You are very clear about the current limitations on data size, which I find refreshingly honest! How sensible do you find the idea to fine tune the model to a specific problem that has more than 1000 observations, by resampling the data (similar to bootstrapping) and retraining on the subsamples? As I understand it, one could fine tune the algorithm that TabPFN learned to the specific problem.
Many thanks also for open-sourcing your work and making the colab notebook, I've been playing around with that a bit.
Edit: spelling