An Exploration of the J-lens

PreambleNote: This was originally written for Neel Nanda's MATS stream application. The analysis is only maybe 30% finished, but I figure it is still perhaps interestingQuick Math PrimerFor context, you can read the J-lens paper here, though it isn't needed to follow the context.To start, I want to briefly review how to understand the Jacobian in the context of the J-lens paper. The Jacobian mjx-container[jax="CHTML"] { line-height: 0; } mjx-container [space="1"] { margin-left: .111em; } mjx-con...