aaron Sim , Spiros Denaxas

This is an exposition of some basic ideas in the realm of Global Inverse Function theorems. We address ourselves mainly to readers who are interested in the applications to Differential Equations. But we do not deal with those applications…

Functional Analysis · Mathematics 2014-10-30 Giuseppe De Marco , Gianluca Gorni , Gaetano Zampieri

Motivated by genome-wide association screening studies (GWAS), we study high-dimensional marginal screenings of categorical variables where test statistics have approximate chi-square distributions. We characterize four new phase…

Statistics Theory · Mathematics 2022-06-06 Zheng Gao

In this article, we provide the appendix for Lifelong Generative Modelling Using Dynamic Expansion Graph Model. This appendix includes additional visual results as well as the numerical results on the challenging datasets. In addition, we…

Machine Learning · Computer Science 2022-03-28 Fei Ye , Adrian G. Bors

Genome-wide association studies (GWAS) have identified thousands of genetic variants associated with complex traits, and some variants are shown to be associated with multiple complex traits. Genetic covariance between two traits is defined…

Methodology · Statistics 2023-10-06 Jianqiao Wang , Sai Li , Hongzhe Li

The adaptive processing of graph data is a long-standing research topic which has been lately consolidated as a theme of major interest in the deep learning community. The snap increase in the amount and breadth of related research has come…

Machine Learning · Computer Science 2020-06-16 Davide Bacciu , Federico Errica , Alessio Micheli , Marco Podda

Genome-wide association studies, in which as many as a million single nucleotide polymorphisms (SNP) are measured on several thousand samples, are quickly becoming a common type of study for identifying genetic factors associated with many…

Methodology · Statistics 2010-10-25 Charles Kooperberg , Michael LeBlanc , James Y. Dai , Indika Rajapakse