In manufacturing, the devil is in the details—and the smallest oversight can lead to big headaches. Too often, it’s 4:30 p.m. on a Friday, you find out your trusted machinist is away on a fishing trip ...

Instead of using RoPE’s low-dimensional limited rotations or ALiBi’s 1D linear bias, FEG builds position encoding on a higher-dimensional geometric structure. The idea is simple at a high level: Treat ...