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We present a probabilistic forecasting framework based on convolutional neural network for multiple related time series forecasting. The framework can be applied to estimate probability density under both parametric and non-parametric…

Machine Learning · Statistics 2020-03-17 Yitian Chen , Yanfei Kang , Yixiong Chen , Zizhuo Wang

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

Long-term time series forecasting (LTSF) is hampered by the challenge of modeling complex dependencies that span multiple temporal scales and frequency resolutions. Existing methods, including Transformer and MLP-based models, often…

Machine Learning · Computer Science 2025-09-22 Qianyang Li , Xingjun Zhang , Shaoxun Wang , Jia Wei

Multivariate long-term time series forecasting has been suffering from the challenge of capturing both temporal dependencies within variables and spatial correlations across variables simultaneously. Current approaches predominantly…

Machine Learning · Computer Science 2025-09-15 Chenheng Xu , Dan Wu , Yixin Zhu , Ying Nian Wu

Transformer-based models have emerged as powerful tools for multivariate time series forecasting (MTSF). However, existing Transformer models often fall short of capturing both intricate dependencies across variate and temporal dimensions…

Machine Learning · Computer Science 2024-06-10 Juncheng Liu , Chenghao Liu , Gerald Woo , Yiwei Wang , Bryan Hooi , Caiming Xiong , Doyen Sahoo

Multivariate time series forecasting is a pivotal task in several domains, including financial planning, medical diagnostics, and climate science. This paper presents the Neural Fourier Transform (NFT) algorithm, which combines…

Machine Learning · Computer Science 2024-05-24 Noam Koren , Kira Radinsky

The exponential growth of multivariate time series data from sensor networks in domains like industrial monitoring and smart cities requires efficient and accurate forecasting models. Current deep learning methods often fail to adequately…

Machine Learning · Computer Science 2024-11-08 Xinxing Zhou , Jiaqi Ye , Shubao Zhao , Ming Jin , Chengyi Yang , Yanlong Wen , Xiaojie Yuan

In this study, we present aLLM4TS, an innovative framework that adapts Large Language Models (LLMs) for time-series representation learning. Central to our approach is that we reconceive time-series forecasting as a self-supervised,…

Machine Learning · Computer Science 2024-03-12 Yuxuan Bian , Xuan Ju , Jiangtong Li , Zhijian Xu , Dawei Cheng , Qiang Xu

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

A robust model for time series forecasting is highly important in many domains, including but not limited to financial forecast, air temperature and electricity consumption. To improve forecasting performance, traditional approaches usually…

Machine Learning · Computer Science 2019-09-19 Long H. Nguyen , Zhenhe Pan , Opeyemi Openiyi , Hashim Abu-gellban , Mahdi Moghadasi , Fang Jin

Convolution neural networks (CNNs) and Transformers have their own advantages and both have been widely used for dense prediction in multi-task learning (MTL). Most of the current studies on MTL solely rely on CNN or Transformer. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Yangyang Xu , Yibo Yang , Lefei Zhang

Tasks that involve high-resolution dense prediction require a modeling of both local and global patterns in a large input field. Although the local and global structures often depend on each other and their simultaneous modeling is…

Computer Vision and Pattern Recognition · Computer Science 2021-06-10 Naoya Takahashi , Yuki Mitsufuji

Multivariate long-term time series forecasting is of great application across many domains, such as energy consumption and weather forecasting. With the development of transformer-based methods, the performance of multivariate long-term…

Machine Learning · Computer Science 2023-05-29 Zheng Sun , Yi Wei , Wenxiao Jia , Long Yu

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

Machine Learning · Statistics 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

In deep time series forecasting, the Fourier Transform (FT) is extensively employed for frequency representation learning. However, it often struggles in capturing multi-scale, time-sensitive patterns. Although the Wavelet Transform (WT)…

Machine Learning · Computer Science 2026-02-09 Ziyu Zhou , Jiaxi Hu , Qingsong Wen , James T. Kwok , Yuxuan Liang

We present a method for conditional time series forecasting based on an adaptation of the recent deep convolutional WaveNet architecture. The proposed network contains stacks of dilated convolutions that allow it to access a broad range of…

Machine Learning · Statistics 2018-09-18 Anastasia Borovykh , Sander Bohte , Cornelis W. Oosterlee

Multivariate time series forecasting is an important yet challenging problem in machine learning. Most existing approaches only forecast the series value of one future moment, ignoring the interactions between predictions of future moments…

Machine Learning · Computer Science 2019-12-12 Jiezhu Cheng , Kaizhu Huang , Zibin Zheng

Time series forecasting presents significant challenges in real-world applications across various domains. Building upon the decomposition of the time series, we enhance the architecture of machine learning models for better multivariate…

Machine Learning · Computer Science 2026-02-24 Sanjeev Panta , Xu Yuan , Li Chen , Nian-Feng Tzeng

Deep learning (DL) approaches are being increasingly used for time-series forecasting, with many efforts devoted to designing complex DL models. Recent studies have shown that the DL success is often attributed to effective data…

Human-Computer Interaction · Computer Science 2023-07-28 Jianing Hao , Qing Shi , Yilin Ye , Wei Zeng

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