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06/09/2023
Estimation of Ridge Using Nonlinear Transformation on Density Function
Ridges play a vital role in accurately approximating the underlying stru...
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04/16/2023
Manifold Fitting: An Invitation to Statistics
While classical statistics has addressed observations that are real numb...
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01/04/2022
A Statistical Approach to Estimating Adsorption-Isotherm Parameters in Gradient-Elution Preparative Liquid Chromatography
Determining the adsorption isotherms is an issue of significant importan...
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08/24/2021
Phase Transitions for High-Dimensional Quadratic Discriminant Analysis with Rare and Weak Signals
Consider a two-class classification problem where we observe samples (X_...
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09/30/2019
Manifold Fitting in Ambient Space
Modern data sets in many applications no longer comprise samples of real...
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09/23/2019
Manifold Fitting under Unbounded Noise
There has been an emerging trend in non-Euclidean dimension reduction of...
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08/11/2019
Quantifying Time-Varying Sources in Magnetoencephalography – A Discrete Approach
We study the distribution of brain source from the most advanced brain i...
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06/16/2019
Community Detection Based on the L_∞ convergence of eigenvectors in DCBM
Spectral clustering is one of the most popular algorithms for community ...
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12/10/2018
Sufficient Dimension Reduction for Classification
We propose a new sufficient dimension reduction approach designed delibe...
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10/21/2017
Principal Boundary on Riemannian Manifolds
We revisit the classification problem and focus on nonlinear methods for...
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12/21/2012