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In long-term multivariate time series forecasting, effectively capturing both periodic patterns and residual dynamics is essential. To address this within standard deep learning benchmark settings, we propose the Hierarchical Patching Mixer…

Machine Learning · Computer Science 2026-02-20 Jung Min Choi , Vijaya Krishna Yalavarthi , Lars Schmidt-Thieme

Time series forecasting is crucial for various applications, such as weather forecasting, power load forecasting, and financial analysis. In recent studies, MLP-mixer models for time series forecasting have been shown as a promising…

Machine Learning · Computer Science 2024-12-24 Md Mahmuddun Nabi Murad , Mehmet Aktukmak , Yasin Yilmaz

Time series forecasting is widely used in extensive applications, such as traffic planning and weather forecasting. However, real-world time series usually present intricate temporal variations, making forecasting extremely challenging.…

Machine Learning · Computer Science 2024-05-24 Shiyu Wang , Haixu Wu , Xiaoming Shi , Tengge Hu , Huakun Luo , Lintao Ma , James Y. Zhang , Jun Zhou

Traffic forecasting task is significant to modern urban management. Recently, there is growing attention on large-scale forecasting, as it better reflects the complexity of real-world traffic networks. However, existing models often exhibit…

Machine Learning · Computer Science 2025-12-10 Yongyao Wang , Jingyuan Wang , Xie Yu , Jiahao Ji , Chao Li

Although the Transformer has been the dominant architecture for time series forecasting tasks in recent years, a fundamental challenge remains: the permutation-invariant self-attention mechanism within Transformers leads to a loss of…

Machine Learning · Computer Science 2024-10-15 Zeying Gong , Yujin Tang , Junwei Liang

Recent lightweight MLP-based models have achieved strong performance in time series forecasting by capturing stable trends and seasonal patterns. However, their effectiveness hinges on an implicit assumption of local stationarity…

Machine Learning · Computer Science 2026-01-29 Zhiyu Chen , Minhao Liu , Yanru Zhang

Spatial-temporal forecasting systems play a crucial role in addressing numerous real-world challenges. In this paper, we investigate the potential of addressing spatial-temporal forecasting problems using general time series forecasting…

Transformers have gained popularity in time series forecasting for their ability to capture long-sequence interactions. However, their high memory and computing requirements pose a critical bottleneck for long-term forecasting. To address…

Machine Learning · Computer Science 2023-12-12 Vijay Ekambaram , Arindam Jati , Nam Nguyen , Phanwadee Sinthong , Jayant Kalagnanam

Time series forecasting is a crucial task in various domains. Caused by factors such as trends, seasonality, or irregular fluctuations, time series often exhibits non-stationary. It obstructs stable feature propagation through deep layers,…

Machine Learning · Computer Science 2024-01-05 Xiang Ma , Xuemei Li , Lexin Fang , Tianlong Zhao , Caiming Zhang

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

Long-term time series forecasting requires models that simultaneously capture rapid oscillations, medium-range periodicities, and slowly evolving macro-trends from a fixed look-back window. Existing lightweight MLP-based models typically…

Machine Learning · Computer Science 2026-05-18 Ahmed Cherif

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

Spatiotemporal forecasting is critical in applications such as traffic prediction, climate modeling, and environmental monitoring. However, the prevalence of missing data in real-world sensor networks significantly complicates this task. In…

Machine Learning · Computer Science 2025-01-20 Muhammad Bilal , Luis Carretero Lopez

Recent studies have attempted to refine the Transformer architecture to demonstrate its effectiveness in Long-Term Time Series Forecasting (LTSF) tasks. Despite surpassing many linear forecasting models with ever-improving performance, we…

Machine Learning · Computer Science 2024-12-30 Peiwang Tang , Weitai Zhang

Real-world time-series datasets are often multivariate with complex dynamics. To capture this complexity, high capacity architectures like recurrent- or attention-based sequential deep learning models have become popular. However, recent…

Machine Learning · Computer Science 2023-09-12 Si-An Chen , Chun-Liang Li , Nate Yoder , Sercan O. Arik , Tomas Pfister

In urban computing, precise and swift forecasting of multivariate time series data from traffic networks is crucial. This data incorporates additional spatial contexts such as sensor placements and road network layouts, and exhibits complex…

Machine Learning · Computer Science 2024-12-19 Tongtong Zhang , Zhiyong Cui , Bingzhang Wang , Yilong Ren , Haiyang Yu , Pan Deng , Yinhai Wang

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…

Modeling multiscale patterns is crucial for long-term time series forecasting (TSF). However, redundancy and noise in time series, together with semantic gaps between non-adjacent scales, make the efficient alignment and integration of…

Machine Learning · Computer Science 2026-02-19 Xu Zhang , Qitong Wang , Peng Wang , Wei Wang

The performance of transformers for time-series forecasting has improved significantly. Recent architectures learn complex temporal patterns by segmenting a time-series into patches and using the patches as tokens. The patch size controls…

Machine Learning · Computer Science 2024-03-25 Yitian Zhang , Liheng Ma , Soumyasundar Pal , Yingxue Zhang , Mark Coates

Long-term time series forecasting (LTSF) offers broad utility in practical settings like energy consumption and weather prediction. Accurately predicting long-term changes, however, is demanding due to the intricate temporal patterns and…

Machine Learning · Computer Science 2025-05-19 Boshi Gao , Qingjian Ni , Fanbo Ju , Yu Chen , Ziqi Zhao
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