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Modern graph representation learning works mostly under the assumption of dealing with regularly sampled temporal graph snapshots, which is far from realistic, e.g., social networks and physical systems are characterized by continuous…

Machine Learning · Computer Science 2024-09-11 Alessio Gravina , Daniele Zambon , Davide Bacciu , Cesare Alippi

Real-world multi-agent systems are often dynamic and continuous, where the agents co-evolve and undergo changes in their trajectories and interactions over time. For example, the COVID-19 transmission in the U.S. can be viewed as a…

Machine Learning · Computer Science 2024-03-04 Zijie Huang , Jeehyun Hwang , Junkai Zhang , Jinwoo Baik , Weitong Zhang , Dominik Wodarz , Yizhou Sun , Quanquan Gu , Wei Wang

Learning multi-agent system dynamics has been extensively studied for various real-world applications, such as molecular dynamics in biology. Most of the existing models are built to learn single system dynamics from observed historical…

Machine Learning · Computer Science 2023-07-11 Zijie Huang , Yizhou Sun , Wei Wang

There has been an increasing interest in modeling continuous-time dynamics of temporal graph data. Previous methods encode time-evolving relational information into a low-dimensional representation by specifying discrete layers of neural…

Machine Learning · Computer Science 2022-06-01 Jin Guo , Zhen Han , Zhou Su , Jiliang Li , Volker Tresp , Yuyi Wang

There is a recent surge in the development of spatio-temporal forecasting models in the transportation domain. Long-range traffic forecasting, however, remains a challenging task due to the intricate and extensive spatio-temporal…

Machine Learning · Computer Science 2023-06-02 Zibo Liu , Parshin Shojaee , Chandan K Reddy

Modeling continuous-time dynamics constitutes a foundational challenge, and uncovering inter-component correlations within complex systems holds promise for enhancing the efficacy of dynamic modeling. The prevailing approach of integrating…

Machine Learning · Computer Science 2023-12-19 Lanlan Chen , Kai Wu , Jian Lou , Jing Liu

Session-based recommendation (SBR) aims to predict the user next action based on the ongoing sessions. Recently, there has been an increasing interest in modeling the user preference evolution to capture the fine-grained user interests.…

Information Retrieval · Computer Science 2022-08-23 Jiayan Guo , Peiyan Zhang , Chaozhuo Li , Xing Xie , Yan Zhang , Sunghun Kim

This paper proposes a temporal graph neural network model for forecasting of graph-structured irregularly observed time series. Our TGNN4I model is designed to handle both irregular time steps and partial observations of the graph. This is…

Machine Learning · Statistics 2023-02-17 Joel Oskarsson , Per Sidén , Fredrik Lindsten

We introduce the framework of continuous--depth graph neural networks (GNNs). Graph neural ordinary differential equations (GDEs) are formalized as the counterpart to GNNs where the input-output relationship is determined by a continuum of…

Machine Learning · Computer Science 2021-06-23 Michael Poli , Stefano Massaroli , Junyoung Park , Atsushi Yamashita , Hajime Asama , Jinkyoo Park

By interpreting the forward dynamics of the latent representation of neural networks as an ordinary differential equation, Neural Ordinary Differential Equation (Neural ODE) emerged as an effective framework for modeling a system dynamics…

Machine Learning · Computer Science 2020-10-19 Daehoon Gwak , Gyuhyeon Sim , Michael Poli , Stefano Massaroli , Jaegul Choo , Edward Choi

This paper focuses on representation learning for dynamic graphs with temporal interactions. A fundamental issue is that both the graph structure and the nodes own their own dynamics, and their blending induces intractable complexity in the…

Machine Learning · Computer Science 2025-10-02 Tiexin Qin , Benjamin Walker , Terry Lyons , Hong Yan , Haoliang Li

There has been an increasing interest in inferring future links on temporal knowledge graphs (KG). While links on temporal KGs vary continuously over time, the existing approaches model the temporal KGs in discrete state spaces. To this…

Machine Learning · Computer Science 2022-06-03 Zhen Han , Zifeng Ding , Yunpu Ma , Yujia Gu , Volker Tresp

Modeling the evolution of system with time-series data is a challenging and critical task in a wide range of fields, especially when the time-series data is regularly sampled and partially observable. Some methods have been proposed to…

Machine Learning · Computer Science 2024-12-03 Mengbang Zou , Weisi Guo

We propose a method to reproduce dynamic appearance textures with space-stationary but time-varying visual statistics. While most previous work decomposes dynamic textures into static appearance and motion, we focus on dynamic appearance…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Chen Liu , Tobias Ritschel

Purpose: To develop a neural ordinary differential equation (ODE) model for visualizing deep neural network (DNN) behavior during multi-parametric MRI (mp-MRI) based glioma segmentation as a method to enhance deep learning explainability.…

Quantitative Methods · Quantitative Biology 2022-03-25 Zhenyu Yang , Zongsheng Hu , Hangjie Ji , Kyle Lafata , Scott Floyd , Fang-Fang Yin , Chunhao Wang

Learning continuous-time dynamics on complex networks is crucial for understanding, predicting and controlling complex systems in science and engineering. However, this task is very challenging due to the combinatorial complexities in the…

Social and Information Networks · Computer Science 2020-06-19 Chengxi Zang , Fei Wang

A prominent paradigm for graph neural networks is based on the message-passing framework. In this framework, information communication is realized only between neighboring nodes. The challenge of approaches that use this paradigm is to…

Machine Learning · Computer Science 2023-09-18 Maysam Behmanesh , Maximilian Krahn , Maks Ovsjanikov

Graph Neural Networks (GNNs) have demonstrated remarkable success in modeling complex relationships in graph-structured data. A recent innovation in this field is the family of Differential Equation-Inspired Graph Neural Networks (DE-GNNs),…

Machine Learning · Computer Science 2024-01-23 Moshe Eliasof , Eldad Haber , Eran Treister , Carola-Bibiane Schönlieb

Multimodal emotion recognition in conversation (MERC) refers to identifying and classifying human emotional states by combining data from multiple different modalities (e.g., audio, images, text, video, etc.). Most existing multimodal…

Computation and Language · Computer Science 2025-08-13 Yuntao Shou , Tao Meng , Wei Ai , Keqin Li

Classical neural ODEs trained with explicit methods are intrinsically limited by stability, crippling their efficiency and robustness for stiff learning problems that are common in graph learning and scientific machine learning. We present…

Machine Learning · Computer Science 2024-12-17 Hong Zhang , Ying Liu , Romit Maulik
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