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We present a novel and hierarchical approach for supervised classification of signals spanning over a fixed graph, reflecting shared properties of the dataset. To this end, we introduce a Convolutional Cluster Pooling layer exploiting a…

Machine Learning · Computer Science 2019-02-14 Angelo Porrello , Davide Abati , Simone Calderara , Rita Cucchiara

Convolutional neural networks (CNNs) are one of the most successful computer vision systems to solve object recognition. Furthermore, CNNs have major applications in understanding the nature of visual representations in the human brain. Yet…

Computer Vision and Pattern Recognition · Computer Science 2022-12-13 Amr Farahat , Felix Effenberger , Martin Vinck

Nanoscale L12-type ordered structures are widely used in face-centred cubic (FCC) alloys to exploit their hardening capacity and thereby improve mechanical properties. These fine-scale particles are typically fully coherent with matrix with…

Coarse-grained (CG) modeling simplifies molecular systems by mapping groups of atoms into representative units. However, traditional CG approaches rely on fixed mapping rules, which limit their ability to handle diverse chemical systems and…

Computational Physics · Physics 2025-09-26 Zhixuan Zhong , Linbo Ma , Jian Jiang

Advancements in neural machinery have led to a wide range of algorithmic solutions for molecular property prediction. Two classes of models in particular have yielded promising results: neural networks applied to computed molecular…

Polymer nanocomposites (PNCs) offer a broad range of thermophysical properties that are linked to their compositions. However, it is challenging to establish a universal composition-property relation of PNCs due to their enormous…

Materials Science · Physics 2022-08-25 Kumar Ayush , Abhishek Seth , Tarak K Patra

Surface structure affects the growth, shape and properties of nanoparticles. In wet chemical syntheses, metal additives and surfactants are used to modify surfaces and guide nanocrystal growth. To understand this process, it is critical to…

Four-dimensional scanning transmission electron microscopy (4D-STEM) enables mapping of diffraction information with nanometer-scale spatial resolution, offering detailed insight into local structure, orientation, and strain. However, as…

The structure of defect clusters formed in a displacement cascade plays a significant role in the micro-structural evolution during irradiation. Molecular dynamics simulations have been widely used to study collision cascades and subsequent…

Computational Physics · Physics 2024-02-02 Utkarsh Bhardwaj , Andrea E. Sand , Manoj Warrier

The behaviour and functioning of a variety of complex physical and biological systems depend on the spatial organisation of their constituent units, and on the presence and formation of clusters of functionally similar or related…

Physics and Society · Physics 2023-08-16 Silvia Rognone , Vincenzo Nicosia

We derive an efficient method to perform clustering of nodes in Gaussian graphical models directly from sample data. Nodes are clustered based on the similarity of their network neighborhoods, with edge weights defined by partial…

Machine Learning · Computer Science 2019-10-08 Keith Dillon

Complex networks have been widely used in science and technology because of their ability to represent several systems. One of these systems is found in Biochemistry, in which the synthesis of new nanoparticles is a hot topic. However, the…

Machine learning algorithms have been available since the 1990s, but it is much more recently that they have come into use also in the physical sciences. While these algorithms have already proven to be useful in uncovering new properties…

Computational Physics · Physics 2020-05-13 Higor Y. D. Sigaki , Ervin K. Lenzi , Rafael S. Zola , Matjaz Perc , Haroldo V. Ribeiro

We study the problem of clustering nodes in a dynamic graph, where the connections between nodes and nodes' cluster memberships may change over time, e.g., due to community migration. We first propose a dynamic stochastic block model that…

Machine Learning · Computer Science 2021-06-24 Yuhang Yao , Carlee Joe-Wong

Designing a neural network architecture for molecular representation is crucial for AI-driven drug discovery and molecule design. In this work, we propose a new framework for molecular representation learning. Our contribution is threefold:…

Machine Learning · Computer Science 2022-10-18 Jiye Kim , Seungbeom Lee , Dongwoo Kim , Sungsoo Ahn , Jaesik Park

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

Social and Information Networks · Computer Science 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a…

Geometric Topology · Mathematics 2012-06-06 Jesse Johnson

While nanoalloys are of paramount scientific and practical interests, the main processes leading to their formation are still poorly understood. Key structural features in the alloy systems, including crystal phase, chemical ordering, and…

Graph neural networks (GNN) has been demonstrated to be effective in classifying graph structures. To further improve the graph representation learning ability, hierarchical GNN has been explored. It leverages the differentiable pooling to…

Social and Information Networks · Computer Science 2019-12-19 Kaixiong Zhou , Qingquan Song , Xiao Huang , Daochen Zha , Na Zou , Xia Hu

Possible crystalline modifications of chemical compounds at low temperatures correspond to local minima of the energy landscape. Determining these minima via simulated annealing is one method for the prediction of crystal structures, where…

Materials Science · Physics 2008-10-31 K. Doll , J. C. Schoen , M. Jansen