Computer Science ›› 2026, Vol. 53 ›› Issue (6A): 250300107-16.doi: 10.11896/jsjkx.250300107

• Artificial Intelligence • Previous Articles     Next Articles

Survey on Positional Encoding Algorithms in Deep Learning

YANG Geer1,5, WANG Xin2, SUN Wei1, WANG Xinge3, HU Zhongrui3, MENG Wenjun3, ZHANG Junqiang3, WU Xinghui3, LIU Jinshan4, YAN Yuming3   

  1. 1 Nanjing Software Technology Research Institute,Chinese Academy of Sciences,Nanjing 211100,China
    2 Suzhou University of Science and Technology,Suzhou,Jiangsu 215009,China
    3 Beijing Huadian E-commerce Technology Co.,Ltd.,Beijing 100073,China
    4 Beijing Satellite Manufacturing Factory Co.,Ltd.,Beijing 100094,China 5 Institute of AI for Industries,Chinese Academy of Sciences,Nanjing 211135,China
  • Online:2026-06-16 Published:2026-06-12
  • About author:YANG Geer,born in 2000,master.Her main research interests include sequence modeling and representation learning in generative artificial intelligence.
    LIU Jinshan,born in 1979,Ph.D,professor,Ph.D supervisor,is a member of CCF(No.13872M).His main research interests include intelligent manufacturing,production system,digital twin,Internet of Things system,industrial augmented reality and human-robot collaborative assembly.
  • Supported by:
    Frontier Technologies R&D Program of Jiangsu(BF2024052) and Technology Innovation R&D Project of Chengdu(2025-YF08-00097-GX).

Abstract: In deep learning,positional encoding constitutes a critical component for enhancing neural networks' capabilities in understanding sequence structures.Particularly within Transformers and their variants,positional encoding addresses the inherent limitation of the self-attention mechanism,which lacks the ability to intrinsically capture sequential order.This paper systematically reviews the theoretical foundations of positional encoding,the conceptual design of various encoding strategies,and their applications across diverse neural network architectures.Initially,the paper revisits traditional models such as Recurrent Neural Networks(RNNs) and Long Short-Term Memory networks(LSTMs),discussing their implicit methods of modeling sequence positions and examining the theoretical motivations behind the introduction of explicit positional encoding in Transformers.Subsequently,a detailed exposition is presented on absolute positional encoding strategies-including sinusoidal positional encoding and learnable positional embeddings-relative positional encoding methods such as Transformer-XL and RoPE,bias-based positional encoding methods like ALiBi and KERPLE,and recent optimization techniques tailored for extremely long sequence tasks,notably NTK-aware RoPE,YaRN,and CoPE.Moreover,the paper conducts an in-depth analysis of positional encoding's impact on model performance,encompassing computational efficiency,extrapolation capabilities,and modeling of long-range dependencies.Frontier topics including numerical stability and frequency spectrum optimization are also addressed.Finally,the study summarizes current research trends in positional encoding and outlines its future prospects in areas such as large-scale sequence modeling,hybrid network architectures,and hierarchical data structure modeling.The overarching aim is to provide researchers and practitioners with a comprehensive and detailed reference to facilitate the selection of appropriate positional encoding methods for specific tasks and to foster further advancements in related fields.

Key words: Positional encoding, Transformer models, Self-attention mechanism, Sequence modeling, Rotary positional encoding

CLC Number: 

  • TP183
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