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Representation learning has recently been successfully used to create vector representations of entities in language learning, recommender systems and in similarity learning. Graph embeddings exploit the locality structure of a graph and…

Machine Learning · Computer Science 2020-02-24 Shalin Shah , Venkataramana Kini

In domains with interdependent data, such as graphs, quantifying the epistemic uncertainty of a Graph Neural Network (GNN) is challenging as uncertainty can arise at different structural scales. Existing techniques neglect this issue or…

Machine Learning · Computer Science 2025-02-28 Dominik Fuchsgruber , Tom Wollschläger , Stephan Günnemann

Graph embedding methods are becoming increasingly popular in the machine learning community, where they are widely used for tasks such as node classification and link prediction. Embedding graphs in geometric spaces should aid the…

Graph auto-encoders have proved to be useful in network embedding task. However, current models only consider explicit structures and fail to explore the informative latent structures cohered in networks. To address this issue, we propose a…

Machine Learning · Computer Science 2021-10-01 Minglong Lei , Yong Shi , Lingfeng Niu

Joint spectral embeddings facilitate analysis of multiple network data by simultaneously mapping vertices in each network to points in Euclidean space where statistical inference is then performed. In this work, we consider one such joint…

Statistics Theory · Mathematics 2022-01-04 Benjamin Draves , Daniel L. Sussman

Combining different modalities of data from human tissues has been critical in advancing biomedical research and personalised medical care. In this study, we leverage a graph embedding model (i.e VGAE) to perform link prediction on…

Genomics · Quantitative Biology 2021-07-27 Amine Amor , Pietro Lio' , Vikash Singh , Ramon Viñas Torné , Helena Andres Terre

Spectral embedding of network adjacency matrices often produces node representations living approximately around low-dimensional submanifold structures. In particular, hidden substructure is expected to arise when the graph is generated…

Machine Learning · Statistics 2022-06-27 Francesco Sanna Passino , Nicholas A. Heard

The exploitation of graph structures is the key to effectively learning representations of nodes that preserve useful information in graphs. A remarkable property of graph is that a latent hierarchical grouping of nodes exists in a global…

Artificial Intelligence · Computer Science 2021-11-02 Lu Lin , Ethan Blaser , Hongning Wang

Many popular models from the networks literature can be viewed through a common lens of contingency tables on network dyads, resulting in \emph{log-linear ERGMs}: exponential family models for random graphs whose sufficient statistics are…

Methodology · Statistics 2024-03-05 Elizabeth Gross , Sonja Petrović , Despina Stasi

Statistical analysis of social networks provides valuable insights into complex network interactions across various scientific disciplines. However, accurate modeling of networks remains challenging due to the heavy computational burden and…

Social and Information Networks · Computer Science 2023-07-25 Helal El-Zaatari , Fei Yu , Michael R Kosorok

Machine learning, and representation learning in particular, has the potential to facilitate drug discovery by screening a large chemical space in silico. A successful approach for representing molecules is to treat them as a graph and…

Chemical Physics · Physics 2023-10-06 Ronen Taub , Yonatan Savir

Graph embedding is an effective method to represent graph data in a low dimensional space for graph analytics. Most existing embedding algorithms typically focus on preserving the topological structure or minimizing the reconstruction…

Machine Learning · Computer Science 2019-01-09 Shirui Pan , Ruiqi Hu , Guodong Long , Jing Jiang , Lina Yao , Chengqi Zhang

Biological multimodal large language models (MLLMs) have emerged as powerful foundation models for scientific discovery. However, existing models are specialized to a single modality, limiting their ability to solve inherently cross-modal…

Machine Learning · Computer Science 2026-03-17 Wonbin Lee , Dongki Kim , Sung Ju Hwang

Feature extraction and dimension reduction for networks is critical in a wide variety of domains. Efficiently and accurately learning features for multiple graphs has important applications in statistical inference on graphs. We propose a…

Applications · Statistics 2021-06-23 Shangsi Wang , Jesús Arroyo , Joshua T. Vogelstein , Carey E. Priebe

An embedding is a function that maps entities from one algebraic structure into another while preserving certain characteristics. Embeddings are being used successfully for mapping relational data or text into vector spaces where they can…

Artificial Intelligence · Computer Science 2019-02-28 Maxat Kulmanov , Wang Liu-Wei , Yuan Yan , Robert Hoehndorf

Reasoning about hypotheses and updating knowledge through empirical observations are central to scientific discovery. In this work, we applied logic-based machine learning methods to drive biological discovery by guiding experimentation.…

Molecular Networks · Quantitative Biology 2025-06-09 Lun Ai , Stephen H. Muggleton , Shi-Shun Liang , Geoff S. Baldwin

In real-world scenarios, although data entities may possess inherent relationships, the specific graph illustrating their connections might not be directly accessible. Latent graph inference addresses this issue by enabling Graph Neural…

Machine Learning · Computer Science 2023-11-21 Yuan Lu , Haitz Sáez de Ocáriz Borde , Pietro Liò

Dynamic interaction graphs have been widely adopted to model the evolution of user-item interactions over time. There are two crucial factors when modelling user preferences for link prediction in dynamic interaction graphs: 1)…

Machine Learning · Computer Science 2022-12-29 Jiahao Liu , Dongsheng Li , Hansu Gu , Tun Lu , Peng Zhang , Ning Gu

Exponential-family random graph models (ERGMs) provide a principled and flexible way to model and simulate features common in social networks, such as propensities for homophily, mutuality, and friend-of-a-friend triad closure, through…

Methodology · Statistics 2012-08-01 Pavel N. Krivitsky

The restricted Boltzmann machine is a network of stochastic units with undirected interactions between pairs of visible and hidden units. This model was popularized as a building block of deep learning architectures and has continued to…

Machine Learning · Computer Science 2018-06-20 Guido Montufar
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