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Our work is motivated by and illustrated with application of association networks in computational biology, specifically in the context of gene/protein regulatory networks. Association networks represent systems of interacting elements,…

Applications · Statistics 2012-05-01 Natallia Katenka , Eric D. Kolaczyk

An RNA molecule is structured on several layers. The primary and most obvious structure is its sequence of bases, i.e. a word over the alphabet {A,C,G,U}. The higher structure is a set of one-to-one base-pairings resulting in a…

Data Structures and Algorithms · Computer Science 2007-05-23 Michael Brinkmeier

We desgin a novel fully convolutional network architecture for shapes, denoted by Shape Fully Convolutional Networks (SFCN). 3D shapes are represented as graph structures in the SFCN architecture, based on novel graph convolution and…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Pengyu Wang , Yuan Gan , Panpan Shui , Fenggen Yu , Yan Zhang , Songle Chen , Zhengxing Sun

Peaks in the probabilities of loops or bubbles, helical segments, and unzipping ends in melting DNA are found in this article using a peak finding method that maps the hierarchical structure of certain energy landscapes. The peaks indicate…

Biomolecules · Quantitative Biology 2007-05-23 E. Tostesen

Biological network alignment (NA) aims to find a node mapping between species' molecular networks that uncovers similar network regions, thus allowing for transfer of functional knowledge between the aligned nodes. However, current NA…

Molecular Networks · Quantitative Biology 2020-09-09 Shawn Gu , Tijana Milenkovic

Segment matching is an important intermediate task in computer vision that establishes correspondences between semantically or geometrically coherent regions across images. Unlike keypoint matching, which focuses on localized features,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Rohit Jayanti , Swayam Agrawal , Vansh Garg , Siddharth Tourani , Muhammad Haris Khan , Sourav Garg , Madhava Krishna

Correlation remains to be one of the most widely used statistical tools for assessing the strength of relationships between data series. This paper presents a novel compositional correlation method for detecting linear and nonlinear…

Methodology · Statistics 2022-02-09 Fatih Dikbas

RNA function is intimately related to its structural dynamics. Molecular dynamics simulations are useful for exploring biomolecular flexibility but are severely limited by the accessible timescale. Enhanced sampling methods allow this…

Biomolecules · Quantitative Biology 2018-02-06 Vojtěch Mlýnský , Giovanni Bussi

Graphs are a highly expressive data structure, but it is often difficult for humans to find patterns from a complex graph. Hence, generating human-interpretable sequences from graphs have gained interest, called graph2seq learning. It is…

Machine Learning · Computer Science 2022-01-31 Takeshi D. Itoh , Takatomi Kubo , Kazushi Ikeda

The analysis of correlations of amino acid occurrences in globular proteins has led to the development of statistical tools that can identify native contacts -- portions of the chains that come to close distance in folded structural…

Biomolecules · Quantitative Biology 2014-07-28 Rocío Espada , R. Gonzalo Parra , Thierry Mora , Aleksandra M. Walczak , Diego Ferreiro

In many applications of shape analysis, lengths between some landmarks are constrained. For instance, biomolecules often have some bond lengths and some bond angles constrained, and variation occurs only along unconstrained bonds and…

Methodology · Statistics 2025-02-25 Kanti V. Mardia , Benjamin Eltzner , Stephan F. Huckemann

Root Cause Analysis (RCA) aims at identifying the underlying causes of system faults by uncovering and analyzing the causal structure from complex systems. It has been widely used in many application domains. Reliable diagnostic conclusions…

Artificial Intelligence · Computer Science 2024-07-15 Chang Gong , Di Yao , Jin Wang , Wenbin Li , Lanting Fang , Yongtao Xie , Kaiyu Feng , Peng Han , Jingping Bi

Graphs can be used to effectively represent complex data structures. Learning these irregular data in graphs is challenging and still suffers from shallow learning. Applying deep learning on graphs has recently showed good performance in…

Machine Learning · Computer Science 2020-09-16 Thosini Bamunu Mudiyanselage , Xiujuan Lei , Nipuna Senanayake , Yanqing Zhang , Yi Pan

RNA-RNA binding is an important phenomenon observed for many classes of non-coding RNAs and plays a crucial role in a number of regulatory processes. Recently several MFE folding algorithms for predicting the joint structure of two…

Combinatorics · Mathematics 2010-06-16 Thomas J. X. Li , Christian M. Reidys

Results of a partial wave analysis of new high-statistics data on $\gamma p\to p\eta$ from MAMI are presented. A fit using known broad resonances and only standard background amplitudes can not describe the relatively narrow peaking…

High Energy Physics - Phenomenology · Physics 2011-09-07 A. V. Anisovich , E. Klempt , V. Kuznetsov , V. A. Nikonov , M. V. Polyakov , A. V. Sarantsev , U. Thoma

Relationship-aware sequential pattern mining is the problem of mining frequent patterns in sequences in which the events of a sequence are mutually related by one or more concepts from some respective hierarchical taxonomies, based on the…

Databases · Computer Science 2012-12-24 Nabil Stendardo , Alexandros Kalousis

SHAP is a popular method for measuring variable importance in machine learning models. In this paper, we study the algorithm used to estimate SHAP scores and outline its connection to the functional ANOVA decomposition. We use this…

Methodology · Statistics 2022-11-14 Andrew Herren , P. Richard Hahn

Structural templates are 3D signatures representing protein functional sites, such as ligand binding cavities, metal coordination motifs or catalytic sites. Here we explore methods to generate template libraries and algorithms to query…

Biomolecules · Quantitative Biology 2022-03-08 Ioannis G. Riziotis , Janet M. Thornton

For decades, dimethyl sulfate (DMS) mapping has informed manual modeling of RNA structure in vitro and in vivo. Here, we incorporate DMS data into automated secondary structure inference using a pseudo-energy framework developed for 2'-OH…

Biomolecules · Quantitative Biology 2012-07-06 Pablo Cordero , Wipapat Kladwang , Christopher C. VanLang , Rhiju Das

Hypothesis testing of structure in correlation and covariance matrices is of broad interest in many application areas. In high dimensions and/or small to moderate sample sizes, high error rates in testing is a substantial concern. This…

Methodology · Statistics 2026-01-07 Ziyang Ding , David Dunson
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