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Music motif, as a conceptual building block of composition, is crucial for music structure analysis and automatic composition. While human listeners can identify motifs easily, existing computational models fall short in representing motifs…

Sound · Computer Science 2023-09-20 Yuxuan Wu , Roger B. Dannenberg , Gus Xia

The analysis of small recurrent substructures, so called network motifs, has become a standard tool of complex network science to unveil the design principles underlying the structure of empirical networks. In many natural systems network…

Quantitative Methods · Quantitative Biology 2015-07-08 Pavel V. Paulau , Christoph Feenders , Bernd Blasius

Network science can offer fundamental insights into the structural and functional properties of complex systems. For example, it is widely known that neuronal circuits tend to organize into basic functional topological modules, called…

Adaptation and Self-Organizing Systems · Physics 2022-08-03 Matteo Zambra , Alberto Testolin , Amos Maritan

Defects dictate the properties of many functional materials. To understand the behaviour of defects and their impact on physical properties, it is necessary to identify the most stable defect geometries. However, global structure searching…

Materials Science · Physics 2024-06-12 Irea Mosquera-Lois , Seán R. Kavanagh , Alex M. Ganose , Aron Walsh

Recent years have witnessed a surge of interest in machine learning on graphs and networks with applications ranging from vehicular network design to IoT traffic management to social network recommendations. Supervised machine learning…

Social and Information Networks · Computer Science 2019-08-23 Manoj Reddy Dareddy , Mahashweta Das , Hao Yang

Understanding material composition-structure-function relationships is of critical importance for the design and discovery of novel functional materials. While most such studies focus on individual materials, we conducted a global mapping…

Materials Science · Physics 2023-02-14 Qinyang Li , Rongzhi Dong , Nihang Fu , Sadman Sadeed Omee , Lai Wei , Jianjun Hu

Several natural and theoretical networks can be broken down into smaller portions, or subgraphs corresponding to neighborhoods. The more frequent of these neighborhoods can then be understood as motifs of the network, being therefore…

Physics and Society · Physics 2022-04-21 Guilherme S. Domingues , Eric K. Tokuda , Luciano da F. Costa

Identifying local structural motifs and packing patterns of molecular solids is a challenging task for both simulation and experiment. We demonstrate two novel approaches to characterize local environments in different polymorphs of…

Materials Science · Physics 2024-04-02 Daisuke Kuroshima , Michael Kilgour , Mark E. Tuckerman , Jutta Rogal

Complex networks evolve and vary their structure as time goes by. In particular, the links in those networks have both a sign and a directionality. To understand their structural principles, we measure the network motifs, which are patterns…

Physics and Society · Physics 2023-06-28 Youngjai Park , Mi Jin Lee , Seung-Woo Son

We present a complete set of chemo-structural descriptors to significantly extend the applicability of machine-learning (ML) in material screening and mapping energy landscape for multicomponent systems. These new descriptors allow…

Materials Science · Physics 2018-08-08 Kamal Choudhary , Brian DeCost , Francesca Tavazza

The large-scale search for high-performing candidate 2D materials is limited to calculating a few simple descriptors, usually with first-principles density functional theory calculations. In this work, we alleviate this issue by extending…

Materials Science · Physics 2020-07-07 Victor Venturi , Holden Parks , Zeeshan Ahmad , Venkatasubramanian Viswanathan

In order to make accurate predictions of material properties, current machine-learning approaches generally require large amounts of data, which are often not available in practice. In this work, an all-round framework is presented which…

Materials Science · Physics 2021-07-09 Pierre-Paul De Breuck , Geoffroy Hautier , Gian-Marco Rignanese

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede

Materials discovery is crucial for making scientific advances in many domains. Collections of data from experiments and first-principle computations have spurred interest in applying machine learning methods to create predictive models…

Polymorphism, the ability of a compound to crystallize in multiple distinct structures, plays a vital role in determining the physical, chemical, and functional properties of materials. Accurate identification and prediction of polymorphic…

Materials Science · Physics 2025-08-15 Sourin Dey , Nicholas Miklaucic , Sadman Sadeed Omee , Rongzhi Dong , Lai Wei , Qinyang Li , Nihang Fu , Jianjun Hu

We study a material modeled as a network of nodes connected by edges. Using a discrete approach, we build a nonlinear algebraic system that connects applied forces to internal forces and node positions. The model can describe elasticity,…

Optimization and Control · Mathematics 2025-10-14 Ioannis Dassios

We investigate the problem of producing structured graph representations of visual scenes. Our work analyzes the role of motifs: regularly appearing substructures in scene graphs. We present new quantitative insights on such repeated…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Rowan Zellers , Mark Yatskar , Sam Thomson , Yejin Choi

Network motifs are often called the building blocks of networks. Analysis of motifs is found to be an indispensable tool for understanding local network structure, in contrast to measures based on node degree distribution and its functions…

Physics and Society · Physics 2017-08-23 Asim Kumer Dey , Yulia R. Gel , H. Vincent Poor

Many real-world networks describe systems in which interactions decay with the distance between nodes. Examples include systems constrained in real space such as transportation and communication networks, as well as systems constrained in…

Statistical Mechanics · Physics 2009-11-10 Shalev Itzkovitz , Uri Alon

Crystal-graph attention networks have emerged recently as remarkable tools for the prediction of thermodynamic stability and materials properties from unrelaxed crystal structures. Previous networks trained on two million materials…