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08/23/2023
On-Manifold Projected Gradient Descent
This work provides a computable, direct, and mathematically rigorous app...
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05/12/2023
ActUp: Analyzing and Consolidating tSNE and UMAP
tSNE and UMAP are popular dimensionality reduction algorithms due to the...
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06/20/2022
GiDR-DUN; Gradient Dimensionality Reduction – Differences and Unification
TSNE and UMAP are two of the most popular dimensionality reduction algor...
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04/05/2021
A Generalized Unscented Transformation for Probability Distributions
The unscented transform uses a weighted set of samples called sigma poin...
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04/03/2021
Convergence Analysis of the Rank-Restricted Soft SVD Algorithm
The soft SVD is a robust matrix decomposition algorithm and a key compon...
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06/24/2020
A Higher Order Unscented Transform
We develop a new approach for estimating the expected values of nonlinea...
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03/25/2020
A Poisson Kalman filter for disease surveillance
An optimal filter for Poisson observations is developed as a variant of ...
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03/25/2020
A Poisson Kalman Filter to Control the Dynamics of Neonatal Sepsis and Postinfectious Hydrocephalus
Neonatal sepsis (NS) and resulting complications, such as postinfectious...
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02/18/2020
Bridging data science and dynamical systems theory
This short review describes mathematical techniques for statistical anal...
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11/28/2019