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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

Time-series stationarity is a property that statistical characteristics such as trend, variance, seasonality remain constant over time. It is considered fundamental to many forecasting and analysis methods. Different tests detect different…

统计方法学 · 统计学 2026-04-13 Bhanu Suraj Malla , Yuqing Hu

Synthetic data has transformed language model training, yet its role in time series forecasting remains poorly understood. We present a large-scale empirical study: nine experiment groups, 4,218 runs systematically evaluating synthetic time…

机器学习 · 计算机科学 2026-05-08 Hugo Cazaux , Eyjólfur Ingi Ásgeirsson , Hlynur Stefánsson

Time series forecasting is a critical first step in generating demand plans for supply chains. Experiments on time series models typically focus on demonstrating improvements in forecast accuracy over existing/baseline solutions, quantified…

机器学习 · 计算机科学 2025-08-15 Steven Klee , Yuntian Xia

We present online prediction methods for time series that let us explicitly handle nonstationary artifacts (e.g. trend and seasonality) present in most real time series. Specifically, we show that applying appropriate transformations to…

机器学习 · 统计学 2018-08-28 Christopher Xie , Avleen Bijral , Juan Lavista Ferres

Time series encountered in practice are rarely stationary. When the data distribution changes, a forecasting model trained on past observations can lose accuracy. We study a small-footprint test-time adaptation (TTA) framework for causal…

统计金融 · 定量金融 2026-02-03 Yurui Wu , Qingying Deng , Wonou Chung , Mairui Li

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

We study the performance of transformer architectures for multivariate time-series forecasting in low-data regimes consisting of only a few years of daily observations. Using synthetically generated processes with known temporal and…

机器学习 · 计算机科学 2026-02-11 Cyril Garcia , Guillaume Remy

Time series forecasting is a fundamental tool with wide ranging applications, yet recent debates question whether complex nonlinear architectures truly outperform simple linear models. Prior claims of dominance of the linear model often…

机器学习 · 计算机科学 2026-02-13 Md Rakibul Haque , Vishwa Goudar , Shireen Elhabian , Warren Woodrich Pettine

Access to comprehensive flight operations data remains severely restricted in aviation due to commercial sensitivity and competitive considerations, hindering the development of predictive models for operational planning. This paper…

机器学习 · 计算机科学 2025-08-05 Abdulmajid Murad , Massimiliano Ruocco

Non-stationarity affects the sensitivity of change detection in correlated systems described by sets of measurable variables. We study this by projecting onto different principal components. Non-stationarity is modeled as multiple normal…

数据分析、统计与概率 · 物理学 2023-06-22 Henrik M. Bette , Michael Schreckenberg , Thomas Guhr

We introduce a Gaussian process-based model for handling of non-stationarity. The warping is achieved non-parametrically, through imposing a prior on the relative change of distance between subsequent observation inputs. The model allows…

机器学习 · 统计学 2019-12-06 David Tolpin

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

机器学习 · 计算机科学 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

Machine learning for time-series forecasting remains a key area of research. Despite successful application of many machine learning techniques, relating computational efficiency to forecast error remains an under-explored domain. This…

机器学习 · 计算机科学 2023-09-28 Elin Törnquist , Wagner Costa Santos , Timothy Pogue , Nicholas Wingle , Robert A. Caulk

Deep Neural Networks have spearheaded remarkable advancements in time series forecasting (TSF), one of the major tasks in time series modeling. Nonetheless, the non-stationarity of time series undermines the reliability of pre-trained…

机器学习 · 计算机科学 2025-01-10 HyunGi Kim , Siwon Kim , Jisoo Mok , Sungroh Yoon

In the domain of multivariate forecasting, transformer models stand out as powerful apparatus, displaying exceptional capabilities in handling messy datasets from real-world contexts. However, the inherent complexity of these datasets,…

机器学习 · 计算机科学 2024-03-08 Jingjing Xu , Caesar Wu , Yuan-Fang Li , Pascal Bouvry

Large pre-trained models have demonstrated remarkable capabilities across domains, but their effectiveness in time series forecasting remains understudied. This work empirically examines whether pre-trained large-scale time series models…

机器学习 · 计算机科学 2025-07-08 Sanjay Chakraborty , Ibrahim Delibasoglu , Fredrik Heintz

Time series modeling techniques based on deep learning have seen many advancements in recent years, especially in data-abundant settings and with the central aim of learning global models that can extract patterns across multiple time…

机器学习 · 计算机科学 2020-05-21 Stephan Rabanser , Tim Januschowski , Valentin Flunkert , David Salinas , Jan Gasthaus

A deterministic multiscale toy model is studied in which a chaotic fast subsystem triggers rare transitions between slow regimes, akin to weather or climate regimes. Using homogenization techniques, a reduced stochastic parametrization…

数据分析、统计与概率 · 物理学 2012-04-11 Lewis Mitchell , Georg A. Gottwald

Non-stationary sequences arise naturally in control, forecasting, and decision-making. The data-generating process shifts at unknown times, and models must detect the change, discard or downweight obsolete evidence, and adapt to new…

机器学习 · 计算机科学 2026-04-21 Carson Dudley , Yutong Bi , Xiaofeng Liu , Samet Oymak
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