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Time Series Foundation Models (TSFMs) have become a new component of the state-of-the-art in general time series forecasting. However, adapting them to specialized classification tasks remains constrained by two interconnected challenges:…

Machine Learning · Computer Science 2026-05-26 José Alberto Rodríguez , Luis Balderas , Miguel Lastra , Antonio Arauzo-Azofra , José M. Benítez

Although Transformer has made breakthrough success in widespread domains especially in Natural Language Processing (NLP), applying it to time series forecasting is still a great challenge. In time series forecasting, the autoregressive…

Machine Learning · Computer Science 2021-06-01 Kai Chen , Guang Chen , Dan Xu , Lijun Zhang , Yuyao Huang , Alois Knoll

Using a proper model to characterize a time series is crucial in making accurate predictions. In this work we use time-varying autoregressive process (TVAR) to describe non-stationary time series and model it as a mixture of multiple stable…

Machine Learning · Statistics 2016-11-17 Jie Ding , Mohammad Noshad , Vahid Tarokh

Existing models for high-dimensional time series are overwhelmingly developed within the finite-order vector autoregressive (VAR) framework. However, the more flexible vector autoregressive moving averages (VARMA) have been much less…

Methodology · Statistics 2025-05-01 Feiqing Huang , Kexin Lu , Yao Zheng

Large multimodal models (LMMs) inherit the self-attention mechanism of pretrained language backbones, yet standard attention can exhibit suboptimal allocation, including cross-modal misallocation between textual and visual evidence and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Xi Leng , Xinhong Ma , Ziqiang Dong , Feng Zhang , Xiaoying Tang , Yang Yang , Guanjun Jiang

This paper presents $\textbf{CAPS}$ (Clock-weighted Aggregation with Prefix-products and Softmax), a structured attention mechanism for time series forecasting that decouples three distinct temporal structures: global trends, local shocks,…

Machine Learning · Computer Science 2026-02-04 Viresh Pati , Yubin Kim , Vinh Pham , Jevon Twitty , Shihao Yang , Jiecheng Lu

Autoregressive (AR) models have achieved remarkable success in natural language and image generation, but their application to 3D shape modeling remains largely unexplored. Unlike diffusion models, AR models enable more efficient and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Tejaswini Medi , Arianna Rampini , Pradyumna Reddy , Pradeep Kumar Jayaraman , Margret Keuper

Masked autoregressive (MAR) models unify the strengths of masked and autoregressive generation by predicting tokens in a fixed order using bidirectional attention for image generation. While effective, MAR models suffer from significant…

Machine Learning · Computer Science 2025-06-17 Chaoyi Jiang , Sungwoo Kim , Lei Gao , Hossein Entezari Zarch , Won Woo Ro , Murali Annavaram

Autoregressive generative models are commonly used, especially for those tasks involving sequential data. They have, however, been plagued by a slew of inherent flaws due to the intrinsic characteristics of chain-style conditional modeling…

Machine Learning · Computer Science 2022-06-28 Yezhen Wang , Tong Che , Bo Li , Kaitao Song , Hengzhi Pei , Yoshua Bengio , Dongsheng Li

Reliable forecasting of multivariate time series under anomalous conditions is crucial in applications such as ATM cash logistics, where sudden demand shifts can disrupt operations. Modern deep forecasters achieve high accuracy on normal…

Machine Learning · Computer Science 2025-12-09 Joel Ekstrand , Tor Mattsson , Zahra Taghiyarrenani , Slawomir Nowaczyk , Jens Lundström , Mikael Lindén

Estimating hidden processes from non-linear noisy observations is particularly difficult when the parameters of these processes are not known. This paper adopts a machine learning approach to devise variational Bayesian inference for such…

Machine Learning · Computer Science 2019-11-05 Komlan Atitey , Pavel Loskot , Lyudmila Mihaylova

Long-term time series forecasting (LTSF) is important for various domains but is confronted by challenges in handling the complex temporal-contextual relationships. As multivariate input models underperforming some recent univariate…

Machine Learning · Statistics 2026-02-06 Jiecheng Lu , Xu Han , Shihao Yang

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…

Methodology · Statistics 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz

As a special infinite-order vector autoregressive (VAR) model, the vector autoregressive moving average (VARMA) model can capture much richer temporal patterns than the widely used finite-order VAR model. However, its practicality has long…

Methodology · Statistics 2024-02-27 Yao Zheng

The probability prediction of multivariate time series is a notoriously challenging but practical task. On the one hand, the challenge is how to effectively capture the cross-series correlations between interacting time series, to achieve…

Machine Learning · Computer Science 2023-07-24 Shibo Feng , Chunyan Miao , Ke Xu , Jiaxiang Wu , Pengcheng Wu , Yang Zhang , Peilin Zhao

In this contribution we introduce weakly locally stationary time series through the local approximation of the non-stationary covariance structure by a stationary one. This allows us to define autoregression coefficients in a non-stationary…

Statistics Theory · Mathematics 2018-01-16 François Roueff , Andres Sanchez-Perez

The paper proposes a time-varying parameter global vector autoregressive (TVP-GVAR) framework for predicting and analysing developed region economic variables. We want to provide an easily accessible approach for the economy application…

Econometrics · Economics 2022-09-14 Yukang Jiang , Xueqin Wang , Zhixi Xiong , Haisheng Yang , Ting Tian

Although Transformers excel in natural language processing, their extension to time series forecasting remains challenging due to insufficient consideration of the differences between textual and temporal modalities. In this paper, we…

Machine Learning · Computer Science 2025-10-09 Zhipeng Liu , Peibo Duan , Xuan Tang , Baixin Li , Yongsheng Huang , Mingyang Geng , Changsheng Zhang , Bin Zhang , Binwu Wang

Generative models have gained significant traction in offline reinforcement learning (RL) due to their ability to model complex trajectory distributions. However, existing generation-based approaches still struggle with long-horizon tasks…

Machine Learning · Computer Science 2026-03-02 Chenxing Lin , Xinhui Gao , Haipeng Zhang , Xinran Li , Haitao Wang , Songzhu Mei , Chenglu Wen , Weiquan Liu , Siqi Shen , Cheng Wang

Generative modeling offers a promising solution to data scarcity and privacy challenges in time series analysis. However, the structural complexity of time series, characterized by multi-scale temporal patterns and heterogeneous components,…

Machine Learning · Computer Science 2026-01-19 Xiangyu Xu , Qingsong Zhong , Jilin Hu