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Transformer requires a fixed number of layers and heads which makes them inflexible to the complexity of individual samples and expensive in training and inference. To address this, we propose a sample-based Dynamic Hierarchical Transformer…

Machine Learning · Computer Science 2024-01-11 Fanfei Meng , Lele Zhang , Yu Chen , Yuxin Wang

Traffic forecasting is a complex multivariate time-series regression task of paramount importance for traffic management and planning. However, existing approaches often struggle to model complex multi-range dependencies using local…

Machine Learning · Computer Science 2023-11-07 Dongcheng Zou , Senzhang Wang , Xuefeng Li , Hao Peng , Yuandong Wang , Chunyang Liu , Kehua Sheng , Bo Zhang

We study the forecasting problem for traffic with dynamic, possibly periodical, and joint spatial-temporal dependency between regions. Given the aggregated inflow and outflow traffic of regions in a city from time slots 0 to t-1, we predict…

Machine Learning · Computer Science 2022-05-05 Guanyao Li , Shuhan Zhong , S. -H. Gary Chan , Ruiyuan Li , Chih-Chieh Hung , Wen-Chih Peng

Transformer-based models have greatly pushed the boundaries of time series forecasting recently. Existing methods typically encode time series data into $\textit{patches}$ using one or a fixed set of patch lengths. This, however, could…

Machine Learning · Computer Science 2024-02-09 Linfeng Du , Ji Xin , Alex Labach , Saba Zuberi , Maksims Volkovs , Rahul G. Krishnan

Currently, in the field of video-text retrieval, there are many transformer-based methods. Most of them usually stack frame features and regrade frames as tokens, then use transformers for video temporal modeling. However, they commonly…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Ni Wang , Dongliang Liao , Xing Xu

Multivariate time series forecasting, which analyzes historical time series to predict future trends, can effectively help decision-making. Complex relations among variables in MTS, including static, dynamic, predictable, and latent…

Machine Learning · Computer Science 2021-12-16 Yueyang Wang , Ziheng Duan , Yida Huang , Haoyan Xu , Jie Feng , Anni Ren

Accurately predicting the demand for ride-hailing services can result in significant benefits such as more effective surge pricing strategies, improved driver positioning, and enhanced customer service. By understanding the demand…

Machine Learning · Computer Science 2023-06-27 Sheraz Hassan , Muhammad Tahir , Momin Uppal , Zubair Khalid , Ivan Gorban , Selim Turki

Variable count is among the main scalability bottlenecks for transformer modeling in multivariate time series (MTS) data. On top of this, a growing consensus in the field points to indiscriminate inter-variable mixing as a potential source…

Machine Learning · Computer Science 2025-09-25 Hunjae Lee , Corey Clark

Spatio-Temporal Multivariate time series Forecast (STMF) uses the time series of $n$ spatially distributed variables in a period of recent past to forecast their values in a period of near future. It has important applications in…

Machine Learning · Computer Science 2025-10-29 Zibo Liu , Zhe Jiang , Zelin Xu , Tingsong Xiao , Yupu Zhang , Zhengkun Xiao , Haibo Wang , Shigang Chen

Real-world time series often exhibit strong non-stationarity, complex nonlinear dynamics, and behavior expressed across multiple temporal scales, from rapid local fluctuations to slow-evolving long-range trends. However, many contemporary…

Machine Learning · Computer Science 2026-05-19 Sumit S Shevtekar , Chandresh K Maurya

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

In the domain of multivariate time series analysis, the concept of channel independence has been increasingly adopted, demonstrating excellent performance due to its ability to eliminate noise and the influence of irrelevant variables.…

Machine Learning · Computer Science 2024-12-18 Haoxin Wang , Yipeng Mo , Kunlan Xiang , Nan Yin , Honghe Dai , Bixiong Li , Songhai Fan , Site Mo

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

Multivariate time series forecasting plays a crucial role in various real-world applications. Significant efforts have been made to integrate advanced network architectures and training strategies that enhance the capture of temporal…

Machine Learning · Computer Science 2024-10-31 Zhiding Liu , Jiqian Yang , Qingyang Mao , Yuze Zhao , Mingyue Cheng , Zhi Li , Qi Liu , Enhong Chen

Accurate load forecasting plays a vital role in numerous sectors, but accurately capturing the complex dynamics of dynamic power systems remains a challenge for traditional statistical models. For these reasons, time-series models (ARIMA)…

Neural and Evolutionary Computing · Computer Science 2024-02-06 Anuvab Sen , Arul Rhik Mazumder , Udayon Sen

Space-Time Projection (STP) is introduced as a data-driven forecasting approach for high-dimensional and time-resolved data. The method computes extended space-time proper orthogonal modes from training data spanning a prediction horizon…

Machine Learning · Computer Science 2025-04-01 Oliver T. Schmidt

High dimensional predictive regressions are useful in wide range of applications. However, the theory is mainly developed assuming that the model is stationary with time invariant parameters. This is at odds with the prevalent evidence for…

Econometrics · Economics 2019-10-09 Kashif Yousuf , Serena Ng

Time series forecasting is widely used in the fields of equipment life cycle forecasting, weather forecasting, traffic flow forecasting, and other fields. Recently, some scholars have tried to apply Transformer to time series forecasting…

Machine Learning · Computer Science 2022-02-24 Benhan Li , Shengdong Du , Tianrui Li

Spatiotemporal Traffic Data (STTD) measures the complex dynamical behaviors of the multiscale transportation system. Existing methods aim to reconstruct STTD using low-dimensional models. However, they are limited to data-specific…

Machine Learning · Computer Science 2024-10-25 Tong Nie , Guoyang Qin , Wei Ma , Jian Sun

While generative modeling on time series facilitates more capable and flexible probabilistic forecasting, existing generative time series models do not address the multi-dimensional properties of time series data well. The prevalent…

Machine Learning · Computer Science 2026-02-09 Haoran Zhang , Haixuan Liu , Yong Liu , Yunzhong Qiu , Yuxuan Wang , Jianmin Wang , Mingsheng Long