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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

We propose a hierarchical normalizing flow model for generating molecular graphs. The model produces new molecular structures from a single-node graph by recursively splitting every node into two. All operations are invertible and can be…

Chemical Physics · Physics 2021-06-11 Maksim Kuznetsov , Daniil Polykovskiy

Discovering the underlying structures present in large real world graphs is a fundamental scientific problem. In this paper we show that a graph's clique tree can be used to extract a hyperedge replacement grammar. If we store an ordering…

Social and Information Networks · Computer Science 2016-08-11 Salvador Aguiñaga , Rodrigo Palacios , David Chiang , Tim Weninger

Despite the remarkable success of generative adversarial networks, their performance seems less impressive for diverse training sets, requiring learning of discontinuous mapping functions. Though multi-mode prior or multi-generator models…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Jogendra Nath Kundu , Maharshi Gor , Dakshit Agrawal , R. Venkatesh Babu

We investigate the problem of multiplex graph embedding, that is, graphs in which nodes interact through multiple types of relations (dimensions). In recent years, several methods have been developed to address this problem. However, the…

Machine Learning · Computer Science 2023-12-29 Kamel Abdous , Nairouz Mrabah , Mohamed Bouguessa

We propose a new generative model for layout generation. We generate layouts in three steps. First, we generate the layout elements as nodes in a layout graph. Second, we compute constraints between layout elements as edges in the layout…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Wamiq Para , Paul Guerrero , Tom Kelly , Leonidas Guibas , Peter Wonka

Graph learning has become essential in various domains, including recommendation systems and social network analysis. Graph Neural Networks (GNNs) have emerged as promising techniques for encoding structural information and improving…

Machine Learning · Computer Science 2024-10-10 Lianghao Xia , Ben Kao , Chao Huang

Constructing a spanning tree of a graph is one of the most basic tasks in graph theory. We consider a relaxed version of this problem in the setting of local algorithms. The relaxation is that the constructed subgraph is a sparse spanning…

Data Structures and Algorithms · Computer Science 2021-04-28 Reut Levi , Dana Ron , Ronitt Rubinfeld

Graphs are a fundamental abstraction for modeling relational data. However, graphs are discrete and combinatorial in nature, and learning representations suitable for machine learning tasks poses statistical and computational challenges. In…

Machine Learning · Statistics 2019-05-16 Aditya Grover , Aaron Zweig , Stefano Ermon

Large scale-free graphs are famously difficult to process efficiently: the skewed vertex degree distribution makes it difficult to obtain balanced partitioning. Our research instead aims to turn this into an advantage by partitioning the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-05 Scott Sallinen , Abdullah Gharaibeh , Matei Ripeanu

Graph generative modelling has become an essential task due to the wide range of applications in chemistry, biology, social networks, and knowledge representation. In this work, we propose a novel framework for generating graphs by adapting…

Machine Learning · Statistics 2026-02-04 Anthony Stephenson , Ian Gallagher , Christopher Nemeth

Graph Neural Networks (GNNs) have emerged as powerful tools for supervised machine learning over graph-structured data, while sampling-based node representation learning is widely utilized in unsupervised learning. However, scalability…

Machine Learning · Computer Science 2024-07-23 Vipul Gupta , Xin Chen , Ruoyun Huang , Fanlong Meng , Jianjun Chen , Yujun Yan

Graph representation learning has recently been applied to a broad spectrum of problems ranging from computer graphics and chemistry to high energy physics and social media. The popularity of graph neural networks has sparked interest, both…

Machine Learning · Computer Science 2020-11-05 Fabrizio Frasca , Emanuele Rossi , Davide Eynard , Ben Chamberlain , Michael Bronstein , Federico Monti

In this paper, we propose the first framework that enables solving graph learning tasks of all levels (node, edge and graph) and all types (generation, regression and classification) using one formulation. We first formulate prediction…

Machine Learning · Computer Science 2024-11-01 Cai Zhou , Xiyuan Wang , Muhan Zhang

In this paper, we propose Continuous Graph Flow, a generative continuous flow based method that aims to model complex distributions of graph-structured data. Once learned, the model can be applied to an arbitrary graph, defining a…

Machine Learning · Computer Science 2019-10-01 Zhiwei Deng , Megha Nawhal , Lili Meng , Greg Mori

The interactions between the components of complex networks are often directed. Proper modeling of such systems frequently requires the construction of ensembles of digraphs with a given sequence of in- and out-degrees. As the number of…

Physics and Society · Physics 2015-05-30 H. Kim , C. I. Del Genio , K. E. Bassler , Z. Toroczkai

Semi-random processes involve an adaptive decision-maker, whose goal is to achieve some predetermined objective in an online randomized environment. They have algorithmic implications in various areas of computer science, as well as…

Combinatorics · Mathematics 2020-09-29 Omri Ben-Eliezer , Lior Gishboliner , Dan Hefetz , Michael Krivelevich

The real world exhibits rich structure and detail across many scales of observation. It is difficult, however, to capture and represent a broad spectrum of scales using ordinary images. We devise a novel paradigm for learning a…

There have been tremendous efforts over the past decades dedicated to the generation of realistic graphs in a variety of domains, ranging from social networks to computer networks, from gene regulatory networks to online transaction…

Machine Learning · Computer Science 2023-12-19 Lecheng Zheng , Dawei Zhou , Hanghang Tong , Jiejun Xu , Yada Zhu , Jingrui He

Graph generation is a fundamental problem in various domains, including chemistry and social networks. Recent work has shown that molecular graph generation using recurrent neural networks (RNNs) is advantageous compared to traditional…

Social and Information Networks · Computer Science 2024-02-07 Edo Cohen-Karlik , Eyal Rozenberg , Daniel Freedman