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Related papers: Evolving-Graph Gaussian Processes

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Gaussian processes are a versatile framework for learning unknown functions in a manner that permits one to utilize prior information about their properties. Although many different Gaussian process models are readily available when the…

Graph signal processing (GSP) generalizes signal processing (SP) tasks to signals living on non-Euclidean domains whose structure can be captured by a weighted graph. Graphs are versatile, able to model irregular interactions, easy to…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Geert Leus , Antonio G. Marques , José M. F. Moura , Antonio Ortega , David I Shuman

Dynamic graphs refer to graphs whose structure dynamically changes over time. Despite the benefits of learning vertex representations (i.e., embeddings) for dynamic graphs, existing works merely view a dynamic graph as a sequence of changes…

Machine Learning · Computer Science 2023-11-02 Yu Yang , Hongzhi Yin , Jiannong Cao , Tong Chen , Quoc Viet Hung Nguyen , Xiaofang Zhou , Lei Chen

Over the last few years, we have witnessed the availability of an increasing data generated from non-Euclidean domains, which are usually represented as graphs with complex relationships, and Graph Neural Networks (GNN) have gained a high…

Machine Learning · Computer Science 2023-08-15 Andrea Apicella , Francesco Isgrò , Andrea Pollastro , Roberto Prevete

Gaussian processes (GPs) are pervasive in functional data analysis, machine learning, and spatial statistics for modeling complex dependencies. Modern scientific data sets are typically heterogeneous and often contain multiple known…

Methodology · Statistics 2021-10-19 Didong Li , Andrew Jones , Sudipto Banerjee , Barbara E. Engelhardt

We propose a graph spectrum-based Gaussian process for prediction of signals defined on nodes of the graph. The model is designed to capture various graph signal structures through a highly adaptive kernel that incorporates a flexible…

Machine Learning · Computer Science 2020-10-29 Yin-Cong Zhi , Yin Cheng Ng , Xiaowen Dong

Off-the-shelf Gaussian Process (GP) covariance functions encode smoothness assumptions on the structure of the function to be modeled. To model complex and non-differentiable functions, these smoothness assumptions are often too…

Machine Learning · Statistics 2016-04-12 Roberto Calandra , Jan Peters , Carl Edward Rasmussen , Marc Peter Deisenroth

Gaussian processes (GPs) are an attractive class of machine learning models because of their simplicity and flexibility as building blocks of more complex Bayesian models. Meanwhile, graph neural networks (GNNs) emerged recently as a…

Machine Learning · Computer Science 2023-02-14 Zehao Niu , Mihai Anitescu , Jie Chen

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

Gaussian processes (GPs) are powerful and widely used probabilistic regression models, but their effectiveness in practice is often limited by the choice of kernel function. This kernel function is typically handcrafted from a small set of…

Machine Learning · Computer Science 2026-02-13 Jihao Andreas Lin , Sebastian Ament , Louis C. Tiao , David Eriksson , Maximilian Balandat , Eytan Bakshy

The effective representation, processing, analysis, and visualization of large-scale structured data, especially those related to complex domains such as networks and graphs, are one of the key questions in modern machine learning. Graph…

Machine Learning · Computer Science 2020-12-02 Xiaowen Dong , Dorina Thanou , Laura Toni , Michael Bronstein , Pascal Frossard

Research in Graph Signal Processing (GSP) aims to develop tools for processing data defined on irregular graph domains. In this paper we first provide an overview of core ideas in GSP and their connection to conventional digital signal…

Signal Processing · Electrical Eng. & Systems 2018-03-28 Antonio Ortega , Pascal Frossard , Jelena Kovačević , José M. F. Moura , Pierre Vandergheynst

Gaussian processes provide a compact representation for modeling and estimating an unknown function, that can be updated as new measurements of the function are obtained. This paper extends this powerful framework to the case where the…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Jilles van Hulst , Roy van Zuijlen , Duarte Antunes , W. P. M. H. , Heemels

Graph-based models require aggregating information in the graph from neighbourhoods of different sizes. In particular, when the data exhibit varying levels of smoothness on the graph, a multi-scale approach is required to capture the…

Machine Learning · Computer Science 2022-02-22 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

Recent progress in research on Deep Graph Networks (DGNs) has led to a maturation of the domain of learning on graphs. Despite the growth of this research field, there are still important challenges that are yet unsolved. Specifically,…

Machine Learning · Computer Science 2024-04-10 Alessio Gravina , Davide Bacciu

Gaussian Processes (GPs) has experienced tremendous success in geoscience in general and for bio-geophysical parameter retrieval in the last years. GPs constitute a solid Bayesian framework to formulate many function approximation problems…

Graph Networks (GNs) enable the fusion of prior knowledge and relational reasoning with flexible function approximations. In this work, a general GN-based model is proposed which takes full advantage of the relational modeling capabilities…

Computational Engineering, Finance, and Science · Computer Science 2021-07-01 Charilaos Mylonas , Imad Abdallah , Eleni Chatzi

Textual network embedding aims to learn low-dimensional representations of text-annotated nodes in a graph. Prior work in this area has typically focused on fixed graph structures; however, real-world networks are often dynamic. We address…

Machine Learning · Computer Science 2019-12-02 Pengyu Cheng , Yitong Li , Xinyuan Zhang , Liqun Cheng , David Carlson , Lawrence Carin

Graphs are one of the most important data structures for representing pairwise relations between objects. Specifically, a graph embedded in a Euclidean space is essential to solving real problems, such as physical simulations. A crucial…

Machine Learning · Computer Science 2021-03-11 Masanobu Horie , Naoki Morita , Toshiaki Hishinuma , Yu Ihara , Naoto Mitsume

Graphs are essential representations of many real-world data such as social networks. Recent years have witnessed the increasing efforts made to extend the neural network models to graph-structured data. These methods, which are usually…

Machine Learning · Computer Science 2018-11-07 Yao Ma , Ziyi Guo , Zhaochun Ren , Eric Zhao , Jiliang Tang , Dawei Yin