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Graphs are a representation of structured data that captures the relationships between sets of objects. With the ubiquity of available network data, there is increasing industrial and academic need to quickly analyze graphs with billions of…

Machine Learning · Computer Science 2023-07-28 Brandon Mayer , Anton Tsitsulin , Hendrik Fichtenberger , Jonathan Halcrow , Bryan Perozzi

Hypergraphs generalize classical graphs by allowing a single edge to connect multiple vertices, providing a natural language for modeling higher-order interactions. Superhypergraphs extend this paradigm further by accommodating nested,…

Artificial Intelligence · Computer Science 2026-03-03 Takaaki Fujita , Florentin Smarandache

Social relations are often used to improve recommendation quality when user-item interaction data is sparse in recommender systems. Most existing social recommendation models exploit pairwise relations to mine potential user preferences.…

Information Retrieval · Computer Science 2022-03-01 Junliang Yu , Hongzhi Yin , Jundong Li , Qinyong Wang , Nguyen Quoc Viet Hung , Xiangliang Zhang

Hypergraphs have emerged as a powerful modeling framework to represent systems with multiway interactions, that is systems where interactions may involve an arbitrary number of agents. Here we explore the properties of real-world…

Social and Information Networks · Computer Science 2023-07-11 Timothy LaRock , Renaud Lambiotte

Hypergraphs are vital in modelling data with higher-order relations containing more than two entities, gaining prominence in machine learning and signal processing. Many hypergraph neural networks leverage message passing over hypergraph…

Machine Learning · Computer Science 2025-08-09 Bohan Tang , Siheng Chen , Xiaowen Dong

Transformers have demonstrated success in graph learning, particularly for node-level tasks. However, existing methods encounter an information bottleneck when generating graph-level representations. The prevalent single token paradigm…

Machine Learning · Computer Science 2026-02-11 Ruixiang Wang , Yuyang Hong , Shiming Xiang , Chunhong Pan

Researchers have relegated natural language processing tasks to Transformer-type models, particularly generative models, because these models exhibit high versatility when performing generation and classification tasks. As the size of these…

Computation and Language · Computer Science 2025-04-04 Fabio Yáñez-Romero , Andrés Montoyo , Armando Suárez , Yoan Gutiérrez , Ruslan Mitkov

Recent works on machine learning for combinatorial optimization have shown that learning based approaches can outperform heuristic methods in terms of speed and performance. In this paper, we consider the problem of finding an optimal…

Given the success of Graph Neural Networks (GNNs) for structure-aware machine learning, many studies have explored their use for text classification, but mostly in specific domains with limited data characteristics. Moreover, some…

Computation and Language · Computer Science 2024-01-23 Margarita Bugueño , Gerard de Melo

Recently, Transformer model, which has achieved great success in many artificial intelligence fields, has demonstrated its great potential in modeling graph-structured data. Till now, a great variety of Transformers has been proposed to…

Machine Learning · Computer Science 2022-02-18 Erxue Min , Runfa Chen , Yatao Bian , Tingyang Xu , Kangfei Zhao , Wenbing Huang , Peilin Zhao , Junzhou Huang , Sophia Ananiadou , Yu Rong

Graph neural networks (GNNs) have shown advantages in graph-based analysis tasks. However, most existing methods have the homogeneity assumption and show poor performance on heterophilic graphs, where the linked nodes have dissimilar…

Machine Learning · Computer Science 2024-04-16 Tianhao Peng , Wenjun Wu , Haitao Yuan , Zhifeng Bao , Zhao Pengrui , Xin Yu , Xuetao Lin , Yu Liang , Yanjun Pu

Recently, the deep learning community has given growing attention to neural architectures engineered to learn problems in relational domains. Convolutional Neural Networks employ parameter sharing over the image domain, tying the weights of…

Machine Learning · Computer Science 2019-02-26 Marcelo O. R. Prates , Pedro H. C. Avelar , Henrique Lemos , Marco Gori , Luis Lamb

Graph representation learning is a fast-growing field where one of the main objectives is to generate meaningful representations of graphs in lower-dimensional spaces. The learned embeddings have been successfully applied to perform various…

Machine Learning · Computer Science 2021-12-21 Md. Khaledur Rahman , Ariful Azad

Hypergraphs allow one to encode higher-order relationships in data and are thus a very flexible modeling tool. Current learning methods are either based on approximations of the hypergraphs via graphs or on tensor methods which are only…

Machine Learning · Statistics 2013-12-19 Matthias Hein , Simon Setzer , Leonardo Jost , Syama Sundar Rangapuram

This paper develops a general framework for learning interpretable data representation via Long Short-Term Memory (LSTM) recurrent neural networks over hierarchal graph structures. Instead of learning LSTM models over the pre-fixed…

Computer Vision and Pattern Recognition · Computer Science 2017-03-10 Xiaodan Liang , Liang Lin , Xiaohui Shen , Jiashi Feng , Shuicheng Yan , Eric P. Xing

Graph representations of solid state materials that encode only interatomic distance lack geometrical resolution, resulting in degenerate representations that may map distinct structures to equivalent graphs. Here we propose a hypergraph…

Materials Science · Physics 2024-11-20 Alexander J. Heilman , Weiyi Gong , Qimin Yan

An essential goal in mechanistic interpretability to decode a network, i.e., to convert a neural network's raw weights to an interpretable algorithm. Given the difficulty of the decoding problem, progress has been made to understand the…

Machine Learning · Computer Science 2023-12-07 Isaac Liao , Ziming Liu , Max Tegmark

Hypergraphs are structures that can be decomposed or described; in other words they are recursively countable. Here, we get exact and asymptotic enumeration results on hypergraphs by means of exponential generating functions. The number of…

Discrete Mathematics · Computer Science 2008-06-20 Tsiriniaina Andriamampianina

Large Language Models (LLMs) have achieved remarkable success across various domains. However, they still face significant challenges, including high computational costs for training and limitations in solving complex reasoning problems.…

Machine Learning · Computer Science 2025-05-20 Hang Gao , Chenhao Zhang , Tie Wang , Junsuo Zhao , Fengge Wu , Changwen Zheng , Huaping Liu

Hypergraphs are used to model higher-order interactions amongst agents and there exist many practically relevant instances of hypergraph datasets. To enable efficient processing of hypergraph-structured data, several hypergraph neural…

Machine Learning · Computer Science 2022-03-29 Eli Chien , Chao Pan , Jianhao Peng , Olgica Milenkovic