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02/23/2023
Logistic Regression and Classification with non-Euclidean Covariates
We introduce a logistic regression model for data pairs consisting of a ...
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08/18/2022
Optimal One-pass Nonparametric Estimation Under Memory Constraint
For nonparametric regression in the streaming setting, where data consta...
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09/06/2021
A Unified Approach to Hypothesis Testing for Functional Linear Models
We develop a unified approach to hypothesis testing for various types of...
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05/31/2021
Intrinsic Wasserstein Correlation Analysis
We develop a framework of canonical correlation analysis for distributio...
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01/05/2021
Causal Inference on Non-linear Spaces: Distribution Functions and Beyond
Understanding causal relationships is one of the most important goals of...
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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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09/16/2020
Intrinsic Riemannian Functional Data Analysis for Sparse Longitudinal Observations
A novel framework is developed to intrinsically analyze sparsely observe...
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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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06/17/2020
Wasserstein Regression
The analysis of samples of random objects that do not lie in a vector sp...
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06/05/2020
Mean and Covariance Estimation for Functional Snippets
We consider estimation of mean and covariance functions of functional sn...
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08/25/2019
Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition
We present a new Riemannian metric, termed Log-Cholesky metric, on the m...
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07/08/2019
Modeling Symmetric Positive Definite Matrices with An Application to Functional Brain Connectivity
In neuroscience, functional brain connectivity describes the connectivit...
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05/16/2019
Basis Expansions for Functional Snippets
Estimation of mean and covariance functions is fundamental for functiona...
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05/16/2019
Analytic Basis Expansions for Functional Snippets
Estimation of mean and covariance functions is fundamental for functiona...
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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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12/12/2018
Modeling Longitudinal Data on Riemannian Manifolds
When considering functional principal component analysis for sparsely ob...
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12/05/2018
Intrinsic Riemannian Functional Data Analysis
In this work we develop a novel and foundational framework for analyzing...
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09/13/2018
Estimating Historical Functional Linear Models with a Nested Group Bridge Approach
We study a scalar-on-function historical linear regression model which a...
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07/12/2018