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You sent me down a bit of a rabbit hole, but it turned up an interesting answer. Turns out they are nondeterministic, and why they aren't deterministic is still an open question https://thinkingmachines.ai/blog/defeating-nondeterminism-in-llm-inference/
Skipped over the opening graphic on first read but just read it. Could they have picked a creepier sample sentence.
Interesting, I had assumed that turning down temperature to 0, or hardcoding a seed would make LLM inference deterministic.
Especial after watching this video https://youtu.be/J9ZKxsPpRFk
I had thought I had seen both as well.