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Despite many advances in computational modeling of protein structures, these methods have not been widely utilized by experimental structural biologists. Two major obstacles are preventing the transition from a purely-experimental to a…

Biomolecules · Quantitative Biology 2019-11-04 Rishi Mukhopadhyay , Paul Shealy , Homayoun Valafar

Despite the recent advances in various Structural Genomics Projects, a large gap remains between the number of sequenced and structurally characterized proteins. Some reasons for this discrepancy include technical difficulties, labor, and…

Computer Vision and Pattern Recognition · Computer Science 2023-04-07 Arjang Fahim , Stephanie Irausquin , Homayoun Valafar

Direct-Coupling Analysis is a group of methods to harvest information about coevolving residues in a protein family by learning a generative model in an exponential family from data. In protein families of realistic size, this learning can…

Quantitative Methods · Quantitative Biology 2014-09-16 Magnus Ekeberg , Tuomo Hartonen , Erik Aurell

Background:Prediction of protein three-dimensional structures from amino acid sequences is a long-standing goal in computational/molecular biology. The successful discrimination of protein folds would help to improve the accuracy of protein…

Biomolecules · Quantitative Biology 2007-05-23 Y-h. Taguchi , M. Michael Gromiha

One algorithm to predict protein structure is the residual dipolar coupling based residue assembly and filter tool (REDCRAFT). This algorithm exploits an exponential reduction of the search space of all possible structures to find a…

Biomolecules · Quantitative Biology 2019-11-07 E. Timko , P. Shealy , M. Bryson , H. Valafar

The probabilistic principal component analysis (PPCA) is built upon a global linear mapping, with which it is insufficient to model complex data variation. This paper proposes a mixture of bilateral-projection probabilistic principal…

Computer Vision and Pattern Recognition · Computer Science 2016-01-08 Fujiao Ju , Yanfeng Sun , Junbin Gao , Simeng Liu , Yongli Hu

Motivation: Thanks to the recent advances in structural biology, nowadays three-dimensional structures of various proteins are solved on a routine basis. A large portion of these contain structural repetitions or internal symmetries. To…

Quantitative Methods · Quantitative Biology 2018-10-30 Guillaume Pagès , Sergei Grudinin

In topological data analysis, we want to discern topological and geometric structure of data, and to understand whether or not certain features of data are significant as opposed to simply random noise. While progress has been made on…

Computational Geometry · Computer Science 2020-01-10 So Mang Han , Taylor Okonek , Nikesh Yadav , Xiaojun Zheng

We consider two parametrized random digraph families, namely, proportional-edge and central similarity proximity catch digraphs (PCDs) and compare the performance of these two PCD families in testing spatial point patterns. These PCD…

Combinatorics · Mathematics 2010-10-22 Elvan Ceyhan

We introduce a new method of performing high dimensional discriminant analysis, which we call multiDA. We achieve this by constructing a hybrid model that seamlessly integrates a multiclass diagonal discriminant analysis model and feature…

Machine Learning · Statistics 2018-07-05 Sarah Elizabeth Romanes , John Thomas Ormerod , Jean YH Yang

Various approaches have explored the covariation of residues in multiple-sequence alignments of homologous proteins to extract functional and structural information. Among those are principal component analysis (PCA), which identifies the…

Biomolecules · Quantitative Biology 2013-08-28 Simona Cocco , Remi Monasson , Martin Weigt

The evolutionary trajectory of a protein through sequence space is constrained by function and three-dimensional (3D) structure. Residues in spatial proximity tend to co-evolve, yet attempts to invert the evolutionary record to identify…

Biomolecules · Quantitative Biology 2015-03-13 Debora S. Marks , Lucy J. Colwell , Robert Sheridan , Thomas A. Hopf , Andrea Pagnani , Riccardo Zecchina , Chris Sander

Point-based cell detection (PCD), which pursues high-performance cell sensing under low-cost data annotation, has garnered increased attention in computational pathology community. Unlike mainstream PCD methods that rely on intermediate…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Zhongyi Shui , Sunyi Zheng , Chenglu Zhu , Shichuan Zhang , Xiaoxuan Yu , Honglin Li , Jingxiong Li , Pingyi Chen , Lin Yang

A relaxed two dimensional principal component analysis (R2DPCA) approach is proposed for face recognition. Different to the 2DPCA, 2DPCA-$L_1$ and G2DPCA, the R2DPCA utilizes the label information (if known) of training samples to calculate…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Xiao Chen , Zhi-Gang Jia , Yunfeng Cai , Mei-Xiang Zhao

Protein structure prediction remains a challenge in the field of computational biology. Traditional protein structure prediction approaches include template-based modelling (say, homology modelling, and threading), and ab initio. A…

Other Quantitative Biology · Quantitative Biology 2015-07-14 Jianwei Zhu , Haicang Zhang , Chao Wang , Bin Ling , Wei-Mou Zheng , Dongbo Bu

Spatially proximate amino acids in a protein tend to coevolve. A protein's three-dimensional (3D) structure hence leaves an echo of correlations in the evolutionary record. Reverse engineering 3D structures from such correlations is an open…

Quantitative Methods · Quantitative Biology 2013-01-15 Magnus Ekeberg , Cecilia Lövkvist , Yueheng Lan , Martin Weigt , Erik Aurell

We report a 3D structure-based method of predicting protein-protein interaction partners. It involves screening for pairs of tetrahedra representing interacting amino acids at the interface of the protein-protein complex, with one…

Biomolecules · Quantitative Biology 2015-05-06 Vicente M. Reyes

We propose a three-stage 6 DoF object detection method called DPODv2 (Dense Pose Object Detector) that relies on dense correspondences. We combine a 2D object detector with a dense correspondence estimation network and a multi-view pose…

Computer Vision and Pattern Recognition · Computer Science 2022-07-07 Ivan Shugurov , Sergey Zakharov , Slobodan Ilic

Determining the 3D structures of proteins is essential in understanding their behavior in the cellular environment. Computational methods of predicting protein structures have advanced, but assessing prediction accuracy remains a challenge.…

Biomolecules · Quantitative Biology 2024-07-29 Musa Azeem , Homayoun Valafar

The similarity in the three-dimensional structures of homologous proteins imposes strong constraints on their sequence variability. It has long been suggested that the resulting correlations among amino acid compositions at different…

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