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This work examines the problem of graph learning over a diffusion network when data can be collected from a limited portion of the network (partial observability). The main question is to establish technical guarantees of consistent…

Statistics Theory · Mathematics 2020-06-08 Vincenzo Matta , Augusto Santos , Ali H. Sayed

In recent years, Graph Neural Networks (GNNs) have made significant advances in processing structured data. However, most of them primarily adopted a model-centric approach, which simplifies graphs by converting them into undirected formats…

Machine Learning · Computer Science 2024-12-12 Henan Sun , Xunkai Li , Daohan Su , Junyi Han , Rong-Hua Li , Guoren Wang

Graph-structured data, prevalent in domains ranging from social networks to biochemical analysis, serve as the foundation for diverse real-world systems. While graph neural networks demonstrate proficiency in modeling this type of data,…

Machine Learning · Computer Science 2024-06-21 Wei Ju , Siyu Yi , Yifan Wang , Qingqing Long , Junyu Luo , Zhiping Xiao , Ming Zhang

Graph-based neural network models are producing strong results in a number of domains, in part because graphs provide flexibility to encode domain knowledge in the form of relational structure (edges) between nodes in the graph. In…

Machine Learning · Computer Science 2020-11-09 Daniel D. Johnson , Hugo Larochelle , Daniel Tarlow

We compute the joint large deviation rate functional in the limit of large time for the current flowing through the edges of a finite graph on which a boundary-driven system of stochastic particles evolves with zero-range dynamics.This…

Statistical Mechanics · Physics 2025-12-15 Davide Gabrielli , Rosemary J. Harris

Graph minors are a primary tool in understanding the structure of undirected graphs, with many conceptual and algorithmic implications. We propose new variants of \emph{directed graph minors} and \emph{directed graph embeddings}, by…

Discrete Mathematics · Computer Science 2019-05-30 Argyrios Deligkas , Reshef Meir

Complex spatial dependencies in transportation networks make traffic prediction extremely challenging. Much existing work is devoted to learning dynamic graph structures among sensors, and the strategy of mining spatial dependencies from…

Machine Learning · Computer Science 2023-12-20 Yujie Li , Zezhi Shao , Yongjun Xu , Qiang Qiu , Zhaogang Cao , Fei Wang

Recent years have witnessed the impressive progress in Neural Dependency Parsing. According to the different factorization approaches to the graph joint probabilities, existing parsers can be roughly divided into autoregressive and…

Computation and Language · Computer Science 2023-06-22 Ye Ma , Mingming Sun , Ping Li

Graph representation learning has many real-world applications, from super-resolution imaging, 3D computer vision to drug repurposing, protein classification, social networks analysis. An adequate representation of graph data is vital to…

Machine Learning · Computer Science 2021-12-17 Xuebin Zheng , Bingxin Zhou , Yu Guang Wang , Xiaosheng Zhuang

We present a comprehensive study of graphical log-linear models for contingency tables. High dimensional contingency tables arise in many areas such as computational biology, collection of survey and census data and others. Analysis of…

Methodology · Statistics 2016-03-15 Niharika Gauraha

The generalized fault diagram, a data structure for failure analysis based on the influence diagram, is defined. Unlike the fault tree, this structure allows for dependence among the basic events and replicated logical elements. A heuristic…

Artificial Intelligence · Computer Science 2013-04-11 Ross D. Shachter , Leonard Bertrand

The graph fractional Fourier transform (GFRFT) applies a single global fractional order to all graph frequencies, which restricts its adaptability to diverse signal characteristics across the spectral domain. To address this limitation, in…

Signal Processing · Electrical Eng. & Systems 2025-08-01 Manjun Cui , Zhichao Zhang , Wei Yao

Random graphs are more and more used for modeling real world networks such as evolutionary networks of proteins. For this purpose we look at two different models and analyze how properties like connectedness and degree distributions are…

Probability · Mathematics 2019-02-05 Klemens Taglieber , Uta Freiberg

Graph neural networks are deep neural networks designed for graphs with attributes attached to nodes or edges. The number of research papers in the literature concerning these models is growing rapidly due to their impressive performance on…

Machine Learning · Computer Science 2024-12-30 James H. Tanis , Chris Giannella , Adrian V. Mariano

This work introduces a novel algorithm for finding the connected components of a graph where the vertices and edges are grouped into sets defining a Set--Based Graph. The algorithm, under certain restrictions on those sets, has the…

Data Structures and Algorithms · Computer Science 2020-11-30 Ernesto Kofman , Denise Marzorati , Joaquín Fernández

The in-memory graph layout or organization has a considerable impact on the time and energy efficiency of distributed memory graph computations. It affects memory locality, inter-task load balance, communication time, and overall memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-04 George M Slota , Sivasankaran Rajamanickam , Kamesh Madduri

Relational databases are extensively utilized in a variety of modern information system applications, and they always carry valuable data patterns. There are a huge number of data mining or machine learning tasks conducted on relational…

Machine Learning · Computer Science 2023-12-05 Han Zhang , Quan Gan , David Wipf , Weinan Zhang

Modern FPGAs continue to increase in capacity which requires more memory to run the CAD flow. The routing resource graph, which is needed by the detailed router, is a memory hungry data structure which describes all of the physical…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-13 Andrew Kennings

Lots of neural network architectures have been proposed to deal with learning tasks on graph-structured data. However, most of these models concentrate on only node features during the learning process. The edge features, which usually play…

Machine Learning · Computer Science 2021-01-20 Jun Chen , Haopeng Chen

Structural and topological information play a key role in modeling flow and transport through fractured rock in the subsurface. Discrete fracture network (DFN) computational suites such as dfnWorks are designed to simulate flow and…