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Related papers: Periodic RoPE for Infinite Context LLMs

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Large language models (LLMs) face significant challenges in handling long-context tasks because of their limited effective context window size during pretraining, which restricts their ability to generalize over extended sequences.…

Computation and Language · Computer Science 2024-09-05 Zhiyuan Hu , Yuliang Liu , Jinman Zhao , Suyuchen Wang , Yan Wang , Wei Shen , Qing Gu , Anh Tuan Luu , See-Kiong Ng , Zhiwei Jiang , Bryan Hooi

Transformers rely on positional encoding to compensate for the inherent permutation invariance of self-attention. Traditional approaches use absolute sinusoidal embeddings or learned positional vectors, while more recent methods emphasize…

Machine Learning · Computer Science 2025-11-18 Chase van de Geijn , Ayush Paliwal , Timo Lüddecke , Alexander S. Ecker

Rotary Positional Embeddings (RoPE) have become the standard for Large Language Models (LLMs) due to their ability to encode relative positions through geometric rotation. However, we identify a significant limitation we term ''Spectral…

Computation and Language · Computer Science 2026-02-02 Kanishk Awadhiya

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

To break the context limits of large language models (LLMs) that bottleneck reasoning accuracy and efficiency, we propose the Thread Inference Model (TIM), a family of LLMs trained for recursive and decompositional problem solving, and…

Computation and Language · Computer Science 2025-07-23 Hongyin Luo , Nathaniel Morgan , Tina Li , Derek Zhao , Ai Vy Ngo , Philip Schroeder , Lijie Yang , Assaf Ben-Kish , Jack O'Brien , James Glass

Transformer-based Large Language Models (LLMs) often impose limitations on the length of the text input to ensure the generation of fluent and relevant responses. This constraint restricts their applicability in scenarios involving long…

Computation and Language · Computer Science 2023-12-18 Weizhi Fei , Xueyan Niu , Pingyi Zhou , Lu Hou , Bo Bai , Lei Deng , Wei Han

Extending the context window of large language models typically requires training on sequences at the target length, incurring quadratic memory and computational costs that make long-context adaptation expensive and difficult to reproduce.…

Computation and Language · Computer Science 2026-05-15 Han Tian , Luxuan Chen , Xinran Chen , Rui Kong , Fang Wang , Jiamin Chen , Jinman Zhao , Yuchen Li , Jiashu Zhao , Shuaiqiang Wang , Haoyi Xiong , Dawei Yin

In Transformer-based architectures, the attention mechanism is inherently permutation-invariant with respect to the input sequence's tokens. To impose sequential order, token positions are typically encoded using a scheme with either fixed…

Machine Learning · Computer Science 2023-10-31 Giorgio Angelotti

Long-horizon tasks requiring multi-step reasoning and dynamic re-planning remain challenging for large language models (LLMs). Sequential prompting methods are prone to context drift, loss of goal information, and recurrent failure cycles,…

Artificial Intelligence · Computer Science 2025-10-30 Zhenyu Zhang , Tianyi Chen , Weiran Xu , Alex Pentland , Jiaxin Pei

Periodic or quasi-periodic phenomena reveal intrinsic characteristics in various natural processes, such as weather patterns, movement behaviors, traffic flows, and biological signals. Given that these phenomena span multiple modalities,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Yuting Zhang , Hao Lu , Qingyong Hu , Yin Wang , Kaishen Yuan , Xin Liu , Kaishun Wu

Modern large language models (LLMs) that rely on attention mechanisms are typically trained with fixed context lengths which enforce upper limits on the length of input sequences that they can handle at evaluation time. To use these models…

Artificial Intelligence · Computer Science 2023-08-22 Arka Pal , Deep Karkhanis , Manley Roberts , Samuel Dooley , Arvind Sundararajan , Siddartha Naidu

Position-controlled evaluation is standard for retrieval tasks such as Needle-in-a-Haystack and RULER, but mainstream reasoning benchmarks do not control positional placement of target tasks in long contexts. We audit 11 long-context…

Computation and Language · Computer Science 2026-05-25 Chuyifei Zhang , Hongyu Cui , Xiaowen Huang , Jitao Sang

To extend the context length of Transformer-based large language models (LLMs) and improve comprehension capabilities, we often face limitations due to computational resources and bounded memory storage capacity. This work introduces a…

Computation and Language · Computer Science 2024-06-11 Chensen Huang , Guibo Zhu , Xuepeng Wang , Yifei Luo , Guojing Ge , Haoran Chen , Dong Yi , Jinqiao Wang

Large language models (LLMs) based on the Transformer architecture usually have their context length limited due to the high training cost. Recent advancements extend the context window by adjusting the scaling factors of RoPE and…

Computation and Language · Computer Science 2025-11-25 Lei Yang , Shaoyang Xu , Jianxiang Peng , Shaolin Zhu , Deyi Xiong

Reinforcement learning with verifiable rewards, particularly Group Relative Policy Optimization (GRPO), has significantly advanced the reasoning capabilities of Large Language Models (LLMs). However, in complex tasks, GRPO frequently…

Artificial Intelligence · Computer Science 2026-05-08 Langlin Huang , Chengsong Huang , Jinyuan Li , Donghong Cai , Yuyi Yang , Jiaxin Huang

Recently, large language models (LLMs) have shown remarkable capabilities including understanding context, engaging in logical reasoning, and generating responses. However, this is achieved at the expense of stringent computational and…

Computation and Language · Computer Science 2024-05-30 Xindi Wang , Mahsa Salmani , Parsa Omidi , Xiangyu Ren , Mehdi Rezagholizadeh , Armaghan Eshaghi

Transformer-based end-to-end speech recognition models have received considerable attention in recent years due to their high training speed and ability to model a long-range global context. Position embedding in the transformer…

Sound · Computer Science 2021-07-14 Shengqiang Li , Menglong Xu , Xiao-Lei Zhang

Rotary Position Embedding (RoPE)-extension refers to modifying or generalizing the Rotary Position Embedding scheme to handle longer sequences than those encountered during pre-training. However, current extension strategies are highly…

Computation and Language · Computer Science 2026-02-02 Qingyuan Tian , Wenhong Zhu , Xiaoran Liu , Xiaofeng Wang , Rui Wang

Large language model (LLM) agents often struggle in long-context interactions. As the agent accumulates more interaction history, context management approaches such as sliding window and prompt compression may omit earlier structured…

Computation and Language · Computer Science 2026-04-28 Yating Wu , Yuhao Zhang , Sayan Ghosh , Sourya Basu , Anoop Deoras , Jun Huan , Gaurav Gupta

Transformers have revolutionized natural language processing, but their quadratic complexity with respect to sequence length remains a fundamental bottleneck for long-range modeling. While sparse attention mechanisms like RingAttention…

Computation and Language · Computer Science 2026-03-31 Dong Liu , Yanxuan Yu
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