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We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally optimal piecewise linear (PWL) fitting problem. Our main contribution is a family of strengthened MIP…

Optimization and Control · Mathematics 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

While machine learning-based weather prediction (MLWP) has achieved significant advancements, research on assimilating real observations or ensemble forecasts within MLWP models remains limited. We introduce ClimaX-LETKF, the first purely…

Machine Learning · Computer Science 2025-12-17 Akira Takeshima , Kenta Shiraishi , Atsushi Okazaki , Tadashi Tsuyuki , Shunji Kotsuki

Forecast combination integrates information from various sources by consolidating multiple forecast results from the target time series. Instead of the need to select a single optimal forecasting model, this paper introduces a deep learning…

Machine Learning · Computer Science 2023-11-27 Yinuo Ren , Feng Li , Yanfei Kang , Jue Wang

Time series foundation models (TSFMs) have recently achieved remarkable success in universal forecasting by leveraging large-scale pretraining on diverse time series data. Complementing this progress, incorporating frequency-domain…

Machine Learning · Computer Science 2026-04-14 Shunyu Wu , Jiawei Huang , Weibin Feng , Boxin Li , Xiao Zhang , Erli Meng , Dan Li , Jian Lou , See-Kiong Ng

The stable periodic patterns present in time series data serve as the foundation for conducting long-horizon forecasts. In this paper, we pioneer the exploration of explicitly modeling this periodicity to enhance the performance of models…

Machine Learning · Computer Science 2024-10-16 Shengsheng Lin , Weiwei Lin , Xinyi Hu , Wentai Wu , Ruichao Mo , Haocheng Zhong

Multivariate time series forecasting is crucial across a wide range of domains. While presenting notable progress for the Transformer architecture, iTransformer still lags behind the latest MLP-based models. We attribute this performance…

Machine Learning · Computer Science 2025-11-12 Zhiwei Zhang , Xinyi Du , Xuanchi Guo , Weihao Wang , Wenjuan Han

Time series forecasting is widely used in business intelligence, e.g., forecast stock market price, sales, and help the analysis of data trend. Most time series of interest are macroscopic time series that are aggregated from microscopic…

Machine Learning · Computer Science 2021-10-28 Zhibo Zhu , Ziqi Liu , Ge Jin , Zhiqiang Zhang , Lei Chen , Jun Zhou , Jianyong Zhou

While machine learning has witnessed significant advancements, the emphasis has largely been on data acquisition and model creation. However, achieving a comprehensive assessment of machine learning solutions in real-world settings…

Multivariate time-series forecasting holds immense value across diverse applications, requiring methods to effectively capture complex temporal and inter-variable dynamics. A key challenge lies in uncovering the intrinsic patterns that…

Machine Learning · Computer Science 2025-03-12 Liang Yu , Lai Tu , Xiang Bai

Seasonal time series exhibit intricate long-term dependencies, posing a significant challenge for accurate future prediction. This paper introduces the Multi-scale Seasonal Decomposition Model (MSSD) for seasonal time-series forecasting.…

Machine Learning · Computer Science 2024-12-18 Yining Pang , Chenghan Li

Many methods aim to enhance time series forecasting by decomposing the series through intricate model structures and prior knowledge, yet they are inevitably limited by computational complexity and the robustness of the assumptions. Our…

Machine Learning · Computer Science 2025-10-07 Hanzhong Cao , Wenbo Yan , Ying Tan

In many data-driven applications, collecting data from different sources is increasingly desirable for enhancing performance. In this paper, we are interested in the problem of probabilistic forecasting with multi-source time series. We…

Machine Learning · Computer Science 2023-02-23 Tian Guo

Recently, MLP structures have regained popularity, with MLP-Mixer standing out as a prominent example. In the field of computer vision, MLP-Mixer is noted for its ability to extract data information from both channel and token perspectives,…

Machine Learning · Computer Science 2024-03-05 Qingfeng Ji , Yuxin Wang , Letong Sun

Reliable periodic patterns serve as a fundamental basis for accurate multivariate time series forecasting. However, existing methods either implicitly extract periodicity through complex model architectures (e.g., Transformers) with high…

Machine Learning · Computer Science 2026-05-06 Yingbo Zhou , Yutong Ye , Zhiwei Ling , Shuhao Li , Rui Qian , Jian Xiong , Li Sun , Dejing Dou

Time series forecasting is important in finance domain. Financial time series (TS) patterns are influenced by both short-term public opinions and medium-/long-term policy and market trends. Hence, processing multi-period inputs becomes…

Statistical Finance · Quantitative Finance 2026-02-03 Xu Zhang , Zhengang Huang , Yunzhi Wu , Xun Lu , Erpeng Qi , Yunkai Chen , Zhongya Xue , Qitong Wang , Peng Wang , Wei Wang

Time series forecasting is a critical task across domains such as energy, finance, and meteorology, where accurate predictions enable informed decision-making. While transformer-based and large-parameter models have recently achieved…

Machine Learning · Computer Science 2026-02-11 Julien Guité-Vinet , Alexandre Blondin Massé , Éric Beaudry

Multivariate time series forecasting is crucial for various applications, such as financial investment, energy management, weather forecasting, and traffic optimization. However, accurate forecasting is challenging due to two main factors.…

Machine Learning · Computer Science 2025-01-13 Xiangfei Qiu , Xingjian Wu , Yan Lin , Chenjuan Guo , Jilin Hu , Bin Yang

Long-term time-series forecasting remains challenging due to the difficulty in capturing long-term dependencies, achieving linear scalability, and maintaining computational efficiency. We introduce TimeMachine, an innovative model that…

Machine Learning · Computer Science 2024-08-26 Md Atik Ahamed , Qiang Cheng

Multivariate time series forecasting requires simultaneously modeling temporal patterns and cross-variate dependencies. Channel-independent methods such as PatchTST excel at temporal modeling but ignore variable correlations, while pure…

Machine Learning · Computer Science 2025-10-24 Yuhang Wang

Time series forecasting plays a critical role in domains such as energy, finance, and healthcare, where accurate predictions inform decision-making under uncertainty. Although Transformer-based models have demonstrated success in sequential…

Machine Learning · Computer Science 2025-05-27 Ali Forootani , Mohammad Khosravi