HOLLY JACKSON


I’m a third-year PhD student in computer science at UC Berkeley advised by Ben Recht.

Previously, I received my Bachelor’s in electrical engineering and computer science from MIT and my Master’s in human rights studies from Columbia University. I work on on interdisciplinary applications of computer science, from astrophysics to history to politics.


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08 SPARISTY-BASED MIXED-MODE AUTOMATIC DIFFERENTIATION
2020

In Fall 2020, I took MIT class 18.337 (Parallel Computing and Scientific Machine Learning) taught by Prof. Chris Rackauckas. For the final project, I implemented and analyzed several automatic differentiation techniques for nonlinear nodal analysis in Julia.

Due to their grid-like construction, nodal systems often have sparse Jacobian matrices, and we can take advantage of this sparsity to accelerate their computation. In my project, I implemented forward-mode and reverse-mode automatic differentiation to construct the Jacobian of a nodal system. I implemented a matrix coloring scheme to accelerate sparse forward-mode automatic differentiation of the Jacobian of nodal systems. In addition, I implement a combined sparse automatic differentiation technique to compute a Jacobian that is mostly sparse, with several dense rows.

My full final project report can be accessed here. The accompanying Julia script is posted on Github.
(C) 2024 HOLLY JACKSON