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Large-scale and multidimensional spatiotemporal data sets are becoming ubiquitous in many real-world applications such as monitoring urban traffic and air quality. Making predictions on these time series has become a critical challenge due…

机器学习 · 统计学 2021-04-21 Xinyu Chen , Lijun Sun

A large collection of time series poses significant challenges for classical and neural forecasting approaches. Classical time series models fail to fit data well and to scale to large problems, but succeed at providing uncertainty…

机器学习 · 统计学 2018-12-04 Danielle C. Maddix , Yuyang Wang , Alex Smola

Matrix factor model is drawing growing attention for simultaneous two-way dimension reduction of well-structured matrix-valued observations. This paper focuses on robust statistical inference for matrix factor model in the ``diverging…

统计方法学 · 统计学 2023-06-07 Yong He , Xin-Bing Kong , Dong Liu , Ran Zhao

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…

机器学习 · 计算机科学 2025-12-09 Andrey Savchenko , Oleg Kachan

Long-term time-series forecasting is essential for planning and decision-making in economics, energy, and transportation, where long foresight is required. To obtain such long foresight, models must be both efficient and effective in…

机器学习 · 计算机科学 2025-09-05 Chao Ma , Yikai Hou , Xiang Li , Yinggang Sun , Haining Yu , Zhou Fang , Jiaxing Qu

We show how a recently introduced statistics [Patil et al, Phys. Rev. Lett. 81 5878 (2001)] provides a direct relationship between dimension and predictability in spatiotemporal chaotic systems. Regions of low dimension are identified as…

混沌动力学 · 物理学 2007-05-23 Gerson Francisco , Paulsamy Muruganandam

Pre-trained Large Language Models (LLMs) encapsulate large amounts of knowledge and take enormous amounts of compute to train. We make use of this resource, together with the observation that LLMs are able to transfer knowledge and…

机器学习 · 计算机科学 2025-01-14 Malcolm L. Wolff , Shenghao Yang , Kari Torkkola , Michael W. Mahoney

Seasonal time series Forecasting remains a challenging problem due to the long-term dependency from seasonality. In this paper, we propose a two-stage framework to forecast univariate seasonal time series. The first stage explicitly learns…

机器学习 · 计算机科学 2021-06-08 Qingyang Xu , Qingsong Wen , Liang Sun

In this paper, we propose a machine learning approach for forecasting hierarchical time series. When dealing with hierarchical time series, apart from generating accurate forecasts, one needs to select a suitable method for producing…

机器学习 · 计算机科学 2021-07-12 Paolo Mancuso , Veronica Piccialli , Antonio M. Sudoso

Transformer-based architectures have achieved remarkable success in natural language processing and computer vision. However, their performance in multivariate long-term forecasting often falls short compared to simpler linear baselines.…

机器学习 · 计算机科学 2025-07-09 Dizhen Liang

We study adaptive pooling under predictive heterogeneity in high-dimensional multivariate time series forecasting, where global models improve statistical efficiency but may fail to capture heterogeneous predictive structure, while naive…

统计方法学 · 统计学 2026-04-16 Ziling Ma , Ángel López Oriona , Hernando Ombao , Ying Sun

Spatio-temporal forecasting plays a crucial role in various sectors such as transportation systems, logistics, and supply chain management. However, existing methods are limited by their ability to handle large, complex datasets. To…

机器学习 · 计算机科学 2024-08-27 Sakhinana Sagar Srinivas , Chidaksh Ravuru , Geethan Sannidhi , Venkataramana Runkana

Multivariate time series forecasting is an important machine learning problem across many domains, including predictions of solar plant energy output, electricity consumption, and traffic jam situation. Temporal data arise in these…

机器学习 · 计算机科学 2018-04-20 Guokun Lai , Wei-Cheng Chang , Yiming Yang , Hanxiao Liu

Matrix factorization exploits the idea that, in complex high-dimensional data, the actual signal typically lies in lower-dimensional structures. These lower dimensional objects provide useful insight, with interpretability favored by sparse…

统计方法学 · 统计学 2022-12-14 Lorenzo Schiavon , Bernardo Nipoti , Antonio Canale

Deciding the best future execution time is a critical task in many business activities while evolving time series forecasting, and optimal timing strategy provides such a solution, which is driven by observed data. This solution has plenty…

人工智能 · 计算机科学 2023-10-10 Chen Pan , Fan Zhou , Xuanwei Hu , Xinxin Zhu , Wenxin Ning , Zi Zhuang , Siqiao Xue , James Zhang , Yunhua Hu

We develop an estimation methodology for a factor model for high-dimensional matrix-valued time series, where common stochastic trends and common stationary factors can be present. We study, in particular, the estimation of (row and column)…

统计方法学 · 统计学 2025-01-06 Rong Chen , Simone Giannerini , Greta Goracci , Lorenzo Trapani

Time series forecasting is critical in numerous real-world applications, requiring accurate predictions of future values based on observed patterns. While traditional forecasting techniques work well in in-domain scenarios with ample data,…

机器学习 · 计算机科学 2024-11-26 Liran Nochumsohn , Michal Moshkovitz , Orly Avner , Dotan Di Castro , Omri Azencot

We propose a novel approach to the problem of clustering hierarchically aggregated time-series data, which has remained an understudied problem though it has several commercial applications. We first group time series at each aggregated…

机器学习 · 计算机科学 2022-05-30 Xing Han , Tongzheng Ren , Jing Hu , Joydeep Ghosh , Nhat Ho

Matrix factorization from a small number of observed entries has recently garnered much attention as the key ingredient of successful recommendation systems. One unresolved problem in this area is how to adapt current methods to handle…

机器学习 · 计算机科学 2012-08-07 John Z. Sun , Kush R. Varshney , Karthik Subbian

While Transformers excel in language and vision-where inputs are semantically rich and exhibit univariate dependency structures-their architectural complexity leads to diminishing returns in time series forecasting. Time series data is…

机器学习 · 计算机科学 2025-06-09 Yash Vijay , Harini Subramanyan