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Linear attention and state-space models offer constant-memory alternatives to softmax attention, but often struggle with in-context associative recall. The Delta Rule mitigates this by writing each token via one step of online gradient…

Machine Learning · Computer Science 2026-05-14 Chenyu Zhou , Hongpei Li , Yuerou Liu , Jianghao Lin , Dongdong Ge , Yinyu Ye

Linear Attention (LA) offers a promising paradigm for scaling large language models (LLMs) to long sequences by avoiding the quadratic complexity of self-attention. Recent LA models such as Mamba2 and GDN interpret linear recurrences as…

Machine Learning · Computer Science 2026-05-08 Yulong Huang , Xiang Liu , Hongxiang Huang , Xiaopeng Lin , Zunchang Liu , Xiaowen Chu , Zeke Xie , Bojun Cheng

Transformers with linear attention (i.e., linear transformers) and state-space models have recently been suggested as a viable linear-time alternative to transformers with softmax attention. However, these models still underperform…

Machine Learning · Computer Science 2025-01-16 Songlin Yang , Bailin Wang , Yu Zhang , Yikang Shen , Yoon Kim

Linear attention mechanisms have emerged as promising alternatives to softmax attention, offering linear-time complexity during inference. Recent advances such as Gated DeltaNet (GDN) and Kimi Delta Attention (KDA) have demonstrated that…

Machine Learning · Computer Science 2026-05-05 Pingwei Sun , Yuxuan Hu , Jianchao Tan , Xue Wang , Jiaqi Zhang , Yifan Lu , Yerui Sun , Yuchen Xie , Xunliang Cai

Linear attention replaces the unbounded cache of softmax attention with a fixed-size recurrent state, reducing sequence mixing to linear time and decoding to constant memory. The hard part is not just what to forget, but how to edit this…

Artificial Intelligence · Computer Science 2026-05-22 Ali Hatamizadeh , Yejin Choi , Jan Kautz

Sequence modeling is currently dominated by causal transformer architectures that use softmax self-attention. Although widely adopted, transformers require scaling memory and compute linearly during inference. A recent stream of work…

Long-context language modeling remains central to modern sequence modeling, but the quadratic cost of Transformer attention makes scaling computationally prohibitive. Linear recurrent models address this bottleneck by compressing the…

Machine Learning · Computer Science 2026-05-12 Jiaxuan Zou , Ruifeng Ren , Yong Liu

Linear transformers have emerged as a subquadratic-time alternative to softmax attention and have garnered significant interest due to their fixed-size recurrent state that lowers inference cost. However, their original formulation suffers…

Computation and Language · Computer Science 2024-05-13 Jean Mercat , Igor Vasiljevic , Sedrick Keh , Kushal Arora , Achal Dave , Adrien Gaidon , Thomas Kollar

Linear attention offers a linear-time alternative to self-attention but often struggles to capture long-range patterns. We revisit linear attention through a prediction-correction lens and show that prevalent variants can be written as a…

Machine Learning · Computer Science 2025-10-01 Xunhao Lai , Jialiang Kang , Jianqiao Lu , Tong Lin , Pengyu Zhao

Many neural networks exhibit stability in their activation patterns over time in response to inputs from sensors operating under real-world conditions. By capitalizing on this property of natural signals, we propose a Recurrent Neural…

Neural and Evolutionary Computing · Computer Science 2016-12-19 Daniel Neil , Jun Haeng Lee , Tobi Delbruck , Shih-Chii Liu

Recurrent Neural Networks (RNNs) are useful in temporal sequence tasks. However, training RNNs involves dense matrix multiplications which require hardware that can support a large number of arithmetic operations and memory accesses.…

Machine Learning · Computer Science 2023-12-18 Xi Chen , Chang Gao , Zuowen Wang , Longbiao Cheng , Sheng Zhou , Shih-Chii Liu , Tobi Delbruck

Recent efficient sequence modeling methods such as Gated DeltaNet, TTT, and RWKV-7 have achieved performance improvements by supervising the recurrent memory management through Delta learning rule. Unlike previous state-space models (e.g.,…

Machine Learning · Computer Science 2025-12-04 Jiaxi Hu , Yongqi Pan , Jusen Du , Disen Lan , Xiaqiang Tang , Qingsong Wen , Yuxuan Liang , Weigao Sun

Linear Recurrent Neural Networks (linear RNNs) have emerged as competitive alternatives to Transformers for sequence modeling, offering efficient training and linear-time inference. However, existing architectures face a fundamental…

Machine Learning · Computer Science 2025-10-24 Julien Siems , Timur Carstensen , Arber Zela , Frank Hutter , Massimiliano Pontil , Riccardo Grazzi

Linear Transformers have gained attention as efficient alternatives to standard Transformers, but their performance in retrieval and long-context tasks has been limited. To address these limitations, recent work has explored two distinct…

Computation and Language · Computer Science 2025-03-07 Songlin Yang , Jan Kautz , Ali Hatamizadeh

Attention Residuals replace standard additive residual connections with learned softmax attention over previous layer outputs, enabling selective cross-layer routing. However, standard Attention Residuals still attend over cumulative hidden…

Machine Learning · Computer Science 2026-05-20 Cheng Luo , Zefan Cai , Junjie Hu

Real-time recurrent learning (RTRL) for sequence-processing recurrent neural networks (RNNs) offers certain conceptual advantages over backpropagation through time (BPTT). RTRL requires neither caching past activations nor truncating…

Machine Learning · Computer Science 2024-02-29 Kazuki Irie , Anand Gopalakrishnan , Jürgen Schmidhuber

Modeling long sequences of user behaviors has emerged as a critical frontier in generative recommendation. However, existing solutions face a dilemma: linear attention mechanisms achieve efficiency at the cost of retrieval precision due to…

Information Retrieval · Computer Science 2026-02-23 Lei Xin , Yuhao Zheng , Ke Cheng , Changjiang Jiang , Zifan Zhang , Fanhu Zeng

Linear attention reduces the quadratic cost of softmax attention to $\mathcal{O}(T)$, but its memory state grows as $\mathcal{O}(T)$ in Frobenius norm, causing progressive interference between stored associations. We introduce…

Machine Learning · Computer Science 2026-05-13 Vishal Pandey , Gopal Singh

Deploying Large Language Models (LLMs) on edge devices remains challenging due to their quadratically increasing computations with the sequence length. Existing studies for dynamic attention pruning are designed for hardware with massively…

Artificial Intelligence · Computer Science 2025-07-29 Jiawen Qi , Chang Gao , Zhaochun Ren , Qinyu Chen

We investigate the expressive power of hybrid recurrent-attention decoders, a class of architectures used in recent open-source language models such as Qwen3-Next and its successors. These models combine Gated Attention heads with recurrent…

Machine Learning · Computer Science 2026-05-19 Tomasz Steifer
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