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Related papers: Structure induction by lossless graph compression

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In recent years, there have been intense research efforts to develop efficient methods for probabilistic inference in probabilistic influence diagrams or belief networks. Many people have concluded that the best methods are those based on…

Artificial Intelligence · Computer Science 2013-04-05 Ross D. Shachter , Stig K. Andersen , Kim-Leng Poh

Network embedding has attracted an increasing attention over the past few years. As an effective approach to solve graph mining problems, network embedding aims to learn a low-dimensional feature vector representation for each node of a…

Social and Information Networks · Computer Science 2020-08-10 Xiao Shen , Fu-Lai Chung

Recent efforts leverage Large Language Models (LLMs) for modeling text-attributed graph structures in node classification tasks. These approaches describe graph structures for LLMs to understand or aggregate LLM-generated textual attribute…

Computation and Language · Computer Science 2025-05-27 Huachi Zhou , Jiahe Du , Chuang Zhou , Chang Yang , Yilin Xiao , Yuxuan Xie , Xiao Huang

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

Existing deep learning models may encounter great challenges in handling graph structured data. In this paper, we introduce a new deep learning model for graph data specifically, namely the deep loopy neural network. Significantly different…

Machine Learning · Computer Science 2019-09-06 Jiawei Zhang

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

Many modern applications involve accessing and processing graphical data, i.e. data that is naturally indexed by graphs. Examples come from internet graphs, social networks, genomics and proteomics, and other sources. The typically large…

Information Theory · Computer Science 2023-01-18 Payam Delgosha , Venkat Anantharam

The girth of a graph is the length of its shortest cycle. Due to its relevance in graph theory, network analysis and practical fields such as distributed computing, girth-related problems have been object of attention in both past and…

Data Structures and Algorithms · Computer Science 2018-09-21 Kazuhiro Kurita , Kunihiro Wasa , Alessio Conte , Hiroki Arimura , Takeaki Uno

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

In deep neural networks, better results can often be obtained by increasing the complexity of previously developed basic models. However, it is unclear whether there is a way to boost performance by decreasing the complexity of such models.…

Machine Learning · Computer Science 2021-09-07 Junran Wu , Jianhao Li , Yicheng Pan , Ke Xu

In this paper, we present a novel data structure, called the Mixture Graph. This data structure allows us to compress, render, and query segmentation histograms. Such histograms arise when building a mipmap of a volume containing…

Graphics · Computer Science 2020-09-08 Khaled Al-Thelaya , Marco Agus , Jens Schneider

Graph summarization via node grouping is a popular method to build concise graph representations by grouping nodes from the original graph into supernodes and encoding edges into superedges such that the loss of adjacency information is…

Social and Information Networks · Computer Science 2022-11-09 Arpit Merchant , Michael Mathioudakis , Yanhao Wang

Graph kernels are kernel methods measuring graph similarity and serve as a standard tool for graph classification. However, the use of kernel methods for node classification, which is a related problem to graph representation learning, is…

Machine Learning · Computer Science 2019-10-08 Yu Tian , Long Zhao , Xi Peng , Dimitris N. Metaxas

Biological processes underlying the basic functions of a cell involve complex interactions between genes. From a technical point of view, these interactions can be represented through a graph where genes and their connections are,…

Methodology · Statistics 2020-11-24 Thi Kim Hue Nguyen , Monica Chiogna

Graph neural networks (GNNs) are deep learning models designed specifically for graph data, and they typically rely on node features as the input to the first layer. When applying such a type of network on the graph without node features,…

Graph transformations definable in logic can be described using the notion of transductions. By understanding transductions as a basic embedding mechanism, which captures the possibility of encoding one graph in another graph by means of…

Combinatorics · Mathematics 2025-01-09 Michał Pilipczuk

Graph generation plays a pivotal role across numerous domains, including molecular design and knowledge graph construction. Although existing methods achieve considerable success in generating realistic graphs, their interpretability…

Machine Learning · Computer Science 2025-07-18 Yuanxin Zhuang , Dazhong Shen , Ying Sun

Graph Neural Networks (GNNs) have achieved great success among various domains. Nevertheless, most GNN methods are sensitive to the quality of graph structures. To tackle this problem, some studies exploit different graph structure learning…

Machine Learning · Computer Science 2021-08-11 Liping Wang , Fenyu Hu , Shu Wu , Liang Wang

Graphs are fundamental objects that find widespread applications across computer science and beyond. Graph Theory has yielded deep insights about structural properties of various families of graphs, which are leveraged in the design and…

Data Structures and Algorithms · Computer Science 2023-08-30 Rachit Nimavat

We introduce a categorical formalism for rewriting surface-embedded graphs. Such graphs can represent string diagrams in a non-symmetric setting where we guarantee that the wires do not intersect each other. The main technical novelty is a…

Logic in Computer Science · Computer Science 2023-08-01 Malin Altenmüller , Ross Duncan