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Transformer architecture has shown impressive performance in multiple research domains and has become the backbone of many neural network models. However, there is limited understanding on how it works. In particular, with a simple…

计算与语言 · 计算机科学 2023-10-31 Yuandong Tian , Yiping Wang , Beidi Chen , Simon Du

Recent studies identified that sequential Recommendation is improved by the attention mechanism. By following this development, we propose Relation-Aware Kernelized Self-Attention (RKSA) adopting a self-attention mechanism of the…

机器学习 · 计算机科学 2019-11-18 Mingi Ji , Weonyoung Joo , Kyungwoo Song , Yoon-Yeong Kim , Il-Chul Moon

Kernel approximation is widely used to scale up kernel SVM training and prediction. However, the memory and computation costs of kernel approximation models are still too high if we want to deploy them on memory-limited devices such as…

机器学习 · 计算机科学 2020-10-07 Zijian Lei , Liang Lan

Initially introduced as a machine translation model, the Transformer architecture has now become the foundation for modern deep learning architecture, with applications in a wide range of fields, from computer vision to natural language…

计算与语言 · 计算机科学 2024-06-21 Martin Courtois , Malte Ostendorff , Leonhard Hennig , Georg Rehm

At the core of the Transformer, the softmax normalizes the attention matrix to be right stochastic. Previous research has shown that this often de-stabilizes training and that enforcing the attention matrix to be doubly stochastic (through…

机器学习 · 计算机科学 2025-11-11 Jannis Born , Filip Skogh , Kahn Rhrissorrakrai , Filippo Utro , Nico Wagner , Aleksandros Sobczyk

Learning representations that capture both intrinsic data geometry and target-relevant structure remains a fundamental challenge, particularly in settings where data reduction must balance compression with predictive fidelity. While…

机器学习 · 计算机科学 2026-05-28 Sai-Aakash Ramesh , Archit Sood , Andrew Corbett , Tim Dodwell

Stein variational gradient descent (SVGD) and its variants have shown promising successes in approximate inference for complex distributions. In practice, we notice that the kernel used in SVGD-based methods has a decisive effect on the…

机器学习 · 计算机科学 2022-11-29 Qingzhong Ai , Shiyu Liu , Lirong He , Zenglin Xu

In the last few years, various types of machine learning algorithms, such as Support Vector Machine (SVM), Support Vector Regression (SVR), and Non-negative Matrix Factorization (NMF) have been introduced. The kernel approach is an…

机器学习 · 计算机科学 2022-12-16 Sajad Fathi Hafshejani , Zahra Moberfard

Given the query, key and value matrices $Q, K, V\in \mathbb{R}^{n\times d}$, the attention module is defined as $\mathrm{Att}(Q, K, V)=D^{-1}AV$ where $A=\exp(QK^\top/\sqrt{d})$ with $\exp(\cdot)$ applied entrywise, $D=\mathrm{diag}(A{\bf…

量子物理 · 物理学 2026-02-03 Zhao Song , Jianfei Xue , Jiahao Zhang , Lichen Zhang

While originally designed for natural language processing tasks, the self-attention mechanism has recently taken various computer vision areas by storm. However, the 2D nature of images brings three challenges for applying self-attention in…

计算机视觉与模式识别 · 计算机科学 2022-07-12 Meng-Hao Guo , Cheng-Ze Lu , Zheng-Ning Liu , Ming-Ming Cheng , Shi-Min Hu

Stochastic First-Order (SFO) methods have been a cornerstone in addressing a broad spectrum of modern machine learning (ML) challenges. However, their efficacy is increasingly questioned, especially in large-scale applications where…

机器学习 · 计算机科学 2024-08-01 Di Zhang , Suvrajeet Sen

In this paper, we introduce a new post-training compression paradigm for Large Language Models (LLMs) to facilitate their wider adoption. We delve into LLM weight low-rank decomposition, and find that the challenges of this task stem from…

计算与语言 · 计算机科学 2025-08-29 Zhihang Yuan , Yuzhang Shang , Yue Song , Dawei Yang , Qiang Wu , Yan Yan , Guangyu Sun

Self-Attention Mechanism (SAM) excels at distilling important information from the interior of data to improve the computational efficiency of models. Nevertheless, many Quantum Machine Learning (QML) models lack the ability to distinguish…

量子物理 · 物理学 2023-10-13 Ren-Xin Zhao , Jinjing Shi , Xuelong Li

Initially developed for natural language processing (NLP), Transformer model is now widely used for speech processing tasks such as speaker recognition, due to its powerful sequence modeling capabilities. However, conventional…

音频与语音处理 · 电气工程与系统科学 2022-01-28 Rui Wang , Junyi Ao , Long Zhou , Shujie Liu , Zhihua Wei , Tom Ko , Qing Li , Yu Zhang

Knowledge distillation (KD) in transformers often faces challenges due to misalignment in the number of attention heads between teacher and student models. Existing methods either require identical head counts or introduce projectors to…

计算机视觉与模式识别 · 计算机科学 2025-02-12 Zhaodong Bing , Linze Li , Jiajun Liang

Self-attention in Transformers is typically implemented as $\mathrm{softmax}(QK^\top/\sqrt{d})V$, where $Q=XW_Q$, $K=XW_K$, and $V=XW_V$ are learned linear projections of the input $X$. We ask whether these learned projections are…

机器学习 · 计算机科学 2026-05-05 Debarshi Kundu , Archisman Ghosh , Swaroop Ghosh , Vasant Honavar

Quantum-inspired singular value decomposition (SVD) is a technique to perform SVD in logarithmic time with respect to the dimension of a matrix, given access to the matrix embedded in a segment-tree data structure. The speedup is possible…

量子物理 · 物理学 2022-09-27 Iori Takeda , Souichi Takahira , Kosuke Mitarai , Keisuke Fujii

Low-rank decomposition, particularly Singular Value Decomposition (SVD), is a pivotal technique for mitigating the storage and computational demands of Large Language Models (LLMs). However, prevalent SVD-based approaches overlook the…

机器学习 · 计算机科学 2026-01-15 Lin Xv , Xian Gao , Ting Li , Yuzhuo Fu

The self-attention mechanism, at the heart of the Transformer model, is able to effectively model pairwise interactions between tokens. However, numerous recent works have shown that it is unable to perform basic tasks involving detecting…

机器学习 · 计算机科学 2026-02-03 Sayak Chakrabarti , Toniann Pitassi , Josh Alman

Vision Transformers (ViTs) have achieved state-of-the-art performance in image classification, yet their attention mechanisms often remain opaque and exhibit dense, non-structured behaviors. In this work, we adapt our previously proposed…

计算机视觉与模式识别 · 计算机科学 2026-02-12 Vasileios Arampatzakis , George Pavlidis , Nikolaos Mitianoudis , Nikos Papamarkos