arXiv:2606. 29256v1 Announce Type: cross Abstract: In recent years, models based on the Transformer architecture have seen widespread applications and have become one of the core tools in the field of deep learning.
By Peilin Liu, Ding-Xuan Zhou
arXiv:2605. 18848v3 Announce Type: replace Abstract: This paper introduces Exact Linear Attention (ELA), a mechanism that achieves linear computational complexity for Transformer attention by exploiting the exact decomposition property of kernel functions, thereby eliminating approximation error.
By Weinuo Ou
arXiv:2606. 27748v1 Announce Type: cross Abstract: Transformer models rely on attention mechanism to capture long-range dependencies but suffer from quadratic complexity, limiting their scalability to long sequences.
By Haoran Zhang, Feng Zhou
arXiv:2605. 08475v3 Announce Type: replace-cross Abstract: In this paper, we study in-context kernel ridge regression (KRR) with Gaussian kernels and show, both theoretically and empirically, that a standard softmax-attention transformer can approximate the KRR predictor during its forward pass.
By Mingsong Yan, Dongyang Li, Charles Kulick, Sui Tang
The paper introduces Data-Adaptive Mahalanobis Cross-Head Attention (DAMCHA), a new attention mechanism that extends Multi-Head Attention by learning a full cross-head metric matrix, thereby capturing inter-head interactions beyond the block-diagonal structure of standard MHA. DAMCHA parameterizes this metric as an input-dependent function, allowing the attention geometry to adapt dynamically to the data’s intrinsic manifold structure. The authors also propose regularization techniques, such as stack-wise parameter sharing, to maintain computational efficiency and stable optimization, and demonstrate that DAMCHA-equipped Transformers outperform existing baselines on multiple benchmark tasks.
The paper introduces Data-Adaptive Mahalanobis Cross-Head Attention (DAMCHA), a new attention mechanism that extends Multi-Head Attention by learning a full cross-head metric matrix and adapting it to input data. DAMCHA captures inter-head interactions beyond the block-diagonal structure of standard MHA and uses input-dependent parameterization for dynamic attention geometry. The authors provide regularization techniques, such as stack-wise parameter sharing, to maintain efficiency and stability, and report that DAMCHA-based Transformers outperform baselines on several benchmarks.
By Zhenke Duan, Xin Li, Jiqun Pan, Dong Xiaofei, Hanwen Ning, Xinyuan Song