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Canonical Correlation Analysis, CCA, is a widely used multivariate method in omics research for integrating high dimensional datasets. CCA identifies hidden links by deriving linear projections of features maximally correlating datasets.…

Methodology · Statistics 2025-10-31 Nuria Senar , Aeilko H. Zwinderman , Michel H. Hof and

Shape complementarity of molecular surfaces at the interfaces is a well-known characteristic of protein-protein binding regions, and it is critical in influencing the stability of the complex. Measuring such complementarity is at the basis…

Quantitative Methods · Quantitative Biology 2025-08-19 Mattia Miotto , Lorenzo Di Rienzo , Leonardo Bo' , Giancarlo Ruocco , Edoardo Milanetti

Determining which proteins interact together is crucial to a systems-level understanding of the cell. Recently, algorithms based on Direct Coupling Analysis (DCA) pairwise maximum-entropy models have allowed to identify interaction partners…

Biomolecules · Quantitative Biology 2020-03-25 Guillaume Marmier , Martin Weigt , Anne-Florence Bitbol

We introduce a Content-based Document Alignment approach (CDA), an efficient method to align multilingual web documents based on content in creating parallel training data for machine translation (MT) systems operating at the industrial…

Computation and Language · Computer Science 2021-02-23 Thuy Vu , Alessandro Moschitti

Protein structure prediction has been a grand challenge problem in the structure biology over the last few decades. Protein quality assessment plays a very important role in protein structure prediction. In the paper, we propose a new…

Machine Learning · Computer Science 2016-02-20 Renzhi Cao , Taeho Jo , Jianlin Cheng

Artificial neural networks that learn to perform Principal Component Analysis (PCA) and related tasks using strictly local learning rules have been previously derived based on the principle of similarity matching: similar pairs of inputs…

Computation · Statistics 2018-11-06 Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii

Sequences of nucleotides (for DNA and RNA) or amino acids (for proteins) are central objects in biology. Among the most important computational problems is that of sequence alignment, i.e. arranging sequences from different organisms in…

Quantitative Methods · Quantitative Biology 2020-12-08 Anna Paola Muntoni , Andrea Pagnani , Martin Weigt , Francesco Zamponi

Sparse principal component analysis (SPCA) has emerged as a powerful technique for modern data analysis, providing improved interpretation of low-rank structures by identifying localized spatial structures in the data and disambiguating…

Principal component analysis (PCA) is a well-known linear dimension-reduction method that has been widely used in data analysis and modeling. It is an unsupervised learning technique that identifies a suitable linear subspace for the input…

Machine Learning · Statistics 2021-09-10 Shaojie Xu , Joel Vaughan , Jie Chen , Agus Sudjianto , Vijayan Nair

Principal skewness analysis (PSA) has been introduced for feature extraction in hyperspectral imagery. As a third-order generalization of principal component analysis (PCA), its solution of searching for the locally maximum skewness…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Xiurui Geng , Lei Wang

Motivation: The multiple sequence alignment (MSA) problem has been extensively studied, with numerous approaches developed over recent years. With the rapid growth of sequence data, there is an increasing need for fast and accurate MSA…

Computational Engineering, Finance, and Science · Computer Science 2026-01-23 Emily G. Light , Morgan Prior , Noah M. Daniels , Najib Ishaq

Principal component analysis (PCA) has been widely applied to dimensionality reduction and data pre-processing for different applications in engineering, biology and social science. Classical PCA and its variants seek for linear projections…

Machine Learning · Computer Science 2017-07-11 Xiaojun Chang , Feiping Nie , Yi Yang , Heng Huang

Principal component analysis (PCA) has been widely used in analyzing high-dimensional data. It converts a set of observed data points of possibly correlated variables into a set of linearly uncorrelated variables via an orthogonal…

Optimization and Control · Mathematics 2024-03-06 Xin Liang , Zhen-Chen Guo , Li Wang , Ren-Cang Li , Wen-Wei Lin

This paper presents a novel research problem on joint discovery of commonalities and differences between two individual documents (or document sets), called Comparative Document Analysis (CDA). Given any pair of documents from a document…

Information Retrieval · Computer Science 2015-10-27 Xiang Ren , Yuanhua Lv , Kuansan Wang , Jiawei Han

Linking between two data sources is a basic building block in numerous computer vision problems. In this paper, we set to answer a fundamental cognitive question: are prior correspondences necessary for linking between different domains?…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Yedid Hoshen , Lior Wolf

The structure of proteins is the basis for studying protein function and drug design. The emergence of AlphaFold 2 has greatly promoted the prediction of protein 3D structures, and it is of great significance to give an overall and accurate…

Biomolecules · Quantitative Biology 2024-07-02 Wenda Wang , Jiaqi Zhai , He Huang , Xinqi Gong

Canonical correlation analysis (CCA) is a popular technique for learning representations that are maximally correlated across multiple views in data. In this paper, we extend the CCA based framework for learning a multiview mixture model.…

Machine Learning · Computer Science 2020-01-01 Nils Holzenberger , Raman Arora

Sparse Canonical Correlation Analysis (SCCA) is a fundamental statistical tool for identifying linear relationships in high-dimensional, multi-view data. While minimax theory establishes an optimal sample complexity scaling additively with…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Mengchu Xu , Jian Wang , Yonina C. Eldar

We propose a new high dimensional semiparametric principal component analysis (PCA) method, named Copula Component Analysis (COCA). The semiparametric model assumes that, after unspecified marginally monotone transformations, the…

Machine Learning · Statistics 2014-02-20 Fang Han , Han Liu

Sparse Canonical Correlation Analysis (CCA) has received considerable attention in high-dimensional data analysis to study the relationship between two sets of random variables. However, there has been remarkably little theoretical…

Statistics Theory · Mathematics 2013-11-26 Mengjie Chen , Chao Gao , Zhao Ren , Harrison H. Zhou