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Unlocking the potential of deep learning in Peak-Hour Series Forecasting (PHSF) remains a critical yet underexplored task in various domains. While state-of-the-art deep learning models excel in regular Time Series Forecasting (TSF), they…

Machine Learning · Computer Science 2023-10-03 Zhenwei Zhang , Xin Wang , Jingyuan Xie , Heling Zhang , Yuantao Gu

Spatial and time-dependent data is of interest in many applications. This task is difficult due to its complex spatial dependency, long-range temporal dependency, data non-stationarity, and data heterogeneity. To address these challenges,…

Machine Learning · Computer Science 2021-01-11 Yang Li , José M. F. Moura

Transformer-based methods have achieved state-of-the-art performance in time series forecasting (TSF) by capturing positional and semantic topological relationships among input tokens. However, it remains unclear whether existing…

Artificial Intelligence · Computer Science 2025-10-27 Jianqi Zhang , Wenwen Qiang , Jingyao Wang , Jiahuan Zhou , Changwen Zheng , Hui Xiong

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

Over the past few decades, the hydrology community has witnessed notable advancements in streamflow prediction, particularly with the introduction of cutting-edge machine-learning algorithms. Recurrent neural networks, especially Long…

Machine Learning · Computer Science 2023-05-23 Sinan Rasiya Koya , Tirthankar Roy

Hyperparameter optimization (HPO) is a necessary step to ensure the best possible performance of Machine Learning (ML) algorithms. Several methods have been developed to perform HPO; most of these are focused on optimizing one performance…

Machine Learning · Computer Science 2022-11-16 Alejandro Morales-Hernández , Inneke Van Nieuwenhuyse , Sebastian Rojas Gonzalez

Multivariate time series forecasting focuses on predicting future values based on historical context. State-of-the-art sequence-to-sequence models rely on neural attention between timesteps, which allows for temporal learning but fails to…

Machine Learning · Computer Science 2023-03-21 Jake Grigsby , Zhe Wang , Nam Nguyen , Yanjun Qi

Time series forecasting has traditionally focused on univariate and multivariate numerical data, often overlooking the benefits of incorporating multimodal information, particularly textual data. In this paper, we propose a novel framework…

Artificial Intelligence · Computer Science 2025-01-14 Xin Zhou , Weiqing Wang , Shilin Qu , Zhiqiang Zhang , Christoph Bergmeir

Reservoir simulations for petroleum fields and seismic imaging are known as the most demanding workloads for high-performance computing (HPC) in the oil and gas (O&G) industry. The optimization of the simulator numerical parameters plays a…

Computational Engineering, Finance, and Science · Computer Science 2022-08-05 Felipe Albuquerque Portella , David Buchaca Prats , José Roberto Pereira Rodrigues , Josep Lluís Berral

Accurate forecasting of multivariate time series data remains a formidable challenge, particularly due to the growing complexity of temporal dependencies in real-world scenarios. While neural network-based models have achieved notable…

Machine Learning · Computer Science 2025-12-09 Andrey Savchenko , Oleg Kachan

Reliable uncertainty quantification is critical in multivariate time series forecasting problems arising in domains such as energy systems and transportation networks, among many others. Although Transformer-based architectures have…

Machine Learning · Computer Science 2026-03-13 Rajdeep Pathak , Rahul Goswami , Madhurima Panja , Palash Ghosh , Tanujit Chakraborty

The massive generation of time-series data by largescale Internet of Things (IoT) devices necessitates the exploration of more effective models for multivariate time-series forecasting. In previous models, there was a predominant use of the…

Machine Learning · Computer Science 2024-03-15 Wenyong Han , Tao Zhu Member , Liming Chen , Huansheng Ning , Yang Luo , Yaping Wan

The past decade has witnessed significant advances in time series modeling with deep learning. While achieving state-of-the-art results, the best-performing architectures vary highly across applications and domains. Meanwhile, for natural…

Machine Learning · Computer Science 2024-04-03 Defu Cao , Furong Jia , Sercan O Arik , Tomas Pfister , Yixiang Zheng , Wen Ye , Yan Liu

Long-term multivariate time series forecasting (LTSF) plays a crucial role in various high-performance computing applications, including real-time energy grid management and large-scale traffic flow simulation. However, existing solutions…

Machine Learning · Computer Science 2026-02-03 Qianyang Li , Xingjun Zhang , Shaoxun Wang , Jia Wei , Yueqi Xing

Functional time series (FTS) data have become increasingly available in real-world applications. Research on such data typically focuses on two objectives: curve reconstruction and forecasting, both of which require efficient dimension…

Methodology · Statistics 2025-06-23 Zerui Guo , Jianbin Tan , Hui Huang

Time series forecasting is critical for decision-making across dynamic domains such as energy, finance, transportation, and cloud computing. However, real-world time series often exhibit non-stationarity, including temporal distribution…

Machine Learning · Computer Science 2025-12-01 Junkai Lu , Peng Chen , Chenjuan Guo , Yang Shu , Meng Wang , Bin Yang

With the expansion of renewables in the electricity mix, power grid variability will increase, hence a need to robustify the system to guarantee its security. Therefore, Transport System Operators (TSOs) must conduct analyses to simulate…

Machine Learning · Computer Science 2023-09-28 Nathan Weill , Jonathan Dumas

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

The Topological Signal Processing (TSP) framework has been recently developed to analyze signals defined over simplicial complexes, i.e. topological spaces represented by finite sets of elements that are closed under inclusion of subsets…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Stefania Sardellitti , Sergio Barbarossa , Lucia Testa

Multivariate time series data provide a robust framework for future predictions by leveraging information across multiple dimensions, ensuring broad applicability in practical scenarios. However, their high dimensionality and mixing…

Machine Learning · Computer Science 2024-11-28 Xuanbing Zhu , Dunbin Shen , Zhongwen Rao , Huiyi Ma , Yingguang Hao , Hongyu Wang