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Traffic flow forecasting is a crucial task in transportation management and planning. The main challenges for traffic flow forecasting are that (1) as the length of prediction time increases, the accuracy of prediction will decrease; (2)…

Artificial Intelligence · Computer Science 2024-05-13 Jianli Xiao , Baichao Long

Time series forecasting is crucial for many fields, such as disaster warning, weather prediction, and energy consumption. The Transformer-based models are considered to have revolutionized the field of sequence modeling. However, the…

Machine Learning · Computer Science 2022-11-01 Junlong Tong , Liping Xie , Wankou Yang , Kanjian Zhang

Transformer-based models have emerged as promising tools for time series forecasting. However, these model cannot make accurate prediction for long input time series. On the one hand, they failed to capture global dependencies within time…

Machine Learning · Computer Science 2023-08-16 YanJun Zhao , Ziqing Ma , Tian Zhou , Liang Sun , Mengni Ye , Yi Qian

In recent years, numerous Transformer-based models have been applied to long-term time-series forecasting (LTSF) tasks. However, recent studies with linear models have questioned their effectiveness, demonstrating that simple linear layers…

Machine Learning · Computer Science 2024-08-20 Jiaheng Yin , Zhengxin Shi , Jianshen Zhang , Xiaomin Lin , Yulin Huang , Yongzhi Qi , Wei Qi

In machine learning, effective modeling requires a holistic consideration of how to encode inputs, make predictions (i.e., decoding), and train the model. However, in time-series forecasting, prior work has predominantly focused on encoder…

Machine Learning · Computer Science 2025-12-30 Jaebin Lee , Hankook Lee

Recently, the superiority of Transformer for long-term time series forecasting (LTSF) tasks has been challenged, particularly since recent work has shown that simple models can outperform numerous Transformer-based approaches. This suggests…

Machine Learning · Computer Science 2023-10-10 Shengsheng Lin , Weiwei Lin , Wentai Wu , Songbo Wang , Yongxiang Wang

Deep forecasting models often suffer from attenuated periodic perception and entangled trend-noise representations as network depth increases. Moreover, the widely adopted channel-independent paradigm, while improving training stability,…

Machine Learning · Computer Science 2026-05-19 Hua Wang , Xianhao Jiao , Fan Zhang

The emergence of deep learning has yielded noteworthy advancements in time series forecasting (TSF). Transformer architectures, in particular, have witnessed broad utilization and adoption in TSF tasks. Transformers have proven to be the…

Machine Learning · Computer Science 2023-11-01 Liyilei Su , Xumin Zuo , Rui Li , Xin Wang , Heng Zhao , Bingding Huang

Time series forecasting plays a vital role across scientific, industrial, and environmental domains, especially when dealing with high-dimensional and nonlinear systems. While Transformer-based models have recently achieved state-of-the-art…

Machine Learning · Computer Science 2025-08-05 Ali Forootani , Mohammad Khosravi , Masoud Barati

To analyze multivariate time series, most previous methods assume regular subsampling of time series, where the interval between adjacent measurements and the number of samples remain unchanged. Practically, data collection systems could…

Machine Learning · Computer Science 2023-10-18 Yuxi Wei , Juntong Peng , Tong He , Chenxin Xu , Jian Zhang , Shirui Pan , Siheng Chen

Recent work has shown that simple linear models can outperform several Transformer based approaches in long term time-series forecasting. Motivated by this, we propose a Multi-layer Perceptron (MLP) based encoder-decoder model, Time-series…

Machine Learning · Statistics 2024-04-05 Abhimanyu Das , Weihao Kong , Andrew Leach , Shaan Mathur , Rajat Sen , Rose Yu

Recently, there has been a surge of Transformer-based solutions for the long-term time series forecasting (LTSF) task. Despite the growing performance over the past few years, we question the validity of this line of research in this work.…

Artificial Intelligence · Computer Science 2022-08-18 Ailing Zeng , Muxi Chen , Lei Zhang , Qiang Xu

Spatiotemporal data is ubiquitous, and forecasting it has important applications in many domains. However, its complex cross-component dependencies and non-linear temporal dynamics can be challenging for traditional techniques. Existing…

Machine Learning · Computer Science 2025-03-27 Hao Yuan Bai , Xue Liu

Long-term time series forecasting (LTSF) has been widely applied in finance, traffic prediction, and other domains. Recently, patch-based transformers have emerged as a promising approach, segmenting data into sub-level patches that serve…

Machine Learning · Computer Science 2024-08-06 Ruixin Ding , Yuqi Chen , Yu-Ting Lan , Wei Zhang

Transformers for time series forecasting mainly model time series from limited or fixed scales, making it challenging to capture different characteristics spanning various scales. We propose Pathformer, a multi-scale Transformer with…

Machine Learning · Computer Science 2024-09-17 Peng Chen , Yingying Zhang , Yunyao Cheng , Yang Shu , Yihang Wang , Qingsong Wen , Bin Yang , Chenjuan Guo

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

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

There has been a recent surge of interest in time series modeling using the Transformer architecture. However, forecasting multivariate time series with Transformer presents a unique challenge as it requires modeling both temporal…

Machine Learning · Computer Science 2025-07-04 Yu-Hsiang Lan , Eric K. Oermann

Among the existing Transformer-based multivariate time series forecasting methods, iTransformer, which treats each variable sequence as a token and only explicitly extracts cross-variable dependencies, and PatchTST, which adopts a…

Machine Learning · Computer Science 2025-01-08 Liyang Qin , Xiaoli Wang , Chunhua Yang , Huaiwen Zou , Haochuan Zhang

Multivariate time series (MTS) forecasting has been extensively applied across diverse domains, such as weather prediction and energy consumption. However, current studies still rely on the vanilla point-wise self-attention mechanism to…

Machine Learning · Computer Science 2024-05-21 Yingnan Yang , Qingling Zhu , Jianyong Chen