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Author:

Lin, Junli

Title:

Copula Versions of RKHS-Based and Distance-Based Criteria

Graduate Program:

Statistics

Keywords:

kernel methods
permutation method
two-sample problems
copula
kernel methods
permutation methods
V-statistic

File:

Download JunliLin-Dissertation.pdf

Committee Members:

Michael Akritas, Dissertation Advisor/Co-Advisor
Michael Akritas, Committee Chair/Co-Chair
Matthew Reimherr, Committee Member
Bharath Sriperumbudur, Committee Member
Jesse Barlow, Outside Member

Author:

Gilani, Faheem

Title:

Diffusion Maps and its Applications to Time series Forecasting and Filtering and Second Order Elliptic PDEs

Graduate Program:

Mathematics

Keywords:

Machine Learning
kernel methods
nerural networks
chaotic dynamics
manifold learning
diffusion maps
ENSO

File:

Download Dissertation_2.pdf

Committee Members:

Alberto Bressan, Major Field Member
John Harlim, Chair & Dissertation Advisor
Bharath Kumar Sriperumbudur, Outside Unit & Field Member
Xiantao Li, Major Field Member
Carina Curto, Program Head/Chair

Author:

Yan, Qile

Title:

Mesh-Less Methods for Solving PDEs on Unknown Manifolds

Graduate Program:

Mathematics

Keywords:

kernel methods
point cloud data
elliptic PDEs solvers
mesh-free methods
Radial Basis Function

File:

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Committee Members:

Ludmil Zikatanov, Major Field Member
Xiaofeng Liu, Outside Unit & Field Member
John Harlim, Chair & Dissertation Advisor
Xiantao Li, Major Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies