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The multivariate regression model basically offers the analysis of a single dataset with multiple responses. However, such a single-dataset analysis often leads to unsatisfactory results. Integrative analysis is an effective method to pool…

Methodology · Statistics 2023-04-18 Shuichi Kawano , Toshikazu Fukushima , Junichi Nakagawa , Mamoru Oshiki

The present review presents the authors previous results on the topic from the title in a new light. Most of the previous results were obtained using the techniques of antilinear Hilbert-Schmidt mappings of one Hilbert pace into another,…

Mathematical Physics · Physics 2014-10-21 Fedor Herbut

Copula models have become popular in different applications, including modeling shocks, in view of their ability to describe better the dependence concepts in stochastic systems. The class of maxmin copulas was recently introduced by…

Statistics Theory · Mathematics 2018-12-12 Tomaž Košir , Matjaž Omladič

Combined inference for heterogeneous high-dimensional data is critical in modern biology, where clinical and various kinds of molecular data may be available from a single study. Classical genetic association studies regress a single…

Applications · Statistics 2017-03-22 Hélène Ruffieux , Anthony C. Davison , Jörg Hager , Irina Irincheeva

This article attempts to place the emergence of probabilistic numerics as a mathematical-statistical research field within its historical context and to explore how its gradual development can be related both to applications and to a modern…

Numerical Analysis · Mathematics 2024-12-20 C. J. Oates , T. J. Sullivan

A critical task in systems biology is the identification of genes that interact to control cellular processes by transcriptional activation of a set of target genes. Many methods have been developed to use statistical correlations in…

Quantitative Methods · Quantitative Biology 2010-11-24 Adam A. Margolin , Kai Wang , Andrea Califano , Ilya Nemenman

Statistical inference in high-dimensional settings is challenging when standard unregularized methods are employed. In this work, we focus on the case of multiple correlated proportions for which we develop a Bayesian inference framework.…

Methodology · Statistics 2025-06-23 Max Westphal

This article gives an overview of some recent results in commutative algebra that are inspired by the work of Wiles, Taylor and Wiles, Diamond, Lenstra and others on the modularity of elliptic curves.

Commutative Algebra · Mathematics 2026-03-31 Srikanth B. Iyengar

This article focuses on the optimization of a complex system which is composed of several subsystems. On the one hand, these subsystems are subject to multiple objectives, local constraints as well as local variables, and they are…

The current report covers the period from the second half of 2011 to late 2014. It is divided into three areas covering rotational, vibrational, and electronic spectroscopy. A signifcant amount of experimental and theoretical work has been…

Atomic Physics · Physics 2015-10-30 Steven R. Federman , Peter F. Bernath , Holger S. P. Mueller

The rapid advancement of high-throughput sequencing and other assay technologies has resulted in the generation of large and complex multi-omics datasets, offering unprecedented opportunities for advancing precision medicine strategies.…

Quantitative Methods · Quantitative Biology 2025-01-30 Ana R. Baião , Zhaoxiang Cai , Rebecca C Poulos , Phillip J. Robinson , Roger R Reddel , Qing Zhong , Susana Vinga , Emanuel Gonçalves

Purpose High dimensional, multimodal data can nowadays be analyzed by huge deep neural networks with little effort. Several fusion methods for bringing together different modalities have been developed. Given the prevalence of…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Christian Gapp , Elias Tappeiner , Martin Welk , Karl Fritscher , Elke Ruth Gizewski , Rainer Schubert

Many sciences have made significant breakthroughs by adopting online tools that help organize, structure and mine information that is too detailed to be printed in journals. In this paper, we introduce OpenML, a place for machine learning…

Machine Learning · Computer Science 2014-08-04 Joaquin Vanschoren , Jan N. van Rijn , Bernd Bischl , Luis Torgo

The question of citation behavior has always intrigued scientists from various disciplines. While general citation patterns have been widely studied in the literature we develop the notion of citation projection graphs by investigating the…

Digital Libraries · Computer Science 2010-04-21 Xiaolin Shi , Jure Leskovec , Daniel A. McFarland

This survey provides a self-contained account of $M$-estimation of multivariate scatter. In particular, we present new proofs for existence of the underlying $M$-functionals and discuss their weak continuity and differentiability. This is…

Statistics Theory · Mathematics 2015-03-20 Lutz Duembgen , Markus Pauly , Thomas Schweizer

Estimation of causal effects using machine learning methods has become an active research field in econometrics. In this paper, we study the finite sample performance of meta-learners for estimation of heterogeneous treatment effects under…

Econometrics · Economics 2022-02-01 Gabriel Okasa

Clustering objects into synthetic groups is a natural activity of any science. Astrophysics is not an exception and is now facing a deluge of data. For galaxies, the one-century old Hubble classification and the Hubble tuning fork are still…

Astrophysics of Galaxies · Physics 2015-08-28 Didier Fraix-Burnet , Marc Thuillard , Asis Kumar Chattopadhyay

Vast amounts of artistic data is scattered on-line from both museums and art applications. Collecting, processing and studying it with respect to all accompanying attributes is an expensive process. With a motivation to speed up and improve…

Multimedia · Computer Science 2017-08-03 Gjorgji Strezoski , Marcel Worring

Marshall and Olkin (1997, Biometrika, 84, 641 - 652) introduced a very powerful method to introduce an additional parameter to a class of continuous distribution functions and hence it brings more flexibility to the model. They have…

Methodology · Statistics 2018-02-20 Debasis Kundu , Vahid Nekoukhou

Multivariate processes with long-range dependent properties are found in a large number of applications including finance, geophysics and neuroscience. For real data applications, the correlation between time series is crucial. Usual…

Statistics Theory · Mathematics 2015-11-02 Sophie Achard , Irène Gannaz
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