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Accurate univariate forecasting remains a pressing need in real-world systems, such as energy markets, hydrology, retail demand, and IoT monitoring, where signals are often intermittent and horizons span both short- and long-term. While…

Machine Learning · Computer Science 2025-08-26 Kyrylo Yemets , Mykola Lukashchuk , Ivan Izonin

Recent progress in time-series forecasting has led to rapidly increasing architectural complexity, yet many reported State-of-the-Art gains are statistically fragile or misattributed. We argue that progress requires a shift from model…

Data augmentation in time series forecasting plays a crucial role in enhancing model performance by introducing variability while maintaining the underlying temporal patterns. However, time series data offers fewer augmentation strategies…

Machine Learning · Computer Science 2025-11-12 Dang Nha Nguyen , Hai Dang Nguyen , Khoa Tho Anh Nguyen

Accurate forecasting of multivariate time series data remains a formidable challenge, particularly due to the growing complexity of temporal dependencies in real-world scenarios. While neural network-based models have achieved notable…

Machine Learning · Computer Science 2025-12-09 Andrey Savchenko , Oleg Kachan

Large collections of time series data are often organized into hierarchies with different levels of aggregation; examples include product and geographical groupings. Probabilistic coherent forecasting is tasked to produce forecasts…

Multivariate Time Series (MTS) analysis is crucial to understanding and managing complex systems, such as traffic and energy systems, and a variety of approaches to MTS forecasting have been proposed recently. However, we often observe…

Machine Learning · Computer Science 2024-10-18 Zezhi Shao , Fei Wang , Yongjun Xu , Wei Wei , Chengqing Yu , Zhao Zhang , Di Yao , Tao Sun , Guangyin Jin , Xin Cao , Gao Cong , Christian S. Jensen , Xueqi Cheng

Probabilistic forecasting of irregularly sampled multivariate time series with missing values is an important problem in many fields, including health care, astronomy, and climate. State-of-the-art methods for the task estimate only…

Machine Learning · Computer Science 2025-01-14 Vijaya Krishna Yalavarthi , Randolf Scholz , Stefan Born , Lars Schmidt-Thieme

Accurate network-traffic forecasting enables proactive capacity planning and anomaly detection in Internet Service Provider (ISP) networks. Recent advances in time-series foundation models (TSFMs) have demonstrated strong zero-shot and…

Networking and Internet Architecture · Computer Science 2026-02-18 Fan Liu , Behrooz Farkiani , Patrick Crowley

Currently, iTransformer is one of the most popular and effective models for multivariate time series (MTS) forecasting. Thanks to its inverted framework, iTransformer effectively captures multivariate correlation. However, the inverted…

Machine Learning · Computer Science 2025-07-17 Hongming Tan , Ting Chen , Ruochong Jin , Wai Kin Chan

Recent advancements in multivariate time series forecasting have been propelled by Linear-based, Transformer-based, and Convolution-based models, with Transformer-based architectures gaining prominence for their efficacy in temporal and…

Machine Learning · Computer Science 2024-09-27 Chaolv Zeng , Zhanyu Liu , Guanjie Zheng , Linghe Kong

Time series forecasting models are increasingly scaled through large Transformer backbones, yet most existing approaches process all series through a shared dense computation path despite substantial heterogeneity in temporal structure.…

Machine Learning · Computer Science 2026-05-26 Rui Wang , Renhao Xue , Ray Razi , Huan Song , Hannah R. Marlowe

Some data from multiple sources can be modeled as multimodal time-series events which have different sampling frequencies, data compositions, temporal relations and characteristics. Different types of events have complex nonlinear…

Artificial Intelligence · Computer Science 2022-09-07 Peiwang Tang , Xianchao Zhang

Modeling and forecasting interval-valued time series (ITS) have attracted considerable attention due to their growing presence in various contexts. To the best of our knowledge, there have been no efforts to model large-scale ITS. In this…

Machine Learning · Statistics 2025-04-07 Wan Tian , Zhongfeng Qin

Time series data, including univariate and multivariate ones, are characterized by unique composition and complex multi-scale temporal variations. They often require special consideration of decomposition and multi-scale modeling to…

Machine Learning · Computer Science 2024-03-26 Shuhan Zhong , Sizhe Song , Weipeng Zhuo , Guanyao Li , Yang Liu , S. -H. Gary Chan

The adaptation of large language models (LLMs) to time series forecasting poses unique challenges, as time series data is continuous in nature, while LLMs operate on discrete tokens. Despite the success of LLMs in natural language…

Computation and Language · Computer Science 2025-08-05 Taibiao Zhao , Xiaobing Chen , Mingxuan Sun

Time series analysis plays a critical role in numerous applications, supporting tasks such as forecasting, classification, anomaly detection, and imputation. In this work, we present the time series pattern machine (TSPM), a model designed…

Machine Learning · Computer Science 2025-05-20 Shiyu Wang , Jiawei Li , Xiaoming Shi , Zhou Ye , Baichuan Mo , Wenze Lin , Shengtong Ju , Zhixuan Chu , Ming Jin

Long-term time series forecasting (LTSF) is a critical task in computational intelligence. While Transformer-based models effectively capture long-range dependencies, they often suffer from quadratic complexity and overfitting due to data…

Machine Learning · Computer Science 2025-12-03 Li Qianyang , Zhang Xingjun , Wang Shaoxun , Wei Jia

Multivariate time-series forecasting is vital in various domains, e.g., economic planning and weather prediction. Deep train-from-scratch models have exhibited effective performance yet require large amounts of data, which limits real-world…

Machine Learning · Computer Science 2025-02-21 Ching Chang , Wei-Yao Wang , Wen-Chih Peng , Tien-Fu Chen

Generating forecasts for time series with multiple seasonal cycles is an important use-case for many industries nowadays. Accounting for the multi-seasonal patterns becomes necessary to generate more accurate and meaningful forecasts in…

Applications · Statistics 2020-04-28 Kasun Bandara , Christoph Bergmeir , Hansika Hewamalage

Transformer has become one of the most popular architectures for multivariate time series (MTS) forecasting. Recent Transformer-based MTS models generally prefer channel-independent structures with the observation that channel independence…

Machine Learning · Computer Science 2024-03-06 Ce Chi , Xing Wang , Kexin Yang , Zhiyan Song , Di Jin , Lin Zhu , Chao Deng , Junlan Feng