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One of the main challenges in using deep learning-based methods for simulating physical systems and solving partial differential equations (PDEs) is formulating physics-based data in the desired structure for neural networks. Graph neural…

Currently the state of the art network models are based or depend on Discrete Event Simulation (DES). While DES is highly accurate, it is also computationally costly and cumbersome to parallelize, making it unpractical to simulate high…

Networking and Internet Architecture · Computer Science 2023-10-19 Carlos Güemes-Palau , Miquel Ferriol Galmés , Albert Cabellos-Aparicio , Pere Barlet-Ros

We explore the use of graph neural networks (GNNs) to model spatial processes in which there is no a priori graphical structure. Similar to finite element analysis, we assign nodes of a GNN to spatial locations and use a computational…

Machine Learning · Computer Science 2019-11-19 Ferran Alet , Adarsh K. Jeewajee , Maria Bauza , Alberto Rodriguez , Tomas Lozano-Perez , Leslie Pack Kaelbling

The behavior of many dynamical systems follow complex, yet still unknown partial differential equations (PDEs). While several machine learning methods have been proposed to learn PDEs directly from data, previous methods are limited to…

Machine Learning · Computer Science 2021-02-01 Valerii Iakovlev , Markus Heinonen , Harri Lähdesmäki

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

Machine Learning · Computer Science 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

The vector field of a controlled differential equation (CDE) describes the relationship between a control path and the evolution of a solution path. Neural CDEs (NCDEs) treat time series data as observations from a control path,…

Machine Learning · Computer Science 2025-10-24 Benjamin Walker , Andrew D. McLeod , Tiexin Qin , Yichuan Cheng , Haoliang Li , Terry Lyons

All industries are trying to leverage Artificial Intelligence (AI) based on their existing big data which is available in so called tabular form, where each record is composed of a number of heterogeneous continuous and categorical columns…

Graph Neural Networks (GNNs) learn from graph-structured data by passing local messages between neighboring nodes along edges on certain topological layouts. Typically, these topological layouts in modern GNNs are deterministically computed…

Machine Learning · Computer Science 2024-02-27 Xinjian Zhao , Chaolong Ying , Tianshu Yu

Networks evolve continuously over time with the addition, deletion, and changing of links and nodes. Such temporal networks (or edge streams) consist of a sequence of timestamped edges and are seemingly ubiquitous. Despite the importance of…

Machine Learning · Computer Science 2020-07-20 John Boaz Lee , Giang Nguyen , Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

Learning effective embedding has been proved to be useful in many real-world problems, such as recommender systems, search ranking and online advertisement. However, one of the challenges is data sparsity in learning large-scale item…

Machine Learning · Computer Science 2019-05-27 Yi Ouyang , Bin Guo , Xing Tang , Xiuqiang He , Jian Xiong , Zhiwen Yu

Graph representations for real-world social networks in the past have missed two important elements: the multiplexity of connections as well as representing time. To this end, in this paper, we present a new dynamic heterogeneous graph…

Social and Information Networks · Computer Science 2023-03-29 Negar Maleki , Balaji Padamanabhan , Kaushik Dutta

Traffic forecasting is important in intelligent transportation systems of webs and beneficial to traffic safety, yet is very challenging because of the complex and dynamic spatio-temporal dependencies in real-world traffic systems. Prior…

Machine Learning · Computer Science 2021-12-07 Yuchen Fang , Yanjun Qin , Haiyong Luo , Fang Zhao , Liang Zeng , Bo Hui , Chenxing Wang

Multimodal graphs, where nodes contain heterogeneous features such as images and text, are increasingly common in real-world applications. Effectively learning on such graphs requires both adaptive intra-modal message passing and efficient…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Xiaobin Hong , Mingkai Lin , Xiaoli Wang , Chaoqun Wang , Wenzhong Li

We present a novel end-to-end framework that generates highly compact (typically 6-15 dimensions), discrete (int4 type), and interpretable node representations, termed node identifiers (node IDs), to tackle inference challenges on…

Machine Learning · Computer Science 2024-10-21 Yuankai Luo , Hongkang Li , Qijiong Liu , Lei Shi , Xiao-Ming Wu

We present a framework for learning Node Embeddings from Static Subgraphs (NESS) using a graph autoencoder (GAE) in a transductive setting. NESS is based on two key ideas: i) Partitioning the training graph to multiple static, sparse…

Machine Learning · Computer Science 2023-05-24 Talip Ucar

GNNs have been proven to perform highly effective in various node-level, edge-level, and graph-level prediction tasks in several domains. Existing approaches mainly focus on static graphs. However, many graphs change over time with their…

Machine Learning · Computer Science 2022-06-22 Bahareh Najafi , Saeedeh Parsaeefard , Alberto Leon-Garcia

Temporal graph representation learning has drawn significant attention for the prevalence of temporal graphs in the real world. However, most existing works resort to taking discrete snapshots of the temporal graph, or are not inductive to…

Social and Information Networks · Computer Science 2022-03-29 Zhihao Wen , Yuan Fang

Identifying causal relations among multi-variate time series is one of the most important elements towards understanding the complex mechanisms underlying the dynamic system. It provides critical tools for forecasting, simulations and…

Machine Learning · Computer Science 2023-02-22 Yang Sun , Yifan Xie

Graph Neural Networks (GNN) have recently gained popularity in the forecasting domain due to their ability to model complex spatial and temporal patterns in tasks such as traffic forecasting and region-based demand forecasting. Most of…

Machine Learning · Computer Science 2023-12-08 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

Existing defects in software components is unavoidable and leads to not only a waste of time and money but also many serious consequences. To build predictive models, previous studies focus on manually extracting features or using tree…

Software Engineering · Computer Science 2018-02-15 Anh Viet Phan , Minh Le Nguyen , Lam Thu Bui