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Transformers have shown great power in time series forecasting due to their global-range modeling ability. However, their performance can degenerate terribly on non-stationary real-world data in which the joint distribution changes over…

机器学习 · 计算机科学 2023-11-27 Yong Liu , Haixu Wu , Jianmin Wang , Mingsheng Long

Due to the non-stationarity of time series, the distribution shift problem largely hinders the performance of time series forecasting. Existing solutions either rely on using certain statistics to specify the shift, or developing specific…

机器学习 · 计算机科学 2025-02-10 Wei Fan , Shun Zheng , Pengyang Wang , Rui Xie , Kun Yi , Qi Zhang , Jiang Bian , Yanjie Fu

Time series forecasting is critical for decision-making across dynamic domains such as energy, finance, transportation, and cloud computing. However, real-world time series often exhibit non-stationarity, including temporal distribution…

机器学习 · 计算机科学 2025-12-01 Junkai Lu , Peng Chen , Chenjuan Guo , Yang Shu , Meng Wang , Bin Yang

Temporal non-stationarity, the phenomenon that time series distributions change over time, poses fundamental challenges to reliable time series forecasting. Intuitively, the complex time series can be decomposed into two factors, \ie…

机器学习 · 计算机科学 2025-10-21 Mingyuan Xia , Chunxu Zhang , Zijian Zhang , Hao Miao , Qidong Liu , Yuanshao Zhu , Bo Yang

Forecasting faithful trajectories of multivariate time series from practical scopes is essential for reasonable decision-making. Recent methods majorly tailor generative conditional diffusion models to estimate the target temporal…

机器学习 · 计算机科学 2024-10-04 Siyang Li , Yize Chen , Hui Xiong

Recently, multivariate time series forecasting tasks have garnered increasing attention due to their significant practical applications, leading to the emergence of various deep forecasting models. However, real-world time series exhibit…

机器学习 · 计算机科学 2024-07-16 Jiaxi Hu , Qingsong Wen , Sijie Ruan , Li Liu , Yuxuan Liang

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

机器学习 · 计算机科学 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Deep learning has shown impressive results in a variety of time series forecasting tasks, where modeling the conditional distribution of the future given the past is the essence. However, when this conditional distribution is…

机器学习 · 计算机科学 2024-02-27 Siqi Liu , Andreas Lehrmann

The non-stationary nature of real-world Multivariate Time Series (MTS) data presents forecasting models with a formidable challenge of the time-variant distribution of time series, referred to as distribution shift. Existing studies on the…

机器学习 · 计算机科学 2024-07-19 Hui He , Qi Zhang , Kun Yi , Xiaojun Xue , Shoujin Wang , Liang Hu , Longbing Cao

Time series forecasting typically needs to address non-stationary data with evolving trend and seasonal patterns. To address the non-stationarity, reversible instance normalization has been recently proposed to alleviate impacts from the…

机器学习 · 计算机科学 2024-10-01 Weiwei Ye , Songgaojun Deng , Qiaosha Zou , Ning Gui

The forecasting of Multivariate Time Series (MTS) has long been an important but challenging task. Due to the non-stationary problem across long-distance time steps, previous studies primarily adopt stationarization method to attenuate the…

机器学习 · 计算机科学 2024-03-11 Muyao Wang , Wenchao Chen , Bo Chen

Due to the dynamics of underlying physics and external influences, the uncertainty of time series often varies over time. However, existing Denoising Diffusion Probabilistic Models (DDPMs) often fail to capture this non-stationary nature,…

机器学习 · 计算机科学 2026-04-14 Weiwei Ye , Zhuopeng Xu , Ning Gui

Real-world time series are influenced by numerous factors and exhibit complex non-stationary characteristics. Non-stationarity can lead to distribution shifts, where the statistical properties of time series change over time, negatively…

机器学习 · 计算机科学 2025-10-13 Zipo Jibao , Yingyi Fu , Xinyang Chen , Guoting Chen

Time series forecasting has important applications in financial analysis, weather forecasting, and traffic management. However, existing deep learning models are limited in processing non-stationary time series data because they cannot…

机器学习 · 计算机科学 2025-05-13 Yuqi Xiong , Yang Wen

Recent lightweight MLP-based models have achieved strong performance in time series forecasting by capturing stable trends and seasonal patterns. However, their effectiveness hinges on an implicit assumption of local stationarity…

机器学习 · 计算机科学 2026-01-29 Zhiyu Chen , Minhao Liu , Yanru Zhang

Time series forecasting models are becoming increasingly prevalent due to their critical role in decision-making across various domains. However, most existing approaches represent the coupled temporal patterns, often neglecting the…

机器学习 · 计算机科学 2025-09-26 Jintao Zhang , Mingyue Cheng , Xiaoyu Tao , Zhiding Liu , Daoyu Wang

Forecasting conditional stochastic nonlinear dynamical systems is a fundamental challenge repeatedly encountered across the biological and physical sciences. While flow-based models can impressively predict the temporal evolution of…

机器学习 · 计算机科学 2025-04-02 Adam P. Generale , Andreas E. Robertson , Surya R. Kalidindi

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) are widely used as generic feature extractors, yet the notion of non-stationarity in their embedding spaces remains poorly understood. Recent work often conflates non-stationarity with distribution…

机器学习 · 计算机科学 2026-04-21 Jinmyeong Choi , Brad Shook , Artur Dubrawski

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
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