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Two recent streams of work suggest that pairwise interactions may be sufficient to capture the complexity of biological systems ranging from protein structure to networks of neurons. In one approach, possible amino acid sequences in a…

Quantitative Methods · Quantitative Biology 2007-12-31 William Bialek , Rama Ranganathan

Alignment algorithms usually rely on simplified models of gaps for computational efficiency. Based on an isomorphism between alignments and physical helix-coil models, we show in statistical mechanics that alignments with realistic laws for…

Genomics · Quantitative Biology 2015-06-26 E. Yeramian , E. Debonneuil

Protein structure prediction can be shown to be an NP-hard problem; the number of conformations grows exponentially with the number of residues. The native conformations of proteins occupy a very small subset of these, hence an exploratory,…

Chemical Physics · Physics 2008-02-03 Mehul M. Khimasia , Peter V. Coveney

Correlation patterns in multiple sequence alignments of homologous proteins can be exploited to infer information on the three-dimensional structure of their members. The typical pipeline to address this task, which we in this paper refer…

Biomolecules · Quantitative Biology 2015-06-18 Christoph Feinauer , Marcin J. Skwark , Andrea Pagnani , Erik Aurell

Motivation: High-throughput experimental techniques have been producing more and more protein-protein interaction (PPI) data. PPI network alignment greatly benefits the understanding of evolutionary relationship among species, helps…

Data Structures and Algorithms · Computer Science 2016-04-13 Somaye Hashemifar , Qixing Huang , Jinbo XU

Protein secondary structure prediction is an important problem in bioinformatics. Inspired by the recent successes of deep neural networks, in this paper, we propose an end-to-end deep network that predicts protein secondary structures from…

Biomolecules · Quantitative Biology 2016-04-27 Zhen Li , Yizhou Yu

We describe a framework for random pairwise comparisons matrices, inspired by selected constructions releted to the so called inconsistency reduction of pairwise comparisons (PC) matrices. In to build up structures on random pairwise…

Statistics Theory · Mathematics 2023-12-04 Jean-Pierre Magnot

Classical dependence measures such as Pearson correlation, Spearman's $\rho$, and Kendall's $\tau$ can detect only monotonic or linear dependence. To overcome these limitations, Szekely et al.(2007) proposed distance covariance as a…

Computation · Statistics 2019-02-07 Arin Chaudhuri , Wenhao Hu

Most computer vision application rely on algorithms finding local correspondences between different images. These algorithms detect and compare stable local invariant descriptors centered at scale-invariant keypoints. Because of the…

Computer Vision and Pattern Recognition · Computer Science 2014-09-10 Ives Rey-Otero , Mauricio Delbracio , Jean-Michel Morel

We demonstrate a new algorithm for finding protein conformations that minimize a non-bonded energy function. The new algorithm, called the difference map, seeks to find an atomic configuration that is simultaneously in two constraint…

Biomolecules · Quantitative Biology 2007-06-13 Ivan C. Rankenburg , Veit Elser

Permutation symmetries of deep networks make basic operations like model merging and similarity estimation challenging. In many cases, aligning the weights of the networks, i.e., finding optimal permutations between their weights, is…

Machine Learning · Computer Science 2024-11-12 Aviv Navon , Aviv Shamsian , Ethan Fetaya , Gal Chechik , Nadav Dym , Haggai Maron

Evolutionary models measure the probability of amino acid substitutions occurring over different evolutionary distances. We examine various evolutionary models based on empirically derived amino acid substitution matrices. The models are…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Barbiellini , Alexandra Portnova , Anna Chetoukhina , Chia-Hsin Lu , Matteo Pellegrini

We present a parallelizable algorithm for computing the persistent homology of a filtered chain complex. Our approach differs from the commonly used reduction algorithm by first computing persistence pairs within local chunks, then…

Algebraic Topology · Mathematics 2013-03-05 Ulrich Bauer , Michael Kerber , Jan Reininghaus

In this study, the orthogonalization process for different inner products is applied to pairwise comparisons. Properties of consistent approximations of a given inconsistent pairwise comparisons matrix are examined. A method of a derivation…

Other Computer Science · Computer Science 2020-02-18 W. W. Koczkodaj , R. Smarzewski , J. Szybowski

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

Link prediction is an elemental challenge in network science, which has already found applications in guiding laboratorial experiments, digging out drug targets, recommending friends in social networks, probing mechanisms in network…

Physics and Society · Physics 2019-06-26 Ratha Pech , Dong Hao , Yan-Li Lee , Ye Yuan , Tao Zhou

We propose a method for detecting differential gene expression that exploits the correlation between genes. Our proposal averages the univariate scores of each feature with the scores in correlation neighborhoods. In a number of real and…

Statistics Theory · Mathematics 2007-06-13 Robert Tibshirani , Larry Wasserman

The proper biological functioning of proteins often relies on the occurrence of coordinated fluctuations around their native structure, or of wider and sometimes highly elaborated motions. Coarse-grained elastic-network descriptions are…

Biomolecules · Quantitative Biology 2013-10-17 Yves Dehouck , Alexander S. Mikhailov

Link prediction is a common problem in network science that transects many disciplines. The goal is to forecast the appearance of new links or to find links missing in the network. Typical methods for link prediction use the topology of the…

Social and Information Networks · Computer Science 2019-07-11 Huda Nassar , Austin R. Benson , David F. Gleich

An end-to-end trainable ConvNet architecture, that learns to harness the power of shape representation for matching disparate image pairs, is proposed. Disparate image pairs are deemed those that exhibit strong affine variations in scale,…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Shefali Srivastava , Abhimanyu Chopra , Arun CS Kumar , Suchendra M. Bhandarkar , Deepak Sharma