Problem C: Dog Cannot Catch a Treat -- Modeling Experience to Predicting Dog Catching Behavior
0Presented by:
Ming Gong, Bard College at Simon's Rock, Great Barrington MA USA
Paul Rose, Bard College at Simon's Rock, Great Barrington MA USA
Anthony Chang, Bard College at Simon's Rock, Great Barrington MA USA
https://qubeshub.org/community/groups/simiode/expo
Abstract: In this presentation, we discuss our insights from SCUDEM 2023 Problem C: Dog Cannot Catch, where we employed a systematic methodology for mathematical modeling. We modeled the mouth as a damped-driven harmonic oscillator and compared the predicted behavior to data taken by an AI tracker. Then, we used the linear prediction assumption to calculate when and where the dog will open its mouth to catch the food. Finally, we used the dog’s behavior and the actual trajectory to derive an inequality that must be satisfied for a catch to be successful. To conclude, we acknowledge some shortcomings of our model and discuss possible extensions and implications.