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We propose a novel positional encoding for learning graph on Transformer architecture. Existing approaches either linearize a graph to encode absolute position in the sequence of nodes, or encode relative position with another node using…

Machine Learning · Computer Science 2022-10-17 Wonpyo Park , Woonggi Chang , Donggeon Lee , Juntae Kim , Seung-won Hwang

In recent years, mining the knowledge from asynchronous sequences by Hawkes process is a subject worthy of continued attention, and Hawkes processes based on the neural network have gradually become the most hotly researched fields,…

Machine Learning · Computer Science 2021-12-30 Lu-ning Zhang , Jian-wei Liu , Zhi-yan Song , Xin Zuo

Transformer-based models have become the dominant paradigm for neural combinatorial optimization (NCO) of vehicle routing problems (VRPs), yet the role of positional encoding (PE) in these architectures remains largely unexplored. Unlike…

Transformers are increasingly prevalent for multi-view computer vision tasks, where geometric relationships between viewpoints are critical for 3D perception. To leverage these relationships, multi-view transformers must use camera geometry…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Ruilong Li , Brent Yi , Junchen Liu , Hang Gao , Yi Ma , Angjoo Kanazawa

We introduce a new way of learning to encode position information for non-recurrent models, such as Transformer models. Unlike RNN and LSTM, which contain inductive bias by loading the input tokens sequentially, non-recurrent models are…

Machine Learning · Computer Science 2020-03-23 Xuanqing Liu , Hsiang-Fu Yu , Inderjit Dhillon , Cho-Jui Hsieh

Traffic forecasting is a key task in the field of Intelligent Transportation Systems. Recent research on traffic forecasting has mainly focused on combining graph neural networks (GNNs) with other models. However, GNNs only consider…

Artificial Intelligence · Computer Science 2026-04-21 Xiao Wang , Shun-Ren Yang

In-context learning is fundamental to modern Large Language Models (LLMs); however, prevailing architectures impose a rigid and fixed contextual structure by assigning linear or constant positional indices. Drawing on Cognitive Load Theory…

Machine Learning · Computer Science 2026-03-06 Huayang Li , Tianyu Zhao , Deng Cai , Richard Sproat

We present a new class of efficient attention mechanisms applying universal 3D Relative Positional Encoding (RPE) methods given by arbitrary integrable modulation functions $f$. They lead to the new class of 3D-Transformer models, called…

Machine Learning · Computer Science 2026-05-12 Byeongchan Kim , Arijit Sehanobish , Avinava Dubey , Min-hwan Oh , Krzysztof Choromanski

Transformers are state-of-the-art models for a variety of sequence modeling tasks. At their core is an attention function which models pairwise interactions between the inputs at every timestep. While attention is powerful, it does not…

Computation and Language · Computer Science 2021-03-23 Hao Peng , Nikolaos Pappas , Dani Yogatama , Roy Schwartz , Noah A. Smith , Lingpeng Kong

Attention patterns play a crucial role in both training and inference of large language models (LLMs). Prior works have identified individual patterns such as retrieval heads, sink heads, and diagonal traces, yet these observations remain…

Computation and Language · Computer Science 2026-01-30 Qingyue Yang , Jie Wang , Xing Li , Yinqi Bai , Xialiang Tong , Huiling Zhen , Jianye Hao , Mingxuan Yuan , Bin Li

Planning-based reinforcement learning for continuous control is bottlenecked by two practical issues: planning at primitive time scales leads to prohibitive branching and long horizons, while real environments are frequently partially…

Machine Learning · Computer Science 2026-02-24 Baiting Luo , Yunuo Zhang , Nathaniel S. Keplinger , Samir Gupta , Abhishek Dubey , Ayan Mukhopadhyay

Although large language models (LLMs) have achieved significant progress in handling long-context inputs, they still suffer from the ``lost-in-the-middle'' problem, where crucial information in the middle of the context is often…

Computation and Language · Computer Science 2025-03-07 Zhenghua Wang , Yiran Ding , Changze Lv , Zhibo Xu , Tianlong Li , Tianyuan Shi , Xiaoqing Zheng , Xuanjing Huang

Standard transformer attention computes pairwise token similarity but treats all tokens as equally salient and all positions as equally local, regardless of the informational structure of the input. We identify two complementary inductive…

Machine Learning · Computer Science 2026-05-27 Athanasios Zeris

Large Language Models (LLMs) have demonstrated remarkable capabilities across a wide range of natural language processing tasks. These capabilities stem primarily from the self-attention mechanism, which enables modeling of long-range…

Computation and Language · Computer Science 2026-01-05 Zeng You , Yaofo Chen , Shuhai Zhang , Zhijie Qiu , Tingyu Wu , Yingjian Li , Yaowei Wang , Mingkui Tan

In this work, we leverage the intrinsic segmentation of language sequences and design a new positional encoding method called Bilevel Positional Encoding (BiPE). For each position, our BiPE blends an intra-segment encoding and an…

Machine Learning · Computer Science 2024-06-18 Zhenyu He , Guhao Feng , Shengjie Luo , Kai Yang , Liwei Wang , Jingjing Xu , Zhi Zhang , Hongxia Yang , Di He

We introduce a novel positional encoding strategy for Transformer-style models, addressing the shortcomings of existing, often ad hoc, approaches. Our framework provides a flexible mapping from the algebraic specification of a domain to an…

Machine Learning · Computer Science 2024-11-01 Konstantinos Kogkalidis , Jean-Philippe Bernardy , Vikas Garg

Relative position embedding has become a standard mechanism for encoding positional information in Transformers. However, existing formulations are typically limited to a fixed geometric space, namely 1D sequences or regular 2D/3D grids,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Yichen Xie , Depu Meng , Chensheng Peng , Yihan Hu , Quentin Herau , Masayoshi Tomizuka , Wei Zhan

Standard transformer architectures apply the same number of layers to every token regardless of contextual difficulty. We present Token-Selective Attention (TSA), a learned per-token gate on residual updates between consecutive transformer…

Machine Learning · Computer Science 2026-05-08 Ahmed Abdelmuniem Abdalla Mohammed

Tables are ubiquitous across various domains for concisely representing structured information. Empowering large language models (LLMs) to reason over tabular data represents an actively explored direction. However, since typical LLMs only…

Computation and Language · Computer Science 2024-10-21 Jia-Nan Li , Jian Guan , Wei Wu , Zhengtao Yu , Rui Yan

The Position Embedding (PE) is critical for Vision Transformers (VTs) due to the permutation-invariance of self-attention operation. By analyzing the input and output of each encoder layer in VTs using reparameterization and visualization,…

Computer Vision and Pattern Recognition · Computer Science 2022-12-23 Runyi Yu , Zhennan Wang , Yinhuai Wang , Kehan Li , Yian Zhao , Jian Zhang , Guoli Song , Jie Chen