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相关论文: Exact Sequence Interpolation with Transformers

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Transformer networks have seen great success in natural language processing and machine vision, where task objectives such as next word prediction and image classification benefit from nuanced context sensitivity across high-dimensional…

机器学习 · 计算机科学 2022-12-13 Yuxuan Li , James L. McClelland

Transformer models cannot easily scale to long sequences due to their O(N^2) time and space complexity. This has led to Transformer variants seeking to lower computational complexity, such as Longformer and Performer. While such models have…

计算与语言 · 计算机科学 2024-12-10 Guanghui Qin , Yukun Feng , Benjamin Van Durme

We describe an efficient hierarchical method to compute attention in the Transformer architecture. The proposed attention mechanism exploits a matrix structure similar to the Hierarchical Matrix (H-Matrix) developed by the numerical…

机器学习 · 计算机科学 2021-07-27 Zhenhai Zhu , Radu Soricut

Transformers are widely used in natural language processing, where they consistently achieve state-of-the-art performance. This is mainly due to their attention-based architecture, which allows them to model rich linguistic relations…

计算与语言 · 计算机科学 2022-11-29 Nikolaos Mylonas , Ioannis Mollas , Grigorios Tsoumakas

We analyse the computational power of transformer encoders as sequence-to-sequence functions on vectors. We show that average hard attention can be used to simulate arithmetic circuits if they are given as an input to an encoder. The…

计算复杂性 · 计算机科学 2026-05-07 Lena Ehrmuth , Laura Strieker

We present the Condensate Theorem: attention sparsity is a learned topological property, not an architectural constraint. Through empirical analysis of trained language models, we find that attention mass concentrates on a distinct…

机器学习 · 计算机科学 2026-02-11 Jorge L. Ruiz Williams

Multi-head self-attention-based Transformers have shown promise in different learning tasks. Albeit these models exhibit significant improvement in understanding short-term and long-term contexts from sequences, encoders of Transformers and…

计算与语言 · 计算机科学 2023-10-24 Ayan Sengupta , Md Shad Akhtar , Tanmoy Chakraborty

We consider mixed four-point correlators of 1/2-BPS operators $\mathcal{O}_{k}$ in the maximally supersymmetric CFTs, i.e. the 3d $\mathcal{N}=8$, 4d $\mathcal{N}=4$, and 6d $\mathcal{N}=(2,0)$ theories. In arXiv:hep-th/0405180, Dolan,…

高能物理 - 理论 · 物理学 2026-02-19 Mitchell Woolley

Depth completion aims to predict dense depth maps with sparse depth measurements from a depth sensor. Currently, Convolutional Neural Network (CNN) based models are the most popular methods applied to depth completion tasks. However,…

计算机视觉与模式识别 · 计算机科学 2024-09-13 Jian Qian , Miao Sun , Ashley Lee , Jie Li , Shenglong Zhuo , Patrick Yin Chiang

Transformer models have advanced the state of the art in many Natural Language Processing (NLP) tasks. In this paper, we present a new Transformer architecture, Extended Transformer Construction (ETC), that addresses two key challenges of…

Transformer achieves promising results on various tasks. However, self-attention suffers from quadratic memory requirements with respect to the sequence length. Existing work focuses on reducing time and space complexity from an algorithm…

机器学习 · 计算机科学 2022-05-24 Shenggui Li , Fuzhao Xue , Chaitanya Baranwal , Yongbin Li , Yang You

Many machine learning models use the manipulation of dimensions as a driving force to enable models to identify and learn important features in data. In the case of sequential data this manipulation usually happens on the token dimension…

机器学习 · 计算机科学 2023-10-24 Daniel Biermann , Fabrizio Palumbo , Morten Goodwin , Ole-Christoffer Granmo

Despite the remarkable empirical performance of Transformers, their theoretical understanding remains elusive. Here, we consider a deep multi-head self-attention network, that is closely related to Transformers yet analytically tractable.…

机器学习 · 计算机科学 2024-12-10 Lorenzo Tiberi , Francesca Mignacco , Kazuki Irie , Haim Sompolinsky

While Transformer networks benefit from a global receptive field, their quadratic cost relative to sequence length restricts their application to long sequences and high-resolution inputs. We introduce Fast Multipole Attention (FMA), a…

计算与语言 · 计算机科学 2025-09-19 Yanming Kang , Giang Tran , Hans De Sterck

Existing methods for video interpolation heavily rely on deep convolution neural networks, and thus suffer from their intrinsic limitations, such as content-agnostic kernel weights and restricted receptive field. To address these issues, we…

计算机视觉与模式识别 · 计算机科学 2022-03-29 Zhihao Shi , Xiangyu Xu , Xiaohong Liu , Jun Chen , Ming-Hsuan Yang

Self-attention based Transformer has demonstrated the state-of-the-art performances in a number of natural language processing tasks. Self-attention is able to model long-term dependencies, but it may suffer from the extraction of…

计算与语言 · 计算机科学 2019-12-30 Guangxiang Zhao , Junyang Lin , Zhiyuan Zhang , Xuancheng Ren , Qi Su , Xu Sun

This work aims to predict channels in wireless communication systems based on noisy observations, utilizing sequence-to-sequence models with attention (Seq2Seq-attn) and transformer models. Both models are adapted from natural language…

机器学习 · 统计学 2025-09-05 Valentina Rizzello , Benedikt Böck , Michael Joham , Wolfgang Utschick

This paper studies how the model architecture and data configurations influence the empirical memorization capacity of generative transformers. The models are trained using synthetic text datasets derived from the Systematized Nomenclature…

计算与语言 · 计算机科学 2025-06-18 Anton Changalidis , Aki Härmä

This paper is devoted to the study of eigen-sequences for some important operators acting on sequences. Using functional equations involving generating functions, we completely solve the problem of characterizing the fixed sequences for the…

数论 · 数学 2012-12-21 Marco Abrate , Stefano Barbero , Umberto Cerruti , Nadir Murru

The transformer architecture predominates across various models. As the heart of the transformer, attention has a computational complexity of $O(N^2)$, compared to $O(N)$ for linear transformations. When handling large sequence lengths,…

机器学习 · 计算机科学 2025-10-02 Jintao Zhang , Jia Wei , Haofeng Huang , Pengle Zhang , Jun Zhu , Jianfei Chen