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A time series represents a set of observations collected over time. Typically, these observations are captured with a uniform sampling frequency (e.g. daily). When data points are observed in uneven time intervals the time series is…

机器学习 · 计算机科学 2022-01-03 Pedro Costa , Vitor Cerqueira , João Vinagre

Time series are generated in diverse domains such as economic, traffic, health, and energy, where forecasting of future values has numerous important applications. Not surprisingly, many forecasting methods are being proposed. To ensure…

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

We propose a dual-factor model for high-dimensional functional time series (HDFTS) that considers multiple populations. The HDFTS is first decomposed into a collection of functional time series (FTS) in a lower dimension and a group of…

统计方法学 · 统计学 2024-05-13 Chen Tang , Han Lin Shang , Yanrong Yang , Yang Yang

Financial time series forecasting presents significant challenges due to complex nonlinear relationships, temporal dependencies, variable interdependencies and limited data availability, particularly for tasks involving low-frequency data,…

综合金融 · 定量金融 2025-07-11 Ben A. Marconi

Time series forecasting plays a crucial role in various applications, particularly in healthcare, where accurate predictions of future health trajectories can significantly impact clinical decision-making. Ensuring transparency and…

机器学习 · 计算机科学 2025-05-22 Jeremy Qin

Multi-step temporal-difference (TD) learning, where the update targets contain information from multiple time steps ahead, is one of the most popular forms of TD learning for linear function approximation. The reason is that multi-step…

人工智能 · 计算机科学 2016-08-19 Harm van Seijen

Financial time series (FinTS) record the behavior of human-brain-augmented decision-making, capturing valuable historical information that can be leveraged for profitable investment strategies. Not surprisingly, this area has attracted…

计算工程、金融与科学 · 计算机科学 2026-05-12 Yifan Hu , Yuante Li , Peiyuan Liu , Yuxia Zhu , Naiqi Li , Tao Dai , Shu-tao Xia , Dawei Cheng , Changjun Jiang

Process Model Forecasting (PMF) aims to predict how the control-flow structure of a process evolves over time by modeling the temporal dynamics of directly-follows (DF) relations, complementing predictive process monitoring that focuses on…

机器学习 · 计算机科学 2025-12-09 Yongbo Yu , Jari Peeperkorn , Johannes De Smedt , Jochen De Weerdt

We present a continuous time state estimation framework that unifies traditionally individual tasks of smoothing, tracking, and forecasting (STF), for a class of targets subject to smooth motion processes, e.g., the target moves with nearly…

应用统计 · 统计学 2021-04-21 Tiancheng Li , Huimin Chen , Shudong Sun , Juan M Corchado

We propose a nonstationary functional time series forecasting method with an application to age-specific mortality rates observed over the years. The method begins by taking the first-order differencing and estimates its long-run covariance…

统计方法学 · 统计学 2024-11-20 Han Lin Shang , Yang Yang

A functional time series approach is proposed for investigating spatial correlation in daily maximum temperature forecast errors for 111 cities spread across the U.S. The modelling of spatial correlation is most fruitful for longer forecast…

统计方法学 · 统计学 2021-11-23 Phillip A. Jang , David S. Matteson

We address the problem of forecasting high-dimensional functional time series through a two-fold dimension reduction procedure. The difficulty of forecasting high-dimensional functional time series lies in the curse of dimensionality. In…

统计方法学 · 统计学 2018-10-03 Yuan Gao , Han Lin Shang , Yanrong Yang

Conformal prediction is a powerful post-hoc framework for uncertainty quantification that provides distribution-free coverage guarantees. However, these guarantees crucially rely on the assumption of exchangeability. This assumption is…

统计方法学 · 统计学 2025-11-18 M. Stocker , W. Małgorzewicz , M. Fontana , S. Ben Taieb

In many phenomena, data are collected on a large scale and of different frequencies. In this context, functional data analysis (FDA) has become an important statistical methodology for analyzing and modeling such data. The approach of FDA…

统计方法学 · 统计学 2022-04-11 Israel Martínez-Hernández , Marc G. Genton

The problem of prediction of a given time series is examined on the basis of recent nonlinear dynamics theories. Particular attention is devoted to forecast the amplitude and phase of one of the most common solar indicator activity, the…

数据分析、统计与概率 · 物理学 2007-05-23 Stefano Sello

We study the modeling and forecasting of high-dimensional functional time series (HDFTS), which can be cross-sectionally correlated and temporally dependent. We introduce a decomposition of the HDFTS into two distinct components: a…

统计方法学 · 统计学 2024-02-14 Cristian F. Jiménez-Varón , Ying Sun , Han Lin Shang

Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed stochastic process. In this paper, we show that every…

统计理论 · 数学 2020-01-01 Xiucai Ding , Zhou Zhou

The dynamic time scan forecasting method relies on the premise that the most important pattern in a time series precedes the forecasting window, i.e., the last observed values. Thus, a scan procedure is applied to identify similar patterns,…

In economics and many other forecasting domains, the real world problems are too complex for a single model that assumes a specific data generation process. The forecasting performance of different methods changes depending on the nature of…

机器学习 · 计算机科学 2023-09-26 Li Li , Feng Li , Yanfei Kang