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20092026
most citedBreak detection in the covariance structure of multivariate time series models

251 citations · 487 across the 35 of their papers we have counts for

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8 papers · 1 filter

math.ST2021★ 2 cited

Differential Privacy Over Riemannian Manifolds

Matthew Reimherr, Karthik Bharath, Carlos Soto

In this work we consider the problem of releasing a differentially private statistical summary that resides on a Riemannian manifold. We present an extension of the Laplace or K-no…

math.ST2019★ 1 cited

Optimal Function-on-Scalar Regression over Complex Domains

Matthew Reimherr, Bharath Sriperumbudur, Hyun Bin Kang

In this work we consider the problem of estimating function-on-scalar regression models when the functions are observed over multi-dimensional or manifold domains and with potentia…

math.ST2018

Testing Separability of Functional Time Series

Panayiotis Constantinou, Piotr Kokoszka, Matthew Reimherr

We derive and study a significance test for determining if a panel of functional time series is separable. In the context of this paper, separability means that the covariance stru…

math.ST2017★ 7 cited

Formal Privacy for Functional Data with Gaussian Perturbations

Ardalan Mirshani, Matthew Reimherr, Aleksandra Slavkovic

Motivated by the rapid rise in statistical tools in Functional Data Analysis, we consider the Gaussian mechanism for achieving differential privacy with parameter estimates taking…

math.ST2017

Optimal Prediction for Additive Function-on-Function Regression

Matthew Reimherr, Bharath Sriperumbudur, Bahaeddine Taoufik

As with classic statistics, functional regression models are invaluable in the analysis of functional data. While there are now extensive tools with accompanying theory available f…

math.ST2016

High-Dimensional Adaptive Function-on-Scalar Regression

Zhaohu Fan, Matthew Reimherr

Applications of functional data with large numbers of predictors have grown precipitously in recent years, driven, in part, by rapid advances in genotyping technologies. Given the…

math.ST2016★ 1 cited

The Function-on-Scalar LASSO with Applications to Longitudinal GWAS

Rina Foygel Barber, Matthew Reimherr, Thomas Schill

We present a new methodology for simultaneous variable selection and parameter estimation in function-on-scalar regression with an ultra-high dimensional predictor vector. We exten…

math.ST2009★ 251 cited

Break detection in the covariance structure of multivariate time series models

Alexander Aue, Siegfried Hörmann, Lajos Horváth +1

In this paper, we introduce an asymptotic test procedure to assess the stability of volatilities and cross-volatilites of linear and nonlinear multivariate time series models. The…