Graduate Assistant, Department of Mathematics,
University of Florida, Gainesville, Florida, 32603
Aug 2018 – Present
- Deep Learning as an Optimal Control under the supervision of Dr. William Hager.
— Derived the back propagation algorithm of ANN and CNN using Lagrange Multiplier.
— Compared the derived back propagation algorithm using Lagrange Multiplier with the standard back propagation derivation.
Research Associate, Department of Mathematical Sciences,
Cameron University, Lawton, Oklahoma, 73505
Jan 2016 – May 2018
- Extending the Local Convergence Analysis of Newton’s Method under the supervision of Dr. Ioannis K. Argyros.
— Approximate a locally unique solution of a non- linear equation in a Banach Space setting.
— Developed and Implemented Computational Algorithm to compute the radius of convergence and error bounds. - Comparing the Local Convergence Analysis of Some Newton-Like Methods for Solving Equations under the supervision of Dr. Ioannis K. Argyros.
— Compared the Analysis of Newton-Like Methods to approximate a locally unique solution of a non- linear equation in a Banach Space setting.
— Computed the radii of convergence using two-step Newton Method and two-step Midpoint Method.
–– Computed the error bounds on the distances involved using Lipschitz constant. - Mathematics behind a Guitar String under the supervision of Dr. Narayan Thapa.
— Studied the physics behind a guitar string.
–– Analyzed the wave equation and solved IBVP.
–– Interpreted the displacement function.