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This paper investigates the learning theory of Transformer networks for regression tasks on the compact Euclidean domain $[0,1]^d$ and $d$-dimensional compact Riemannian manifolds. We propose a novel constructive approximation framework for…

机器学习 · 统计学 2026-05-12 Zhongjie Shi , Wenjing Liao

Although deep neural networks have provided impressive gains in performance, these improvements often come at the cost of increased computational complexity and expense. In many cases, such as 3D volume or video classification tasks, not…

计算机视觉与模式识别 · 计算机科学 2025-10-15 Sharath M Shankaranarayana , Soumava Kumar Roy , Prasad Sudhakar , Chandan Aladahalli

In the Transformer model, "self-attention" combines information from attended embeddings into the representation of the focal embedding in the next layer. Thus, across layers of the Transformer, information originating from different tokens…

机器学习 · 计算机科学 2020-06-02 Samira Abnar , Willem Zuidema

While the Self-Attention mechanism in the Transformer model has proven to be effective in many domains, we observe that it is less effective in more diverse settings (e.g. multimodality) due to the varying granularity of each token and the…

计算机视觉与模式识别 · 计算机科学 2024-06-06 Wayner Barrios , SouYoung Jin

Attention mechanisms have become ubiquitous in NLP. Recent architectures, notably the Transformer, learn powerful context-aware word representations through layered, multi-headed attention. The multiple heads learn diverse types of word…

计算与语言 · 计算机科学 2019-09-09 Gonçalo M. Correia , Vlad Niculae , André F. T. Martins

Point Transformers are near state-of-the-art models for classification, segmentation, and detection tasks on Point Cloud data. They utilize a self attention based mechanism to model large range spatial dependencies between multiple point…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Kartik Gupta , Rahul Vippala , Sahima Srivastava

Transformer-based models have emerged as a leading architecture for natural language processing, natural language generation, and image generation tasks. A fundamental element of the transformer architecture is self-attention, which allows…

机器学习 · 计算机科学 2025-07-01 Venmugil Elango

Phase transitions mark qualitative reorganizations of collective behavior, yet identifying their boundaries remains challenging whenever analytic solutions are absent and conventional simulations fail. Here we introduce learnability as a…

材料科学 · 物理学 2025-10-10 Şener Özönder

The current trend of automating inspections at substations has sparked a surge in interest in the field of transformer image recognition. However, due to restrictions in the number of parameters in existing models, high-resolution images…

计算机视觉与模式识别 · 计算机科学 2023-12-08 Siyi Zhang , Cheng Liu , Xiang Li , Xin Zhai , Zhen Wei , Sizhe Li , Xun Ma

Transformer is a ubiquitous model for natural language processing and has attracted wide attentions in computer vision. The attention maps are indispensable for a transformer model to encode the dependencies among input tokens. However,…

机器学习 · 计算机科学 2021-02-26 Yujing Wang , Yaming Yang , Jiangang Bai , Mingliang Zhang , Jing Bai , Jing Yu , Ce Zhang , Gao Huang , Yunhai Tong

Attention-based neural networks have achieved state-of-the-art results on a wide range of tasks. Most such models use deterministic attention while stochastic attention is less explored due to the optimization difficulties or complicated…

机器学习 · 计算机科学 2021-06-10 Shujian Zhang , Xinjie Fan , Bo Chen , Mingyuan Zhou

Standard attention-based transformers are known to exhibit instability under learning rate overspecification during training, particularly at high learning rates. While various methods have been proposed to improve resilience to such…

机器学习 · 计算机科学 2026-02-02 Shyam Venkatasubramanian , Sean Moushegian , Michael Lin , Mir Park , Ankit Singhal , Connor Lee

Vision transformers using self-attention or its proposed alternatives have demonstrated promising results in many image related tasks. However, the underpinning inductive bias of attention is not well understood. To address this issue, this…

机器学习 · 计算机科学 2022-05-23 Arda Sahiner , Tolga Ergen , Batu Ozturkler , John Pauly , Morteza Mardani , Mert Pilanci

An inherent challenge in computing fully-explicit generalization bounds for transformers involves obtaining covering number estimates for the given transformer class $T$. Crude estimates rely on a uniform upper bound on the local-Lipschitz…

机器学习 · 计算机科学 2025-02-07 Yannick Limmer , Anastasis Kratsios , Xuwei Yang , Raeid Saqur , Blanka Horvath

The self-attention module is a key component of Transformer-based models, wherein each token pays attention to every other token. Recent studies have shown that these heads exhibit syntactic, semantic, or local behaviour. Some studies have…

计算与语言 · 计算机科学 2020-08-14 Madhura Pande , Aakriti Budhraja , Preksha Nema , Pratyush Kumar , Mitesh M. Khapra

Transformer has become the dominant architecture for sequence modeling, yet a detailed understanding of how its structural parameters influence expressive power remains limited. In this work, we study the approximation properties of…

机器学习 · 计算机科学 2026-04-01 Penghao Yu , Haotian Jiang , Zeyu Bao , Ruoxi Yu , Qianxiao Li

The blood-brain barrier (BBB) serves as a protective barrier that separates the brain from the circulatory system, regulating the passage of substances into the central nervous system. Assessing the BBB permeability of potential drugs is…

定量方法 · 定量生物学 2024-09-10 Shivesh Prakash

Attention mechanisms have recently demonstrated impressive performance on a range of NLP tasks, and attention scores are often used as a proxy for model explainability. However, there is a debate on whether attention weights can, in fact,…

计算与语言 · 计算机科学 2022-11-16 Bingyang Wen , K. P. Subbalakshmi , Fan Yang

Time-series forecasting plays an important role in many real-world scenarios, such as equipment life cycle forecasting, weather forecasting, and traffic flow forecasting. It can be observed from recent research that a variety of…

机器学习 · 计算机科学 2022-06-14 Benhan Li , Shengdong Du , Tianrui Li , Jie Hu , Zhen Jia

Transformers have been proven a successful model for a variety of tasks in sequence modeling. However, computing the attention matrix, which is their key component, has quadratic complexity with respect to the sequence length, thus making…

机器学习 · 计算机科学 2020-10-01 Apoorv Vyas , Angelos Katharopoulos , François Fleuret