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We propose a general framework for non-normal multivariate data analysis called multivariate covariance generalized linear models (McGLMs), designed to handle multivariate response variables, along with a wide range of temporal and spatial…

Methodology · Statistics 2017-04-25 Wagner Hugo Bonat , Bent Jørgensen

The relationship between the Ohno relation and multiple polylogarithms are discussed. Using this relationship, the algebraic reduction of the Ohno relation is given.

Number Theory · Mathematics 2007-05-23 Jun-ichi Okuda , Kimio Ueno

Metabonomics time-course experiments provide the opportunity to understand the changes to an organism by observing the evolution of metabolic profiles in response to internal or external stimuli. Along with other omic longitudinal profiling…

Applications · Statistics 2018-04-09 Takoua Jendoubi , Timothy M. D. Ebbels

The continuing advances of omic technologies mean that it is now more tangible to measure the numerous features collectively reflecting the molecular properties of a sample. When multiple omic methods are used, statistical and computational…

Genomics · Quantitative Biology 2023-08-14 Tim Downing , Nicos Angelopoulos

This paper explores the seamless integration of Generative AI (GenAI) and Evolutionary Algorithms (EAs) within the domain of large-scale multi-objective optimization. Focusing on the transformative role of Large Language Models (LLMs), our…

Neural and Evolutionary Computing · Computer Science 2024-05-14 Gaurav Singh , Kavitesh Kumar Bali

This expository paper features a few highlights of Richard Stanley's extensive work in Ehrhart theory, the study of integer-point enumeration in rational polyhedra. We include results from the recent literature building on Stanley's work,…

Combinatorics · Mathematics 2019-03-06 Matthias Beck

Large-scale data are often characterized by some degree of inhomogeneity as data are either recorded in different time regimes or taken from multiple sources. We look at regression models and the effect of randomly changing coefficients,…

Methodology · Statistics 2016-08-11 Nicolai Meinshausen , Peter Bühlmann

We give a short appreciation of Mumford's work on the moduli of varieties by putting it into historical context. By reviewing earlier works we highlight the innovations introduced by Mumford. Then we discuss recent developments whose…

Algebraic Geometry · Mathematics 2018-10-01 János Kollár

We define the class of multivariate group entropies as a novel set of information - theoretical measures, which extends significantly the family of group entropies. We propose new examples related to the "super-exponential" universality…

Mathematical Physics · Physics 2020-12-03 Piergiulio Tempesta

Network meta-analysis has been gaining prominence as an evidence synthesis method that enables the comprehensive synthesis and simultaneous comparison of multiple treatments. In many network meta-analyses, some of the constituent studies…

Methodology · Statistics 2021-07-14 Hisashi Noma , Masahiko Gosho , Ryota Ishii , Koji Oba , Toshi A. Furukawa

We provide a comprehensive and critical review of the h-index and its most important modifications proposed in the literature, as well as of other similar indicators measuring research output and impact. Extensions of some of these indices…

Information Retrieval · Computer Science 2009-09-15 John Panaretos , Chrisovaladis Malesios

While data science is battling to extract information from the enormous explosion of data, many estimators and algorithms are being developed for better prediction. Researchers and data scientists often introduce new methods and evaluate…

Applications · Statistics 2019-05-22 Raju Rimal , Trygve Almøy , Solve Sæbø

The emergence and continued reliance on the Internet and related technologies has resulted in the generation of large amounts of data that can be made available for analyses. However, humans do not possess the cognitive capabilities to…

Machine Learning · Computer Science 2021-01-12 MohammadNoor Injadat , Abdallah Moubayed , Ali Bou Nassif , Abdallah Shami

Analyzing data from multiple neuroimaging studies has great potential in terms of increasing statistical power, enabling detection of effects of smaller magnitude than would be possible when analyzing each study separately and also allowing…

Collaboration among researchers is an essential component of the modern scientific enterprise, playing a particularly important role in multidisciplinary research. However, we continue to wrestle with allocating credit to the coauthors of…

Physics and Society · Physics 2014-08-18 Hua-Wei Shen , Albert-László Barabási

We characterize, in an algebraic and in a diagrammatic way, Milnor string link invariants indexed by sequences where any index appears at most $k$ times, for any fixed $k\ge 1$. The algebraic characterization is given in terms of an…

Geometric Topology · Mathematics 2022-05-11 Benjamin Audoux , Jean-Baptiste Meilhan , Akira Yasuhara

The paper analyzes how the enlarging of the sample affects to the mitigation of collinearity concluding that it may mitigate the consequences of collinearity related to statistical analysis but not necessarily the numerical instability. The…

Machine Learning (ML) is increasingly used across many disciplines with impressive reported results. However, recent studies suggest published performance of ML models are often overoptimistic. Validity concerns are underscored by findings…

Machine Learning · Computer Science 2024-07-15 Pouria Saidi , Gautam Dasarathy , Visar Berisha

The problem known as multicolinearity has long been recognized to fundamentally and negatively influence multiple regression. This paper does not intend to either propose a numerical assessment of the degree to which this problem exists…

Methodology · Statistics 2023-02-14 Grayson L. Baird , Stephen L. Bieber

We consider the problem of meta-analyzing two-group studies that report the median of the outcome. Often, these studies are excluded from meta-analysis because there are no well-established statistical methods to pool the difference of…

Methodology · Statistics 2022-06-22 Sean McGrath , Hojoon Sohn , Russell Steele , Andrea Benedetti