Research Projects & Presentations
Journal Articles
Numerical methods for computing the discrete and continuous Laplace transforms ,
IMA Journal of Applied Mathematics , 2024
(arXiv preprint )
Group-Invariant Machine Learning on the Kreuzer-Skarke Dataset ,
Physics Letters B , 2024
Applications of Deep Neural Networks with Fractal Structure and Attention Blocks for 2D & 3D Brain Tumor Segmentation ,
Journal of Statistical Theory and Practice , 2024
Kimesurface Representation and Tensor Linear Modeling of Longitudinal Data ,
Neural Computing and Applications , 2022
Determinism, Well-posedness, and Applications of the Ultrahyperbolic Wave Equation in Spacekime ,
Partial Differential Equations in Applied Mathematics , 2022
Conference Contributions
Best Student Paper Award , American Statistical Association – Statistical Methods in Imaging (SMI) 2024.
Paper: “Statistical foundations of invariance and equivariance in deep artificial neural network learning.”
Preprint
Selected Presentations
Statistical Foundations of Invariance and Equivariance in Deep Artificial Neural Network Learning ,
Statistical Methods in Imaging, May 2024.
Spacekime Analytics (SciFM) , University of Michigan, April 2024.
Invariance and equivariance in deep network learning: mathematical representation, probabilistic symmetry, Variable Exchangeability, and Sufficient Statistics ,
APS East Great Lakes Section, Oct 2023.
Numerical Methods and Analysis for Computing Forward and Inverse Laplace Transform for Discrete and Continuous Signals ,
APS April Meeting, Apr 2023.
Laplace Transform and Inverse Laplace Transforms – Numerical Methods, Groups, and Clifford Algebra ,
APS East Great Lakes Section, Oct 2022.
Wheeler–DeWitt Equation in Spacekime , Oct 2021.
Other Notes
©