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Genetical genomics experiments have now been routinely conducted to measure both the genetic markers and gene expression data on the same subjects. The gene expression levels are often treated as quantitative traits and are subject to…

Applications · Statistics 2012-03-01 Jianxin Yin , Hongzhe Li

Comparing different neural network representations and determining how representations evolve over time remain challenging open questions in our understanding of the function of neural networks. Comparing representations in neural networks…

Machine Learning · Statistics 2018-10-25 Ari S. Morcos , Maithra Raghu , Samy Bengio

A biological pathway represents a set of genes that serves a particular cellular or a physiological function. The genes within the same pathway are expected to function together and hence may interact with each other. It is also known that…

Methodology · Statistics 2012-06-14 Zaili Fang , Inyoung Kim , Jeesun Jung

Dynamic gene-regulatory networks are complex since the number of potential components involved in the system is very large. Estimating dynamic networks is an important task because they compromise valuable information about interactions…

Methodology · Statistics 2012-05-15 Antonino Abbruzzo , Ernst Wit

In this paper, we propose an optimization-based sparse learning approach to identify the set of most influential reactions in a chemical reaction network. This reduced set of reactions is then employed to construct a reduced chemical…

Optimization and Control · Mathematics 2017-12-14 Farshad Harirchi , Omar A. Khalil , Sijia Liu , Paolo Elvati , Angela Violi , Alfred O. Hero

Canonical correlation analysis (CCA) is a technique to find statistical dependencies between a pair of multivariate data. However, its application to high dimensional data is limited due to the resulting time complexity. While the…

Machine Learning · Computer Science 2020-12-29 Naoko Koide-Majima , Kei Majima

In this paper, we introduce Functional Generalized Canonical Correlation Analysis (FGCCA), a new framework for exploring associations between multiple random processes observed jointly. The framework is based on the multiblock Regularized…

Methodology · Statistics 2023-10-12 Lucas Sort , Laurent Le Brusquet , Arthur Tenenhaus

Canonical correlation analysis (CCA) has become a key tool for population neuroimaging, allowing investigation of associations between many imaging and non-imaging measurements. As other variables are often a source of variability not of…

Methodology · Statistics 2024-01-09 Anderson M. Winkler , Olivier Renaud , Stephen M. Smith , Thomas E. Nichols

Inferring dependence structure through undirected graphs is crucial for uncovering the major modes of multivariate interaction among high-dimensional genomic markers that are potentially associated with cancer. Traditionally, conditional…

Methodology · Statistics 2016-04-04 Anindya Bhadra , Arvind Rao , Veerabhadran Baladandayuthapani

Chemical kinetic mechanisms can be represented by sets of elementary reactions that are easily translated into mathematical terms using physicochemical relationships. The schematic representation of reactions captures the interactions…

Optimization and Control · Mathematics 2019-02-12 Farshad Harirchi , Doohyun Kim , Omar A. Khalil , Sijia Liu , Paolo Elvati , Angela Violi , Alfred O. Hero

Canonical correlation analysis (CCA) is a classical representation learning technique for finding correlated variables in multi-view data. Several nonlinear extensions of the original linear CCA have been proposed, including kernel and deep…

Machine Learning · Computer Science 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

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

Canonical correlation analysis (CCA) is a technique for measuring the association between two multivariate data matrices. A regularized modification of canonical correlation analysis (RCCA) which imposes an $\ell_2$ penalty on the CCA…

Methodology · Statistics 2021-07-30 Elena Tuzhilina , Leonardo Tozzi , Trevor Hastie

Genetic interaction measures how different genes collectively contribute to a phenotype, and can reveal functional compensation and buffering between pathways under genetic perturbations. Recently, genome-wide screening for genetic…

Molecular Networks · Quantitative Biology 2015-03-17 Gang Fang , Wen Wang , Vanja Paunic , Benjamin Oately , Majda Haznadar , Michael Steinbach , Brian Van Ness , Chad L. Myers , Vipin Kumar

In brain-computer interface or neuroscience applications, generalized canonical correlation analysis (GCCA) is often used to extract correlated signal components in the neural activity of different subjects attending to the same stimulus.…

Signal Processing · Electrical Eng. & Systems 2023-02-17 Simon Geirnaert , Tom Francart , Alexander Bertrand

Research data sets are growing to unprecedented sizes and network modeling is commonly used to extract complex relationships in diverse domains, such as genetic interactions involved in disease, logistics, and social communities. As the…

Social and Information Networks · Computer Science 2024-05-03 Sharlee Climer , Kenneth Smith , Wei Yang , Lisa de las Fuentes , Victor G. Dávila-Román , C. Charles Gu

Canonical correlation analysis is a widely used multivariate statistical technique for exploring the relation between two sets of variables. This paper considers the problem of estimating the leading canonical correlation directions in…

Statistics Theory · Mathematics 2015-10-16 Chao Gao , Zongming Ma , Zhao Ren , Harrison H. Zhou

This paper proposes a robust high-dimensional sparse canonical correlation analysis (CCA) method for investigating linear relationships between two high-dimensional random vectors, focusing on elliptical symmetric distributions. Traditional…

Methodology · Statistics 2025-04-18 Chengde Qian , Yanhong Liu , Long Feng

Networks are a unifying framework for modeling complex systems and network inference problems are frequently encountered in many fields. Here, I develop and apply a generative approach to network inference (RCweb) for the case when the…

Machine Learning · Statistics 2014-07-01 Nikolai Slavov

Integration of multi-omics data provides opportunities for revealing biological mechanisms related to certain phenotypes. We propose a novel method of multi-omics integration called supervised deep generalized canonical correlation analysis…

Quantitative Methods · Quantitative Biology 2022-04-21 Jeongyoung Hwang , Sehwan Moon , Hyunju Lee