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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

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

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

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 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

Time series forecasting remains a challenging task, particularly in the context of complex multiscale temporal patterns. This study presents LLM-Mixer, a framework that improves forecasting accuracy through the combination of multiscale…

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

Time series forecasting (TSF) is crucial in fields like economic forecasting, weather prediction, traffic flow analysis, and public health surveillance. Real-world time series data often include noise, outliers, and missing values, making…

Machine Learning · Computer Science 2024-07-09 Quangao Liu , Ruiqi Li , Maowei Jiang , Wei Yang , Chen Liang , LongLong Pang , Zhuozhang Zou

Multivariate time series forecasting remains a challenge due to the complexity of local temporal dynamics and global dependencies across multiple variables. In this paper, we propose \textbf{N}eighboring \textbf{P}atching \textbf{Mixer}…

Machine Learning · Computer Science 2026-05-11 Jung Min Choi , Vijaya Krishna Yalavarthi , Lars Schmidt-Thieme

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

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…

Forecasting long-term time series in IoT environments remains a significant challenge due to the non-stationary and multi-scale characteristics of sensor signals. Furthermore, error accumulation causes a decrease in forecast quality when…

Machine Learning · Computer Science 2025-11-10 Qianyang Li , Xingjun Zhang , Peng Tao , Shaoxun Wang , Yancheng Pan , Jia Wei

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

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

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 is prevalent across numerous fields, necessitating the development of robust and accurate forecasting models. Capturing patterns both within and between temporal and multivariate components is crucial for reliable…

Machine Learning · Computer Science 2025-11-21 Maurice Kraus , Felix Divo , Devendra Singh Dhami , Kristian Kersting

In the context of increasing demands for long-term multi-energy load forecasting in real-world applications, this paper introduces Patchformer, a novel model that integrates patch embedding with encoder-decoder Transformer-based…

Machine Learning · Computer Science 2024-04-17 Qiuyi Hong , Fanlin Meng , Felipe Maldonado

Time series forecasters are widely used across various domains. Among them, MLP (multi-layer perceptron)-based forecasters have been proven to be more robust to noise compared to Transformer-based forecasters. However, MLP struggles to…

Machine Learning · Computer Science 2026-03-18 Xiang Ao

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
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