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In this paper, we apply the self-attention from the state-of-the-art Transformer in Attention Is All You Need for the first time to a data-driven operator learning problem related to partial differential equations. An effort is put together…

机器学习 · 计算机科学 2021-11-02 Shuhao Cao

While the approximation properties of single-layer Transformer architectures have been studied in recent works, a rigorous theoretical understanding of the multi-layer setting remains limited. In this work, we establish that multi-layer…

机器学习 · 计算机科学 2026-05-19 Penghao Yu , Haotian Jiang , Zeyu Bao , Qianxiao Li

Many sequence-to-sequence tasks in natural language processing are roughly monotonic in the alignment between source and target sequence, and previous work has facilitated or enforced learning of monotonic attention behavior via specialized…

计算与语言 · 计算机科学 2021-04-09 Annette Rios , Chantal Amrhein , Noëmi Aepli , Rico Sennrich

Recurrent Neural Networks were, until recently, one of the best ways to capture the timely dependencies in sequences. However, with the introduction of the Transformer, it has been proven that an architecture with only attention-mechanisms…

机器学习 · 计算机科学 2021-08-19 Radostin Cholakov , Todor Kolev

Transformers have become the de facto standard for a wide range of tasks, from image classification to physics simulations. Despite their impressive performance, the quadratic complexity of standard Transformers in both memory and time with…

计算机视觉与模式识别 · 计算机科学 2025-07-04 Alex Colagrande , Paul Caillon , Eva Feillet , Alexandre Allauzen

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

The Transformer is an extremely powerful and prominent deep learning architecture. In this work, we challenge the commonly held belief in deep learning that going deeper is better, and show an alternative design approach that is building…

机器学习 · 计算机科学 2022-11-10 Jason Ross Brown , Yiren Zhao , Ilia Shumailov , Robert D Mullins

As the core operator of Transformers, Softmax Attention exhibits excellent global modeling capabilities. However, its quadratic complexity limits its applicability to vision tasks. In contrast, Linear Attention shares a similar formulation…

计算机视觉与模式识别 · 计算机科学 2025-08-05 Qihang Fan , Huaibo Huang , Yuang Ai , Ran He

Recent research has demonstrated that transformers, particularly linear attention models, implicitly execute gradient-descent-like algorithms on data provided in-context during their forward inference step. However, their capability in…

机器学习 · 计算机科学 2024-10-31 Max Vladymyrov , Johannes von Oswald , Mark Sandler , Rong Ge

Recently, the Transformer model that is based solely on attention mechanisms, has advanced the state-of-the-art on various machine translation tasks. However, recent studies reveal that the lack of recurrence hinders its further improvement…

计算与语言 · 计算机科学 2019-04-08 Jie Hao , Xing Wang , Baosong Yang , Longyue Wang , Jinfeng Zhang , Zhaopeng Tu

High-Energy Physics experiments are rapidly escalating in generated data volume, a trend that will intensify with the upcoming High-Luminosity LHC upgrade. This surge in data necessitates critical revisions across the data processing…

Transformer-based models have gained large popularity and demonstrated promising results in long-term time-series forecasting in recent years. In addition to learning attention in time domain, recent works also explore learning attention in…

Transformers were initially introduced for natural language processing (NLP) tasks, but fast they were adopted by most deep learning fields, including computer vision. They measure the relationships between pairs of input tokens (words in…

计算机视觉与模式识别 · 计算机科学 2023-03-22 Robin Courant , Maika Edberg , Nicolas Dufour , Vicky Kalogeiton

The attention mechanisim is appealing for neural machine translation, since it is able to dynam- ically encode a source sentence by generating a alignment between a target word and source words. Unfortunately, it has been proved to be worse…

计算与语言 · 计算机科学 2016-09-15 Lemao Liu , Masao Utiyama , Andrew Finch , Eiichiro Sumita

New models of the attention-based random forests called LARF (Leaf Attention-based Random Forest) are proposed. The first idea behind the models is to introduce a two-level attention, where one of the levels is the "leaf" attention and the…

机器学习 · 计算机科学 2022-10-12 Andrei V. Konstantinov , Lev V. Utkin

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

We study two strange phenomena in auto-regressive Transformers: (1) the dominance of the first token in attention heads; (2) the occurrence of large outlier activations in the hidden states. We find that popular large language models, such…

计算与语言 · 计算机科学 2024-10-23 Prannay Kaul , Chengcheng Ma , Ismail Elezi , Jiankang Deng

We propose Lizard, a linearization framework that transforms pretrained Transformer-based Large Language Models (LLMs) into subquadratic architectures. Transformers faces severe computational and memory bottlenecks with long sequences due…

The self-attention mechanism traditionally relies on the softmax operator, necessitating positional embeddings like RoPE, or position biases to account for token order. But current methods using still face length generalisation challenges.…

机器学习 · 计算机科学 2025-05-21 Shawn Tan , Songlin Yang , Aaron Courville , Rameswar Panda , Yikang Shen

Next to scaling considerations, architectural design choices profoundly shape the solution space of transformers. In this work, we analyze the solutions simple transformer blocks implement when tackling the histogram task: counting items in…

机器学习 · 计算机科学 2025-11-13 Freya Behrens , Luca Biggio , Lenka Zdeborová
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