On this page, you will find my scribbles and notes from coursework, research, or personal projects, mostly on topics that interest me or that I found helpful while studying. Since my mathematical training comes from a hodgepodge of courses that I took and audited, as well as other (mostly serious) reading materials, I cannot guarantee that these blurbs are satisfactory to the rigor police despite my best effort. Any feedback, suggestions, and/or corrections are most welcome!
Aside from projects that are in progress, I am still working on transcribing many old notes to make them available here, and this statement is true until I remove this notice.
Published:
Part II of a three-part note on how the common existence and uniqueness results in ODEs and MDPs boil down to the Banach fixed point theorem, which itself is based on the simple geometric series.
Published:
Part I of a three-part note on how the common existence and uniqueness results in ODEs and MDPs boil down to the Banach fixed-point theorem, which itself is based on the simple geometric series.
Published:
A semidefinite program written using the linear matrix inequality can be equivalently written using the trace of a matrix.
Published:
Some basic Fréchet derivative formulas one often encounters in optimization problems.