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Understanding and predicting environmental phenomena often requires the construction of spatio-temporal statistical models, which are typically Gaussian processes. A common assumption made on Gaussian processes is that of covariance…

Methodology · Statistics 2023-03-17 Quan Vu , Andrew Zammit-Mangion , Stephen J. Chuter

In recent years, change point detection for high dimensional data has become increasingly important in many scientific fields. Most literature develop a variety of separate methods designed for specified models (e.g. mean shift model,…

Methodology · Statistics 2022-07-20 Yue Bai , Abolfazl Safikhani

Among the main goals in multiple change point problems are the estimation of the number and positions of the change points, as well as the regime structure in the clusters induced by those changes. The product partition model (PPM) is a…

Methodology · Statistics 2021-08-11 Ricardo C. Pedroso , Rosangela H. Loschi , Fernando Andrés Quintana

Targeted maximum likelihood estimation is a general methodology combining flexible ensemble learning and semiparametric efficiency theory in a two-step procedure for estimation of causal parameters. Proposed targeted maximum likelihood…

Methodology · Statistics 2021-06-22 Helene Charlotte Wiese Rytgaard , Frank Eriksson , Mark van der Laan

Conformal prediction has been explored as a general and efficient way to provide uncertainty quantification for time series. However, current methods struggle to handle time series data with change points - sudden shifts in the underlying…

Machine Learning · Computer Science 2025-12-02 Sophia Sun , Rose Yu

We propose estimation methods for change points in high-dimensional covariance structures with an emphasis on challenging scenarios with missing values. We advocate three imputation like methods and investigate their implications on common…

Machine Learning · Statistics 2020-10-26 Malte Londschien , Solt Kovács , Peter Bühlmann

Spatio-temporal forecasting is challenging attributing to the high nonlinearity in temporal dynamics as well as complex location-characterized patterns in spatial domains, especially in fields like weather forecasting. Graph convolutions…

Machine Learning · Computer Science 2021-12-14 Haitao Lin , Zhangyang Gao , Yongjie Xu , Lirong Wu , Ling Li , Stan. Z. Li

We present the group fused Lasso for detection of multiple change-points shared by a set of co-occurring one-dimensional signals. Change-points are detected by approximating the original signals with a constraint on the multidimensional…

Quantitative Methods · Quantitative Biology 2011-06-23 Kevin Bleakley , Jean-Philippe Vert

Gibbs point processes (GPPs) constitute a large and flexible class of spatial point processes with explicit dependence between the points. They can model attractive as well as repulsive point patterns. Feature selection procedures are an…

Statistics Theory · Mathematics 2021-01-22 Ismaïla Ba , Jean-François Coeurjolly

Change-point detection (CPD) aims to locate abrupt transitions in the generative model of a sequence of observations. When Bayesian methods are considered, the standard practice is to infer the posterior distribution of the change-point…

Machine Learning · Statistics 2019-10-23 Pablo Moreno-Muñoz , David Ramírez , Antonio Artés-Rodríguez

A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the…

Applications · Statistics 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

The non-stationary evolution of observable quantities in complex systems can frequently be described as a juxtaposition of quasi-stationary spells. Given that standard theoretical and data analysis approaches usually rely on the assumption…

Statistical Mechanics · Physics 2011-10-18 S. Camargo , S. Duarte Queirós , C. Anteneodo

We study the problem of detecting change points (CPs) that are characterized by a subset of dimensions in a multi-dimensional sequence. A method for detecting those CPs can be formulated as a two-stage method: one for selecting relevant…

Machine Learning · Statistics 2018-03-05 Yuta Umezu , Ichiro Takeuchi

We propose a new framework for the detection of change-points in online, sequential data analysis. The approach utilizes nearest neighbor information and can be applied to sequences of multivariate observations or non-Euclidean data…

Methodology · Statistics 2018-05-01 Hao Chen

We propose the first comprehensive treatment of high-dimensional time series factor models with multiple change-points in their second-order structure. We operate under the most flexible definition of piecewise stationarity, and estimate…

Methodology · Statistics 2019-01-31 Matteo Barigozzi , Haeran Cho , Piotr Fryzlewicz

We investigate the online detection of changepoints in the distribution of a sequence of observations using degenerate U-statistic-type processes. We study weighted versions of: an ordinary, CUSUM-type scheme, a Page-CUSUM-type scheme, and…

Statistics Theory · Mathematics 2025-10-28 Cooper Boniece , Lajos Horvath , Lorenzo Trapani

We address the computational challenge of finding the robust sequential change-point detection procedures when the pre- and post-change distributions are not completely specified. Earlier works [veeravalli 1994] and [Unnikrishnan 2011]…

Methodology · Statistics 2018-03-14 Yang Cao , Yao Xie

Nonparametric regression models with locally stationary covariates have received increasing interest in recent years. As a nice relief of "curse of dimensionality" induced by large dimension of covariates, additive regression model is…

Statistics Theory · Mathematics 2016-12-02 Lixia Hu , Tao Huang , Jinhong You

We study change point detection and localization for univariate data in fully nonparametric settings in which, at each time point, we acquire an i.i.d. sample from an unknown distribution. We quantify the magnitude of the distributional…

Methodology · Statistics 2019-05-27 Oscar Hernan Madrid Padilla , Yi Yu , Daren Wang , Alessandro Rinaldo

Change point analysis has become an important research topic in many fields of applications. Several research work has been carried out to detect changes and its locations in time series data. In this paper, a nonparametric method based on…

Methodology · Statistics 2017-11-28 Ramadha D. Piyadi Gamage , Wei Ning
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