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Hypergraphs are a generalization of graphs in which edges can connect any number of vertices. They allow the modeling of complex networks with higher-order interactions, and their spectral theory studies the qualitative properties that can…

Combinatorics · Mathematics 2021-12-01 Raffaella Mulas

The problem of accelerating drug discovery relies heavily on automatic tools to optimize precursor molecules to afford them with better biochemical properties. Our work in this paper substantially extends prior state-of-the-art on…

Chemical Physics · Physics 2019-10-22 Wengong Jin , Regina Barzilay , Tommi Jaakkola

Graph Convolutional Network (GCN) has achieved extraordinary success in learning effective task-specific representations of nodes in graphs. However, regarding Heterogeneous Information Network (HIN), existing HIN-oriented GCN methods still…

Machine Learning · Computer Science 2021-09-09 Yaming Yang , Ziyu Guan , Jianxin Li , Wei Zhao , Jiangtao Cui , Quan Wang

Hypergraphs offer a generalized framework for capturing high-order relationships between entities and have been widely applied in various domains, including healthcare, social networks, and bioinformatics. Hypergraph neural networks, which…

Machine Learning · Computer Science 2025-12-03 Akash Choudhuri , Yongjian Zhong , Bijaya Adhikari

With higher-order neighborhood information of graph network, the accuracy of graph representation learning classification can be significantly improved. However, the current higher order graph convolutional network has a large number of…

Machine Learning · Computer Science 2019-08-05 FangYuan Lei , Xun Liu , QingYun Dai , Bingo Wing-Kuen Ling , Huimin Zhao , Yan Liu

Hypergraph is a powerful representation in several computer vision, machine learning and pattern recognition problems. In the last decade, many researchers have been keen to develop different hypergraph models. In contrast, no much…

Computer Vision and Pattern Recognition · Computer Science 2014-10-27 Sheng Huang , Ahmed Elgammal , Dan Yang

Finding inherent or processed links within a dataset allows to discover potential knowledge. The main contribution of this article is to define a global framework that enables optimal knowledge discovery by visually rendering co-occurences…

Social and Information Networks · Computer Science 2018-09-05 Xavier Ouvrard , Jean-Marie Le Goff , Stephane Marchand-Maillet

In recent years hypergraphs have emerged as a powerful tool to study systems with multi-body interactions which cannot be trivially reduced to pairs. While highly structured methods to generate synthetic data have proved fundamental for the…

Social and Information Networks · Computer Science 2024-10-10 Nicolò Ruggeri , Federico Battiston , Caterina De Bacco

Hyperdimensional (HD) computing is a set of neurally inspired methods for obtaining high-dimensional, low-precision, distributed representations of data. These representations can be combined with simple, neurally plausible algorithms to…

Machine Learning · Computer Science 2022-02-21 Anthony Thomas , Sanjoy Dasgupta , Tajana Rosing

Graph Convolutional Networks (GCNs) have recently become the primary choice for learning from graph-structured data, superseding hash fingerprints in representing chemical compounds. However, GCNs lack the ability to take into account the…

Machine Learning · Computer Science 2020-07-03 Tomasz Danel , Przemysław Spurek , Jacek Tabor , Marek Śmieja , Łukasz Struski , Agnieszka Słowik , Łukasz Maziarka

Complex systems frequently exhibit multi-way, rather than pairwise, interactions. These group interactions cannot be faithfully modeled as collections of pairwise interactions using graphs and instead require hypergraphs. However, methods…

Discrete Mathematics · Computer Science 2024-11-25 Jason Niu , Ilya D. Amburg , Sinan G. Aksoy , Ahmet Erdem Sarıyüce

Graph neural networks have been shown to be very effective in utilizing pairwise relationships across samples. Recently, there have been several successful proposals to generalize graph neural networks to hypergraph neural networks to…

Machine Learning · Computer Science 2024-02-21 Michael Ng , Hanrui Wu , Andy Yip

Machine learning on graphs is an important and ubiquitous task with applications ranging from drug design to friendship recommendation in social networks. The primary challenge in this domain is finding a way to represent, or encode, graph…

Social and Information Networks · Computer Science 2018-04-11 William L. Hamilton , Rex Ying , Jure Leskovec

Graph are a ubiquitous data representation, as they represent a flexible and compact representation. For instance, the 3D structure of RNA can be efficiently represented as $\textit{2.5D graphs}$, graphs whose nodes are nucleotides and…

Machine Learning · Computer Science 2021-09-21 Vincent Mallet , Carlos G. Oliver , William L. Hamilton

Hypergraphs, a generalization of graphs, naturally represent groupwise relationships among multiple individuals or objects, which are common in many application areas, including web, bioinformatics, and social networks. The flexibility in…

Social and Information Networks · Computer Science 2021-04-21 Geon Lee , Minyoung Choe , Kijung Shin

Heterogeneous graphs are pervasive in practical scenarios, where each graph consists of multiple types of nodes and edges. Representation learning on heterogeneous graphs aims to obtain low-dimensional node representations that could…

Machine Learning · Computer Science 2021-01-01 Le Yu , Leilei Sun , Bowen Du , Chuanren Liu , Weifeng Lv , Hui Xiong

Recently, neural network architectures have been developed to accommodate when the data has the structure of a graph or, more generally, a hypergraph. While useful, graph structures can be potentially limiting. Hypergraph structures in…

Algebraic Topology · Mathematics 2020-12-14 Eric Bunch , Qian You , Glenn Fung , Vikas Singh

Hypergraph representation learning has garnered increasing attention across various domains due to its capability to model high-order relationships. Traditional methods often rely on hypergraph neural networks (HNNs) employing message…

Machine Learning · Computer Science 2025-03-18 Xiangfei Fang , Boying Wang , Chengying Huan , Shaonan Ma , Heng Zhang , Chen Zhao

Current image processing methods usually operate on the finest-granularity unit; that is, the pixel, which leads to challenges in terms of efficiency, robustness, and understandability in deep learning models. We present an improved…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Xia Shuyin , Dai Dawei , Yang Long , Zhany Li , Lan Danf , Zhu hao , Wang Guoy

This work is concerned with a representation of shapes that disentangles fine, local and possibly repeating geometry, from global, coarse structures. Achieving such disentanglement leads to two unrelated advantages: i) a significant…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Luca Morreale , Noam Aigerman , Paul Guerrero , Vladimir G. Kim , Niloy J. Mitra
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