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Deducing the states of spatiotemporally chaotic systems (SCSs) as they evolve in time is crucial for various applications. However, it is a dramatic challenge for generally achieving so due to the complexity of non-periodic dynamics and the…

量子物理 · 物理学 2025-03-04 Longhan Wang , Yifan Sun , Xiangdong Zhang

Humans learn and form memories in stochastic environments. Auto-associative memory systems model these processes by storing patterns and later recovering them from corrupted versions. Here, memories are learned by associating each pattern…

系统与控制 · 电气工程与系统科学 2026-04-02 Qin He , Jing Shuang Li

Time series forecasting (TSF) is critical across domains such as finance, meteorology, and energy. While extending the lookback window theoretically provides richer historical context, in practice, it often introduces irrelevant noise and…

机器学习 · 计算机科学 2026-04-03 Xiang Ao , Yinyu Tan , Mengru Chen

Time series forecasting is vital in diverse sectors such as energy and transportation, where non-stationary dynamics are deeply intertwined with external events in other modalities such as texts. However, incorporating natural…

机器学习 · 计算机科学 2026-05-12 Yunfeng Ge , Ming Jin , Yiji Zhao , Hongyan Li , Bo Du , Chang Xu , Shirui Pan

Time series foundation models (TSFMs) have recently achieved strong zero-shot forecasting performance through large-scale pretraining and retrieval-augmented prediction. However, our empirical analysis reveals a non-trivial limitation of…

机器学习 · 计算机科学 2026-05-26 Jinjin Chi , Lei Feng , Lulu Zhang , Yongcheng Jing , Yiming Wang , Ximing Li , Jialie Shen , Leszek Rutkowski , Dacheng Tao

Forecasting nonlinear time series with multi-scale temporal structures remains a central challenge in complex systems modeling. We present a novel reservoir computing framework that combines delay embedding with random Fourier feature (RFF)…

神经与进化计算 · 计算机科学 2025-11-20 S. K. Laha

From the climate system to the effect of the internet on society, chaotic systems appear to have a significant role in our future. Here a method of statistical learning for a class of chaotic systems is described along with underlying…

应用统计 · 统计学 2020-02-26 Michael LuValle

Multivariate time series forecasting is extensively studied throughout the years with ubiquitous applications in areas such as finance, traffic, environment, etc. Still, concerns have been raised on traditional methods for incapable of…

机器学习 · 计算机科学 2018-09-10 Yen-Yu Chang , Fan-Yun Sun , Yueh-Hua Wu , Shou-De Lin

Clustering temporal and dynamically changing multivariate time series from real-world fields, called temporal clustering for short, has been a major challenge due to inherent complexities. Although several deep temporal clustering…

机器学习 · 计算机科学 2026-01-13 Zhi Wang , Yanni Li , Pingping Zheng , Yiyuan Jiao

A reliable and efficient representation of multivariate time series is crucial in various downstream machine learning tasks. In multivariate time series forecasting, each variable depends on its historical values and there are…

机器学习 · 计算机科学 2022-08-22 William T. Ng , K. Siu , Albert C. Cheung , Michael K. Ng

Time series forecasting, which aims to predict future values based on historical data, has garnered significant attention due to its broad range of applications. However, real-world time series often exhibit complex non-uniform distribution…

机器学习 · 计算机科学 2025-10-02 Yanru Sun , Zongxia Xie , Emadeldeen Eldele , Dongyue Chen , Qinghua Hu , Min Wu

Introduction: Long-term time series forecasting (LTSF) has gained significant attention in recent years. While various specialized designs exist for capturing temporal dependency, recent studies have shown that even a single linear layer…

机器学习 · 计算机科学 2026-05-19 Zhe Li , Shiyi Qi , Yiduo Li , Zenglin Xu

Recently, large language models (LLMs) have shown great promise in time series forecasting. However, most existing LLM-based forecasting methods still follow a static generative paradigm that directly maps historical observations to future…

机器学习 · 计算机科学 2026-05-05 Bokai Pan , Mingyue Cheng , Zhiding Liu , Shuo Yu , Xiaoyu Tao , Yuchong Wu , Qi Liu , Defu Lian , Enhong Chen

Recent deep learning models for Long-term Time Series Forecasting (LTSF) often emphasize complex, handcrafted designs, while simpler architectures like linear models or MLPs have often outperformed these intricate solutions. In this paper,…

机器学习 · 计算机科学 2025-05-26 Yihang Lu , Yangyang Xu , Qitao Qing , Xianwei Meng

Inspired by the success of large language models (LLMs) in natural language processing, recent research has explored the building of time series foundation models and applied them to tasks such as forecasting, classification, and anomaly…

机器学习 · 计算机科学 2025-06-04 Chihiro Maru , Shoetsu Sato

We consider the general problem of modeling temporal data with long-range dependencies, wherein new observations are fully or partially predictable based on temporally-distant, past observations. A sufficiently powerful temporal model…

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…

机器学习 · 计算机科学 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

Attention-based architectures have become ubiquitous in time series forecasting tasks, including spatio-temporal (STF) and long-term time series forecasting (LTSF). Yet, our understanding of the reasons for their effectiveness remains…

机器学习 · 计算机科学 2025-05-13 Suhan Guo , Jiahong Deng , Yi Wei , Hui Dou , Furao Shen , Jian Zhao

Long-term time series forecasting (LTSF) provides longer insights into future trends and patterns. Over the past few years, deep learning models especially Transformers have achieved advanced performance in LTSF tasks. However, LTSF faces…

机器学习 · 计算机科学 2024-06-28 Aobo Liang , Xingguo Jiang , Yan Sun , Xiaohou Shi , Ke Li

This paper presents a novel framework for human trajectory prediction based on multimodal data (video and radar). Motivated by recent neuroscience discoveries, we propose incorporating a structured memory component in the human trajectory…

计算机视觉与模式识别 · 计算机科学 2018-07-24 Tharindu Fernando , Simon Denman , Sridha Sridharan , Clinton Fookes