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Graph Neural Networks (GNNs) have achieved state-of-the-art performance in solving graph classification tasks. However, most GNN architectures aggregate information from all nodes and edges in a graph, regardless of their relevance to the…

Machine Learning · Statistics 2024-04-19 Pablo Sanchez-Martin , Kinaan Aamir Khan , Isabel Valera

Cellular sheaves equip graphs with a "geometrical" structure by assigning vector spaces and linear maps to nodes and edges. Graph Neural Networks (GNNs) implicitly assume a graph with a trivial underlying sheaf. This choice is reflected in…

Machine Learning · Computer Science 2023-01-09 Cristian Bodnar , Francesco Di Giovanni , Benjamin Paul Chamberlain , Pietro Liò , Michael M. Bronstein

Graph kernels are kernel methods measuring graph similarity and serve as a standard tool for graph classification. However, the use of kernel methods for node classification, which is a related problem to graph representation learning, is…

Machine Learning · Computer Science 2019-10-08 Yu Tian , Long Zhao , Xi Peng , Dimitris N. Metaxas

Self-supervised learning has shown its promising capability in graph representation learning in recent work. Most existing pre-training strategies usually choose the popular Graph neural networks (GNNs), which can be seen as a special form…

Machine Learning · Computer Science 2023-06-16 Yilin Ding , Zhen Liu , Hao Hao

Inspired by a growing interest in analyzing network data, we study the problem of node classification on graphs, focusing on approaches based on kernel machines. Conventionally, kernel machines are linear classifiers in the implicit feature…

Machine Learning · Statistics 2010-01-25 Xiao Tang , Mu Zhu

Biomedical networks (or graphs) are universal descriptors for systems of interacting elements, from molecular interactions and disease co-morbidity to healthcare systems and scientific knowledge. Advances in artificial intelligence,…

Machine Learning · Computer Science 2025-02-07 Michelle M. Li , Kexin Huang , Marinka Zitnik

Graph neural networks (GNNs) are a powerful tool to learn representations on graphs by iteratively aggregating features from node neighbourhoods. Many variant models have been proposed, but there is limited understanding on both how to…

Machine Learning · Computer Science 2019-11-14 Michael Lingzhi Li , Meng Dong , Jiawei Zhou , Alexander M. Rush

In this paper, we propose a flexible notion of characteristic functions defined on graph vertices to describe the distribution of vertex features at multiple scales. We introduce FEATHER, a computationally efficient algorithm to calculate a…

Machine Learning · Computer Science 2020-08-18 Benedek Rozemberczki , Rik Sarkar

Graph neural networks trained to predict observable dynamics can be used to decompose the temporal activity of complex heterogeneous systems into simple, interpretable representations. Here we apply this framework to simulated neural…

Neurons and Cognition · Quantitative Biology 2026-02-17 Cédric Allier , Larissa Heinrich , Magdalena Schneider , Stephan Saalfeld

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

Graph Neural Nets (GNNs) have received increasing attentions, partially due to their superior performance in many node and graph classification tasks. However, there is a lack of understanding on what they are learning and how sophisticated…

Machine Learning · Computer Science 2020-06-11 Ting Chen , Song Bian , Yizhou Sun

Generative methods for graphs need to be sufficiently flexible to model complex dependencies between sets of nodes. At the same time, the generated graphs need to satisfy domain-dependent feasibility conditions, that is, they should not…

Machine Learning · Computer Science 2025-01-22 Stefan Mautner , Rolf Backofen , Fabrizio Costa

The large-scale properties of chemical reaction systems, such as the metabolism, can be studied with graph-based methods. To do this, one needs to reduce the information -- lists of chemical reactions -- available in databases. Even for the…

Molecular Networks · Quantitative Biology 2009-09-25 Petter Holme

The problem of multilabel classification when the labels are related through a hierarchical categorization scheme occurs in many application domains such as computational biology. For example, this problem arises naturally when trying to…

Machine Learning · Computer Science 2012-05-14 Sara Mostafavi , Quaid Morris

Gene expression analysis aims at identifying the genes able to accurately predict biological parameters like, for example, disease subtyping or progression. While accurate prediction can be achieved by means of many different techniques,…

Methodology · Statistics 2008-09-11 Christine De Mol , Sofia Mosci , Magali Traskine , Alessandro Verri

Neural networks for structured data like graphs have been studied extensively in recent years. To date, the bulk of research activity has focused mainly on static graphs. However, most real-world networks are dynamic since their topology…

Machine Learning · Computer Science 2020-03-03 Changmin Wu , Giannis Nikolentzos , Michalis Vazirgiannis

Many algorithms for ranked data become computationally intractable as the number of objects grows due to the complex geometric structure induced by rankings. An additional challenge is posed by partial rankings, i.e. rankings in which the…

Machine Learning · Computer Science 2022-07-19 Michelangelo Conserva , Marc Peter Deisenroth , K S Sesh Kumar

Hypergraphs are a powerful abstraction for representing higher-order interactions between entities of interest. To exploit these relationships in making downstream predictions, a variety of hypergraph neural network architectures have…

Machine Learning · Computer Science 2023-06-21 Yuxin Wang , Quan Gan , Xipeng Qiu , Xuanjing Huang , David Wipf

In this work, we present a probabilistic model for directed graphs where nodes have attributes and labels. This model serves as a generative classifier capable of predicting the labels of unseen nodes using either maximum likelihood or…

Machine Learning · Computer Science 2025-01-06 Diego Huerta , Gerardo Arizmendi

Graph Neural Networks (GNNs) typically operate by message-passing, where the state of a node is updated based on the information received from its neighbours. Most message-passing models act as graph convolutions, where features are mixed…