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A graph neural network (GNN) is a good choice for predicting the chemical properties of molecules. Compared with other deep networks, however, the current performance of a GNN is limited owing to the "curse of depth." Inspired by…

Machine Learning · Computer Science 2020-08-19 Katsuhiko Ishiguro , Kenta Oono , Kohei Hayashi

Graph is an usual representation of relational data, which are ubiquitous in manydomains such as molecules, biological and social networks. A popular approach to learningwith graph structured data is to make use of graph kernels, which…

Machine Learning · Computer Science 2022-08-02 Dai Hai Nguyen , Canh Hao Nguyen , Hiroshi Mamitsuka

Inspired by the success of large language models (LLM) for DNA and proteins, several LLM for RNA have been developed recently. RNA-LLM uses large datasets of RNA sequences to learn, in a self-supervised way, how to represent each RNA base…

Artificial Intelligence · Computer Science 2025-02-04 L. I. Zablocki , L. A. Bugnon , M. Gerard , L. Di Persia , G. Stegmayer , D. H. Milone

The Weisfeiler-Lehman (WL) test is a widely used algorithm in graph machine learning, including graph kernels, graph metrics, and graph neural networks. However, it focuses only on the consistency of the graph, which means that it is unable…

Machine Learning · Computer Science 2023-05-02 Zhongxi Fang , Jianming Huang , Xun Su , Hiroyuki Kasai

Graph kernels based on the $1$-dimensional Weisfeiler-Leman algorithm and corresponding neural architectures recently emerged as powerful tools for (supervised) learning with graphs. However, due to the purely local nature of the…

Data Structures and Algorithms · Computer Science 2020-10-20 Christopher Morris , Gaurav Rattan , Petra Mutzel

The Weisfeiler-Lehman (WL) test is a classical procedure for graph isomorphism testing. The WL test has also been widely used both for designing graph kernels and for analyzing graph neural networks. In this paper, we propose the…

Machine Learning · Computer Science 2022-02-08 Samantha Chen , Sunhyuk Lim , Facundo Mémoli , Zhengchao Wan , Yusu Wang

Link prediction is one important application of graph neural networks (GNNs). Most existing GNNs for link prediction are based on one-dimensional Weisfeiler-Lehman (1-WL) test. 1-WL-GNNs first compute node representations by iteratively…

Machine Learning · Computer Science 2022-06-22 Yang Hu , Xiyuan Wang , Zhouchen Lin , Pan Li , Muhan Zhang

Predicting the secondary structure of RNA is a core challenge in computational biology, essential for understanding molecular function and designing novel therapeutics. The field has evolved from foundational but accuracy-limited…

Biomolecules · Quantitative Biology 2026-05-20 Giuseppe Sacco , Giovanni Bussi , Guido Sanguinetti

Current GNN architectures use a vertex neighborhood aggregation scheme, which limits their discriminative power to that of the 1-dimensional Weisfeiler-Lehman (WL) graph isomorphism test. Here, we propose a novel graph convolution operator…

Machine Learning · Computer Science 2020-09-22 Clemens Damke , Vitalik Melnikov , Eyke Hüllermeier

We introduce a novel fully convolutional neural network (FCN) architecture for predicting the secondary structure of ribonucleic acid (RNA) molecules. Interpreting RNA structures as weighted graphs, we employ deep learning to estimate the…

Biomolecules · Quantitative Biology 2024-06-07 Marc Harary , Chengxin Zhang

The Weisfeiler-Lehman graph kernels are among the most prevalent graph kernels due to their remarkable time complexity and predictive performance. Their key concept is based on an implicit comparison of neighborhood representing trees with…

Machine Learning · Computer Science 2021-01-21 Till Hendrik Schulz , Tamás Horváth , Pascal Welke , Stefan Wrobel

Subgraph representation learning has been effective in solving various real-world problems. However, current graph neural networks (GNNs) produce suboptimal results for subgraph-level tasks due to their inability to capture complex…

Machine Learning · Computer Science 2025-11-12 Dongkwan Kim , Alice Oh

Most graph kernels are an instance of the class of $\mathcal{R}$-Convolution kernels, which measure the similarity of objects by comparing their substructures. Despite their empirical success, most graph kernels use a naive aggregation of…

Machine Learning · Computer Science 2019-10-31 Matteo Togninalli , Elisabetta Ghisu , Felipe Llinares-López , Bastian Rieck , Karsten Borgwardt

Graph neural networks are designed to learn functions on graphs. Typically, the relevant target functions are invariant with respect to actions by permutations. Therefore the design of some graph neural network architectures has been…

Machine Learning · Statistics 2022-11-03 Ningyuan Huang , Soledad Villar

Secondary structure plays an important role in determining the function of non-coding RNAs. Hence, identifying RNA secondary structures is of great value to research. Computational prediction is a mainstream approach for predicting RNA…

Biomolecules · Quantitative Biology 2021-09-15 Qi Zhao , Zheng Zhao , Xiaoya Fan , Zhengwei Yuan , Qian Mao , Yudong Yao

The Human Genome Project has led to an exponential increase in data related to the sequence, structure, and function of biomolecules. Bioinformatics is an interdisciplinary research field that primarily uses computational methods to analyze…

Biomolecules · Quantitative Biology 2024-05-14 Yanlin Zhou , Tong Zhan , Yichao Wu , Bo Song , Chenxi Shi

RNA molecules are known to form complex secondary structures including pseudoknots. A systematic framework for the enumeration, classification and prediction of secondary structures is critical to determine the biological significance of…

Biomolecules · Quantitative Biology 2025-12-24 Rayan Ibrahim , Allison H. Moore

Graph Neural Networks (GNNs) have emerged as a dominant approach in graph representation learning, yet they often struggle to capture consistent similarity relationships among graphs. While graph kernel methods such as the Weisfeiler-Lehman…

Machine Learning · Computer Science 2024-12-12 Xuyuan Liu , Yinghao Cai , Qihui Yang , Yujun Yan

In this paper we present a novel graph kernel framework inspired the by the Weisfeiler-Lehman (WL) isomorphism tests. Any WL test comprises a relabelling phase of the nodes based on test-specific information extracted from the graph, for…

Machine Learning · Computer Science 2015-09-23 Giovanni Da San Martino , Nicolò Navarin , Alessandro Sperduti

In this paper, we present a novel interpretation of the so-called Weisfeiler-Lehman (WL) distance, introduced by Chen et al. (2022), using concepts from stochastic processes. The WL distance aims at comparing graphs with node features, has…

Machine Learning · Computer Science 2023-10-03 Samantha Chen , Sunhyuk Lim , Facundo Mémoli , Zhengchao Wan , Yusu Wang
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