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Related papers: GraphKKE: Graph Kernel Koopman Embedding for Human…

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The inclusion of temporal scopes of facts in knowledge graph embedding (KGE) presents significant opportunities for improving the resulting embeddings, and consequently for increased performance in downstream applications. Yet, little…

Machine Learning · Computer Science 2021-06-30 Wessel Radstok , Mel Chekol

Finding patterns in graphs is a fundamental problem in databases and data mining. In many applications, graphs are temporal and evolve over time, so we are interested in finding durable patterns, such as triangles and paths, which persist…

Databases · Computer Science 2024-03-26 Pankaj K. Agarwal , Xiao Hu , Stavros Sintos , Jun Yang

Temporal graphs represent the dynamic relationships among entities and occur in many real life application like social networks, e commerce, communication, road networks, biological systems, and many more. They necessitate research beyond…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Srikanta Bedathur

We consider the training process of a neural network as a dynamical system acting on the high-dimensional weight space. Each epoch is an application of the map induced by the optimization algorithm and the loss function. Using this induced…

Machine Learning · Computer Science 2020-06-23 Iva Manojlović , Maria Fonoberova , Ryan Mohr , Aleksandr Andrejčuk , Zlatko Drmač , Yannis Kevrekidis , Igor Mezić

Knowledge graphs are powerful tools for representing and organising complex biomedical data. Several knowledge graph embedding algorithms have been proposed to learn from and complete knowledge graphs. However, a recent study demonstrates…

Knowledge graph embedding methods learn continuous vector representations for entities in knowledge graphs and have been used successfully in a large number of applications. We present a novel and scalable paradigm for the computation of…

Computation and Language · Computer Science 2020-01-22 Caglar Demir , Axel-Cyrille Ngonga Ngomo

Nodes residing in different parts of a graph can have similar structural roles within their local network topology. The identification of such roles provides key insight into the organization of networks and can be used for a variety of…

Social and Information Networks · Computer Science 2018-06-21 Claire Donnat , Marinka Zitnik , David Hallac , Jure Leskovec

Microbiomes, which are collections of interacting microbes in an environment, often substantially impact the environmental patches or living hosts that they occupy. In microbiome models, it is important to consider both the local dynamics…

Dynamical Systems · Mathematics 2025-07-18 Michael Johnson , Mason A. Porter

Financial transactions constitute connections between entities and through these connections a large scale heterogeneous weighted graph is formulated. In this labyrinth of interactions that are continuously updated, there exists a variety…

Machine Learning · Computer Science 2020-07-02 Antonia Gogoglou , Brian Nguyen , Alan Salimov , Jonathan Rider , C. Bayan Bruss

Recent studies have shown great promise in applying graph neural networks for multivariate time series forecasting, where the interactions of time series are described as a graph structure and the variables are represented as the graph…

Machine Learning · Computer Science 2022-06-29 Junchen Ye , Zihan Liu , Bowen Du , Leilei Sun , Weimiao Li , Yanjie Fu , Hui Xiong

Machine-learning methods in biochemistry commonly represent molecules as graphs of pairwise intermolecular interactions for property and structure predictions. Most methods operate on a single graph, typically the minimal free energy (MFE)…

Graph Transformers have recently been successful in various graph representation learning tasks, providing a number of advantages over message-passing Graph Neural Networks. Utilizing Graph Transformers for learning the representation of…

Neurons and Cognition · Quantitative Biology 2023-12-27 Byung-Hoon Kim , Jungwon Choi , EungGu Yun , Kyungsang Kim , Xiang Li , Juho Lee

A broad range of applications involve signals with irregular structures that can be represented as a graph. As the underlying structures can change over time, the tracking dynamic graph topologies from observed signals is a fundamental…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Lital Dabush , Nir Shlezinger , Tirza Routtenberg

One of the major research questions regarding human microbiome studies is the feasibility of designing interventions that modulate the composition of the microbiome to promote health and cure disease. This requires extensive understanding…

Methodology · Statistics 2021-11-18 Matthew D. Koslovsky , Kristi L. Hoffman , Carrie R. Daniel , Marina Vannucci

This work presents a novel framework for time series analysis using entropic measures based on the kernel density estimate (KDE) of the time series' Takens' embeddings. Using this framework we introduce two distinct analytical tools: (1) a…

Information Theory · Computer Science 2025-12-05 Audun Myers , Bill Kay , Iliana Alvarez , Michael Hughes , Cameron Mackenzie , Carlos Ortiz Marrero , Emily Ellwein , Erik Lentz

This paper introduces graphemes for constructing and analyzing stochastic processes that describe the evolution of large dynamic graphs. Unlike graphons, which capture the static properties of dense graphs via exchangeability or subgraph…

Probability · Mathematics 2025-04-16 Andreas Greven , Frank den Hollander , Anton Klimovsky , Anita Winter

From longitudinal biomedical studies to social networks, graphs have emerged as a powerful framework for describing evolving interactions between agents in complex systems. In such studies, after pre-processing, the data can be represented…

Applications · Statistics 2018-03-12 Claire Donnat , Susan Holmes

The rise of graph-structured data has driven major advances in Graph Machine Learning (GML), where graph embeddings (GEs) map features from Knowledge Graphs (KGs) into vector spaces, enabling tasks like node classification and link…

Machine Learning · Computer Science 2026-01-27 Rosario Napoli , Gabriele Morabito , Antonio Celesti , Massimo Villari , Maria Fazio

Accurate and explainable health event predictions are becoming crucial for healthcare providers to develop care plans for patients. The availability of electronic health records (EHR) has enabled machine learning advances in providing these…

Machine Learning · Computer Science 2021-05-18 Chang Lu , Chandan K. Reddy , Prithwish Chakraborty , Samantha Kleinberg , Yue Ning

Human associated microbial communities exert tremendous influence over human health and disease. With modern metagenomic sequencing methods it is possible to follow the relative abundance of microbes in a community over time. These…

Quantitative Methods · Quantitative Biology 2015-06-18 Charles K. Fisher , Pankaj Mehta
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