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We present a fully non neural learning framework based on Graph Laplacian Wavelet Transforms (GLWT). Unlike traditional architectures that rely on convolutional, recurrent, or attention based neural networks, our model operates purely in…

Machine Learning · Computer Science 2025-07-30 Andrew Kiruluta , Andreas Lemos , Priscilla Burity

Transformer architectures, underpinned by the self-attention mechanism, have achieved state-of-the-art results across numerous natural language processing (NLP) tasks by effectively modeling long-range dependencies. However, the…

Machine Learning · Computer Science 2025-04-15 Andrew Kiruluta , Priscilla Burity , Samantha Williams

Graph Signal Processing has become a very useful framework for signal operations and representations defined on irregular domains. Exploiting transformations that are defined on graph models can be highly beneficial when the graph encodes…

Machine Learning · Computer Science 2019-10-14 Yusuf Pilavci , Nicolas Farrugia

Transformer-based models have recently shown success in representation learning on graph-structured data beyond natural language processing and computer vision. However, the success is limited to small-scale graphs due to the drawbacks of…

Machine Learning · Computer Science 2022-10-05 Jinyoung Park , Seongjun Yun , Hyeonjin Park , Jaewoo Kang , Jisu Jeong , Kyung-Min Kim , Jung-woo Ha , Hyunwoo J. Kim

The Transformer architecture has gained growing attention in graph representation learning recently, as it naturally overcomes several limitations of graph neural networks (GNNs) by avoiding their strict structural inductive biases and…

Machine Learning · Statistics 2022-06-14 Dexiong Chen , Leslie O'Bray , Karsten Borgwardt

Graph-structured data plays a vital role in numerous domains, such as social networks, citation networks, commonsense reasoning graphs and knowledge graphs. While graph neural networks have been employed for graph processing, recent…

Computation and Language · Computer Science 2026-05-19 Wooyoung Kim , Byungyoon Park , Wooju Kim

The Transformer architecture has recently gained considerable attention in the field of graph representation learning, as it naturally overcomes several limitations of Graph Neural Networks (GNNs) with customized attention mechanisms or…

Machine Learning · Computer Science 2025-04-01 Jianqing Liang , Min Chen , Jiye Liang

We introduce a multi-windowed graph Fourier transform (MWGFT) for the joint vertex-frequency analysis of signals defined on graphs. Building on generalized translation and modulation induced by the graph Laplacian, the proposed framework…

Classical Analysis and ODEs · Mathematics 2026-01-28 Iulia Martina Bulai , Elena Cordero , Edoardo Pucci , Sandra Saliani

Transformers serve as the backbone architectures of Foundational Models, where domain-specific tokenizers allow them to adapt to various domains. Graph Transformers (GTs) have recently emerged as leading models in geometric deep learning,…

Neural and Evolutionary Computing · Computer Science 2025-04-03 Limei Wang , Kaveh Hassani , Si Zhang , Dongqi Fu , Baichuan Yuan , Weilin Cong , Zhigang Hua , Hao Wu , Ning Yao , Bo Long

Traffic forecasting is the foundation for intelligent transportation systems. Spatiotemporal graph neural networks have demonstrated state-of-the-art performance in traffic forecasting. However, these methods do not explicitly model some of…

Machine Learning · Computer Science 2024-03-05 Qipeng Qian , Tanwi Mallick

The graph Laplacian is an important tool in Graph Signal Processing (GSP) as its eigenvalue decomposition acts as an analogue to the Fourier transform and is known as the Graph Fourier Transform (GFT). The line graph has a GFT that is a…

Signal Processing · Electrical Eng. & Systems 2019-10-23 Ian M. T. Rooney , Parker S. Kuklinski , David A. Hague

Graph Comparative Learning (GCL) is a self-supervised method that combines the advantages of Graph Convolutional Networks (GCNs) and comparative learning, making it promising for learning node representations. However, the GCN encoders used…

Machine Learning · Computer Science 2023-12-12 Ruyue Liu , Rong Yin , Yong Liu , Weiping Wang

We propose an extension to the transformer neural network architecture for general-purpose graph learning by adding a dedicated pathway for pairwise structural information, called edge channels. The resultant framework - which we call…

Machine Learning · Computer Science 2022-06-06 Md Shamim Hussain , Mohammed J. Zaki , Dharmashankar Subramanian

Graph Transformer (GT), as a special type of Graph Neural Networks (GNNs), utilizes multi-head attention to facilitate high-order message passing. However, this also imposes several limitations in node classification applications: 1) nodes…

Machine Learning · Computer Science 2024-10-16 Jiajun Zhou , Xuanze Chen , Chenxuan Xie , Yu Shanqing , Qi Xuan , Xiaoniu Yang

We propose the Interferometric Graph Transform (IGT), which is a new class of deep unsupervised graph convolutional neural network for building graph representations. Our first contribution is to propose a generic, complex-valued spectral…

Machine Learning · Computer Science 2020-06-11 Edouard Oyallon

Many real-world relational systems, such as social networks and biological systems, contain dynamic interactions. When learning dynamic graph representation, it is essential to employ sequential temporal information and geometric structure.…

Machine Learning · Computer Science 2021-11-16 Bingxin Zhou , Xinliang Liu , Yuehua Liu , Yunying Huang , Pietro Liò , YuGuang Wang

We introduce GraViti, a transformer-based graph-level variational autoencoder that maps entire graphs to compact latent vectors. This design produces a true graph-level latent space that supports smooth interpolation, property-guided…

Machine Learning · Computer Science 2026-05-19 Roman Bresson , Konstantinos Divriotis , Johannes F. Lutzeyer , Iakovos Evdaimon , Michalis Vazirgiannis

Spectral graph convolution, an important tool of data filtering on graphs, relies on two essential decisions: selecting spectral bases for signal transformation and parameterizing the kernel for frequency analysis. While recent techniques…

Machine Learning · Computer Science 2025-05-15 Nian Liu , Xiaoxin He , Thomas Laurent , Francesco Di Giovanni , Michael M. Bronstein , Xavier Bresson

Multi-graph learning is crucial for extracting meaningful signals from collections of heterogeneous graphs. However, effectively integrating information across graphs with differing topologies, scales, and semantics, often in the absence of…

Machine Learning · Computer Science 2026-02-02 Zahra Moslemi , Ziyi Liang , Norbert Fortin , Babak Shahbaba

Transformer-based pre-trained models have gained much advance in recent years, becoming one of the most important backbones in natural language processing. Recent work shows that the attention mechanism inside Transformer may not be…

Computation and Language · Computer Science 2022-10-27 Yile Wang , Linyi Yang , Zhiyang Teng , Ming Zhou , Yue Zhang
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