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In this paper, we formalize practical byte pair encoding tokenization as it is used in large language models and other NLP systems, in particular we formally define and investigate the semantics of the SentencePiece and HuggingFace…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Martin Berglund , Brink van der Merwe

Hypergraphs play a pivotal role in the modelling of data featuring higher-order relations involving more than two entities. Hypergraph neural networks emerge as a powerful tool for processing hypergraph-structured data, delivering…

Machine Learning · Computer Science 2024-06-04 Zexi Liu , Bohan Tang , Ziyuan Ye , Xiaowen Dong , Siheng Chen , Yanfeng Wang

Leveraging Large Language Models (LLMs) for Knowledge Graph Completion (KGC) is promising but hindered by a fundamental granularity mismatch. LLMs operate on fragmented token sequences, whereas entities are the fundamental units in…

Computation and Language · Computer Science 2026-02-27 Siyue Su , Jian Yang , Bo Li , Guanglin Niu

Graph Transformers, which incorporate self-attention and positional encoding, have recently emerged as a powerful architecture for various graph learning tasks. Despite their impressive performance, the complex non-convex interactions…

Machine Learning · Computer Science 2024-06-05 Hongkang Li , Meng Wang , Tengfei Ma , Sijia Liu , Zaixi Zhang , Pin-Yu Chen

Graph Transformers have recently attracted attention for molecular property prediction by combining the inductive biases of graph neural networks (GNNs) with the global receptive field of Transformers. However, many existing hybrid…

Machine Learning · Computer Science 2026-04-09 Yi Yang , Ovidiu Daescu

The application of large language models (LLMs) to graph data has attracted a lot of attention recently. LLMs allow us to use deep contextual embeddings from pretrained models in text-attributed graphs, where shallow embeddings are often…

Artificial Intelligence · Computer Science 2025-02-19 Shima Khoshraftar , Niaz Abedini , Amir Hajian

Graph Neural Networks (GNNs) are widely used in graph data mining tasks. Traditional GNNs follow a message passing scheme that can effectively utilize local and structural information. However, the phenomena of over-smoothing and…

Machine Learning · Computer Science 2025-04-14 Zijie Zhou , Zhaoqi Lu , Xuekai Wei , Rongqin Chen , Shenghui Zhang , Pak Lon Ip , Leong Hou U

Traditionally, NLP performance improvement has been focused on improving models and increasing the number of model parameters. NLP vocabulary construction has remained focused on maximizing the number of words represented through subword…

Computation and Language · Computer Science 2023-04-26 Sandeep Mehta , Darpan Shah , Ravindra Kulkarni , Cornelia Caragea

The goal of graph summarization is to represent large graphs in a structured and compact way. A graph summary based on equivalence classes preserves pre-defined features of a graph's vertex within a $k$-hop neighborhood such as the vertex…

Machine Learning · Computer Science 2022-12-09 Maximilian Blasi , Manuel Freudenreich , Johannes Horvath , David Richerby , Ansgar Scherp

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2014-01-20 Brian Baingana , Georgios B. Giannakis

Predicting linearized Abstract Meaning Representation (AMR) graphs using pre-trained sequence-to-sequence Transformer models has recently led to large improvements on AMR parsing benchmarks. These parsers are simple and avoid explicit…

Computation and Language · Computer Science 2021-11-01 Jiawei Zhou , Tahira Naseem , Ramón Fernandez Astudillo , Young-Suk Lee , Radu Florian , Salim Roukos

Graph Transformer (GT) has recently emerged as a promising neural network architecture for learning graph-structured data. However, its global attention mechanism with quadratic complexity concerning the graph scale prevents wider…

Machine Learning · Computer Science 2024-12-09 Ningyi Liao , Zihao Yu , Siqiang Luo

We propose a generalization of transformer neural network architecture for arbitrary graphs. The original transformer was designed for Natural Language Processing (NLP), which operates on fully connected graphs representing all connections…

Machine Learning · Computer Science 2021-01-26 Vijay Prakash Dwivedi , Xavier Bresson

Graph Transformer is a new architecture that surpasses GNNs in graph learning. While there emerge inspiring algorithm advancements, their practical adoption is still limited, particularly on real-world graphs involving up to millions of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-22 Meng Zhang , Jie Sun , Qinghao Hu , Peng Sun , Zeke Wang , Yonggang Wen , Tianwei Zhang

Large language model (LLM) tokenizers act as structured compressors: by mapping text to discrete token sequences, they determine token count (and thus compute and context usage) and the statistical structure seen by downstream models.…

Information Theory · Computer Science 2026-01-15 Mete Erdogan , Abhiram Gorle , Shubham Chandak , Mert Pilanci , Tsachy Weissman

Text-attributed graphs (TAGs) have emerged as a powerful representation for modeling complex relationships across diverse domains. With the rise of large language models (LLMs), there is growing interest in leveraging their capabilities for…

Machine Learning · Computer Science 2025-07-29 Jianyuan Bo , Hao Wu , Yuan Fang

Graph Neural Networks are notorious for its memory consumption. A recent Transformer-based GNN called Graph Transformer is shown to obtain superior performances when long range dependencies exist. However, combining graph data and…

Machine Learning · Computer Science 2024-03-25 Eugene Ku

We introduce graphcodes, a novel multi-scale summary of the topological properties of a dataset that is based on the well-established theory of persistent homology. Graphcodes handle datasets that are filtered along two real-valued scale…

Algebraic Topology · Mathematics 2024-05-24 Michael Kerber , Florian Russold

Recent years have witnessed the emerging success of graph neural networks (GNNs) for modeling structured data. However, most GNNs are designed for homogeneous graphs, in which all nodes and edges belong to the same types, making them…

Machine Learning · Computer Science 2020-03-04 Ziniu Hu , Yuxiao Dong , Kuansan Wang , Yizhou Sun

Workbook-scale spreadsheet understanding is increasingly important for language-model-based data analysis agents, but remains challenging because relevant information is often distributed across multiple sheets with heterogeneous schemas,…

Artificial Intelligence · Computer Science 2026-05-08 Yiming Lei , Yiqi Wang , Yujia Zhang , Bo Guan , Depei Zhu , Chunhui Wang , Zhuonan Hao , Tianyu Shi