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Data generation is a fundamental research problem in data management due to its diverse use cases, ranging from testing database engines to data-specific applications. However, real-world entities often involve complex interactions that…

Databases · Computer Science 2024-12-13 Fan Li , Xiaoyang Wang , Dawei Cheng , Cong Chen , Ying Zhang , Xuemin Lin

Transformer models have recently gained popularity in graph representation learning as they have the potential to learn complex relationships beyond the ones captured by regular graph neural networks. The main research question is how to…

Machine Learning · Computer Science 2023-10-31 Yuankai Luo , Veronika Thost , Lei Shi

Graph Neural Networks usually rely on the assumption that the graph topology is available to the network as well as optimal for the downstream task. Latent graph inference allows models to dynamically learn the intrinsic graph structure of…

Machine Learning · Computer Science 2023-06-28 Haitz Sáez de Ocáriz Borde , Anees Kazi , Federico Barbero , Pietro Liò

Diffusion-based generative graph models have been proven effective in generating high-quality small graphs. However, they need to be more scalable for generating large graphs containing thousands of nodes desiring graph statistics. In this…

Machine Learning · Computer Science 2023-06-01 Xiaohui Chen , Jiaxing He , Xu Han , Li-Ping Liu

Generative methods for graphs need to be sufficiently flexible to model complex dependencies between sets of nodes. At the same time, the generated graphs need to satisfy domain-dependent feasibility conditions, that is, they should not…

Machine Learning · Computer Science 2025-01-22 Stefan Mautner , Rolf Backofen , Fabrizio Costa

Time-evolving traffic flow forecasting are playing a vital role in intelligent transportation systems and smart cities. However, the dynamic traffic flow forecasting is a highly nonlinear problem with complex temporal-spatial dependencies.…

Machine Learning · Computer Science 2025-08-05 Zhenan Lin , Yuni Lai , Wai Lun Lo , Richard Tai-Chiu Hsung , Harris Sik-Ho Tsang , Xiaoyu Xue , Kai Zhou , Yulin Zhu

Learning the structure of a causal graphical model using both observational and interventional data is a fundamental problem in many scientific fields. A promising direction is continuous optimization for score-based methods, which,…

Machine Learning · Computer Science 2022-02-28 Phillip Lippe , Taco Cohen , Efstratios Gavves

Graph generation is a critical task in numerous domains, including molecular design and social network analysis, due to its ability to model complex relationships and structured data. While most modern graph generative models utilize…

Machine Learning · Computer Science 2025-06-04 Xiaohui Chen , Yinkai Wang , Jiaxing He , Yuanqi Du , Soha Hassoun , Xiaolin Xu , Li-Ping Liu

Many biological and social systems are naturally represented as edge-weighted directed or undirected hypergraphs since they exhibit group interactions involving three or more system units as opposed to pairwise interactions that can be…

Social and Information Networks · Computer Science 2025-04-25 Prithviraj Sengupta , Nazanin Azarhooshang , Reka Albert , Bhaskar DasGupta

A large number of real-world networks include multiple types of nodes and edges. Graph Neural Network (GNN) emerged as a deep learning framework to generate node and graph embeddings for downstream machine learning tasks. However, popular…

Machine Learning · Computer Science 2024-11-26 Ziynet Nesibe Kesimoglu , Serdar Bozdag

Directed and heterogeneous hypergraphs capture directional higher-order interactions with intrinsically asymmetric functional dependencies among nodes. As a result, damage to certain nodes can suppress entire hyperedges, whereas failure of…

Disordered Systems and Neural Networks · Physics 2026-01-29 Yunxue Sun , Xueming Liu , Ginestra Bianconi

Deep generative models (DGMs) have been widely developed for graph data. However, much less investigation has been carried out on understanding the latent space of such pretrained graph DGMs. These understandings possess the potential to…

Machine Learning · Computer Science 2024-01-31 Shengchao Liu , Chengpeng Wang , Jiarui Lu , Weili Nie , Hanchen Wang , Zhuoxinran Li , Bolei Zhou , Jian Tang

Deep generative models have recently achieved significant success in modeling graph data, including dynamic graphs, where topology and features evolve over time. However, unlike in vision and natural language domains, evaluating generative…

Machine Learning · Computer Science 2025-03-04 Ryien Hosseini , Filippo Simini , Venkatram Vishwanath , Rebecca Willett , Henry Hoffmann

A path graph is the intersection graph of paths in a tree. A directed path graph is the intersection graph of paths in a directed tree. Even if path graphs and directed path graphs are characterized very similarly, their recognition…

Data Structures and Algorithms · Computer Science 2025-05-07 Lorenzo Balzotti

In this paper, we study discrete Lyapunov models, which consist of steady-state distributions of first-order vector autoregressive models. The parameter matrix of such a model encodes a directed graph whose vertices correspond to the…

Conditional graph generation tasks involve training a model to generate a graph given a set of input conditions. Many previous studies employ autoregressive models to incrementally generate graph components such as nodes and edges. However,…

Machine Learning · Computer Science 2023-05-26 Jie Bu , Kazi Sajeed Mehrab , Anuj Karpatne

One of the emerging techniques in node classification in heterogeneous graphs is to restrict message aggregation to pre-defined, semantically meaningful structures called metapaths. This work is the first attempt to incorporate attention…

Machine Learning · Computer Science 2024-12-31 Calder Katyal

We develop a novel convolutional architecture tailored for learning from data defined over directed acyclic graphs (DAGs). DAGs can be used to model causal relationships among variables, but their nilpotent adjacency matrices pose unique…

Machine Learning · Computer Science 2024-05-07 Samuel Rey , Hamed Ajorlou , Gonzalo Mateos

Graph neural network, as a powerful graph representation technique based on deep learning, has shown superior performance and attracted considerable research interest. However, it has not been fully considered in graph neural network for…

Social and Information Networks · Computer Science 2021-01-21 Xiao Wang , Houye Ji , Chuan Shi , Bai Wang , Peng Cui , P. Yu , Yanfang Ye

We explore pseudometrics for directed graphs in order to better understand their topological properties. The directed flag complex associated to a directed graph provides a useful bridge between network science and topology. Indeed, it has…

Algebraic Topology · Mathematics 2021-07-26 Ana Lucia Garcia-Pulido , Kathryn Hess , Jane Tan , Katharine Turner , Bei Wang , Naya Yerolemou