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We develop a continuous time random walk (CTRW) approach for the evolution of Lagrangian velocities in steady heterogeneous flows based on a stochastic relaxation process for the streamwise particle velocities. This approach describes…

Fluid Dynamics · Physics 2016-11-30 Marco Dentz , Peter K. Kang , Alessandro Comolli , Tanguy Le Borgne , Daniel R. Lester

Learning on evolving(dynamic) graphs has caught the attention of researchers as static methods exhibit limited performance in this setting. The existing methods for dynamic graphs learn spatial features by local neighborhood aggregation,…

Machine Learning · Computer Science 2022-11-23 Anson Bastos , Abhishek Nadgeri , Kuldeep Singh , Toyotaro Suzumura , Manish Singh

Graph representation learning has become a hot research topic due to its powerful nonlinear fitting capability in extracting representative node embeddings. However, for sequential data such as speech signals, most traditional methods…

Sound · Computer Science 2024-05-08 Yingxue Gao , Huan Zhao , Zixing Zhang

Graph-based change point detection (CPD) play an irreplaceable role in discovering anomalous graphs in the time-varying network. While several techniques have been proposed to detect change points by identifying whether there is a…

Social and Information Networks · Computer Science 2022-12-20 Yongshun Gong , Xue Dong , Jian Zhang , Meng Chen

In this work, we introduce a filtration on temporal graphs based on $\delta$-temporal motifs (recurrent subgraphs), yielding a multi-scale representation of temporal structure. Our temporal filtration allows tools developed for filtered…

Machine Learning · Computer Science 2025-12-04 Samrik Chowdhury , Siddharth Pritam , Rohit Roy , Madhav Cherupilil Sajeev

Within many real-world networks the links between pairs of nodes change over time. Thus, there has been a recent boom in studying temporal graphs. Recognizing patterns in temporal graphs requires a proximity measure to compare different…

Machine Learning · Computer Science 2020-07-07 Vincent Froese , Brijnesh Jain , Rolf Niedermeier , Malte Renken

The use of knowledge graphs for grounding agents in real-world Q&A applications has become increasingly common. Answering complex queries often requires multi-hop reasoning and the ability to navigate vast relational structures. Standard…

Artificial Intelligence · Computer Science 2026-04-03 Taraneh Ghandi , Hamidreza Mahyar , Shachar Klaiman

Random walks are at the heart of many existing network embedding methods. However, such algorithms have many limitations that arise from the use of random walks, e.g., the features resulting from these methods are unable to transfer to new…

Machine Learning · Statistics 2018-07-04 Nesreen K. Ahmed , Ryan Rossi , John Boaz Lee , Theodore L. Willke , Rong Zhou , Xiangnan Kong , Hoda Eldardiry

We consider random walks evolving on two models of connected and undirected graphs and study the exact large deviations of a local dynamical observable. We prove, in the thermodynamic limit, that this observable undergoes a first-order…

Statistical Mechanics · Physics 2024-09-09 Giorgio Carugno , Pierpaolo Vivo , Francesco Coghi

Node embeddings have become an ubiquitous technique for representing graph data in a low dimensional space. Graph autoencoders, as one of the widely adapted deep models, have been proposed to learn graph embeddings in an unsupervised way by…

Machine Learning · Computer Science 2019-08-13 Vaibhav , Po-Yao Huang , Robert Frederking

We consider the linear response of systems modelled by continuous-time random walks (CTRW) and by fractional Fokker-Planck equations under the influence of time-dependent external fields. We calculate the corresponding response functions…

Statistical Mechanics · Physics 2009-11-07 I. M. Sokolov , A. Blumen , J. Klafter

Knowledge graph embedding, which aims to learn the low-dimensional representations of entities and relationships, has attracted considerable research efforts recently. However, most knowledge graph embedding methods focus on the structural…

Machine Learning · Computer Science 2020-07-23 Yonghui Xu , Shengjie Sun , Yuan Miao , Dong Yang , Xiaonan Meng , Yi Hu , Ke Wang , Hengjie Song , Chuanyan Miao

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

Temporal Graph Learning (TGL) is crucial for capturing the evolving nature of stock markets. Traditional methods often ignore the interplay between dynamic temporal changes and static relational structures between stocks. To address this…

Machine Learning · Computer Science 2025-03-04 Yunhua Pei , Jin Zheng , John Cartlidge

Continual graph learning (CGL) aims to learn from dynamically evolving graphs while mitigating catastrophic forgetting. Existing CGL approaches typically adopt a task-based formulation, where the data stream is partitioned into a sequence…

Machine Learning · Computer Science 2026-05-15 Guiquan Sun , Xikun Zhang , Jingchao Ni , Dongjin Song

Modeling the dynamics of people walking is a problem of long-standing interest in computer vision. Many previous works involving pedestrian trajectory prediction define a particular set of individual actions to implicitly model group…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Inhwan Bae , Jin-Hwi Park , Hae-Gon Jeon

Learning Continuous-Time Dynamic Graphs (C-TDGs) requires accurately modeling spatio-temporal information on streams of irregularly sampled events. While many methods have been proposed recently, we find that most message passing-,…

Machine Learning · Computer Science 2025-03-13 Alessio Gravina , Giulio Lovisotto , Claudio Gallicchio , Davide Bacciu , Claas Grohnfeldt

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

Temporal knowledge graph reasoning (TKGR) is increasingly gaining attention for its ability to extrapolate new events from historical data, thereby enriching the inherently incomplete temporal knowledge graphs. Existing graph-based…

Machine Learning · Computer Science 2025-01-27 Jinze Sun , Yongpan Sheng , Lirong He , Yongbin Qin , Ming Liu , Tao Jia

Temporal Graph Learning, which aims to model the time-evolving nature of graphs, has gained increasing attention and achieved remarkable performance recently. However, in reality, graph structures are often incomplete and noisy, which…

Machine Learning · Computer Science 2023-08-16 Haozhen Zhang , Xueting Han , Xi Xiao , Jing Bai