www.linkedin.com/posts/smarti...

www.linkedin.com/posts/smarti...

📄 More info: openreview.net/pdf?id=ka2jx...

🧪 Fully open-source on GitHub: github.com/FERMat-ML/OM...

🙏 Thanks to all contributors! 💻 Trained on EmpireAI and NYU, UF, & UMN HPC.

RamO(N) 🤣

Nice!

Do systems where the equations are known but cannot be solved in less than exponential time count? If so just take Schroedinger's equation for an interacting many-body system. Perfect description of the problem with no solution :)

Oh and if you think "but surely hydrodynamics was derived from atomistic theories", think again, a lot of hydrodynamics (e.g. Flick's law) was derived phenomenologically (in neuro language, normatively)

So do we need to know the state of every cell in the brain to know the state of the brain? I hope not! We can only understand and predict with coarse grained theories.

In principle this would work but the size of the system of equations that one would have to solve and the time required to solve them makes it 1/ impossible 2/ a dumb proposition because we have a coarse-grained theory (fluid dynamics and continuum mechanics) which are better suited for this problem

I think more to your point, and not unrelated to my previous example, take the lift of a plane. Someone fixated with microscopic details would argue that to model a plane one would have to run a molecular dynamics simulation of every atom in the plane and the surrounding air.

Do systems where the equations are known but cannot be solved in less than exponential time count? If so just take Schroedinger's equation for an interacting many-body system. Perfect description of the problem with no solution :)