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07/27/2023
PCA, SVD, and Centering of Data
The research detailed in this paper scrutinizes Principal Component Anal...
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09/07/2022
On the Wasserstein median of probability measures
Measures of central tendency such as mean and median are a primary way t...
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08/26/2022
Comparing multiple latent space embeddings using topological analysis
The latent space model is one of the well-known methods for statistical ...
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08/25/2022
On the spherical Laplace distribution
The von Mises-Fisher (vMF) distribution has long been a mainstay for inf...
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12/05/2021
Bayesian Optimal Two-sample Tests in High-dimension
We propose optimal Bayesian two-sample tests for testing equality of hig...
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06/11/2021
Parameter Estimation and Model-Based Clustering with Spherical Normal Distribution on the Unit Hypersphere
In directional statistics, the von Mises-Fisher (vMF) distribution is on...
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06/03/2021
Shape-Preserving Dimensionality Reduction : An Algorithm and Measures of Topological Equivalence
We introduce a linear dimensionality reduction technique preserving topo...
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05/22/2020
Rdimtools: An R package for Dimension Reduction and Intrinsic Dimension Estimation
Discovering patterns of the complex high-dimensional data is a long-stan...
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11/07/2019
Data transforming augmentation for heteroscedastic models
Data augmentation (DA) turns seemingly intractable computational problem...
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10/12/2018
Bayesian Hierarchical Spatial Model for Small Area Estimation with Non-ignorable Nonresponses and Its Applications to the NHANES Dental Caries Assessments
In order to identify the demographic or dental hygienic factors that rel...
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10/05/2018