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08/24/2023
Wasserstein Regression with Empirical Measures and Density Estimation for Sparse Data
The problem of modeling the relationship between univariate distribution...
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07/11/2023
Geodesic Mixed Effects Models for Repeatedly Observed/Longitudinal Random Objects
Mixed effect modeling for longitudinal data is challenging when the obse...
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06/18/2023
Sliced Wasserstein Regression
While statistical modeling of distributional data has gained increased a...
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06/17/2023
Dynamic Modeling of Sparse Longitudinal Data and Functional Snippets With Stochastic Differential Equations
Sparse functional/longitudinal data have attracted widespread interest d...
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06/08/2022
Unified RKHS Methodology and Analysis for Functional Linear and Single-Index Models
Functional linear and single-index models are core regression methods in...
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03/24/2022
Spherical Autoregressive Models, With Application to Distributional and Compositional Time Series
We introduce a new class of autoregressive models for spherical time ser...
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02/12/2022
Depth profiles and the geometric exploration of random objects through optimal transport
We propose new tools for the geometric exploration of data objects takin...
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09/15/2021
Learning delay dynamics for multivariate stochastic processes, with application to the prediction of the growth rate of COVID-19 cases in the United States
Delay differential equations form the underpinning of many complex dynam...
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09/07/2021
Dynamic Network Regression
Network data are increasingly available in various research fields, moti...
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09/06/2021
Distributional Representation of Longitudinal Data: Visualization, Regression and Prediction
We develop a representation of Gaussian distributed sparsely sampled lon...
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08/11/2021
Single Index Fréchet Regression
Single index models provide an effective dimension reduction tool in reg...
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07/20/2021
Conditional Wasserstein Barycenters and Interpolation/Extrapolation of Distributions
Increasingly complex data analysis tasks motivate the study of the depen...
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07/12/2021
Latent Transport Models for Multivariate Functional Data
Multivariate functional data present theoretical and practical complicat...
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05/12/2021
Autoregressive Optimal Transport Models
Series of distributions indexed by equally spaced time points are ubiqui...
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04/09/2021
Modeling Time-Varying Random Objects and Dynamic Networks
Samples of dynamic or time-varying networks and other random object data...
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09/18/2020
Additive Models for Symmetric Positive-Definite Matrices, Riemannian Manifolds and Lie groups
In this paper an additive regression model for a symmetric positive-defi...
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07/02/2020
High-dimensional MANOVA via Bootstrapping and its Application to Functional and Sparse Count Data
We propose a new approach to the problem of high-dimensional multivariat...
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06/24/2020
Uniform convergence of local Fréchet regression and time warping for metric-space-valued trajectories
For real-valued functional data, it is well known that failure to separa...
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06/17/2020
Wasserstein Regression
The analysis of samples of random objects that do not lie in a vector sp...
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05/31/2020
Point Process Regression
Point processes in time have a wide range of applications that include t...
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11/26/2019
Fréchet Change Point Detection
We propose a method to infer the presence and location of change-points ...
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04/21/2019
Total Variation Regularized Fréchet Regression for Metric-Space Valued Data
Non-Euclidean data that are indexed with a scalar predictor such as time...
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12/18/2018
Wasserstein Covariance for Multiple Random Densities
A common feature of methods for analyzing samples of probability density...
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12/12/2018
Modeling Longitudinal Data on Riemannian Manifolds
When considering functional principal component analysis for sparsely ob...
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11/04/2018
Cross-Component Registration for Multivariate Functional Data with Application to Longitudinal Growth Curves
Multivariate functional data are becoming ubiquitous with the advance of...
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10/15/2018
Rank Dynamics for Functional Data
We study the dynamic behavior of cross-sectional ranks over time for fun...
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09/10/2018
Wasserstein Gradients for the Temporal Evolution of Probability Distributions
Many studies have been conducted on flows of probability measures, often...
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08/03/2018
Associating Growth in Infancy and Cognitive Performance in Early Childhood: A functional data analysis approach
Physical growth traits can be naturally represented by continuous functi...
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06/25/2018