Taming AI Hallucinations: Solving Physics with Reality Checks

Imagine designing a bridge with AI, only to have it defy gravity in the simulation. Or predicting weather patterns that create water out of thin air. Current AI models can accurately approximate solutions to complex physics problems. However, these solutions often break fundamental laws, leading to what I call “hallucinations” - results that are physically impossible.

What if, instead of hoping AI respects physics, we forced it to? That’s the core idea behind constraint-projected learning. The concept is straightforward: we teach AI to solve partial differential equations (PDEs) while enforcing the fundamental laws that govern those equations. Think of it like sculpting a marble statue: you start with a block, and…

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