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We introduce a Modewise Additive Factor Model (MAFM) for matrix-valued time series that captures row-specific and column-specific latent effects through an additive structure, offering greater flexibility than multiplicative frameworks such…

Methodology · Statistics 2026-02-12 Elynn Chen , Yuefeng Han , Jiayu Li , Ke Xu

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

Machine Learning · Computer Science 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

Current time-series forecasting models are primarily based on transformer-style neural networks. These models achieve long-term forecasting mainly by scaling up the model size rather than through genuinely autoregressive (AR) rollout. From…

Machine Learning · Computer Science 2026-05-08 Zheng Li , Jerry Cheng , Huanying Gu

Understanding the time-varying structure of complex temporal systems is one of the main challenges of modern time series analysis. In this paper, we show that every uniformly-positive-definite-in-covariance and sufficiently short-range…

Statistics Theory · Mathematics 2023-04-25 Xiucai Ding , Zhou Zhou

Linear attention methods offer a compelling alternative to softmax attention due to their efficiency in recurrent decoding. Recent research has focused on enhancing standard linear attention by incorporating gating while retaining its…

Machine Learning · Computer Science 2025-04-08 Yingcong Li , Davoud Ataee Tarzanagh , Ankit Singh Rawat , Maryam Fazel , Samet Oymak

Bearing fault detection is a critical task in predictive maintenance, where accurate and timely fault identification can prevent costly downtime and equipment damage. Traditional attention mechanisms in Transformer neural networks often…

Machine Learning · Computer Science 2024-12-17 Marzieh Mirzaeibonehkhater , Mohammad Ali Labbaf-Khaniki , Mohammad Manthouri

The variational autoencoder (VAE; Kingma, Welling (2014)) is a recently proposed generative model pairing a top-down generative network with a bottom-up recognition network which approximates posterior inference. It typically makes strong…

Machine Learning · Computer Science 2016-11-08 Yuri Burda , Roger Grosse , Ruslan Salakhutdinov

Time series forecasting plays a crucial role in data mining, driving rapid advancements across numerous industries. With the emergence of large models, time series foundation models (TSFMs) have exhibited remarkable generalization…

Machine Learning · Computer Science 2024-12-31 Huanyu Zhang , Chang Xu , Yi-Fan Zhang , Zhang Zhang , Liang Wang , Jiang Bian , Tieniu Tan

Time-series forecasting underpins critical decisions across aviation, energy, retail and health. Classical autoregressive integrated moving average (ARIMA) models offer interpretability via coefficients but struggle with nonlinearities,…

Machine Learning · Computer Science 2025-08-25 Manish Shukla

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…

Machine Learning · Computer Science 2022-06-14 Benhan Li , Shengdong Du , Tianrui Li , Jie Hu , Zhen Jia

Modern multivariate time series forecasting primarily relies on two architectures: the Transformer with attention mechanism and Mamba. In natural language processing, an approach has been used that combines local window attention for…

Machine Learning · Computer Science 2025-09-26 Itay Katav , Aryeh Kontorovich

A clear need for automatic anomaly detection applied to automotive testing has emerged as more and more attention is paid to the data recorded and manual evaluation by humans reaches its capacity. Such real-world data is massive, diverse,…

Machine Learning · Computer Science 2024-11-22 Lucas Correia , Jan-Christoph Goos , Philipp Klein , Thomas Bäck , Anna V. Kononova

Recently, Transformer-based models for long sequence time series forecasting have demonstrated promising results. The self-attention mechanism as the core component of these Transformer-based models exhibits great potential in capturing…

Machine Learning · Computer Science 2024-12-17 Zhicheng Zhang , Yong Wang , Shaoqi Tan , Bowei Xia , Yujie Luo

Adaptive learning rate methods have been successfully applied in many fields, especially in training deep neural networks. Recent results have shown that adaptive methods with exponential increasing weights on squared past gradients (i.e.,…

Machine Learning · Computer Science 2021-01-05 Hui Zhong , Zaiyi Chen , Chuan Qin , Zai Huang , Vincent W. Zheng , Tong Xu , Enhong Chen

We study the problem of modelling high-dimensional, heavy-tailed time series data via a factor-adjusted vector autoregressive (VAR) model, which simultaneously accounts for pervasive co-movements of the variables by a handful of factors, as…

Methodology · Statistics 2026-04-27 Dylan Dijk , Haeran Cho

We introduce a new paradigm for AutoRegressive (AR) image generation, termed Set AutoRegressive Modeling (SAR). SAR generalizes the conventional AR to the next-set setting, i.e., splitting the sequence into arbitrary sets containing…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Wenze Liu , Le Zhuo , Yi Xin , Sheng Xia , Peng Gao , Xiangyu Yue

Audio-visual emotion recognition (AVER) methods typically fuse utterance-level features, and even frame-level attention models seldom address the frame-rate mismatch across modalities. In this paper, we propose a Transformer-based framework…

Multimedia · Computer Science 2026-03-13 Inyong Koo , yeeun Seong , Minseok Son , Jaehyuk Jang , Changick Kim

Probabilistic forecasting of time series is an important matter in many applications and research fields. In order to draw conclusions from a probabilistic forecast, we must ensure that the model class used to approximate the true…

Machine Learning · Computer Science 2022-07-12 David Rügamer , Philipp F. M. Baumann , Thomas Kneib , Torsten Hothorn

In multivariable time series (MTS) forecasting, existing state-of-the-art deep learning approaches tend to focus on autoregressive formulations and often overlook the potential of using exogenous variables in enhancing the prediction of the…

Machine Learning · Computer Science 2025-04-03 Yuxuan Shu , Vasileios Lampos

Attention-based models such as Transformers and recurrent models like state space models (SSMs) have emerged as successful methods for autoregressive sequence modeling. Although both enable parallel training, none enable parallel generation…

Machine Learning · Computer Science 2024-07-12 Gaspard Lambrechts , Yann Claes , Pierre Geurts , Damien Ernst