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Multivariate time series forecasting is essential in domains such as finance, transportation, climate, and energy. However, existing patch-based methods typically adopt fixed-length segmentation, overlooking the heterogeneity of local…

Machine Learning · Computer Science 2026-01-06 Kuiye Ding , Fanda Fan , Chunyi Hou , Zheya Wang , Lei Wang , Zhengxin Yang , Jianfeng Zhan

The long horizon forecasting (LHF) problem has come up in the time series literature for over the last 35 years or so. This review covers aspects of LHF in this period and how deep learning has incorporated variants of trend, seasonality,…

Machine Learning · Computer Science 2025-06-17 Hans Krupakar , Kandappan V A

Multi-horizon forecasting problems often contain a complex mix of inputs -- including static (i.e. time-invariant) covariates, known future inputs, and other exogenous time series that are only observed historically -- without any prior…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Sercan O. Arik , Nicolas Loeff , Tomas Pfister

In recent years, both online and offline deep learning models have been developed for time series forecasting. However, offline deep forecasting models fail to adapt effectively to changes in time-series data, while online deep forecasting…

Machine Learning · Computer Science 2024-02-06 Mohamed Mejri , Chandramouli Amarnath , Abhijit Chatterjee

Feature engineering is required to obtain better results for time series forecasting, and decomposition is a crucial one. One decomposition approach often cannot be used for numerous forecasting tasks since the standard time series…

Machine Learning · Computer Science 2022-10-10 Liwang Zhou , Jing Gao

Optimal decision-making compels us to anticipate the future at different horizons. However, in many domains connecting together predictions from multiple time horizons and abstractions levels across their organization becomes all the more…

Machine Learning · Computer Science 2023-07-06 Julien Leprince , Henrik Madsen , Jan Kloppenborg Møller , Wim Zeiler

Time series forecasting (TSF) remains a challenging problem due to the intricate entanglement of intraperiod-fluctuations and interperiod-trends. While recent advances have attempted to reshape 1D sequences into 2D period-phase…

Machine Learning · Computer Science 2026-03-04 Yixin Wang , Yifan Hu , Peiyuan Liu , Naiqi Li , Dai Tao , Shu-Tao Xia

Time series foundation models (TSFMs) have recently achieved strong zero-shot forecasting performance through large-scale pretraining and retrieval-augmented prediction. However, our empirical analysis reveals a non-trivial limitation of…

Machine Learning · Computer Science 2026-05-26 Jinjin Chi , Lei Feng , Lulu Zhang , Yongcheng Jing , Yiming Wang , Ximing Li , Jialie Shen , Leszek Rutkowski , Dacheng Tao

The prevailing Direct Forecasting (DF) paradigm dominates Long-term Time Series Forecasting (LTSF) by forcing models to predict the entire future horizon in a single forward pass. While efficient, this rigid coupling of output and…

Machine Learning · Computer Science 2026-02-03 Jiaming Ma , Siyuan Mu , Ruilin Tang , Haofeng Ma , Qihe Huang , Zhengyang Zhou , Pengkun Wang , Binwu Wang , Yang Wang

At present, state-of-the-art forecasting models are short of the ability to capture spatio-temporal dependency and synthesize global information at the stage of learning. To address this issue, in this paper, through the adaptive fuzzified…

Artificial Intelligence · Computer Science 2025-07-29 Lijian Li

Time series forecasting is essential across domains from finance to supply chain management. This paper introduces ForecastGAN, a novel decomposition based adversarial framework addressing limitations in existing approaches for…

Machine Learning · Computer Science 2025-11-07 Syeda Sitara Wishal Fatima , Afshin Rahimi

Multivariate time series forecasting (MTSF) seeks to model temporal dynamics among variables to predict future trends. Transformer-based models and large language models (LLMs) have shown promise due to their ability to capture long-range…

Machine Learning · Computer Science 2025-08-07 Abdul Monaf Chowdhury , Rabeya Akter , Safaeid Hossain Arib

Self-supervised representation learning, particularly through contrastive methods like TS2Vec, has advanced the analysis of time series data. However, these models often falter in forecasting tasks because their objective functions…

Machine Learning · Computer Science 2025-12-01 Ganeshan Niroshan , Uthayasanker Thayasivam

This paper presents an advanced Federated Learning (FL) framework for forecasting complex spatiotemporal data, improving upon recent state-of-the-art models. In the proposed approach, the original Gated Recurrent Unit (GRU) module within…

Machine Learning · Computer Science 2025-10-02 Thien Pham , Angelo Furno , Faïcel Chamroukhi , Latifa Oukhellou

Recent efforts have been dedicated to enhancing time series forecasting accuracy by introducing advanced network architectures and self-supervised pretraining strategies. Nevertheless, existing approaches still exhibit two critical…

Machine Learning · Computer Science 2024-06-19 Zhiding Liu , Jiqian Yang , Mingyue Cheng , Yucong Luo , Zhi Li

Time series forecasting presents unique challenges that limit the effectiveness of traditional machine learning algorithms. To address these limitations, various approaches have incorporated linear constraints into learning algorithms, such…

Machine Learning · Statistics 2025-02-18 Nathan Doumèche , Francis Bach , Éloi Bedek , Gérard Biau , Claire Boyer , Yannig Goude

Real-world time-series datasets often violate the assumptions of standard supervised learning for forecasting -- their distributions evolve over time, rendering the conventional training and model selection procedures suboptimal. In this…

Machine Learning · Computer Science 2022-09-27 Sercan O. Arik , Nathanael C. Yoder , Tomas Pfister

In this paper, we propose a machine learning approach for forecasting hierarchical time series. When dealing with hierarchical time series, apart from generating accurate forecasts, one needs to select a suitable method for producing…

Machine Learning · Computer Science 2021-07-12 Paolo Mancuso , Veronica Piccialli , Antonio M. Sudoso

Multivariate time series forecasting with hierarchical structure is widely used in real-world applications, e.g., sales predictions for the geographical hierarchy formed by cities, states, and countries. The hierarchical time series (HTS)…

Machine Learning · Computer Science 2023-10-10 Fan Zhou , Chen Pan , Lintao Ma , Yu Liu , Shiyu Wang , James Zhang , Xinxin Zhu , Xuanwei Hu , Yunhua Hu , Yangfei Zheng , Lei Lei , Yun Hu

We study adaptive aggregation for heterogeneous local SGD in convex finite-sum optimization, allowing heterogeneous local horizons, minibatch sizes, gradient noise, and participation. We introduce HEW-Local SGD, a corrected local-SGD method…

Optimization and Control · Mathematics 2026-04-29 Dmitry Pasechnyuk-Vilensky , Martin Takáč
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