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In this paper, we propose a novel model for high-dimensional data, called the Hybrid Orthogonal Projection and Estimation (HOPE) model, which combines a linear orthogonal projection and a finite mixture model under a unified generative…

Machine Learning · Computer Science 2016-04-26 Shiliang Zhang , Hui Jiang

We study positional encodings for multi-view transformers that process tokens from a set of posed input images, and seek a mechanism that encodes patches uniquely, allows $SE(3)$-invariant attention with multi-frequency similarity, and can…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Yu Wu , Minsik Jeon , Jen-Hao Rick Chang , Oncel Tuzel , Shubham Tulsiani

To take full advantage of fast-growing unlabeled networked data, this paper introduces a novel self-supervised strategy for graph representation learning by exploiting natural supervision provided by the data itself. Inspired by human…

Machine Learning · Computer Science 2025-11-20 Zhen Peng , Yixiang Dong , Minnan Luo , Xiao-Ming Wu , Qinghua Zheng

Learning universal graph representations across heterogeneous domains is difficult because graph datasets differ in topology, node-attribute semantics, feature dimensions, and even attribute availability. We propose GraphVec, a…

Machine Learning · Computer Science 2026-05-08 Qi Feng , Jicong Fan

Positional encoding has become a standard component in graph learning, especially for graph Transformers and other models that must distinguish structurally similar nodes, yet its fundamental identifiability remains poorly understood. In…

Information Theory · Computer Science 2026-03-27 Zimo Yan , Zheng Xie , Chang Liu , Yiqin Lv , Runfan Duan

Pretraining plays a pivotal role in acquiring generalized knowledge from large-scale data, achieving remarkable successes as evidenced by large models in CV and NLP. However, progress in the graph domain remains limited due to fundamental…

Artificial Intelligence · Computer Science 2024-06-21 Yu Song , Haitao Mao , Jiachen Xiao , Jingzhe Liu , Zhikai Chen , Wei Jin , Carl Yang , Jiliang Tang , Hui Liu

Graph transformers need strong inductive biases to derive meaningful attention scores. Yet, current methods often fall short in capturing longer ranges, hierarchical structures, or community structures, which are common in various graphs…

Machine Learning · Computer Science 2024-05-28 Yuankai Luo , Hongkang Li , Lei Shi , Xiao-Ming Wu

This paper introduces a novel approach to position embeddings in transformer models, named "Exact Positional Embeddings" (ExPE). An absolute positional embedding method that can extrapolate to sequences of lengths longer than the ones it…

Computation and Language · Computer Science 2025-10-06 Aleksis Datseris , Sylvia Vassileva , Ivan Koychev , Svetla Boytcheva

Positional encoding is essential for large language models (LLMs) to represent sequence order, yet recent studies show that Rotary Position Embedding (RoPE) can induce massive activation. We investigate the source of these instabilities via…

Computation and Language · Computer Science 2026-01-07 Jing Xiong , Liyang Fan , Hui Shen , Zunhai Su , Min Yang , Lingpeng Kong , Ngai Wong

Graph Neural Networks (GNNs) have revolutionized the field of graph learning by learning expressive graph representations from massive graph data. As a common pattern to train powerful GNNs, the "pre-training, adaptation" scheme first…

Machine Learning · Computer Science 2025-10-28 Xingbo Fu , Zhenyu Lei , Zihan Chen , Binchi Zhang , Chuxu Zhang , Jundong Li

Pretraining has been widely explored to augment the adaptability of graph learning models to transfer knowledge from large datasets to a downstream task, such as link prediction or classification. However, the gap between training…

Information Retrieval · Computer Science 2024-03-29 Mingdai Yang , Zhiwei Liu , Liangwei Yang , Xiaolong Liu , Chen Wang , Hao Peng , Philip S. Yu

Recent advances in Transformer models allow for unprecedented sequence lengths, due to linear space and time complexity. In the meantime, relative positional encoding (RPE) was proposed as beneficial for classical Transformers and consists…

Machine Learning · Computer Science 2021-06-11 Antoine Liutkus , Ondřej Cífka , Shih-Lun Wu , Umut Şimşekli , Yi-Hsuan Yang , Gaël Richard

Unsupervised graph representation learning(GRL) aims to distill diverse graph information into task-agnostic embeddings without label supervision. Due to a lack of support from labels, recent representation learning methods usually adopt…

Machine Learning · Computer Science 2023-04-18 Bei Lin , You Li , Ning Gui , Zhuopeng Xu , Zhiwu Yu

Graph Transformers are popular neural networks that extend the well-known Transformer architecture to the graph domain. These architectures operate by applying self-attention on graph nodes and incorporating graph structure through the use…

Machine Learning · Computer Science 2025-02-04 Linus Bao , Emily Jin , Michael Bronstein , İsmail İlkan Ceylan , Matthias Lanzinger

Supervised learning with tabular data presents unique challenges, including low data sizes, the absence of structural cues, and heterogeneous features spanning both categorical and continuous domains. Unlike vision and language tasks, where…

Machine Learning · Computer Science 2025-12-18 Yunze Leng , Rohan Ghosh , Mehul Motani

Graph neural networks (GNNs) have become the standard learning architectures for graphs. GNNs have been applied to numerous domains ranging from quantum chemistry, recommender systems to knowledge graphs and natural language processing. A…

Machine Learning · Computer Science 2022-02-11 Vijay Prakash Dwivedi , Anh Tuan Luu , Thomas Laurent , Yoshua Bengio , Xavier Bresson

Positional encoding plays a pivotal role in determin?ing the extrapolation and generalization performance of wireless foundation models for channel state information (CSI) modeling, latent characterization, and task-specific prediction.…

Signal Processing · Electrical Eng. & Systems 2026-05-05 Chenyu Zhang , Xinchen Lyu , Chenshan Ren , Shuhan Liu , Qimei Cui

In recent years, graph neural networks (GNNs) have facilitated the development of graph data mining. However, training GNNs requires sufficient labeled task-specific data, which is expensive and sometimes unavailable. To be less dependent…

Machine Learning · Computer Science 2025-10-15 Shengyin Sun , Chen Ma , Jiehao Chen

Positional encoding (PE) underpins how permutation-invariant Transformers represent sequence order, yet how positional information is processed and stored remains poorly understood. Modern PE methods such as RoPE still struggle on tasks…

Computation and Language · Computer Science 2026-05-29 Pierre-Antoine Lequeu , Camille Barboule , Benjamin Piwowarski

Adaptability is central to autonomy. Intuitively, for high-dimensional learning problems such as navigating based on vision, internal models with higher complexity allow to accurately encode the information available. However, most learning…

Robotics · Computer Science 2017-12-15 Thushan Ganegedara , Lionel Ott , Fabio Ramos
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