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This article proposes a new approach to modeling high-dimensional time series by treating a $p$-dimensional time series as a nonsingular linear transformation of certain common factors and idiosyncratic components. Unlike the approximate…

统计方法学 · 统计学 2020-12-15 Zhaoxing Gao , Ruey S. Tsay

Matrix factorization has now become a dominant solution for personalized recommendation on the Social Web. To alleviate the cold start problem, previous approaches have incorporated various additional sources of information into traditional…

信息检索 · 计算机科学 2017-08-15 Zhenghua Xu , Cheng Chen , Thomas Lukasiewicz , Yishu Miao

Data often comes in the form of an array or matrix. Matrix factorization techniques attempt to recover missing or corrupted entries by assuming that the matrix can be written as the product of two low-rank matrices. In other words, matrix…

机器学习 · 计算机科学 2015-12-16 Gintare Karolina Dziugaite , Daniel M. Roy

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

Motivated by electricity consumption metering, we extend existing nonnegative matrix factorization (NMF) algorithms to use linear measurements as observations, instead of matrix entries. The objective is to estimate multiple time series at…

机器学习 · 统计学 2016-10-06 Jiali Mei , Yohann De Castro , Yannig Goude , Georges Hébrail

While machine learning has witnessed significant advancements, the emphasis has largely been on data acquisition and model creation. However, achieving a comprehensive assessment of machine learning solutions in real-world settings…

The explosion of Time Series (TS) data, driven by advancements in technology, necessitates sophisticated analytical methods. Modern management systems increasingly rely on analyzing this data, highlighting the importance of effcient…

机器学习 · 计算机科学 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang

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

An approach is presented for making predictions about functional time series. The method is applied to data coming from periodically correlated processes and electricity demand, obtaining accurate point forecasts and narrow prediction bands…

统计方法学 · 统计学 2018-06-29 Antonio Elías , Raúl Jiménez

Transformer-based methods have achieved impressive results in time series forecasting. However, existing Transformers still exhibit limitations in sequence modeling as they tend to overemphasize temporal dependencies. This incurs additional…

机器学习 · 计算机科学 2025-12-16 Tan Wang , Yun Wei Dong , Qi Wang

Multivariate time series forecasting (MTSF) plays a vital role in numerous real-world applications, yet existing models remain constrained by their reliance on a limited historical context. This limitation prevents them from effectively…

机器学习 · 计算机科学 2026-02-12 Fanpu Cao , Lu Dai , Jindong Han , Hui Xiong

Time series data is being used everywhere, from sales records to patients' health evolution metrics. The ability to deal with this data has become a necessity, and time series analysis and forecasting are used for the same. Every Machine…

机器学习 · 计算机科学 2022-11-29 Rameshwar Garg , Shriya Barpanda , Girish Rao Salanke N S , Ramya S

Transformer-based and MLP-based methods have emerged as leading approaches in time series forecasting (TSF). While Transformer-based methods excel in capturing long-range dependencies, they suffer from high computational complexities and…

机器学习 · 计算机科学 2025-04-16 Yifan Hu , Peiyuan Liu , Peng Zhu , Dawei Cheng , Tao Dai

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

统计方法学 · 统计学 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

Dynamic mode decomposition (DMD) has become a powerful data-driven method for analyzing the spatiotemporal dynamics of complex, high-dimensional systems. However, conventional DMD methods are limited to matrix-based formulations, which…

系统与控制 · 电气工程与系统科学 2025-08-05 Ziqin He , Mengqi Hu , Yifei Lou , Can Chen

Unlike natural language processing and computer vision, the development of Foundation Models (FMs) for time series forecasting is blocked due to data scarcity. While recent efforts are focused on building such FMs by unlocking the potential…

机器学习 · 计算机科学 2024-10-10 Qingxiang Liu , Xu Liu , Chenghao Liu , Qingsong Wen , Yuxuan Liang

Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

物理与社会 · 物理学 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

Long-term time-series forecasting (LTTF) has become a pressing demand in many applications, such as wind power supply planning. Transformer models have been adopted to deliver high prediction capacity because of the high computational…

机器学习 · 计算机科学 2023-01-06 Yan Li , Xinjiang Lu , Haoyi Xiong , Jian Tang , Jiantao Su , Bo Jin , Dejing Dou

In Internet of things (IoT), data is continuously recorded from different data sources and devices can suffer faults in their embedded electronics, thus leading to a high-dimensional data sets and concept drift events. Therefore, methods…

机器学习 · 计算机科学 2021-07-22 Hugo Vinicius Bitencourt , Frederico Gadelha Guimarães

Time series refer to a series of data points indexed in time order, which can be found in various fields, e.g., transportation, healthcare, and finance. Accurate time series forecasting can enhance optimization planning and decision-making…

机器学习 · 计算机科学 2023-12-12 Ling Chen , Jiahua Cui