It is. If you control the randomness involved, the output of a model is completely deterministic. Which means that it can be represented by a huge lookup table.
Anything that can be represented by a lookup table can be expressed as an `if then else` statement.
Regardless, it remains irrelevant to the subject at hand. You're going off on a tangent rather than admit your initial claim was wrong.
NO!
`sin(x)` is continuous, so the domain is infinite.
But an LLM model is not a continuous function, and thus the domain of a LLM model is finite (set of all possible tokens). So using a lookup table for a model behavior would be exact and not an approximation. So it can indeed be represented by an if statement of finite size.
Hence proved!
If you don't understand something in what I wrote, I can clarify if you tell me where you have trouble following.
>If you control the randomness involved
It is inherently randomized
https://sulbhajain.medium.com/why-llms-arent-truly-determini...
>The Thinking Machines research team showed it’s possible to fix this. They built batch-invariant kernels for RMSNorm, matrix multiplication, and attention, integrating them into the open-source inference engine vLLM.
>The outcome: 1,000 identical prompts, 1,000 identical outputs. Perfect reproducibility.
??