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This article aims to study the topological invariant properties encoded in node graph representational embeddings by utilizing tools available in persistent homology. Specifically, given a node embedding representation algorithm, we…

Machine Learning · Computer Science 2021-10-12 Mustafa Hajij , Ghada Zamzmi , Xuanting Cai

Self-supervised learning on graphs has recently drawn a lot of attention due to its independence from labels and its robustness in representation. Current studies on this topic mainly use static information such as graph structures but…

Machine Learning · Computer Science 2021-12-17 Linpu Jiang , Ke-Jia Chen , Jingqiang Chen

Patterns stored within pre-trained deep neural networks compose large and powerful descriptive languages that can be used for many different purposes. Typically, deep network representations are implemented within vector embedding spaces,…

Neural and Evolutionary Computing · Computer Science 2017-08-10 Dario Garcia-Gasulla , Armand Vilalta , Ferran Parés , Jonatan Moreno , Eduard Ayguadé , Jesus Labarta , Ulises Cortés , Toyotaro Suzumura

We propose an adaptive control strategy for the simultaneous estimation of topology and synchronization in complex dynamical networks with unknown, time-varying topology. Our approach transforms the problem of time-varying topology…

Multiagent Systems · Computer Science 2024-09-16 Nana Wang , Esteban Restrepo , Dimos V. Dimarogonas

Dynamic graph embedding has gained great attention recently due to its capability of learning low dimensional graph representations for complex temporal graphs with high accuracy. However, recent advances mostly focus on learning node…

Machine Learning · Computer Science 2022-04-29 Mengjia Xu , Apoorva Vikram Singh , George Em Karniadakis

Graph embedding techniques allow to learn high-quality feature vectors from graph structures and are useful in a variety of tasks, from node classification to clustering. Existing approaches have only focused on learning feature vectors for…

Artificial Intelligence · Computer Science 2019-05-29 Valeria Fionda , Giuseppe Pirró

Recommender systems, crucial for user engagement on platforms like e-commerce and streaming services, often lag behind users' evolving preferences due to static data reliance. After Temporal Graph Networks (TGNs) were proposed, various…

Artificial Intelligence · Computer Science 2024-12-24 Yejin Kim , Youngbin Lee , Vincent Yuan , Annika Lee , Yongjae Lee

Graph autoencoders (GAEs) are powerful tools in representation learning for graph embedding. However, the performance of GAEs is very dependent on the quality of the graph structure, i.e., of the adjacency matrix. In other words, GAEs would…

Machine Learning · Computer Science 2021-03-24 Rui Zhang , Yunxing Zhang , Xuelong Li

Existing dynamic weighted graph visualization approaches rely on users' mental comparison to perceive temporal evolution of dynamic weighted graphs, hindering users from effectively analyzing changes across multiple timeslices. We propose…

Human-Computer Interaction · Computer Science 2023-02-16 Xiaolin Wen , Yong Wang , Meixuan Wu , Fengjie Wang , Xuanwu Yue , Qiaomu Shen , Yuxin Ma , Min Zhu

Since many real world networks are evolving over time, such as social networks and user-item networks, there are increasing research efforts on dynamic network embedding in recent years. They learn node representations from a sequence of…

Social and Information Networks · Computer Science 2021-03-30 Guotong Xue , Ming Zhong , Jianxin Li , Jia Chen , Chengshuai Zhai , Ruochen Kong

In the recent research of data mining, frequent structures in a sequence of graphs have been studied intensively, and one of the main concern is changing structures along a sequence of graphs that can capture dynamic properties of data. On…

Data Structures and Algorithms · Computer Science 2012-06-28 Takeaki Uno , Yushi Uno

Graphs are ubiquitous due to their flexibility in representing social and technological systems as networks of interacting elements. Graph representation learning methods, such as node embeddings, are powerful approaches to map nodes into a…

Machine Learning · Computer Science 2023-10-03 Simone Piaggesi , Megha Khosla , André Panisson , Avishek Anand

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

Detecting anomalies for dynamic graphs has drawn increasing attention due to their wide applications in social networks, e-commerce, and cybersecurity. Recent deep learning-based approaches have shown promising results over shallow methods.…

Machine Learning · Computer Science 2021-10-29 Yixin Liu , Shirui Pan , Yu Guang Wang , Fei Xiong , Liang Wang , Qingfeng Chen , Vincent CS Lee

Network embedding aims to embed nodes into a low-dimensional space, while capturing the network structures and properties. Although quite a few promising network embedding methods have been proposed, most of them focus on static networks.…

Machine Learning · Computer Science 2019-09-11 Yuanfu Lu , Xiao Wang , Chuan Shi , Philip S. Yu , Yanfang Ye

The accurate and interpretable prediction of future events in time-series data often requires the capturing of representative patterns (or referred to as states) underpinning the observed data. To this end, most existing studies focus on…

Machine Learning · Computer Science 2020-11-26 Wenjie Hu , Yang Yang , Ziqiang Cheng , Carl Yang , Xiang Ren

Continuously-observed event occurrences, often exhibit self- and mutually-exciting effects, which can be well modeled using temporal point processes. Beyond that, these event dynamics may also change over time, with certain periodic trends.…

Machine Learning · Computer Science 2024-03-11 Sikun Yang , Hongyuan Zha

Large-scale perturbations in the microbiome constitution are strongly correlated, whether as a driver or a consequence, with the health and functioning of human physiology. However, understanding the difference in the microbiome profiles of…

Quantitative Methods · Quantitative Biology 2022-09-08 Kateryna Melnyk , Kuba Weimann , Tim O. F. Conrad

Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

Diffusion models have established themselves as state-of-the-art generative models across various data modalities, including images and videos, due to their ability to accurately approximate complex data distributions. Unlike traditional…

Machine Learning · Computer Science 2025-10-23 Daniel Wesego