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We investigate the effectiveness of time series foundation models (TSFMs) for crowd flow prediction, focusing on Moirai and TimesFM. Evaluated on three real-world mobility datasets-Bike NYC, Taxi Beijing, and Spanish national OD flows-these…

Machine Learning · Computer Science 2025-07-02 Massimiliano Luca , Ciro Beneduce , Bruno Lepri

In this work, we introduce FLAME, a family of extremely lightweight and capable Time Series Foundation Models, which support both deterministic and probabilistic forecasting via generative probabilistic modeling, thus ensuring both…

Machine Learning · Computer Science 2026-02-10 Xingjian Wu , Hanyin Cheng , Xiangfei Qiu , Zhengyu Li , Jilin Hu , Chenjuan Guo , Bin Yang

Time series foundation models (TSFMs) promise to be powerful tools for a wide range of applications. However, their internal representations and learned concepts are still not well understood. In this study, we investigate the structure and…

Machine Learning · Computer Science 2025-06-09 Michał Wiliński , Mononito Goswami , Willa Potosnak , Nina Żukowska , Artur Dubrawski

Time series are generated in diverse domains such as economic, traffic, health, and energy, where forecasting of future values has numerous important applications. Not surprisingly, many forecasting methods are being proposed. To ensure…

Probabilistic forecasting is essential for modern risk management, allowing decision-makers to quantify uncertainty in critical systems. This paper tackles this challenge using the volatile REFIT household dataset, which is complicated by a…

Machine Learning · Computer Science 2025-12-02 Midhun Manoj

Time-series forecasting plays a critical role in many real-world applications. Although increasingly powerful models have been developed and achieved superior results on benchmark datasets, through a fine-grained sample-level inspection, we…

Machine Learning · Computer Science 2025-05-27 Zhining Liu , Ze Yang , Xiao Lin , Ruizhong Qiu , Tianxin Wei , Yada Zhu , Hendrik Hamann , Jingrui He , Hanghang Tong

Foundation models (FMs) for the Earth system learn statistical relationships between physical variables across massive datasets to enable versatile downstream applications through finetuning, separating them from task-specific weather…

In time series analysis, traditional bootstrapping methods often fall short due to their assumption of data independence, a condition rarely met in time-dependent data. This paper introduces tsbootstrap, a python package designed…

Applications · Statistics 2024-04-24 Sankalp Gilda , Benedikt Heidrich , Franz Kiraly

Time series foundation models (TSFMs) have demonstrated increasing capabilities due to their extensive pretraining on large volumes of diverse time series data. Consequently, the quality of time series data is crucial to TSFM performance,…

Machine Learning · Computer Science 2026-03-11 Shunyu Wu , Tianyue Li , Yixuan Leng , Jingyi Suo , Jian Lou , Dan Li , See-Kiong Ng

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

Statistics Theory · Mathematics 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

Long-term time series forecasting (LTSF) is a critical task across diverse domains. Despite significant advancements in LTSF research, we identify a performance bottleneck in existing LTSF methods caused by the inadequate modeling of…

Machine Learning · Computer Science 2025-09-22 Qi Xiong , Kai Tang , Minbo Ma , Ji Zhang , Jie Xu , Tianrui Li

Recent Transformer-based large language models (LLMs) demonstrate in-context learning ability to perform various functions based solely on the provided context, without updating model parameters. To fully utilize the in-context capabilities…

Machine Learning · Computer Science 2026-02-06 Jiecheng Lu , Yan Sun , Shihao Yang

Aggregating multiple learners through an ensemble of models aim to make better predictions by capturing the underlying distribution of the data more accurately. Different ensembling methods, such as bagging, boosting, and stacking/blending,…

Machine Learning · Statistics 2020-11-03 Mohsen Shahhosseini , Guiping Hu , Hieu Pham

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

Many businesses and industries require accurate forecasts for weekly time series nowadays. However, the forecasting literature does not currently provide easy-to-use, automatic, reproducible and accurate approaches dedicated to this task.…

Machine Learning · Computer Science 2023-12-05 Rakshitha Godahewa , Christoph Bergmeir , Geoffrey I. Webb , Pablo Montero-Manso

Recent advances in time series research facilitate the development of foundation models. While many state-of-the-art time series foundation models have been introduced, few studies examine their effectiveness in specific downstream…

Machine Learning · Computer Science 2025-12-01 Junyang He , Judy Fox , Alireza Jafari , Ying-Jung Chen , Geoffrey Fox

Ensembles are popular methods for solving practical supervised learning problems. They reduce the risk of having underperforming models in production-grade software. Although critical, methods for learning heterogeneous regression ensembles…

Machine Learning · Computer Science 2018-04-18 Jihed Khiari , Luis Moreira-Matias , Ammar Shaker , Bernard Zenko , Saso Dzeroski

The attention mechanism has demonstrated remarkable potential in sequence modeling, exemplified by its successful application in natural language processing with models such as Bidirectional Encoder Representations from Transformers (BERT)…

Machine Learning · Computer Science 2025-11-26 Bowen Zhao , Huanlai Xing , Zhiwen Xiao , Jincheng Peng , Li Feng , Xinhan Wang , Rong Qu , Hui Li

Unsupervised/self-supervised time series representation learning is a challenging problem because of its complex dynamics and sparse annotations. Existing works mainly adopt the framework of contrastive learning with the time-based…

Machine Learning · Computer Science 2022-05-31 Ling Yang , Shenda Hong

Time series foundation models have recently gained a lot of attention due to their ability to model complex time series data encompassing different domains including traffic, energy, and weather. Although they exhibit strong average…

Machine Learning · Computer Science 2026-01-21 Shivani Tomar , Seshu Tirupathi , Elizabeth Daly , Ivana Dusparic
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