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Time series forecasting is widely used in the fields of equipment life cycle forecasting, weather forecasting, traffic flow forecasting, and other fields. Recently, some scholars have tried to apply Transformer to time series forecasting…

机器学习 · 计算机科学 2022-02-24 Benhan Li , Shengdong Du , Tianrui Li

Transformer-based models have achieved remarkable success in multivariate time series forecasting (MTSF) by capturing long-range dependencies. However, their widespread adoption is hindered by the quadratic computational complexity of…

机器学习 · 计算机科学 2026-05-12 Fanpu Cao , Shu Yang , Zhengjian Chen , Ye Liu , Laizhong Cui

The Transformer is a sequence model that forgoes traditional recurrent architectures in favor of a fully attention-based approach. Besides improving performance, an advantage of using attention is that it can also help to interpret a model…

人机交互 · 计算机科学 2019-06-14 Jesse Vig

Transformers have achieved state-of-the-art results across a range of domains, but their quadratic attention mechanism poses significant challenges for long-sequence modelling. Recent efforts to design linear-time attention mechanisms have…

计算与语言 · 计算机科学 2025-12-03 Rares Dolga , Lucas Maystre , Marius Cobzarenco , David Barber

Attention layers -- which map a sequence of inputs to a sequence of outputs -- are core building blocks of the Transformer architecture which has achieved significant breakthroughs in modern artificial intelligence. This paper presents a…

机器学习 · 计算机科学 2023-07-24 Hengyu Fu , Tianyu Guo , Yu Bai , Song Mei

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

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

We explore the promising performance of a transformer model in predicting outputs of parametric dynamical systems with external time-varying input signals. The outputs of such systems vary not only with physical parameters but also with…

机器学习 · 计算机科学 2025-05-02 Shuwen Sun , Lihong Feng , Peter Benner

A variety of real-world applications rely on far future information to make decisions, thus calling for efficient and accurate long sequence multivariate time series forecasting. While recent attention-based forecasting models show strong…

机器学习 · 计算机科学 2022-05-02 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang , Tung Kieu , Xuanyi Dong , Shirui Pan

Causal inference in multivariate time series is challenging due to the fact that the sampling rate may not be as fast as the timescale of the causal interactions. In this context, we can view our observed series as a subsampled version of…

统计方法学 · 统计学 2017-04-11 Alex Tank , Emily B. Fox , Ali Shojaie

High-dimensional, heterogeneous data with complex feature interactions pose significant challenges for traditional predictive modeling approaches. While Projection to Latent Structures (PLS) remains a popular technique, it struggles to…

机器学习 · 计算机科学 2025-10-21 Farwa Abbas , Hussain Ahmad , Claudia Szabo

While attention has been empirically shown to improve model performance, it lacks a rigorous mathematical justification. This short paper establishes a novel connection between attention mechanisms and multinomial regression. Specifically,…

机器学习 · 计算机科学 2025-10-28 Jonas A. Actor , Anthony Gruber , Eric C. Cyr

Transformers have recently shown superior performances on various vision tasks. The large, sometimes even global, receptive field endows Transformer models with higher representation power over their CNN counterparts. Nevertheless, simply…

计算机视觉与模式识别 · 计算机科学 2022-05-25 Zhuofan Xia , Xuran Pan , Shiji Song , Li Erran Li , Gao Huang

Transformers have become one of the dominant architectures in deep learning, particularly as a powerful alternative to convolutional neural networks (CNNs) in computer vision. However, Transformer training and inference in previous works…

计算机视觉与模式识别 · 计算机科学 2021-12-24 Zizheng Pan , Bohan Zhuang , Haoyu He , Jing Liu , Jianfei Cai

We introduce the Momentum Transformer, an attention-based deep-learning architecture, which outperforms benchmark time-series momentum and mean-reversion trading strategies. Unlike state-of-the-art Long Short-Term Memory (LSTM)…

机器学习 · 计算机科学 2022-11-24 Kieran Wood , Sven Giegerich , Stephen Roberts , Stefan Zohren

Multi-layer models with multiple attention heads per layer provide superior translation quality compared to simpler and shallower models, but determining what source context is most relevant to each target word is more challenging as a…

计算与语言 · 计算机科学 2019-02-01 Thomas Zenkel , Joern Wuebker , John DeNero

Time series forecasting requires architectures that simultaneously achieve three competing objectives: (1) strict temporal causality for reliable predictions, (2) sub-quadratic complexity for practical scalability, and (3) multi-scale…

机器学习 · 计算机科学 2025-11-25 Qianru Zhang , Honggang Wen , Ming Li , Dong Huang , Siu-Ming Yiu , Christian S. Jensen , Pietro Liò

Transformers have improved the state-of-the-art across numerous tasks in sequence modeling. Besides the quadratic computational and memory complexity w.r.t the sequence length, the self-attention mechanism only processes information at the…

机器学习 · 计算机科学 2021-08-12 Yao Zhang , Yunpu Ma , Thomas Seidl , Volker Tresp

Visual AutoRegressive (VAR) modeling has garnered significant attention for its innovative next-scale prediction paradigm. However, mainstream VAR paradigms attend to all tokens across historical scales at each autoregressive step. As the…

计算机视觉与模式识别 · 计算机科学 2026-03-31 Zekun Li , Ning Wang , Tongxin Bai , Changwang Mei , Peisong Wang , Shuang Qiu , Jian Cheng

We propose a multiscale approach to time series autoregression, in which linear regressors for the process in question include features of its own path that live on multiple timescales. We take these multiscale features to be the recent…

统计方法学 · 统计学 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz