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This paper proposes a new robust smooth-threshold estimating equation to select important variables and automatically estimate parameters for high dimensional longitudinal data. A novel working correlation matrix is proposed to capture…

Methodology · Statistics 2021-11-30 Liya Fu , Jiaqi Li , You-Gan Wang

The quickest change detection problem is considered in the context of monitoring large-scale independent normal distributed data streams with possible changes in some of the means. It is assumed that for each individual local data stream,…

Statistics Theory · Mathematics 2016-03-18 Yuan Wang , Yajun Mei

Testing for change points in sequences of covariance matrices is an important and equally challenging problem in statistical methodology with applications in various fields. Motivated by the observation that even in cases where the ratio…

Statistics Theory · Mathematics 2026-01-14 Nina Dörnemann , Holger Dette

How can we detect traffic disturbances from international flight transportation logs or changes to collaboration dynamics in academic networks? These problems can be formulated as detecting anomalous change points in a dynamic graph.…

Machine Learning · Computer Science 2023-05-16 Shenyang Huang , Jacob Danovitch , Guillaume Rabusseau , Reihaneh Rabbany

The problem of testing changes in covariance has received increasing attention in recent years, especially in the context of high-dimensional testing. A number of approaches have been proposed, all limited to the two-sample problem and…

Methodology · Statistics 2016-09-06 Yi-Hui Zhou

The problem of identifying change points in high-dimensional Gaussian graphical models (GGMs) in an online fashion is of interest, due to new applications in biology, economics and social sciences. The offline version of the problem, where…

Statistics Theory · Mathematics 2020-03-18 Hossein Keshavarz , George Michailidis

Detection of change-points in a sequence of high-dimensional observations is a very challenging problem, and this becomes even more challenging when the sample size (i.e., the sequence length) is small. In this article, we propose some…

Methodology · Statistics 2021-11-30 Trisha Dawn , Angshuman Roy , Alokesh Manna , Anil K. Ghosh

We present a geometric version of Quickest Change Detection (QCD) and Quickest Hub Discovery (QHD) tests in correlation structures that allows us to include and combine new information with distance metrics. The topic falls within the scope…

Statistical Finance · Quantitative Finance 2023-09-07 Alejandro Rodriguez Dominguez , David Stynes

Detecting object-level changes between two images across possibly different views is a core task in many applications that involve visual inspection or camera surveillance. Existing change-detection approaches suffer from three major…

Computer Vision and Pattern Recognition · Computer Science 2025-01-17 Hung Huy Nguyen , Pooyan Rahmanzadehgervi , Long Mai , Anh Totti Nguyen

We consider change-point estimation in a sequence of high-dimensional signals given noisy observations. Classical approaches to this problem such as the filtered derivative method are useful for sequences of scalar-valued signals, but they…

Statistics Theory · Mathematics 2015-01-08 Yong Sheng Soh , Venkat Chandrasekaran

Strong mixing property holds for a broad class of linear and nonlinear time series models such as ARMA and GARCH models. In this article we study correlation structure of strong mixing sequences, and some asymptotic properties are…

Statistics Theory · Mathematics 2012-03-02 Fatemeh Azizzadeh , Saeid Rezakhah

Fully coherent searches (over realistic ranges of parameter space and year-long observation times) for unknown sources of continuous gravitational waves are computationally prohibitive. Less expensive hierarchical searches divide the data…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Holger J. Pletsch , Bruce Allen

In panel data we observe a usually high number N of individuals over a time period T. Even if T is large one often assumes stability of the model over time. We propose a nonparametric and robust test for a change in location and derive its…

Statistics Theory · Mathematics 2017-03-22 Alexander Dürre , Roland Fried

The product moment covariance is a cornerstone of multivariate data analysis, from which one can derive correlations, principal components, Mahalanobis distances and many other results. Unfortunately the product moment covariance and the…

Methodology · Statistics 2021-05-21 Jakob Raymaekers , Peter J. Rousseeuw

Machine learning often needs to model density from a multidimensional data sample, including correlations between coordinates. Additionally, we often have missing data case: that data points can miss values for some of coordinates. This…

Machine Learning · Computer Science 2018-05-29 Jarek Duda

Highly robust and efficient estimators for the generalized linear model with a dispersion parameter are proposed. The estimators are based on three steps. In the first step the maximum rank correlation estimator is used to consistently…

Methodology · Statistics 2017-03-29 Michael Amiguet , Alfio Marazzi , Marina Valdora , Victor Yohai

We present Link Density (LD) computed from the Recurrence Network (RN) of a time series data as an effective measure that can detect dynamical transitions in a system. We illustrate its use using time series from the standard Rossler system…

Data Analysis, Statistics and Probability · Physics 2024-05-31 Rinku Jacob , R. Misra , K P Harikrishnan , G Ambika

Many systems of interacting elements can be conceptualized as networks, where network nodes represent the elements and network ties represent interactions between the elements. In systems where the underlying network evolves in time, it is…

Methodology · Statistics 2015-05-05 Ian Barnett , Jukka-Pekka Onnela

A sequential test is proposed for detection and isolation of hubs in a correlation graph. Hubs in a correlation graph of a random vector are variables (nodes) that have a strong correlation edge. It is assumed that the random vectors are…

Statistics Theory · Mathematics 2017-02-07 Taposh Banerjee , Alfred O. Hero

High-dimensional data poses unique challenges in outlier detection process. Most of the existing algorithms fail to properly address the issues stemming from a large number of features. In particular, outlier detection algorithms perform…

Machine Learning · Computer Science 2020-09-22 Firuz Kamalov , Ho Hon Leung