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Related papers: Scalable Generative Modeling of Weighted Graphs

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While network science has become an indispensable tool for studying complex systems, the conventional use of pairwise links often shows limitations in describing high-order interactions properly. Hypergraphs, where each edge can connect…

Physics and Society · Physics 2024-12-20 Zhao Li , Jing Zhang , Jiqiang Zhang , Guozhong Zheng , Weiran Cai , Li Chen

As the popularity of graph data increases, there is a growing need to count the occurrences of subgraph patterns of interest, for a variety of applications. Many graphs are massive in scale and also fully dynamic (with insertions and…

Databases · Computer Science 2022-11-15 Kaixin Wang , Cheng Long , Da Yan , Jie Zhang , H. V. Jagadish

In this paper we introduce TWIG (Topologically-Weighted Intelligence Generation), a novel, embedding-free paradigm for simulating the output of KGEs that uses a tiny fraction of the parameters. TWIG learns weights from inputs that consist…

Artificial Intelligence · Computer Science 2024-02-12 Jeffrey Sardina , John D. Kelleher , Declan O'Sullivan

Graph generative models have broad applications in biology, chemistry and social science. However, modelling and understanding the generative process of graphs is challenging due to the discrete and high-dimensional nature of graphs, as…

Machine Learning · Computer Science 2022-12-06 Han Huang , Leilei Sun , Bowen Du , Yanjie Fu , Weifeng Lv

Dynamic graphs with ordered sequences of events between nodes are prevalent in real-world industrial applications such as e-commerce and social platforms. However, representation learning for dynamic graphs has posed great computational…

Machine Learning · Computer Science 2021-12-16 Xinshi Chen , Yan Zhu , Haowen Xu , Mengyang Liu , Liang Xiong , Muhan Zhang , Le Song

We consider the problem of finding edges of a hidden weighted graph using a certain type of queries. Let $G$ be a weighted graph with $n$ vertices. In the most general setting, the $n$ vertices are known and no other information about $G$…

Combinatorics · Mathematics 2012-01-19 Jeong Han Kim

Random graph models are frequently used as a controllable and versatile data source for experimental campaigns in various research fields. Generating such data-sets at scale is a non-trivial task as it requires design decisions typically…

Data Structures and Algorithms · Computer Science 2020-03-03 Manuel Penschuck , Ulrik Brandes , Michael Hamann , Sebastian Lamm , Ulrich Meyer , Ilya Safro , Peter Sanders , Christian Schulz

Deploying graph neural networks (GNNs) on whole-graph classification or regression tasks is known to be challenging: it often requires computing node features that are mindful of both local interactions in their neighbourhood and the global…

Machine Learning · Computer Science 2022-12-22 Andreea Deac , Marc Lackenby , Petar Veličković

A new modelling approach for the analysis of weighted networks with ordinal/polytomous dyadic values is introduced. Specifically, it is proposed to model the weighted network connectivity structure using a hierarchical multilayer…

Methodology · Statistics 2019-08-05 Alberto Caimo , Isabella Gollini

Large graphs are present in a variety of domains, including social networks, civil infrastructure, and the physical sciences to name a few. Graph generation is similarly widespread, with applications in drug discovery, network analysis and…

Machine Learning · Computer Science 2023-11-08 Alex O. Davies , Nirav S. Ajmeri , Telmo M. Silva Filho

A random graph model with prescribed degree distribution and degree dependent edge weights is introduced. Each vertex is independently equipped with a random number of half-edges and each half-edge is assigned an integer valued weight…

Probability · Mathematics 2015-05-28 Tom Britton , Maria Deijfen , Fredrik Liljeros

We propose an extension of the Contextual Graph Markov Model, a deep and probabilistic machine learning model for graphs, to model the distribution of edge features. Our approach is architectural, as we introduce an additional Bayesian…

Machine Learning · Computer Science 2023-08-21 Daniele Atzeni , Federico Errica , Davide Bacciu , Alessio Micheli

It is challenging for generative models to learn a distribution over graphs because of the lack of permutation invariance: nodes may be ordered arbitrarily across graphs, and standard graph alignment is combinatorial and notoriously…

Social and Information Networks · Computer Science 2023-01-27 Kimia Shayestehfard , Dana Brooks , Stratis Ioannidis

There has been a recent surge in learning generative models for graphs. While impressive progress has been made on static graphs, work on generative modeling of temporal graphs is at a nascent stage with significant scope for improvement.…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Sahil Manchanda , Srikanta Bedathur , Sayan Ranu

Representation learning in dynamic graphs is a challenging problem because the topology of graph and node features vary at different time. This requires the model to be able to effectively capture both graph topology information and…

Machine Learning · Computer Science 2021-11-16 Xintao Xiang , Tiancheng Huang , Donglin Wang

Data defined over a network have been successfully modelled by means of graph filters. However, although in many scenarios the connectivity of the network is known, e.g., smart grids, social networks, etc., the lack of well-defined…

Signal Processing · Electrical Eng. & Systems 2020-07-08 Alberto Natali , Mario Coutino , Geert Leus

Across the sciences, the statistical analysis of networks is central to the production of knowledge on relational phenomena. Because of their ability to model the structural generation of networks, exponential random graph models are a…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Bruce A. Desmarais , Skyler J. Cranmer

Generative network models play an important role in algorithm development, scaling studies, network analysis, and realistic system benchmarks for graph data sets. The commonly used graph-based benchmark model R-MAT has some drawbacks…

Data Structures and Algorithms · Computer Science 2016-07-01 Moritz von Looz , Mustafa Özdayi , Sören Laue , Henning Meyerhenke

Timestamped relational datasets consisting of records between pairs of entities are ubiquitous in data and network science. For applications like peer-to-peer communication, email, social network interactions, and computer network security,…

Data Structures and Algorithms · Computer Science 2023-11-20 Michael Ostroski , Geoffrey Sanders , Trevor Steil , Roger Pearce

Inferring temporal interaction graphs and higher-order structure from neural signals is a key problem in building generative models for systems neuroscience. Foundation models for large-scale neural data represent shared latent structures…

Machine Learning · Computer Science 2025-08-26 Nathan X. Kodama , Kenneth A. Loparo