Geometric Alignment via Teacher-Free Self-Distillation

The "Infinite Gap" and Why Softmax Keeps Me Up at Night To understand any solution, we first have to really understand the problem. I've spent the better part of my research career staring at loss curves, watching them dip, plateau, and occasionally spike catastrophically. We often treat the loss function as a black box, a simple signal telling the network "good dog" or "bad dog." But if you look…