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Incorporation of physical principles in a network-based machine learning (ML) architecture is a fundamental step toward the continued development of artificial intelligence for materials science and condensed matter physics. In this work,…

Link prediction plays an important role in network analysis and applications. Recently, approaches for link prediction have evolved from traditional similarity-based algorithms into embedding-based algorithms. However, most existing…

Social and Information Networks · Computer Science 2020-08-11 Lei Wang , Jing Ren , Bo Xu , Jianxin Li , Wei Luo , Feng Xia

Data-driven approaches are particularly useful for computational materials discovery and design as they can be used for rapidly screening over a very large number of materials, thus suggesting lead candidates for further in-depth…

Materials Science · Physics 2015-07-09 Tran Doan Huan , Arun Mannodi-Kanakkithodi , Rampi Ramprasad

Network motifs are small building blocks of complex networks. Statistically significant motifs often perform network-specific functions. However, the precise nature of the connection between motifs and the global structure and function of…

Physics and Society · Physics 2015-03-03 Almerima Jamakovic , Priya Mahadevan , Amin Vahdat , Marian Boguna , Dmitri Krioukov

The structure of the network can be described by motifs, which are subgraphs that often repeat themselves. In order to understand the structure of network motifs, it is of great importance to study subgraphs from the perspective of…

General Topology · Mathematics 2019-10-25 Ruize Gao , Ying Zhao

Attribute reconstruction is used to predict node or edge features in the pre-training of graph neural networks. Given a large number of molecules, they learn to capture structural knowledge, which is transferable for various downstream…

Machine Learning · Computer Science 2025-01-27 Eric Inae , Gang Liu , Meng Jiang

Topological network motifs represent functional relationships within and between regulatory and protein-protein interaction networks. Enriched motifs often aggregate into self-contained units forming functional modules. Theoretical models…

Molecular Networks · Quantitative Biology 2011-09-12 Tom Michoel , Anagha Joshi , Bruno Nachtergaele , Yves Van de Peer

A determinant property of the structure of a biological network is the distribution of local connectivity patterns, i.e., network motifs. In this work, a method for creating directed, unweighted networks while promoting a certain…

Social and Information Networks · Computer Science 2016-07-29 Tuomo Mäki-Marttunen

We study complex networks in which the nodes of the network are tagged with different colors depending on the functionality of the nodes (colored graphs), using information theory applied to the distribution of motifs in such networks. We…

Quantitative Methods · Quantitative Biology 2011-11-08 Christoph Adami , Jifeng Qian , Matthew Rupp , Arend Hintze

This work considers the task of representation learning on the attributed relational graph (ARG). Both the nodes and edges in an ARG are associated with attributes/features allowing ARGs to encode rich structural information widely observed…

Machine Learning · Computer Science 2022-08-10 Yifei Wang , Shiyang Chen , Guobin Chen , Ethan Shurberg , Hang Liu , Pengyu Hong

Machine learning has become a crucial tool for predicting the properties of crystalline materials. However, existing methods primarily represent material information by constructing multi-edge graphs of crystal structures, often overlooking…

Machine Learning · Computer Science 2024-11-14 Chao Huang , Chunyan Chen , Ling Shi , Chen Chen

Periodic crystals repeatedly instantiate similar local coordination motifs across translated cells and chemically related structures, but current equivariant atomistic models usually encode these patterns only implicitly in dense edge…

Machine Learning · Computer Science 2026-05-14 Ryan Dong

Motif counting plays a crucial role in understanding the structural properties of networks. By computing motif frequencies, researchers can draw key insights into the structural properties of the underlying network. As networks become…

Social and Information Networks · Computer Science 2025-03-26 Haozhe Yin , Kai Wang , Wenjie Zhang , Yizhang He , Ying Zhang , Xuemin Lin

The use of machine learning methods for accelerating the design of crystalline materials usually requires manually constructed feature vectors or complex transformation of atom coordinates to input the crystal structure, which either…

Materials Science · Physics 2018-04-10 Tian Xie , Jeffrey C. Grossman

Network motifs can capture basic interaction patterns and inform the functional properties of networks. However, real-world complex systems often have multiple types of relationships, which cannot be represented by a monolayer network. The…

Physics and Society · Physics 2019-03-06 Lu Zhong , Qingpeng Zhang , Dong Yang , Guanrong Chen , Shi Yu

Materials property predictions have improved from advances in machine learning algorithms, delivering materials discoveries and novel insights through data-driven models of structure-property relationships. Nearly all available models rely…

Materials Science · Physics 2022-04-13 Yiqun Wang , Xiao-Jie Zhang , Fei Xia , Elsa A. Olivetti , Ram Seshadri , James M. Rondinelli

Physical and functional constraints on biological networks lead to complex topological patterns across multiple scales in their organization. A particular type of higher-order network feature that has received considerable interest is…

Quantitative Methods · Quantitative Biology 2024-10-15 Alexis Bénichou , Jean-Baptiste Masson , Christian L. Vestergaard

In the last decade, network science has shed new light both on the structural (anatomical) and on the functional (correlations in the activity) connectivity among the different areas of the human brain. The analysis of brain networks has…

Physics and Society · Physics 2017-04-18 Federico Battiston , Vincenzo Nicosia , Mario Chavez , Vito Latora

One of the holy grails of materials science, unlocking structure-property relationships, has largely been pursued via bottom-up investigations of how the arrangement of atoms and interatomic bonding in a material determine its macroscopic…

Materials Science · Physics 2022-11-08 Vinay I. Hegde , Muratahan Aykol , Scott Kirklin , Chris Wolverton

In this paper, a new data-driven multiscale material modeling method, which we refer to as deep material network, is developed based on mechanistic homogenization theory of representative volume element (RVE) and advanced machine learning…

Computational Engineering, Finance, and Science · Computer Science 2019-01-04 Zeliang Liu , C. T. Wu , M. Koishi
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