opt

:: exploring compressed sensing fMRI time series

4 minute read Published:

we are once again solving systems of equations
An exploration of compressed sensing fMRI time series with 3 different algorithms. Typically, compressed sensing reconstructs a single volume of MRI but fMRI are composed of many volumes; sensing along the time domain could reduce the number of volumes required. Of the 3 algorithms, BSBL-BO performed the best with the error curve elbowing around 30% subsampling.

:: autonomous motion planning for an NVIDIA JetBot

6 minute read Published:

zoom zoom
Built a JetBot + an exploration and novice implementation of motion planning on said JetBot. This computational game theory project marked my first foray into optimization and a glimpse of its power muahahaha. It ain’t exquisite but it was heading in the right direction.

:: on linear complementarity problems

6 minute read Published:

Solving systems of equations is the most important.
This Fall 2021, I am taking a course on computational game theory, which insofar is the formulation of various games (e.g. bimatrix, Stackelberg) as mathematical programs and the algorithms that solve them, or approximate solutions. Linear complementarity problems are foundational for computing Nash equilibria of simple games.