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05/20/2023
Contrastive inverse regression for dimension reduction
Supervised dimension reduction (SDR) has been a topic of growing interes...
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03/13/2023
Kernel Density Bayesian Inverse Reinforcement Learning
Inverse reinforcement learning (IRL) is a powerful framework to infer an...
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11/01/2022
Tree Representations of Brain Structural Connectivity via Persistent Homology
The brain structural connectome is generated by a collection of white ma...
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04/23/2022
Spherical Rotation Dimension Reduction with Geometric Loss Functions
Modern datasets witness high-dimensionality and nontrivial geometries of...
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10/15/2021
Multi-group Gaussian Processes
Gaussian processes (GPs) are pervasive in functional data analysis, mach...
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08/17/2021
From the Greene–Wu Convolution to Gradient Estimation over Riemannian Manifolds
Over a complete Riemannian manifold of finite dimension, Greene and Wu i...
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04/08/2021
Fixed-Domain Inference for Gausian Processes with Matérn Covariogram on Compact Riemannian Manifolds
Gaussian processes are widely employed as versatile modeling and predict...
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02/12/2021
Contrastive latent variable modeling with application to case-control sequencing experiments
High-throughput RNA-sequencing (RNA-seq) technologies are powerful tools...
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12/14/2020
Probabilistic Contrastive Principal Component Analysis
Dimension reduction is useful for exploratory data analysis. In many app...
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09/04/2020
Density estimation and modeling on symmetric spaces
In many applications, data and/or parameters are supported on non-Euclid...
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08/17/2020
Principal Ellipsoid Analysis (PEA): Efficient non-linear dimension reduction clustering
Even with the rise in popularity of over-parameterized models, simple di...
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07/12/2019
Estimating densities with nonlinear support using Fisher-Gaussian kernels
Current tools for multivariate density estimation struggle when the dens...
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06/29/2019
Geodesic Distance Estimation with Spherelets
Many statistical and machine learning approaches rely on pairwise distan...
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05/26/2019
Efficient Curvature Estimation for Oriented Point Clouds
There is an immense literature focused on estimating the curvature of an...
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03/03/2019
Classification via local manifold approximation
Classifiers label data as belonging to one of a set of groups based on i...
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06/26/2017