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Real-world heterogeneous graphs are inherently noisy and usually not in the optimal graph structures for downstream tasks, which often adversely affects the performance of GRL models in downstream tasks. Although Graph Structure Learning…

Machine Learning · Computer Science 2026-04-08 He Zhao , Zhiwei Zeng , Yongwei Wang , Chunyan Miao

Representational limits of message-passing graph neural networks (MP-GNNs), e.g., in terms of the Weisfeiler-Leman (WL) test for isomorphism, are well understood. Augmenting these graph models with topological features via persistent…

Machine Learning · Computer Science 2023-11-13 Johanna Immonen , Amauri H. Souza , Vikas Garg

Topological Neural Networks (TNNs) incorporate higher-order relational information beyond pairwise interactions, enabling richer representations than Graph Neural Networks (GNNs). Concurrently, topological descriptors based on persistent…

Machine Learning · Computer Science 2024-06-06 Yogesh Verma , Amauri H Souza , Vikas Garg

While many approaches to make neural networks more fathomable have been proposed, they are restricted to interrogating the network with input data. Measures for characterizing and monitoring structural properties, however, have not been…

Machine Learning · Computer Science 2019-09-30 Bastian Rieck , Matteo Togninalli , Christian Bock , Michael Moor , Max Horn , Thomas Gumbsch , Karsten Borgwardt

Federated learning (FL) is a distributed training paradigm that enables collaborative learning across clients without sharing local data, thereby preserving privacy. However, the increasing scale and complexity of modern deep models often…

Machine Learning · Computer Science 2025-05-20 Honggu Kang , Seohyeon Cha , Joonhyuk Kang

Traditional Graph Self-Supervised Learning (GSSL) struggles to capture complex structural properties well. This limitation stems from two main factors: (1) the inadequacy of conventional Graph Neural Networks (GNNs) in representing…

Machine Learning · Computer Science 2025-02-25 Asiri Wijesinghe , Hao Zhu , Piotr Koniusz

Persistent homology is a popular technique in topological data analysis that tracks the lifespans of homological features in a nested sequence of spaces. This data is typically presented in a multi-set called a persistence diagram or a…

Algebraic Topology · Mathematics 2025-11-26 Deni Salja

We propose an approach to learning with graph-structured data in the problem domain of graph classification. In particular, we present a novel type of readout operation to aggregate node features into a graph-level representation. To this…

Machine Learning · Computer Science 2021-05-18 Christoph D. Hofer , Florian Graf , Bastian Rieck , Marc Niethammer , Roland Kwitt

Topological descriptors have been increasingly utilized for capturing multiscale structural information in relational data. In this work, we consider various filtrations on the (box) product of graphs and the effect on their outputs on the…

Machine Learning · Computer Science 2026-02-09 Mattie Ji , Amauri H. Souza , Vikas Garg

We formulate an XAI-based model improvement approach for Graph Neural Networks (GNNs) for node classification, called Explanation Enhanced Graph Learning (EEGL). The goal is to improve predictive performance of GNN using explanations. EEGL…

Machine Learning · Computer Science 2024-03-13 Harish G. Naik , Jan Polster , Raj Shekhar , Tamás Horváth , György Turán

The study of evolution of networks has received increased interest with the recent discovery that many real-world networks possess many things in common, in particular the manner of evolution of such networks. By adding a dimension of time…

Combinatorics · Mathematics 2010-06-24 Anurat Chapanond , Mukkai S. Krishnamoorthy , G. M. Prabhu , J. Punin

Graphical models capture relations between entities in a wide range of applications including social networks, biology, and natural language processing, among others. Graph neural networks (GNN) are neural models that operate over graphs,…

Machine Learning · Computer Science 2024-02-08 Xu Zheng , Farhad Shirani , Tianchun Wang , Shouwei Gao , Wenqian Dong , Wei Cheng , Dongsheng Luo

Capitalizing on the intuitive premise that shape characteristics are more robust to perturbations, we bridge adversarial graph learning with the emerging tools from computational topology, namely, persistent homology representations of…

Machine Learning · Computer Science 2025-02-11 Naheed Anjum Arafat , Debabrota Basu , Yulia Gel , Yuzhou Chen

Graph contrastive learning (GCL) has achieved remarkable success by following the computer vision paradigm of preserving absolute similarity between augmented views. However, this approach faces fundamental challenges in graphs due to their…

Machine Learning · Computer Science 2025-05-13 Zhiyuan Ning , Pengfei Wang , Ziyue Qiao , Pengyang Wang , Yuanchun Zhou

Graph classification has gained significant attention due to its applications in chemistry, social networks, and bioinformatics. While Graph Neural Networks (GNNs) effectively capture local structural patterns, they often overlook global…

Machine Learning · Computer Science 2025-12-03 Ahmet Sami Korkmaz , Selim Coskunuzer , Md Joshem Uddin

Continual learning is an emerging paradigm in machine learning, wherein a model is exposed in an online fashion to data from multiple different distributions (i.e. environments), and is expected to adapt to the distribution change.…

Machine Learning · Computer Science 2022-03-29 Binghui Peng , Andrej Risteski

Link prediction is an important learning task for graph-structured data. In this paper, we propose a novel topological approach to characterize interactions between two nodes. Our topological feature, based on the extended persistent…

Machine Learning · Computer Science 2021-06-15 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Chao Chen

Graph Convolutional Networks (GCNs) gained traction for graph representation learning, with recent attention on improving performance on heterophilic graphs for various real-world applications. The localized feature aggregation in a typical…

Machine Learning · Computer Science 2025-07-30 Garv Kaushik

Graph representation learning aims to effectively encode high-dimensional sparse graph-structured data into low-dimensional dense vectors, which is a fundamental task that has been widely studied in a range of fields, including machine…

Graph representation learning is fundamental for analyzing graph-structured data. Exploring invariant graph representations remains a challenge for most existing graph representation learning methods. In this paper, we propose a cross-view…

Machine Learning · Computer Science 2025-04-15 Jie Chen , Hua Mao , Wai Lok Woo , Chuanbin Liu , Xi Peng