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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

The recent deep generative models for static graphs that are now being actively developed have achieved significant success in areas such as molecule design. However, many real-world problems involve temporal graphs whose topology and…

Machine Learning · Computer Science 2021-03-09 Liming Zhang , Liang Zhao , Shan Qin , Dieter Pfoser

This paper studies the problem of modeling multi-agent dynamical systems, where agents could interact mutually to influence their behaviors. Recent research predominantly uses geometric graphs to depict these mutual interactions, which are…

Machine Learning · Computer Science 2024-06-28 Xiao Luo , Yiyang Gu , Huiyu Jiang , Hang Zhou , Jinsheng Huang , Wei Ju , Zhiping Xiao , Ming Zhang , Yizhou Sun

Sensory data are often comprised of independent content and transformation factors. For example, face images may have shapes as content and poses as transformation. To infer separately these factors from given data, various…

Machine Learning · Computer Science 2021-01-26 Haruo Hosoya

Unsupervised representation learning for dynamic graphs has attracted a lot of research attention in recent years. Compared with static graph, the dynamic graph is a comprehensive embodiment of both the intrinsic stable characteristics of…

Social and Information Networks · Computer Science 2023-08-17 Kaike Zhang , Qi Cao , Gaolin Fang , Bingbing Xu , Hongjian Zou , Huawei Shen , Xueqi Cheng

This paper builds on the connection between graph neural networks and traditional dynamical systems. We propose continuous graph neural networks (CGNN), which generalise existing graph neural networks with discrete dynamics in that they can…

Machine Learning · Computer Science 2020-07-17 Louis-Pascal A. C. Xhonneux , Meng Qu , Jian Tang

Forecasting future stock trends remains challenging for academia and industry due to stochastic inter-stock dynamics and hierarchical intra-stock dynamics influencing stock prices. In recent years, graph neural networks have achieved…

Machine Learning · Computer Science 2024-03-05 Zinuo You , Zijian Shi , Hongbo Bo , John Cartlidge , Li Zhang , Yan Ge

Dynamic graphs are ubiquitous in real-world systems, and building generalizable dynamic Graph Foundation Models has become a frontier in graph learning. However, dynamic graphs from different domains pose fundamental challenges to unified…

Machine Learning · Computer Science 2026-05-14 Haonan Yuan , Qingyun Sun , Junhua Shi , Xingcheng Fu , Jianxin Li , Philip S. Yu

Time series of graphs are increasingly prevalent in modern data and pose unique challenges to visual exploration and pattern extraction. This paper describes the development and application of matrix factorizations for exploration and…

Social and Information Networks · Computer Science 2015-06-16 Shawn Mankad , George Michailidis

Graphs are ubiquitous real-world data structures, and generative models that approximate distributions over graphs and derive new samples from them have significant importance. Among the known challenges in graph generation tasks,…

Machine Learning · Computer Science 2019-10-04 Wataru Kawai , Yusuke Mukuta , Tatsuya Harada

Multivariate time series forecasting is a challenging task because the data involves a mixture of long- and short-term patterns, with dynamic spatio-temporal dependencies among variables. Existing graph neural networks (GNN) typically model…

Machine Learning · Computer Science 2021-12-08 Zhuoling Li , Gaowei Zhang , Lingyu Xu , Jie Yu

Dynamic networks are used in a wide range of fields, including social network analysis, recommender systems, and epidemiology. Representing complex networks as structures changing over time allow network models to leverage not only…

Social and Information Networks · Computer Science 2021-06-15 Joakim Skarding , Bogdan Gabrys , Katarzyna Musial

Deep Learning has made a great progress for these years. However, it is still difficult to master the implement of various models because different researchers may release their code based on different frameworks or interfaces. In this…

Software Engineering · Computer Science 2017-07-28 Ting Pan

With the development of graph applications, generative models for graphs have been more crucial. Classically, stochastic models that generate graphs with a pre-defined probability of edges and nodes have been studied. Recently, some models…

Machine Learning · Computer Science 2023-04-07 Shohei Nakazawa , Yoshiki Sato , Kenji Nakagawa , Sho Tsugawa , Kohei Watabe

This paper deals with differentiable dynamical models congruent with neural process theories that cast brain function as the hierarchical refinement of an internal generative model explaining observations. Our work extends existing…

Machine Learning · Computer Science 2021-12-10 André Ofner , Sebastian Stober

Graphs have a superior ability to represent relational data, like chemical compounds, proteins, and social networks. Hence, graph-level learning, which takes a set of graphs as input, has been applied to many tasks including comparison,…

Machine Learning · Computer Science 2023-05-26 Zhenyu Yang , Ge Zhang , Jia Wu , Jian Yang , Quan Z. Sheng , Shan Xue , Chuan Zhou , Charu Aggarwal , Hao Peng , Wenbin Hu , Edwin Hancock , Pietro Liò

Graphs as a type of data structure have recently attracted significant attention. Representation learning of geometric graphs has achieved great success in many fields including molecular, social, and financial networks. It is natural to…

Machine Learning · Computer Science 2021-07-08 Tian Xia , Wei-Shinn Ku

Probabilistic generative models provide a flexible and systematic framework for learning the underlying geometry of data. However, model selection in this setting is challenging, particularly when selecting for ill-defined qualities such as…

Machine Learning · Computer Science 2022-10-05 Chester Holtz , Gal Mishne , Alexander Cloninger

The task of scene graph generation entails identifying object entities and their corresponding interaction predicates in a given image (or video). Due to the combinatorially large solution space, existing approaches to scene graph…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Siddhesh Khandelwal , Leonid Sigal

A deep generative model is developed for representation and analysis of images, based on a hierarchical convolutional dictionary-learning framework. Stochastic {\em unpooling} is employed to link consecutive layers in the model, yielding…

Computer Vision and Pattern Recognition · Computer Science 2015-12-25 Yunchen Pu , Xin Yuan , Andrew Stevens , Chunyuan Li , Lawrence Carin
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