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Related papers: Nonparametric sequential prediction of time series

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We propose a nonparametric method for detecting nonlinear causal relationship within a set of multidimensional discrete time series, by using sparse additive models (SpAMs). We show that, when the input to the SpAM is a $\beta$-mixing time…

Machine Learning · Statistics 2018-04-27 Yingxiang Yang , Adams Wei Yu , Zhaoran Wang , Tuo Zhao

We develop algorithms for performing semiparametric regression analysis in real time, with data processed as it is collected and made immediately available via modern telecommunications technologies. Our definition of semiparametric…

Methodology · Statistics 2013-02-07 Jan Luts , Tamara Broderick , Matt P. Wand

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…

Data Analysis, Statistics and Probability · Physics 2014-03-10 S. Chen , X. Lan , Y. Hu , Q. Liu , Y. Deng

This paper presents an approach to modeling progressive event-history data when the overall objective is prediction based on time-dependent covariates. This approach does not model the hazard function directly. Instead, it models the…

Methodology · Statistics 2010-09-07 Song Cai , James V. Zidek , Nathaniel Newlands

Forecasting time series data is a critical area of research with applications spanning from stock prices to early epidemic prediction. While numerous statistical and machine learning methods have been proposed, real-life prediction problems…

Machine Learning · Statistics 2023-12-05 Madhurima Panja , Tanujit Chakraborty , Uttam Kumar , Abdenour Hadid

This paper presents a practical approach for detecting non-stationarity in time series prediction. This method is called SAFE and works by monitoring the evolution of the spectral contents of time series through a distance function. This…

Machine Learning · Computer Science 2018-05-18 Arief Koesdwiady , Fakhri Karray

We introduce a statistical method to detect nonlinearity and nonstationarity in time series, that works even for short sequences and in presence of noise. The method has a discrimination power similar to that of the most advanced estimators…

Chaotic Dynamics · Physics 2010-11-16 M. De Domenico , V. Latora

In this paper we propose using a nonparametric model specification test for parametric time series with long-range dependence (LRD). To establish asymptotic distributions of the proposed test statistic, we develop new central limit theorems…

Statistics Theory · Mathematics 2013-12-11 Jiti Gao , Qiying Wang , Jiying Yin

Time series forecasting with limited data is a challenging yet critical task. While transformers have achieved outstanding performances in time series forecasting, they often require many training samples due to the large number of…

Machine Learning · Computer Science 2019-10-23 Yunkai Zhang , Qiao Jiang , Shurui Li , Xiaoyong Jin , Xueying Ma , Xifeng Yan

When the response mechanism is believed to be not missing at random (NMAR), a valid analysis requires stronger assumptions on the response mechanism than standard statistical methods would otherwise require. Semiparametric estimators have…

Methodology · Statistics 2020-05-08 Kosuke Morikawa , Jae Kwang Kim

Neural marked temporal point processes have been a valuable addition to the existing toolbox of statistical parametric models for continuous-time event data. These models are useful for sequences where each event is associated with a single…

Machine Learning · Computer Science 2024-03-20 Yuxin Chang , Alex Boyd , Padhraic Smyth

Time series forecasting is essential for agents to make decisions. Traditional approaches rely on statistical methods to forecast given past numeric values. In practice, end-users often rely on visualizations such as charts and plots to…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Srijan Sood , Zhen Zeng , Naftali Cohen , Tucker Balch , Manuela Veloso

Probabilistic programming has emerged as a powerful paradigm in statistics, applied science, and machine learning: by decoupling modelling from inference, it promises to allow modellers to directly reason about the processes generating…

Machine Learning · Statistics 2019-06-10 Maria I. Gorinova , Dave Moore , Matthew D. Hoffman

We investigate and extend the conformal prediction method due to Vovk,Gammerman and Shafer (2005) to construct nonparametric prediction regions. These regions have guaranteed distribution free, finite sample coverage, without any…

Statistics Theory · Mathematics 2011-11-08 Jing Lei , James Robins , Larry Wasserman

Non-stationarity is a fundamental challenge in multivariate long-term time series forecasting, often manifested as rapid changes in amplitude and phase. These variations lead to severe distribution shifts and consequently degrade predictive…

Machine Learning · Computer Science 2026-03-19 Yue Hu , Jialiang Tang , Siwei Yu , Baosheng Yu , Jing Zhang , Dacheng Tao

Irregularly-sampled time series occur in many domains including healthcare. They can be challenging to model because they do not naturally yield a fixed-dimensional representation as required by many standard machine learning models. In…

Machine Learning · Computer Science 2020-08-19 Steven Cheng-Xian Li , Benjamin M. Marlin

Irregular multivariate time series with missing values present significant challenges for predictive modeling in domains such as healthcare. While deep learning approaches often focus on temporal interpolation or complex architectures to…

Machine Learning · Computer Science 2026-03-16 Dingyi Nie , Yixing Wu , C. -C. Jay Kuo

In recent years, specific evaluation metrics for time series anomaly detection algorithms have been developed to handle the limitations of the classical precision and recall. However, such metrics are heuristically built as an aggregate of…

Machine Learning · Computer Science 2022-10-13 Alexis Huet , Jose Manuel Navarro , Dario Rossi

It is increasingly common to encounter time-varying random fields on networks (metabolic networks, sensor arrays, distributed computing, etc.). This paper considers the problem of optimal, nonlinear prediction of these fields, showing from…

Probability · Mathematics 2022-02-17 Cosma Rohilla Shalizi

A weighted version of the parareal method for parallel-in-time computation of time dependent problems is presented. Linear stability analysis for a scalar weighing strategy shows that the new scheme may enjoy favorable stability properties…

Numerical Analysis · Mathematics 2018-02-09 Gil Ariel , Hieu Nguyen , Richard Tsai