research notes

My thoughts on how a meteorology paper published in 1963 explains the difference between two giants of science fiction, with some personal reflections on how they each influence my own work. Introduction My research began in the narrow field of reinforcement learning applied to constrained, optimal control. Solutions were well-structured, precise, and mathematically rigorous. This fit neatly into a deterministic view of the world - if I defined everything correctly and did the math, things would work out well. There was a comfort in this. ...

Key Points Built a custom ChatGPT to assist me with my research. Trained it on actual comments from peer-review. Received feedback on my proposed revisions. Overall impressed with its initial performance. Introduction One of my holiday projects this year was to play with some of the special features that come with the OpenAI ChatGPT Plus account. In additon to gaining access to better models and more reliable performance, the Plus account allows you to create your own custom GPTs, tailored to your own needs. ...

I recently conducted a minor survey on potential functions in the context of multi-agent systems. Collective potential functions are a common way to produce desired separation between agents in a swarm. Fig. 1 provides an illustration of one such scenario. Fig. 1: Illustration of potential functions in action. Note that the agents maintain some common distance between eachother, except when navigating around the obstacles in yellow. Potential A common potential function used in molecular dynamics and lattice formation with equilibrium distances is the Lennard-Jones potential function: ...