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This article presents a novel method for prediction of stationary functional time series, in particular for trajectories that share a similar pattern but display variable phases. The limitation of most of the existing prediction…

统计方法学 · 统计学 2022-02-08 Shuhao Jiao , Hernando Ombao

A common forecasting setting in real world applications considers a set of possibly heterogeneous time series of the same domain. Due to different properties of each time series such as length, obtaining forecasts for each individual time…

统计方法学 · 统计学 2024-01-31 Lukas Neubauer , Peter Filzmoser

Should prediction models always deliver a prediction? In the pursuit of maximum predictive performance, critical considerations of reliability and fairness are often overshadowed, particularly when it comes to the role of uncertainty.…

机器学习 · 计算机科学 2024-10-29 Anna Sokol , Nuno Moniz , Nitesh Chawla

Forecasts support decision making in a variety of applications. Statistical models can produce accurate forecasts given abundant training data, but when data is sparse, rapidly changing, or unavailable, statistical models may not be able to…

应用统计 · 统计学 2020-05-19 Thomas McAndrew , Nutcha Wattanachit , G. Casey Gibson , Nicholas G. Reich

Forecasting can estimate the statement of events according to the historical data and it is considerably important in many disciplines. At present, time series models have been utilized to solve forecasting problems in various domains. In…

数据分析、统计与概率 · 物理学 2014-03-10 S. Chen , X. Lan , Y. Hu , Q. Liu , Y. Deng

In many areas of decision-making, forecasting is an essential pillar. Consequently, many different forecasting methods have been proposed. From our experience, recently presented forecasting methods are computationally intensive, poorly…

机器学习 · 计算机科学 2023-09-29 André Bauer , Mark Leznik , Michael Stenger , Robert Leppich , Nikolas Herbst , Samuel Kounev , Ian Foster

Locally weighted regression was created as a nonparametric learning method that is computationally efficient, can learn from very large amounts of data and add data incrementally. An interesting feature of locally weighted regression is…

机器学习 · 计算机科学 2014-02-05 Franziska Meier , Philipp Hennig , Stefan Schaal

We introduce a technique of time series analysis, potential forecasting, which is based on dynamical propagation of the probability density of time series. We employ polynomial coefficients of the orthogonal approximation of the empirical…

数据分析、统计与概率 · 物理学 2015-06-12 V. N. Livina , G. Lohmann , M. Mudelsee , T. M. Lenton

We develop an estimator for the high-dimensional covariance matrix of a locally stationary process with a smoothly varying trend and use this statistic to derive consistent predictors in non-stationary time series. In contrast to the…

统计方法学 · 统计学 2020-01-08 Holger Dette , Weichi Wu

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

The increased demand for online prediction and the growing availability of large data sets drives the need for computationally efficient models. While exact Gaussian process regression shows various favorable theoretical properties…

Matrix factorization is a powerful data analysis tool. It has been used in multivariate time series analysis, leading to the decomposition of the series in a small set of latent factors. However, little is known on the statistical…

统计理论 · 数学 2020-09-22 Pierre Alquier , Nicolas Marie

This paper discusses desirable properties of forecasting models in production systems. It then develops a family of models which are designed to satisfy these properties: highly customizable to capture complex patterns; accommodates a large…

统计方法学 · 统计学 2021-05-05 Reza Hosseini , Kaixu Yang , Albert Chen , Sayan Patra

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

Time-series classification is an important domain of machine learning and a plethora of methods have been developed for the task. In comparison to existing approaches, this study presents a novel method which decomposes a time-series…

机器学习 · 计算机科学 2015-03-12 Josif Grabocka , Lars Schmidt-Thieme

The surrogate data method is widely applied as a data dependent technique to test observed time series against a barrage of hypotheses. However, often the hypotheses one is able to address are not those of greatest interest, particularly…

混沌动力学 · 物理学 2007-05-23 Xiaodong Luo , Tomomichi Nakamura , Michael Small

We propose a conformal prediction method for constructing tight simultaneous prediction intervals for multiple, potentially related, numerical outputs given a single input. This method can be combined with any multi-target regression model…

统计方法学 · 统计学 2025-12-18 Yunjie Fan , Matteo Sesia

The paper describes the use of Bayesian regression for building time series models and stacking different predictive models for time series. Using Bayesian regression for time series modeling with nonlinear trend was analyzed. This approach…

应用统计 · 统计学 2022-01-07 Bohdan M. Pavlyshenko

Motivated by a broad range of potential applications, we address the quantile prediction problem of real-valued time series. We present a sequential quantile forecasting model based on the combination of a set of elementary nearest…

统计方法学 · 统计学 2010-06-16 Gérard Biau , Benoît Patra

We propose a few-shot learning method for spatial regression. Although Gaussian processes (GPs) have been successfully used for spatial regression, they require many observations in the target task to achieve a high predictive performance.…

机器学习 · 统计学 2020-10-12 Tomoharu Iwata , Yusuke Tanaka